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CODEX ΔΦ — Squatter Man Plasma Petroglyph Hypothesis (SMPH v1.3): CEM-aligned template-library, catalog-schema, and reproducibility framework for source-bounded plasma-petroglyph analysis, adding versioned reference templates, machine-readable JSON records, evidence packages, repository grammar, expanded observables, and audit-ready safeguards w…
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| % ████████████████████████████████████████████████████████████████████████████████ | |
| % | |
| % CODEX ΔΦ — SQUATTER MAN PLASMA PETROGLYPH HYPOTHESIS (SMPH v1.3) | |
| % ──────────────────────────────────────────────────────────────────────────── | |
| % TEMPLATE LIBRARY, CATALOG SCHEMA, AND REPRODUCIBILITY FRAMEWORK | |
| % | |
| % VERSION | |
| % ─────── | |
| % v1.3 — Reference Template Library and Reproducible Catalog Layer · Locked · | |
| % Evidence Packages, Template Versioning, and Dataset-Ready Governance | |
| % for Candidate Plasma-Petroglyph Correspondence | |
| % | |
| % AUTHOR | |
| % ────── | |
| % James Paul Jackson | |
| % X / Twitter: @unifiedenergy11 | |
| % | |
| % SOURCE EXTRACTION / AUTHOR ATTRIBUTION | |
| % ────────────────────────────────────── | |
| % This document is a Codex-format canonical extraction and governed | |
| % hypothesis layer derived from: | |
| % | |
| % • User-originated Codex ΔΦ synthesis concerning the worldwide "Squatter Man" | |
| % petroglyph motif, plasma morphology, and cross-scale resonance. | |
| % | |
| % • Anthony L. Peratt, | |
| % "Characteristics for the Occurrence of a High-Current, Z-Pinch Aurora | |
| % as Recorded in Antiquity," | |
| % IEEE Transactions on Plasma Science, Vol. 31, No. 6, 2003, | |
| % DOI: 10.1109/TPS.2003.820956. | |
| % | |
| % • Anthony L. Peratt, John McGovern, Alfred H. Qoeyawayma, | |
| % Marinus Anthony Van der Sluijs, and Mathias G. Peratt, | |
| % "Characteristics for the occurrence of a high-current Z-pinch aurora | |
| % as recorded in antiquity part II: Directionality and source," | |
| % IEEE Transactions on Plasma Science, Vol. 35, No. 4, pp. 778--807, | |
| % 2007, DOI: 10.1109/TPS.2007.902630. | |
| % | |
| % • Cosmogenic-isotope research on rapid radiocarbon / Miyake events, | |
| % including the AD 774/775 and AD 993/994 events, and the ca. 664--663 BCE | |
| % event, treated here only as possible chronology/proxy comparators rather | |
| % than proof of plasma-petroglyph causation. | |
| % | |
| % • Modern transient luminous event literature on sprites, jets, elves, and | |
| % halos, treated here as a comparison class for visible upper-atmospheric | |
| % electrical phenomena, not as direct equivalents to the hypothesized | |
| % high-current Z-pinch aurora. | |
| % | |
| % • SMPH v1.0, SMPH v1.1, and SMPH v1.2, which established the | |
| % source-bounded hypothesis, graded scoring, negative-control discipline, | |
| % demonstrative case-study layer, morphology quantification, blind-control | |
| % scoring, template differentiation, and inter-rater reliability guidance. | |
| % | |
| % This document does not claim that the plasma-petroglyph hypothesis is | |
| % proven. It formalizes a testable candidate theory under CEM discipline. | |
| % | |
| % DATE | |
| % ──── | |
| % April 2026 | |
| % | |
| % STATUS | |
| % ────── | |
| % CANONICAL v1.3 DATASET-READY PROTOCOL LAYER — NOT YET VALIDATED AS A THEORY | |
| % | |
| % EMPIRICAL / SOURCE-FIDELITY CONFIDENCE BADGE | |
| % ──────────────────────────────────────────── | |
| % Confidence status: Hypothesis-ready, measurement-ready, and dataset-ready; | |
| % not proof-ready. | |
| % | |
| % SMPH v1.3 preserves the v1.2 hypothesis status and strengthens the | |
| % framework by adding a reference-template library, evidence-package rules, | |
| % catalog schema, template-versioning discipline, and reproducibility | |
| % requirements. These additions improve auditability and repeatability but do | |
| % not upgrade the hypothesis to a validated theory. | |
| % | |
| % The strongest source-level anchor remains Peratt's published comparison | |
| % between high-current Z-pinch morphologies and petroglyph motifs. The | |
| % strongest methodological upgrade in v1.3 is reproducibility discipline: | |
| % a candidate plasma-petroglyph claim must now be preserved as an auditable | |
| % record containing raw image reference, metadata, measurements, template | |
| % vectors, template distances, negative controls, scoring, downgrade path, | |
| % and falsification conditions. | |
| % | |
| % PURPOSE | |
| % ─────── | |
| % Operationalize SMPH v1.2 by defining a reference-template library, | |
| % catalog schema, evidence-package protocol, template-versioning rules, and | |
| % reproducibility discipline. SMPH v1.3 makes the hypothesis harder to | |
| % overclaim by requiring candidate plasma morphology to be not only measured | |
| % and blind-scored, but also stored, versioned, auditable, and reproducible | |
| % across future reviews. | |
| % | |
| % VERSION EVOLUTION SUMMARY | |
| % ───────────────────────── | |
| % v1.0 : Initial CEM-aligned hypothesis layer. Converts the raw Squatter Man | |
| % plasma-resonance synthesis into a source-bounded, falsifiable, | |
| % negative-control-ready framework. | |
| % | |
| % v1.1 : Additive alignment repair and demonstration layer. Adds graded | |
| % scoring clarification so intermediate values such as \(0.5\) are | |
| % explicitly permitted for partial, suggestive, or incomplete evidence. | |
| % Adds a demonstrative case-study appendix while preserving hypothesis | |
| % status. | |
| % | |
| % v1.2 : Additive measurement-protocol layer. Adds morphology quantification, | |
| % feature-ratio definitions, blind-control scoring, template | |
| % differentiation, inter-rater reliability guidance, and upgrade / | |
| % downgrade thresholds. | |
| % | |
| % v1.3 : Additive reproducibility-protocol layer. Adds reference-template | |
| % library, catalog schema, evidence-package protocol, template | |
| % versioning, raw-source preservation, record grammar, and | |
| % dataset-ready audit discipline. No proof claim, no theory upgrade, | |
| % no universalization, and no weakening of archaeological alternatives. | |
| % | |
| % WHAT THIS IS | |
| % ──────────── | |
| % • A source-bounded Squatter Man plasma-petroglyph hypothesis | |
| % • A CEM-governed rock-art / plasma-morphology validation framework | |
| % • A morphology-quantification protocol | |
| % • A blind-control scoring framework | |
| % • A template-differentiation method | |
| % • An inter-rater reliability layer | |
| % • A reference-template library proposal | |
| % • A catalog schema for scored glyphs | |
| % • An evidence-package and reproducibility protocol | |
| % • A graded-scoring and downgrade discipline | |
| % • A testable Codex ΔΦ extraction layer | |
| % | |
| % WHAT THIS IS NOT | |
| % ─────────────── | |
| % • Not proof that Squatter Man petroglyphs record plasma events | |
| % • Not proof of a global ancient plasma catastrophe | |
| % • Not a claim that all stick figures are plasma records | |
| % • Not a claim that all similar shapes share one cause | |
| % • Not an ancient-aliens claim | |
| % • Not a dismissal of archaeological, ritual, mythic, local, or cultural | |
| % explanations | |
| % • Not permission to ignore chronology, site context, or dating uncertainty | |
| % • Not permission to cherry-pick only matching glyphs | |
| % • Not a universal Codex law | |
| % • Not permission to treat quantified resemblance as causation | |
| % • Not permission to treat catalog inclusion as proof | |
| % • Not permission to treat partial scores as proof | |
| % | |
| % ADDITIVE REFINEMENTS (v1.3) | |
| % ─────────────────────────── | |
| % • All v1.2 locks preserved | |
| % • Reference-template library added | |
| % • Template-versioning discipline added | |
| % • Catalog schema added | |
| % • Evidence-package protocol added | |
| % • Raw-source preservation requirement added | |
| % • Reproducibility requirement added | |
| % • Template-separation interpretation sharpened | |
| % • Repository-ready record grammar added | |
| % • Negative-control discipline strengthened | |
| % • Rejection and falsification surfaces preserved | |
