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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…
% ████████████████████████████████████████████████████████████████████████████████
%
% 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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