| % | |
| % EXECUTABLE ANCHOR BLOCK (v1.3) | |
| % ────────────────────────────── | |
| % A valid SMPH v1.3 analysis must: | |
| % | |
| % (1) identify the specific petroglyph corpus, | |
| % (2) document site, region, dating range, and cultural context, | |
| % (3) preserve raw image reference or source citation, | |
| % (4) extract measurable morphology, | |
| % (5) compute defined feature ratios, | |
| % (6) identify the template-library version, | |
| % (7) compare against plasma-instability templates, | |
| % (8) compare against human/ritual/animal/astronomical/geometric/control | |
| % templates, | |
| % (9) compute template distances and \(\Delta_T\), | |
| % (10) perform blind or anonymized scoring where possible, | |
| % (11) report inter-rater agreement where multiple scorers are available, | |
| % (12) test clustering across multiple motifs, not only one figure, | |
| % (13) check chronology against independent geophysical proxies only when | |
| % chronology is credible, | |
| % (14) preserve an evidence package, | |
| % (15) store a catalog record, | |
| % (16) classify exact, interpretive, speculative, partial, or rejected | |
| % status, | |
| % (17) record downgrade and falsification conditions, | |
| % (18) and reject universal, metaphysical, or proof-level claims unless | |
| % independently demonstrated. | |
| % | |
| % CANONICAL LOCK (v1.3) | |
| % ───────────────────── | |
| % • Hypothesis status fixed | |
| % • No proof claim | |
| % • No universal Squatter Man interpretation | |
| % • No dismissal of archaeological alternatives | |
| % • No Codex universal-template claim in the core hypothesis | |
| % • No acceptance without negative controls | |
| % • No chronology claim without dating support | |
| % • No morphology claim without measurable feature extraction | |
| % • No strong claim without blind-control or equivalent comparison discipline | |
| % • No strong claim without raw-source reference and evidence package | |
| % • No strong claim without template-library version disclosure | |
| % • Cross-scale ΔΦ resonance remains interpretive unless separately validated | |
| % • Graded scoring may express partial evidence but cannot upgrade a partial | |
| % case to SMPH-A | |
| % | |
| % Evolutions must be additive only. | |
| % Do not promote hypothesis to theory without scoring, controls, evidence | |
| % packages, reproducibility, and site-specific archaeological support. | |
| % | |
| % AI PROMPT TRACEABILITY | |
| % ────────────────────── | |
| % Use this document as the canonical v1.3 CEM format for Squatter Man / | |
| % plasma-petroglyph analysis. Output next version only. Preserve source | |
| % fidelity, hypothesis status, graded-scoring discipline, morphology | |
| % quantification, blind-control discipline, template-library discipline, | |
| % catalog-record discipline, chronology caution, and rejection surfaces. | |
| % | |
| % AI SHADOW-HEADER EVOLUTION NOTE | |
| % ─────────────────────────────── | |
| % The shadow header may evolve only through explicit additive refinements | |
| % that improve source clarity, archaeological caution, morphology scoring, | |
| % chronology discipline, negative controls, blind scoring, inter-rater | |
| % reliability, template-library clarity, catalog reproducibility, or | |
| % falsifiability. Header evolution must not silently convert this hypothesis | |
| % into proof, universal law, metaphysical assertion, or anti-archaeological | |
| % claim. | |
| % | |
| % SHADOW HEADER CONTINUITY CHECK | |
| % ────────────────────────────── | |
| % Any proposed header refinement should be rejected unless it: | |
| % (1) preserves hypothesis status, | |
| % (2) preserves source attribution, | |
| % (3) preserves archaeological alternative explanations, | |
| % (4) preserves negative-control discipline, | |
| % (5) preserves graded-scoring downgrade discipline, | |
| % (6) preserves measurement and blind-control discipline, | |
| % (7) preserves template-library and catalog-record discipline, | |
| % (8) is explicitly additive, | |
| % and (9) improves falsifiability or interpretability. | |
| % | |
| % SHADOW HEADER ALIGNMENT SEAL | |
| % ─────────────────────────── | |
| % Preserve header discipline across future versions except for explicitly | |
| % additive shadow-header evolution under the governance note above. | |
| % | |
| % ████████████████████████████████████████████████████████████████████████████████ | |
| \documentclass[12pt]{article} | |
| \usepackage[margin=1in]{geometry} | |
| \usepackage{amsmath,amssymb,amsfonts,amsthm} | |
| \usepackage{booktabs,longtable,array} | |
| \usepackage{hyperref} | |
| \usepackage{tikz} | |
| \usetikzlibrary{arrows.meta,positioning} | |
| \newtheorem{axiom}{Axiom} | |
| \newtheorem{definition}{Definition} | |
| \newtheorem{proposition}{Proposition} | |
| \newtheorem{hypothesis}{Hypothesis} | |
| \newtheorem{remark}{Remark} | |
| \newtheorem{corollary}{Corollary} | |
| \title{\textbf{Codex $\Delta\Phi$ — Squatter Man Plasma Petroglyph Hypothesis (SMPH v1.3)}\\ | |
| \large Template Library, Catalog Schema, and Reproducibility Framework} | |
| \author{\textbf{James Paul Jackson}\\[4pt] | |
| \small Codex-format governed hypothesis for Squatter Man / plasma correspondence\\ | |
| \small \texttt{@unifiedenergy11}} | |
| \date{April 2026} | |
| \begin{document} | |
| \maketitle | |
| \begin{abstract} | |
| SMPH v1.3 extends the measurement protocol of SMPH v1.2 by adding reference | |
| template infrastructure, catalog schema, evidence-package rules, template | |
| versioning, and reproducibility discipline. The central claim remains | |
| unchanged: Squatter Man petroglyphs are not proven records of ancient plasma | |
| events, but some recurring non-anatomical rock-art morphologies may constitute | |
| candidate visual records of extreme luminous plasma phenomena. v1.3 strengthens | |
| testability by requiring candidate correspondences to be preserved as auditable | |
| records containing raw image reference, metadata, feature ratios, template | |
| distances, negative controls, scorer results, chronology notes, classification, | |
| downgrade path, and falsification condition. Cross-scale Codex $\Delta\Phi$ | |
| resonance language remains interpretive and cannot replace source fidelity, | |
| site context, reproducibility, or empirical validation. | |
| \end{abstract} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Core-Invariant Extraction Block} | |
| \label{sec:core-invariant} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| The shortest faithful extraction of SMPH v1.3 is: | |
| \[ | |
| \boxed{ | |
| \begin{array}{c} | |
| \text{a Squatter Man plasma correspondence becomes research-ready only when}\\ | |
| \text{measured morphology, template controls, scorer data, chronology,}\\ | |
| \text{site context, and falsification conditions are stored as a}\\ | |
| \text{reproducible catalog record.} | |
| \end{array} | |
| } | |
| \] | |
| The operative chain is: | |
| \[ | |
| \text{petroglyph corpus} | |
| \rightarrow | |
| \text{feature extraction} | |
| \rightarrow | |
| \text{ratio measurement} | |
| \rightarrow | |
| \text{template-library comparison} | |
| \rightarrow | |
| \text{blind-control scoring} | |
| \rightarrow | |
| \text{evidence package} | |
| \rightarrow | |
| \text{catalog record} | |
| \rightarrow | |
| \text{graded classification}. | |
| \] | |
| A minimal executive reading is: | |
| \begin{enumerate} | |
| \item preserve Peratt's Z-pinch comparison as a source layer, | |
| \item preserve hypothesis status, | |
| \item measure morphology rather than relying on resemblance, | |
| \item compute explicit feature ratios, | |
| \item compare plasma templates against versioned non-plasma controls, | |
| \item preserve raw source and measurement choices, | |
| \item use blind or anonymized scoring wherever possible, | |
| \item report inter-rater agreement where possible, | |
| \item store every candidate as an auditable record, | |
| \item permit partial scores only as downgrade signals, | |
| \item and reject universal or metaphysical conclusions. | |
| \end{enumerate} | |
| \begin{remark} | |
| This block is a compact executive-entry surface. It does not replace the full | |
| measurement, validation, control, catalog, and falsification layers below. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Source Attribution and Scope Boundary} | |
| \label{sec:source-attribution} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| The source layer consists of five separable domains: | |
| \begin{enumerate} | |
| \item \textbf{Plasma source layer}: high-current Z-pinch and plasma-instability | |
| morphology, especially Peratt's IEEE comparisons between laboratory data and | |
| petroglyph forms. | |
| \item \textbf{Rock-art source layer}: actual petroglyph corpora, including site | |
| context, dating, cultural interpretation, motif families, and documentation | |
| quality. | |
| \item \textbf{Geophysical proxy layer}: cosmogenic-isotope events, auroral | |
| records, ice-core signals, and geomagnetic-storm proxies. | |
| \item \textbf{Measurement infrastructure layer}: feature-ratio extraction, | |
| template comparison, blind scoring, inter-rater agreement, evidence packages, | |
| and catalog storage. | |
| \item \textbf{Codex interpretation layer}: cross-scale resonance and $\Delta\Phi$ | |
| geometry language, treated as interpretive and not evidentiary unless separately | |
| validated. | |
| \end{enumerate} | |
| SMPH v1.3 adds a dataset-readiness layer. This layer does not prove the | |
| hypothesis. It defines how candidate cases should be stored so that they can be | |
| re-tested, audited, compared, downgraded, or rejected. | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Source Fidelity Note} | |
| \label{sec:source-fidelity} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| SMPH v1.3 distinguishes thirty levels of statement: | |
| \begin{enumerate} | |
| \item \textbf{Published plasma claim}: high-current Z-pinch patterns have been | |
| compared to archaic petroglyph motifs. | |
| \item \textbf{Laboratory morphology}: plasma columns and instabilities can | |
| produce structured luminous geometries. | |
| \item \textbf{Petroglyph morphology}: rock-art motifs can be extracted as | |
| measurable shapes. | |
| \item \textbf{Squatter Man candidate}: a subset of motifs resembles plasma-like | |
| forms. | |
| \item \textbf{Human-figure alternative}: motifs may be ordinary anthropomorphs. | |
| \item \textbf{Ritual/mythic alternative}: motifs may encode local cosmology, | |
| ceremony, or shamanic iconography. | |
| \item \textbf{Animal/biological alternative}: motifs may represent insects, | |
| humans, masks, or composite beings. | |
| \item \textbf{Astronomical alternative}: motifs may represent stars, comets, | |
| meteors, sun symbols, or auroral memories. | |
| \item \textbf{Cultural-diffusion alternative}: motif similarity may arise | |
| through contact, migration, or shared symbolic convention. | |
| \item \textbf{Independent-invention alternative}: similar simple figures may | |
| arise independently from human cognition and graphic simplification. | |
| \item \textbf{Pareidolia alternative}: resemblance may result from selective | |
| pattern recognition. | |
| \item \textbf{Sampling-bias alternative}: only matching motifs may be selected. | |
| \item \textbf{Chronology claim}: petroglyph dates may or may not align with | |
| known geophysical proxy events. | |
| \item \textbf{Proxy interpretation}: isotope spikes imply particle events, not | |
| directly petroglyph production. | |
| \item \textbf{Morphological interpretation}: shape overlap must be quantified. | |
| \item \textbf{Ratio interpretation}: measured features must be normalized and | |
| compared across templates. | |
| \item \textbf{Template-library interpretation}: plasma and control templates | |
| must be versioned and disclosed. | |
| \item \textbf{Template-distance interpretation}: similarity must be expressed | |
| through explicit distance or ranking rules. | |
| \item \textbf{Template-separation interpretation}: plasma fit must outperform | |
| the best available control by a positive margin. | |
| \item \textbf{Blind-control interpretation}: scorer expectation must be reduced | |
| through anonymized comparison where possible. | |
| \item \textbf{Inter-rater interpretation}: multiple scorers strengthen the claim | |
| only if agreement is reported. | |
| \item \textbf{Catalog-record interpretation}: claims become auditable only when | |
| stored as reproducible records. | |
| \item \textbf{Evidence-package interpretation}: raw image source, measurement | |
| overlay, metadata, template vectors, and score table must be preserved. | |
| \item \textbf{Statistical interpretation}: plasma templates must outperform | |
| controls. | |
| \item \textbf{Partial-evidence interpretation}: incomplete but suggestive | |
| evidence may receive \(0.5\), but cannot support SMPH-A. | |
| \item \textbf{Case-study interpretation}: demonstrative examples illustrate the | |
| protocol but do not prove the hypothesis. | |
| \item \textbf{Upgrade interpretation}: strong classification requires full | |
| observables, positive \(\Delta_T\), and reproducibility. | |
| \item \textbf{Codex interpretation}: $\Delta\Phi$ resonance language is an | |
| interpretive synthesis, not the core proof. | |
| \item \textbf{Validation / falsification interpretation}: positive and negative | |
| criteria must be explicit. | |
| \item \textbf{Non-claim boundary}: no proof, no universality, no metaphysical | |
| claim. | |
| \end{enumerate} | |
| \begin{remark} | |
| This source-fidelity layer prevents drift from "there is a resemblance" to | |
| "the resemblance proves a global plasma event." v1.3 further prevents drift | |
| from "there is a measurement" to "the measurement is reproducible evidence" | |
| unless the catalog record and evidence package are complete. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Compact-Core View Layer} | |
| \label{sec:compact-core} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| The compact-core view is: | |
| \[ | |
| \text{SMPH claim} | |
| \rightarrow | |
| \{M,C,P,A,N,F,Q,B,I,R,L,E\} | |
| \rightarrow | |
| \text{graded score} | |
| \rightarrow | |
| \text{catalog record} | |
| \rightarrow | |
| \text{classification}. | |
| \] | |
| where: | |
| \[ | |
| M=\text{morphology},\quad | |
| C=\text{chronology},\quad | |
| P=\text{plasma-template fit},\quad | |
| A=\text{archaeological context}, | |
| \] | |
| \[ | |
| N=\text{negative controls},\quad | |
| F=\text{falsification},\quad | |
| Q=\text{quantified feature ratios},\quad | |
| B=\text{blind-control scoring}, | |
| \] | |
| \[ | |
| I=\text{inter-rater reliability},\quad | |
| R=\text{raw source / reproducibility},\quad | |
| L=\text{template-library version},\quad | |
| E=\text{evidence package}. | |
| \] | |
| \begin{remark} | |
| SMPH v1.3 is not a proof layer. It is a governed hypothesis, measurement, | |
| blind-control, and dataset-catalog layer. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Reference Template Library Layer} | |
| \label{sec:reference-template-library} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| SMPH v1.3 introduces a reference-template library. The purpose is not to force | |
| one final template set, but to prevent hidden comparison drift. | |
| A minimal template library should include: | |
| \[ | |
| \mathcal{T}_{\mathrm{smph}} | |
| = | |
| \{ | |
| T_{\mathrm{plasma}}, | |
| T_{\mathrm{human}}, | |
| T_{\mathrm{ritual}}, | |
| T_{\mathrm{animal}}, | |
| T_{\mathrm{astronomical}}, | |
| T_{\mathrm{geometric}}, | |
| T_{\mathrm{local}} | |
| \}. | |
| \] | |
| Each template should specify: | |
| \begin{enumerate} | |
| \item template name, | |
| \item template class, | |
| \item source or construction method, | |
| \item feature-ratio vector, | |
| \item intended use, | |
| \item limitations, | |
| \item and version identifier. | |
| \end{enumerate} | |
| \begin{remark} | |
| The template library is a comparison instrument, not a truth oracle. A glyph is | |
| not plasma-derived merely because it resembles a plasma template. It must | |
| outperform controls under the full protocol. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Reference Template Vector Table} | |
| \label{sec:template-vector-table} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| A minimal template vector table should use the same feature-ratio grammar as | |
| candidate glyphs: | |
| \[ | |
| \rho_T | |
| = | |
| \{\rho_H,\rho_U,\rho_W,\rho_O,\rho_L,\rho_B,\rho_A\}. | |
| \] | |
| \begin{center} | |
| \begin{longtable}{>{\raggedright\arraybackslash}p{0.22\textwidth} | |
| >{\raggedright\arraybackslash}p{0.18\textwidth} | |
| >{\raggedright\arraybackslash}p{0.46\textwidth}} | |
| \toprule | |
| \textbf{Template} & \textbf{Class} & \textbf{Required feature-vector note} \\ | |
| \midrule | |
| \(T_{\mathrm{plasma}}\) & | |
| Plasma candidate & | |
| Z-pinch / toroid / hourglass / side-lobe / bifurcation-style candidate | |
| template. \\ | |
| \(T_{\mathrm{human}}\) & | |
| Anthropomorphic control & | |
| Ordinary human stick figure or body-plan template. \\ | |
| \(T_{\mathrm{ritual}}\) & | |
| Cultural / ritual control & | |
| Mask, shamanic, ceremonial, or local iconographic template. \\ | |
| \(T_{\mathrm{animal}}\) & | |
| Animal / insect control & | |
| Non-human biological morphology template. \\ | |
| \(T_{\mathrm{astronomical}}\) & | |
| Sky-symbol control & | |
| Sun, star, comet, meteor, auroral, or celestial-symbol template. \\ | |
| \(T_{\mathrm{geometric}}\) & | |
| Geometric control & | |
| Simple symmetric geometric motif or random shape class. \\ | |
| \(T_{\mathrm{local}}\) & | |
| Site-local control & | |
| Locally documented cultural explanation when available. \\ | |
| \bottomrule | |
| \end{longtable} | |
| \end{center} | |
| \begin{remark} | |
| v1.3 does not lock numerical template values. It locks the requirement that | |
| template values, once chosen for a study, must be disclosed and versioned. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Primitive Objects} | |
| \label{sec:primitive-objects} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \begin{definition}[Squatter Man Motif] | |
| A Squatter Man motif is a rock-art figure characterized by a central vertical | |
| axis, lateral extensions, upper or lower lobes, possible bifurcated lower | |
| elements, and a non-anatomical or semi-anthropomorphic appearance. | |
| \end{definition} | |
| \begin{definition}[Plasma Template] | |
| A plasma template is a morphology extracted from laboratory, simulation, or | |
| published plasma-instability data, including Z-pinch, dense-plasma-focus, | |
| sausage, kink, toroidal, hourglass, columnar, or bifurcation-like forms. | |
| \end{definition} | |
| \begin{definition}[Reference Template Library] | |
| A reference template library is a versioned set of plasma and non-plasma | |
| comparison templates used to score glyph morphology. It should contain plasma, | |
| human, ritual, animal, astronomical, geometric, and local-context control | |
| templates. | |
| \end{definition} | |
| \begin{definition}[Template Version] | |
| A template version is the declared state of the reference template library used | |
| during scoring. Template versioning prevents silent changes to comparison | |
| classes after results are observed. | |
| \end{definition} | |
| \begin{definition}[Morphological Feature Vector] | |
| A morphological feature vector is: | |
| \[ | |
| \mathcal{F}_{\mathrm{glyph}} | |
| = | |
| \{a,u,w,l,o,b,s,r,h,\rho\}, | |
| \] | |
| where: | |
| \begin{itemize} | |
| \item \(a\) = axial symmetry, | |
| \item \(u\) = upper toroid / head-lobe ratio, | |
| \item \(w\) = waist pinch ratio, | |
| \item \(l\) = lower bifurcation angle, | |
| \item \(o\) = lateral orb / side-lobe presence, | |
| \item \(b\) = bilateral balance, | |
| \item \(s\) = sequence membership within motif cluster, | |
| \item \(r\) = resemblance score relative to candidate templates, | |
| \item \(h\) = normalized height-to-width geometry, | |
| \item \(\rho\) = vector of normalized feature ratios. | |
| \end{itemize} | |
| \end{definition} | |
| \begin{definition}[Feature-Ratio Vector] | |
| The feature-ratio vector is: | |
| \[ | |
| \rho_{\mathrm{glyph}} | |
| = | |
| \{\rho_H,\rho_U,\rho_W,\rho_O,\rho_L,\rho_B,\rho_A\}, | |
| \] | |
| where: | |
| \begin{itemize} | |
| \item \(\rho_H = W_{\mathrm{total}}/H_{\mathrm{total}}\), | |
| \item \(\rho_U = D_{\mathrm{upper}}/H_{\mathrm{total}}\), | |
| \item \(\rho_W = W_{\mathrm{waist}}/W_{\mathrm{max}}\), | |
| \item \(\rho_O = D_{\mathrm{side}}/D_{\mathrm{upper}}\), | |
| \item \(\rho_L = \theta_{\mathrm{bifurcation}}\), | |
| \item \(\rho_B = |L_{\mathrm{left}}-L_{\mathrm{right}}|/W_{\mathrm{total}}\), | |
| \item \(\rho_A = |x_{\mathrm{axis}}-x_{\mathrm{centroid}}|/W_{\mathrm{total}}\). | |
| \end{itemize} | |
| \end{definition} | |
| \begin{definition}[Template Fit Score] | |
| For a glyph feature-ratio vector \(\rho_g\) and template vector \(\rho_T\), | |
| define a simple template distance: | |
| \[ | |
| D(g,T)=\|\rho_g-\rho_T\|. | |
| \] | |
| A lower distance indicates stronger geometric similarity. | |
| \end{definition} | |
| \begin{definition}[Template Separation Margin] | |
| The template separation margin is: | |
| \[ | |
| \Delta_T | |
| = | |
| D(g,T_{\mathrm{best\ control}}) | |
| - | |
| D(g,T_{\mathrm{plasma}}). | |
| \] | |
| A positive \(\Delta_T\) means the plasma template fits better than the best | |
| available non-plasma control. A non-positive \(\Delta_T\) blocks SMPH-A status. | |
| \end{definition} | |
| \begin{definition}[Evidence Package] | |
| An evidence package is the minimal record bundle required for reproducible | |
| review: | |
| \[ | |
| \mathcal{E}_{\mathrm{smph}} | |
| = | |
| \{ | |
| \text{raw source}, | |
| \text{metadata}, | |
| \rho_g, | |
| \rho_T, | |
| D(g,T), | |
| \Delta_T, | |
| \text{score table}, | |
| \text{classification}, | |
| \text{falsification note} | |
| \}. | |
| \] | |
| \end{definition} | |
| \begin{definition}[Catalog Record] | |
| A catalog record is a structured entry that stores one candidate glyph or motif | |
| cluster together with its metadata, feature extraction, template comparison, | |
| scores, controls, classification, downgrade path, and evidence package. | |
| \end{definition} | |
| \begin{definition}[Graded Observable Value] | |
| Each observable may take one of three values: | |
| \[ | |
| 0=\text{absent or unsupported}, | |
| \] | |
| \[ | |
| 0.5=\text{partial / suggestive / incomplete}, | |
| \] | |
| \[ | |
| 1=\text{satisfied}. | |
| \] | |
| A case with any \(0.5\) value may be promising but cannot be classified as | |
| SMPH-A. | |
| \end{definition} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{The Big Question} | |
| \label{sec:big-question} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| SMPH asks: | |
| \begin{center} | |
| Can a subset of globally recurring Squatter Man petroglyphs be better explained | |
| as visual records of extreme plasma morphology than as ordinary human, ritual, | |
| animal, astronomical, diffusion, independent-invention, or pareidolia products? | |
| \end{center} | |
| SMPH v1.3 sharpens the operational question: | |
| \begin{center} | |
| Can quantified glyph feature ratios, stored in reproducible catalog records, | |
| match plasma templates better than versioned negative-control templates under | |
| blind or semi-blind scoring? | |
| \end{center} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Morphology Quantification Layer} | |
| \label{sec:morphology-quantification} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| A candidate glyph should be normalized before comparison. Minimal normalization | |
| requires: | |
| \begin{enumerate} | |
| \item define total height \(H_{\mathrm{total}}\), | |
| \item define total width \(W_{\mathrm{total}}\), | |
| \item identify central vertical axis \(x_{\mathrm{axis}}\), | |
| \item identify maximum width \(W_{\mathrm{max}}\), | |
| \item identify waist width \(W_{\mathrm{waist}}\), | |
| \item identify upper-lobe diameter \(D_{\mathrm{upper}}\), | |
| \item identify side-lobe diameter \(D_{\mathrm{side}}\), if present, | |
| \item identify bifurcation angle \(\theta_{\mathrm{bifurcation}}\), if present, | |
| \item compute axial-balance error, | |
| \item and record missing or ambiguous measurements. | |
| \end{enumerate} | |
| A minimal measurable glyph should produce: | |
| \[ | |
| \rho_{\mathrm{glyph}} | |
| = | |
| \{\rho_H,\rho_U,\rho_W,\rho_O,\rho_L,\rho_B,\rho_A\}. | |
| \] | |
| \begin{remark} | |
| Image quality matters. If erosion, re-carving, perspective distortion, or | |
| missing context prevents reliable measurement, the case must be scored partial | |
| or downgraded. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Template Differentiation Layer} | |
| \label{sec:template-differentiation} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| A candidate glyph should be compared against at least the following template | |
| classes: | |
| \[ | |
| T_{\mathrm{plasma}}, | |
| \quad | |
| T_{\mathrm{human}}, | |
| \quad | |
| T_{\mathrm{ritual}}, | |
| \quad | |
| T_{\mathrm{animal}}, | |
| \quad | |
| T_{\mathrm{astronomical}}, | |
| \quad | |
| T_{\mathrm{geometric}}, | |
| \quad | |
| T_{\mathrm{local}}. | |
| \] | |
| A strong SMPH claim requires: | |
| \[ | |
| D(g,T_{\mathrm{plasma}}) | |
| < | |
| \min | |
| \{ | |
| D(g,T_{\mathrm{human}}), | |
| D(g,T_{\mathrm{ritual}}), | |
| D(g,T_{\mathrm{animal}}), | |
| D(g,T_{\mathrm{astronomical}}), | |
| D(g,T_{\mathrm{geometric}}), | |
| D(g,T_{\mathrm{local}}) | |
| \}. | |
| \] | |
| The corresponding margin is: | |
| \[ | |
| \Delta_T | |
| = | |
| D(g,T_{\mathrm{best\ control}}) | |
| - | |
| D(g,T_{\mathrm{plasma}}). | |
| \] | |
| \begin{remark} | |
| A plasma interpretation does not win because it is visually striking. It wins | |
| only if its quantified template fit exceeds the best alternative-template fit. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Template Separation Interpretation Layer} | |
| \label{sec:template-separation} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| SMPH v1.3 sharpens the interpretation of \(\Delta_T\): | |
| \[ | |
| \Delta_T \leq 0 | |
| \Rightarrow | |
| \text{no plasma-template advantage}. | |
| \] | |
| \[ | |
| \Delta_T > 0 | |
| \Rightarrow | |
| \text{plasma template fits better than the best available control}. | |
| \] | |
| \[ | |
| \Delta_T \gg 0 | |
| \Rightarrow | |
| \text{stronger candidate morphology, still not proof}. | |
| \] | |
| For normalized comparison, a relative margin may also be recorded: | |
| \[ | |
| \widetilde{\Delta}_T | |
| = | |
| \frac{ | |
| D(g,T_{\mathrm{best\ control}}) | |
| - | |
| D(g,T_{\mathrm{plasma}}) | |
| }{ | |
| D(g,T_{\mathrm{best\ control}}) | |
| }. | |
| \] | |
| \begin{remark} | |
| A positive \(\Delta_T\) supports morphology fit only. It does not establish | |
| chronology, causation, or cultural meaning. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Blind-Control Scoring Protocol} | |
| \label{sec:blind-control} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| A research-style SMPH v1.3 analysis should use blind or anonymized scoring. | |
| A minimal blind protocol is: | |
| \begin{enumerate} | |
| \item collect candidate glyph images, | |
| \item collect non-candidate control glyph images, | |
| \item remove explanatory labels and hypothesis language, | |
| \item prepare plasma and non-plasma template sheets, | |
| \item disclose template-library version in the record, | |
| \item ask scorers to rank template similarity without knowing the target | |
| interpretation, | |
| \item record template rankings, | |
| \item compute whether plasma templates outperform controls, | |
| \item and report disagreement rather than suppressing it. | |
| \end{enumerate} | |
| \begin{proposition}[Blind-Control Principle] | |
| A plasma-petroglyph correspondence is stronger when independent scorers, | |
| without being told the hypothesis, rank plasma-template similarity above | |
| negative-control templates. | |
| \end{proposition} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Inter-Rater Reliability Layer} | |
| \label{sec:inter-rater} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| If multiple scorers are available, SMPH should report agreement. | |
| A minimal agreement proxy is: | |
| \[ | |
| R_{\mathrm{agree}} | |
| = | |
| \frac{\text{number of scorers selecting plasma template as best fit}} | |
| {\text{total number of scorers}}. | |
| \] | |
| Interpretation: | |
| \[ | |
| R_{\mathrm{agree}}\approx 1 | |
| \Rightarrow | |
| \text{strong agreement}, | |
| \] | |
| \[ | |
| R_{\mathrm{agree}}\approx 0.5 | |
| \Rightarrow | |
| \text{ambiguous agreement}, | |
| \] | |
| \[ | |
| R_{\mathrm{agree}}\approx 0 | |
| \Rightarrow | |
| \text{plasma-template failure}. | |
| \] | |
| \begin{remark} | |
| Inter-rater agreement does not prove causation. It only tests whether the | |
| morphology classification is reproducible rather than personal. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Data-Catalog Protocol Layer} | |
| \label{sec:data-catalog} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| SMPH v1.3 introduces a minimal catalog grammar for candidate records. | |
| A catalog record should include: | |
| \begin{center} | |
| \begin{longtable}{>{\raggedright\arraybackslash}p{0.30\textwidth} | |
| >{\raggedright\arraybackslash}p{0.60\textwidth}} | |
| \toprule | |
| \textbf{Field} & \textbf{Meaning} \\ | |
| \midrule | |
| record\_id & Unique identifier for the candidate glyph or motif cluster. \\ | |
| site\_id & Site identifier, if known. \\ | |
| location & Geographic region, site name, or approximate location. \\ | |
| image\_source & Raw image path, URL, citation, or archive reference. \\ | |
| dating\_range & Proposed dating range and uncertainty. \\ | |
| culture\_context & Local archaeological or cultural context. \\ | |
| motif\_type & Squatter Man, anthropomorph, animal, astronomical, etc. \\ | |
| template\_version & Version of the template library used. \\ | |
| rho\_glyph & Measured feature-ratio vector. \\ | |
| template\_distances & Distances to plasma and control templates. \\ | |
| delta\_T & Template separation margin. \\ | |
| blind\_protocol & Whether blind or anonymized scoring was used. \\ | |
| rater\_results & Scorer rankings or agreement statistics. \\ | |
| observables & Graded SMPH observables. \\ | |
| score & SMPH v1.3 score. \\ | |
| classification & SMPH-A/B/C/D/E outcome. \\ | |
| downgrade\_path & Reason for downgrade, if applicable. \\ | |
| falsification\_condition & Condition that would weaken or reject the claim. \\ | |
| notes & Limitations, missing data, or interpretive cautions. \\ | |
| \bottomrule | |
| \end{longtable} | |
| \end{center} | |
| \begin{remark} | |
| A catalog record is not proof. It is the minimal unit of auditable SMPH | |
| analysis. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Evidence Package Protocol} | |
| \label{sec:evidence-package} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| A strong candidate should preserve an evidence package: | |
| \[ | |
| \mathcal{E}_{\mathrm{smph}} | |
| = | |
| \{ | |
| I_{\mathrm{raw}}, | |
| I_{\mathrm{overlay}}, | |
| \rho_g, | |
| \mathcal{T}_{\mathrm{version}}, | |
| D(g,T), | |
| \Delta_T, | |
| S_{\mathrm{blind}}, | |
| R_{\mathrm{agree}}, | |
| \mathcal{O}_{\mathrm{smph}}, | |
| C_{\mathrm{class}}, | |
| F_{\mathrm{fail}} | |
| \}. | |
| \] | |
| where: | |
| \begin{itemize} | |
| \item \(I_{\mathrm{raw}}\) = raw image reference, | |
| \item \(I_{\mathrm{overlay}}\) = measurement overlay or measurement table, | |
| \item \(\rho_g\) = glyph feature-ratio vector, | |
| \item \(\mathcal{T}_{\mathrm{version}}\) = template-library version, | |
| \item \(D(g,T)\) = template distances, | |
| \item \(\Delta_T\) = template separation margin, | |
| \item \(S_{\mathrm{blind}}\) = blind-scoring output, | |
| \item \(R_{\mathrm{agree}}\) = inter-rater agreement, | |
| \item \(\mathcal{O}_{\mathrm{smph}}\) = observable score vector, | |
| \item \(C_{\mathrm{class}}\) = SMPH classification, | |
| \item \(F_{\mathrm{fail}}\) = falsification condition. | |
| \end{itemize} | |
| \begin{proposition}[Reproducibility Principle] | |
| A candidate SMPH claim becomes stronger when another reviewer can reconstruct | |
| the feature extraction, template comparison, scoring decision, and downgrade | |
| path from the preserved evidence package. | |
| \end{proposition} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Alternative Explanation Layer} | |
| \label{sec:alternatives} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| SMPH must be tested against the following alternatives: | |
| \begin{enumerate} | |
| \item ordinary human stick-figure stylization, | |
| \item ritual or shamanic iconography, | |
| \item animal or insect representations, | |
| \item mythological beings or masks, | |
| \item astronomical symbols, | |
| \item cultural diffusion, | |
| \item independent invention, | |
| \item pareidolia, | |
| \item sampling bias, | |
| \item and later re-carving / mixed chronology. | |
| \end{enumerate} | |
| \begin{remark} | |
| A plasma interpretation is not stronger because it is more dramatic. It is | |
| stronger only if it scores better than these alternatives. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Proxy Chronology Layer} | |
| \label{sec:proxy-chronology} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| Cosmogenic isotope events may provide comparison points for extreme solar or | |
| cosmic-ray events. However: | |
| \[ | |
| \text{isotope spike} | |
| \not\Rightarrow | |
| \text{petroglyph cause}. | |
| \] | |
| A valid chronology claim must show: | |
| \begin{enumerate} | |
| \item credible petroglyph dating, | |
| \item independent proxy timing, | |
| \item possible temporal overlap, | |
| \item regional visibility plausibility, | |
| \item and absence of stronger local explanations. | |
| \end{enumerate} | |
| Miyake-event dates may be useful as reference points, but they do not directly | |
| validate Squatter Man interpretation. | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Codex $\Delta\Phi$ Interpretation Boundary} | |
| \label{sec:codex-boundary} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| The user-originated Codex extension states that similar geometries may appear | |
| across atoms, plasma, solar structures, cymatics, and computational symmetry. | |
| SMPH v1.3 preserves this as an interpretive extension: | |
| \[ | |
| \text{cross-scale resemblance} | |
| \not\Rightarrow | |
| \text{shared mechanism}. | |
| \] | |
| A future Codex $\Delta\Phi$ resonance document may test that broader claim | |
| separately. It is not the evidentiary core of SMPH v1.3. | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Outcome Classification Layer} | |
| \label{sec:classification} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \begin{definition}[SMPH-A: Strong Plasma Correspondence] | |
| A case is SMPH-A when petroglyph morphology, plasma-template fit, quantified | |
| feature ratios, site context, credible dating, negative controls, blind-control | |
| or equivalent comparison, inter-rater support, evidence package, catalog record, | |
| and falsification surfaces all support the plasma correspondence over | |
| alternatives. SMPH-A requires all core observables to score \(1\). | |
| \end{definition} | |
| \begin{definition}[SMPH-B: Weak / Partial Plasma Correspondence] | |
| A case is SMPH-B when morphology resembles a plasma template but chronology, | |
| context, blind scoring, measurement quality, catalog evidence, or negative | |
| controls are incomplete. Any \(0.5\) score in a core observable forces downgrade | |
| from SMPH-A to SMPH-B or lower. | |
| \end{definition} | |
| \begin{definition}[SMPH-C: Alternative Cultural / Archaeological Explanation] | |
| A case is SMPH-C when human, ritual, animal, astronomical, diffusion, or local | |
| cultural interpretation better explains the motif. | |
| \end{definition} | |
| \begin{definition}[SMPH-D: Null / Ambiguous Case] | |
| A case is SMPH-D when evidence is insufficient to select any interpretation. | |
| \end{definition} | |
| \begin{definition}[SMPH-E: Rejected Plasma Claim] | |
| A case is SMPH-E when resemblance is post-hoc, cherry-picked, chronologically | |
| unsupported, unmeasured, uncataloged, or based on Codex interpretation without | |
| empirical support. | |
| \end{definition} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Scoring Surface} | |
| \label{sec:scoring} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| SMPH v1.3 extends the v1.2 observable set: | |
| \[ | |
| \mathcal{O}^{\mathrm{smph}}_t | |
| = | |
| \{M_t,C_t,P_t,A_t,N_t,F_t,Q_t,B_t,I_t,R_t,L_t,E_t\}. | |
| \] | |
| \begin{center} | |
| \begin{longtable}{>{\raggedright\arraybackslash}p{0.25\textwidth} | |
| >{\centering\arraybackslash}p{0.16\textwidth} | |
| >{\raggedright\arraybackslash}p{0.49\textwidth}} | |
| \toprule | |
| \textbf{Observable} & \textbf{Status (0 / 0.5 / 1)} & \textbf{Evidence} \\ | |
| \midrule | |
| \(M_t\) Measured Morphology & & \\ | |
| \(C_t\) Credible Chronology & & \\ | |
| \(P_t\) Plasma Template Fit & & \\ | |
| \(A_t\) Archaeological Context & & \\ | |
| \(N_t\) Negative Controls & & \\ | |
| \(F_t\) Falsification Condition & & \\ | |
| \(Q_t\) Quantified Feature Ratios & & \\ | |
| \(B_t\) Blind-Control Scoring & & \\ | |
| \(I_t\) Inter-Rater Reliability & & \\ | |
| \(R_t\) Raw Source / Reproducibility & & \\ | |
| \(L_t\) Template-Library Version & & \\ | |
| \(E_t\) Evidence Package & & \\ | |
| \bottomrule | |
| \end{longtable} | |
| \end{center} | |
| \[ | |
| \mathrm{SMPHScore}_{v1.3} | |
| = | |
| \frac{ | |
| M_t+C_t+P_t+A_t+N_t+F_t+Q_t+B_t+I_t+R_t+L_t+E_t | |
| }{12}. | |
| \] | |
| \begin{remark}[Graded Scoring Clarification] | |
| SMPH v1.3 permits intermediate observable values: | |
| \[ | |
| 0=\text{absent or unsupported}, | |
| \qquad | |
| 0.5=\text{partial / suggestive / incomplete}, | |
| \qquad | |
| 1=\text{satisfied}. | |
| \] | |
| A strong SMPH-A claim requires all core observables to score \(1\). Intermediate | |
| scores are admissible only as downgrade indicators. | |
| \end{remark} | |
| \begin{remark}[Early-Stage Exception] | |
| If a study has only one scorer, \(I_t\) may be marked \(0.5\) rather than \(0\) | |
| when the limitation is explicitly disclosed. Such a case cannot reach SMPH-A. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Validation Layer} | |
| \label{sec:validation} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| A valid SMPH v1.3 claim must identify: | |
| \begin{enumerate} | |
| \item the specific petroglyph site or corpus, | |
| \item image/documentation quality, | |
| \item raw image reference, | |
| \item dating range and uncertainty, | |
| \item cultural/contextual interpretation, | |
| \item extracted feature vector, | |
| \item normalized feature ratios, | |
| \item plasma-template comparison, | |
| \item non-plasma control-template comparison, | |
| \item template-library version, | |
| \item template separation margin \(\Delta_T\), | |
| \item blind-control scoring procedure, if available, | |
| \item inter-rater agreement, if available, | |
| \item proxy chronology comparison, if used, | |
| \item catalog record fields, | |
| \item evidence package, | |
| \item outcome class, | |
| \item downgrade path, | |
| \item and falsification condition. | |
| \end{enumerate} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Falsification Surface} | |
| \label{sec:falsification} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| SMPH is weakened or falsified in a candidate case if: | |
| \begin{itemize} | |
| \item human or local ritual templates outperform plasma templates, | |
| \item \(D(g,T_{\mathrm{plasma}})\geq D(g,T_{\mathrm{best\ control}})\), | |
| \item the template separation margin \(\Delta_T\leq 0\), | |
| \item motif dating is incompatible with proposed event timing, | |
| \item only cherry-picked glyphs match the plasma template, | |
| \item full motif clusters do not preserve the predicted morphology sequence, | |
| \item side-orb / toroid / waist / bifurcation ratios do not exceed chance, | |
| \item plasma-template matches fail against blind classification, | |
| \item independent sites do not reproduce the feature vector, | |
| \item inter-rater agreement is low or inconsistent, | |
| \item raw image references or measurements cannot be checked, | |
| \item template versions are undisclosed, | |
| \item evidence package is missing for a strong claim, | |
| \item or Codex cross-scale interpretation is used as evidence. | |
| \end{itemize} | |
| A compact falsification condition is: | |
| \[ | |
| D(g,T_{\mathrm{plasma}}) | |
| \geq | |
| D(g,T_{\mathrm{best\ control}}) | |
| \Rightarrow | |
| \text{no strong SMPH claim}. | |
| \] | |
| A compact downgrade condition is: | |
| \[ | |
| \exists x\in | |
| \{M_t,C_t,P_t,A_t,N_t,F_t,Q_t,B_t,I_t,R_t,L_t,E_t\}:x<1 | |
| \Rightarrow | |
| \text{no SMPH-A classification}. | |
| \] | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Upgrade and Downgrade Thresholds} | |
| \label{sec:thresholds} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| A candidate may be considered for SMPH-A only if: | |
| \[ | |
| \mathrm{SMPHScore}_{v1.3}=1, | |
| \] | |
| \[ | |
| \Delta_T>0, | |
| \] | |
| and all documentation, chronology, context, negative controls, evidence-package, | |
| template-library, reproducibility, and falsification conditions are complete. | |
| A candidate should be classified as SMPH-B if: | |
| \[ | |
| \mathrm{SMPHScore}_{v1.3}<1 | |
| \] | |
| but plasma morphology remains suggestive. | |
| A candidate should be classified as SMPH-C if a non-plasma explanation | |
| outperforms the plasma interpretation. | |
| A candidate should be classified as SMPH-D if evidence is insufficient. | |
| A candidate should be classified as SMPH-E if the claim is post-hoc, | |
| unmeasured, uncataloged, cherry-picked, or depends on Codex interpretation | |
| rather than source evidence. | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Rejection Surface} | |
| \label{sec:rejection} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| A proposed SMPH refinement should be rejected if it: | |
| \begin{itemize} | |
| \item promotes hypothesis to proof without validation, | |
| \item removes archaeological alternatives, | |
| \item removes negative controls, | |
| \item ignores dating uncertainty, | |
| \item treats all Squatter Man motifs as plasma-derived, | |
| \item treats visual resemblance as causation, | |
| \item treats quantified resemblance as causation, | |
| \item treats catalog inclusion as validation, | |
| \item uses isotope events as direct proof of petroglyph meaning, | |
| \item replaces site evidence with Codex resonance language, | |
| \item treats partial scores as proof, | |
| \item removes blind-control discipline, | |
| \item removes measurement-ratio discipline, | |
| \item removes template-library versioning, | |
| \item removes evidence-package requirements, | |
| \item or dismisses mainstream archaeological interpretation without scoring. | |
| \end{itemize} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Repository Record Grammar} | |
| \label{sec:repository-record-grammar} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| A repository-ready SMPH project should organize records so future reviewers can | |
| inspect raw evidence, measurements, templates, controls, and classifications. | |
| A minimal structure is: | |
| \begin{verbatim} | |
| smph_catalog/ | |
| README.md | |
| templates/ | |
| template_library_manifest.json | |
| plasma_templates.json | |
| control_templates.json | |
| records/ | |
| smph_record_<record_id>.json | |
| images/ | |
| raw/ | |
| overlays/ | |
| scoring/ | |
| blind_scoring_sessions/ | |
| inter_rater_results/ | |
| reports/ | |
| candidate_summaries/ | |
| rejected_cases/ | |
| negative_controls/ | |
| \end{verbatim} | |
| \begin{remark} | |
| The repository grammar is optional for early notes, but mandatory in spirit for | |
| research-style claims. Strong claims require reproducible records. | |
| \end{remark} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Traceability Matrix} | |
| \label{sec:traceability} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \begin{longtable}{>{\raggedright\arraybackslash}p{0.30\textwidth} | |
| >{\raggedright\arraybackslash}p{0.64\textwidth}} | |
| \toprule | |
| \textbf{Layer} & \textbf{Function in SMPH v1.3} \\ | |
| \midrule | |
| Peratt Source Layer & | |
| Provides the primary published plasma-petroglyph comparison. \\ | |
| Rock-Art Context Layer & | |
| Preserves archaeological and cultural interpretation. \\ | |
| Morphology Layer & | |
| Turns resemblance into measurable feature extraction. \\ | |
| Morphology Quantification Layer & | |
| Defines normalized ratios for reproducible comparison. \\ | |
| Reference Template Library & | |
| Version-controls plasma and non-plasma comparison templates. \\ | |
| Template Differentiation Layer & | |
| Compares plasma fit against human, ritual, animal, astronomical, geometric, | |
| and local controls. \\ | |
| Template Separation Layer & | |
| Interprets \(\Delta_T\) as morphology advantage, not proof. \\ | |
| Blind-Control Layer & | |
| Reduces expectation bias during scoring. \\ | |
| Inter-Rater Reliability Layer & | |
| Tests whether classification is reproducible across scorers. \\ | |
| Data-Catalog Layer & | |
| Stores candidate cases as auditable records. \\ | |
| Evidence Package Layer & | |
| Preserves raw image references, overlays, distances, scores, and classification | |
| logic. \\ | |
| Proxy Chronology Layer & | |
| Uses isotope and sky-event evidence only as timing comparison. \\ | |
| Alternative Explanation Layer & | |
| Prevents premature plasma interpretation. \\ | |
| Negative-Control Layer & | |
| Requires comparison against non-plasma motif classes. \\ | |
| Graded Scoring Layer & | |
| Allows partial evidence while enforcing downgrade from strong status. \\ | |
| Codex Interpretation Boundary & | |
| Keeps $\Delta\Phi$ resonance language separate from evidence. \\ | |
| Falsification Layer & | |
| Defines conditions under which plasma correspondence fails. \\ | |
| \bottomrule | |
| \end{longtable} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Concluding Compression} | |
| \label{sec:conclusion} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| SMPH v1.3 introduces dataset infrastructure into the Squatter Man | |
| plasma-petroglyph hypothesis: | |
| \[ | |
| \boxed{ | |
| \text{Squatter Man plasma correspondence is admissible only as a measured,} | |
| \atop | |
| \text{source-bounded, negative-control-tested, reproducibly cataloged} | |
| \atop | |
| \text{candidate mapping.} | |
| } | |
| \] | |
| The mature v1.3 statement is: | |
| \[ | |
| \boxed{ | |
| \text{resemblance becomes evidence only when quantified morphology, template} | |
| \atop | |
| \text{versioning, chronology, context, blind controls, alternatives, catalog} | |
| \atop | |
| \text{records, and falsification are satisfied.} | |
| } | |
| \] | |
| The dataset statement is: | |
| \[ | |
| \boxed{ | |
| \text{a strong candidate requires a raw source, measurement record,} | |
| \atop | |
| \text{template library, evidence package, and reproducible classification.} | |
| } | |
| \] | |
| The Codex statement is: | |
| \[ | |
| \boxed{ | |
| \text{cross-scale resonance may inspire the hypothesis, but it cannot replace} | |
| \atop | |
| \text{source fidelity, archaeological context, reproducibility, or empirical} | |
| \atop | |
| \text{validation.} | |
| } | |
| \] | |
| Thus, SMPH v1.3 preserves the generative insight while turning the framework | |
| toward reproducible, dataset-ready research discipline. | |
| \appendix | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Appendix A — Minimal SMPH v1.3 Candidate Checklist} | |
| \label{app:checklist} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| Before claiming plasma correspondence, ask: | |
| \begin{enumerate} | |
| \item What is the exact site or corpus? | |
| \item What is the raw image source? | |
| \item What is the dating range? | |
| \item What is the cultural context? | |
| \item What is the image quality? | |
| \item What is the feature vector? | |
| \item What normalized ratios were measured? | |
| \item What plasma template is being compared? | |
| \item What non-plasma templates are being compared? | |
| \item What template-library version was used? | |
| \item Does plasma fit outperform controls? | |
| \item What is the template separation margin \(\Delta_T\)? | |
| \item Was blind scoring used? | |
| \item Were multiple scorers used? | |
| \item What is the inter-rater agreement? | |
| \item Is proxy chronology used cautiously? | |
| \item Is there a complete catalog record? | |
| \item Is there a complete evidence package? | |
| \item What is the SMPH v1.3 score? | |
| \item Which observables are partial? | |
| \item What is the outcome class? | |
| \item What would falsify the claim? | |
| \end{enumerate} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Appendix B — Minimal AI Collaboration Pseudocode} | |
| \label{app:ai-pseudocode} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \begin{verbatim} | |
| Input: petroglyph corpus G, proposed plasma interpretation P | |
| Read governing artifact: SMPH v1.3 | |
| Preserve hypothesis status and all non-claim locks | |
| Extract site metadata: | |
| record_id | |
| location | |
| dating range | |
| cultural context | |
| documentation quality | |
| raw image reference | |
| Extract morphology: | |
| total height | |
| total width | |
| central axis | |
| upper lobe diameter | |
| waist width | |
| maximum width | |
| side-lobe diameter | |
| bifurcation angle | |
| axial balance error | |
| Compute feature-ratio vector rho_glyph | |
| Load template library: | |
| template version | |
| plasma template | |
| human figure template | |
| animal/insect template | |
| ritual/mask template | |
| astronomical symbol template | |
| random/geometric motif template | |
| local cultural template if available | |
| Compute distances: | |
| D_plasma | |
| D_best_control | |
| Delta_T = D_best_control - D_plasma | |
| relative_Delta_T if useful | |
| If possible: | |
| anonymize images and templates | |
| run blind scoring | |
| record scorer choices | |
| compute R_agree | |
| Build evidence package: | |
| raw image reference | |
| measurement overlay or table | |
| rho_glyph | |
| template version | |
| template distances | |
| Delta_T | |
| blind scoring output | |
| inter-rater agreement | |
| observable score vector | |
| classification | |
| falsification condition | |
| Score observables using {0, 0.5, 1}: | |
| M = measured morphology? | |
| C = credible chronology? | |
| P = plasma-template fit? | |
| A = archaeological context? | |
| N = negative controls? | |
| F = falsification condition? | |
| Q = quantified feature ratios? | |
| B = blind-control scoring? | |
| I = inter-rater reliability? | |
| R = raw source / reproducibility? | |
| L = template-library version? | |
| E = evidence package? | |
| Compute SMPHScore_v1_3 = | |
| (M+C+P+A+N+F+Q+B+I+R+L+E)/12 | |
| If all observables == 1 and Delta_T > 0: | |
| classify SMPH-A | |
| Else if plasma fit exists but any observable is 0.5: | |
| classify SMPH-B | |
| Else if alternative explanation wins: | |
| classify SMPH-C | |
| Else if evidence insufficient: | |
| classify SMPH-D | |
| Else: | |
| classify SMPH-E | |
| Store catalog record | |
| Reject proof, universal, metaphysical, or anti-archaeological claims | |
| Reject any attempt to treat 0.5 partial scores as proof | |
| Reject any attempt to treat catalog inclusion as validation | |
| Append traceability note for any refinement | |
| \end{verbatim} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Appendix C — Minimal Catalog Record JSON Skeleton} | |
| \label{app:json-skeleton} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \begin{verbatim} | |
| { | |
| "record_id": "SMPH-0001", | |
| "site_id": "", | |
| "location": "", | |
| "image_source": "", | |
| "dating_range": { | |
| "start": "", | |
| "end": "", | |
| "method": "", | |
| "uncertainty_note": "" | |
| }, | |
| "cultural_context": "", | |
| "motif_type": "", | |
| "template_library_version": "smph_templates_v1_0", | |
| "feature_vector": { | |
| "rho_H": null, | |
| "rho_U": null, | |
| "rho_W": null, | |
| "rho_O": null, | |
| "rho_L": null, | |
| "rho_B": null, | |
| "rho_A": null | |
| }, | |
| "template_distances": { | |
| "plasma": null, | |
| "human": null, | |
| "ritual": null, | |
| "animal": null, | |
| "astronomical": null, | |
| "geometric": null, | |
| "local": null | |
| }, | |
| "delta_T": null, | |
| "relative_delta_T": null, | |
| "blind_protocol": { | |
| "used": false, | |
| "description": "", | |
| "num_scorers": 0 | |
| }, | |
| "inter_rater": { | |
| "R_agree": null, | |
| "notes": "" | |
| }, | |
| "observables": { | |
| "M_t": null, | |
| "C_t": null, | |
| "P_t": null, | |
| "A_t": null, | |
| "N_t": null, | |
| "F_t": null, | |
| "Q_t": null, | |
| "B_t": null, | |
| "I_t": null, | |
| "R_t": null, | |
| "L_t": null, | |
| "E_t": null | |
| }, | |
| "score": null, | |
| "classification": "", | |
| "downgrade_path": "", | |
| "falsification_condition": "", | |
| "notes": "" | |
| } | |
| \end{verbatim} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Appendix D — Source References} | |
| \label{app:references} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \begin{thebibliography}{99} | |
| \bibitem{Peratt2003} | |
| A.~L.~Peratt, | |
| ``Characteristics for the Occurrence of a High-Current, Z-Pinch Aurora as | |
| Recorded in Antiquity,'' | |
| \emph{IEEE Transactions on Plasma Science}, | |
| Vol.~31, No.~6, 2003. | |
| DOI: 10.1109/TPS.2003.820956. | |
| \bibitem{Peratt2007} | |
| A.~L.~Peratt, J.~McGovern, A.~H.~Qoeyawayma, | |
| M.~A.~Van der Sluijs, and M.~G.~Peratt, | |
| ``Characteristics for the occurrence of a high-current Z-pinch aurora as | |
| recorded in antiquity part II: Directionality and source,'' | |
| \emph{IEEE Transactions on Plasma Science}, | |
| Vol.~35, No.~4, pp.~778--807, 2007. | |
| DOI: 10.1109/TPS.2007.902630. | |
| \bibitem{Miyake2012} | |
| F.~Miyake, K.~Nagaya, K.~Masuda, and T.~Nakamura, | |
| ``A signature of cosmic-ray increase in AD 774--775 from tree rings in Japan,'' | |
| \emph{Nature}, 486, 240--242, 2012. | |
| \bibitem{Miyake2013} | |
| F.~Miyake, K.~Masuda, and T.~Nakamura, | |
| ``Another rapid event in the carbon-14 content of tree rings,'' | |
| \emph{Nature Communications}, 4, 1748, 2013. | |
| \bibitem{Panyushkina2024} | |
| I.~P.~Panyushkina et al., | |
| ``The timing of the ca-660 BCE Miyake solar-proton event constrained to | |
| 664--663 BCE,'' | |
| \emph{Communications Earth \& Environment}, 2024. | |
| \bibitem{GordilloVazquez2021} | |
| F.~J.~Gordillo-Vázquez et al., | |
| Review literature on transient luminous events and their atmospheric chemistry, | |
| \emph{Atmospheric Research}, 2021. | |
| \bibitem{Blanc2010} | |
| E.~Blanc et al., | |
| ``Space observations of transient luminous events and associated emissions,'' | |
| \emph{Comptes Rendus Physique}, 2010. | |
| \end{thebibliography} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \section{Appendix E — Demonstrative Case Study Reclassification Under v1.3} | |
| \label{app:case-study} | |
| %────────────────────────────────────────────────────────────────────────────── | |
| \textbf{Status: Demonstrative only.} | |
| The v1.1 and v1.2 demonstrative case remains classified as partial. Under | |
| v1.3, it requires additional catalog and evidence-package data before any | |
| upgrade can be considered. | |
| \subsection*{E.1 v1.3 Reclassification} | |
| The originating comparison image remains visually suggestive, but the following | |
| v1.3 observables remain incomplete unless additional records are supplied: | |
| \[ | |
| Q_t=\text{partial}, | |
| \qquad | |
| B_t=\text{partial or absent}, | |
| \qquad | |
| I_t=\text{absent unless multiple scorers are added}, | |
| \] | |
| \[ | |
| R_t=\text{partial if raw source is not archived}, | |
| \qquad | |
| L_t=\text{partial if no template-library version is declared}, | |
| \qquad | |
| E_t=\text{partial if no evidence package exists}. | |
| \] | |
| Thus, even if morphology and plasma-template resemblance remain strong, the | |
| case cannot exceed SMPH-B without: | |
| \begin{enumerate} | |
| \item normalized feature-ratio extraction, | |
| \item template-library version declaration, | |
| \item blind-control comparison, | |
| \item inter-rater agreement, | |
| \item raw image reference and measurement overlay, | |
| \item complete catalog record, | |
| \item site-specific dating, | |
| \item and full archaeological context. | |
| \end{enumerate} | |
| \subsection*{E.2 v1.3 Downgrade Statement} | |
| \[ | |
| \boxed{ | |
| \text{strong visual morphology} | |
| + | |
| \text{missing catalog infrastructure} | |
| + | |
| \text{missing blind controls} | |
| + | |
| \text{missing inter-rater reliability} | |
| \Rightarrow | |
| \mathrm{SMPH\text{-}B} | |
| } | |
| \] | |
| The case remains useful as a demonstration of the protocol but does not serve | |
| as proof of the hypothesis. | |
| \end{document} |
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