Separate spectral geometry from temporal order with controlled references

AI_CONTEXT.md

@@ -145,3 +145,10 @@ Public repository edition: `1.0.0` (2026-08-20). Canonical repository name: `GoG
 ## Primary-source reference layer
 
 Use `REFERENCES.md` and `metadata/references.json` for foundational and conceptual references. Use `docs/CONCEPTUAL_NEIGHBORS.md` and `metadata/conceptual_neighbors.json` for the ten-paper literature bridge connecting entanglement-spectrum dynamics, multi-Rényi evolution, reduced-density-matrix chaos diagnostics, majorization, and spectral universality.
+
+
+## Geometry-versus-chronology control study
+
+The supplementary study in `docs/GEOMETRY_VS_CHRONOLOGY.md`, with numerical records in `metadata/geometry_chronology_controls.json`, separates instantaneous metric agreement from temporal organization. Level PCA is invariant under joint time reordering. Four specified independent fixed-(dimension, largest-eigenvalue) spectral references produce approximately 97.50% to 97.89% boundary-height PC1, exceeding the observed 90.26%. These are constructed reference laws, not Haar ensembles or uniform feasible-polytope samples. The empirical largest-eigenvalue path is retained; no causal partition of variance into geometry and dynamics is claimed.
+
+Observed paths are smoother and their adjacent raw entanglement increments compete more frequently than joint reorderings. Increment PC1 is not unusually high relative to those references, and relational-geometry effects vary by control and system size. A large common mode alone is therefore not a signature of dynamical universality. Majorization constrains any spectrum pair, irrespective of chronology. The control study is later repository evidence, not a result established in the 2024 paper; the frozen release values remain historical measurements rather than proof of temporal invariance. The archived original datasets and figures are not replaced.

CHANGELOG.md

@@ -1,5 +1,11 @@
 # Changelog
 
+## Unreleased - geometry-versus-chronology controls
+
+- Added joint, fixed-endpoint, within-window, and late-time chronology controls, plus four explicit dimension/largest-eigenvalue-matched spectrum references.
+- Distinguished instantaneous common-mode agreement from temporal smoothness and local metric competition; high PCA alone is not evidence of dynamical universality.
+- Added reproducible source, draw-level records, analytical permutation expectations, and independent sampler tests without replacing released data or figures.
+
 ## Unreleased - numerical foundations
 
 - Preserve the supplied largest eigenvalue and every positive extremizer remainder; share the canonical reciprocal convention with exact support bounds.

Makefile

@@ -1,4 +1,4 @@
-.PHONY: numerical-check help install release-env-check peer-review-check quick test metric-robustness xxz-convergence public-context public-figures public-validate public rebuild-included full clean-outputs
+.PHONY: geometry-chronology-controls numerical-check help install release-env-check peer-review-check quick test metric-robustness xxz-convergence public-context public-figures public-validate public rebuild-included full clean-outputs
 
 help:
 	@printf '%s\n' \
@@ -7,6 +7,7 @@ help:
 	  'make peer-review-check Verify the frozen peer-review release gates' \
 	  'make quick            Regenerate all n=10 trajectories and run tests' \
 	  'make test             Run scientific and independent numerical-accuracy tests' \
+	  'make geometry-chronology-controls Run joint shuffles and fixed-(d,p) references' \
 	  'make numerical-check  Audit fixed-p bounds and stable/release-v1 n=10 extraction' \
 	  'make metric-robustness Recompute the central robustness analysis' \
 	  'make xxz-convergence  Recompute the n=10,12,14 XXZ product-formula audit' \
@@ -60,3 +61,6 @@ clean-outputs:
 
 numerical-check:
 	python analysis/verify_numerical_foundations.py
+
+geometry-chronology-controls:
+	python analysis/run_geometry_chronology_controls.py

README.md

@@ -116,6 +116,10 @@ The preferred technical terms are **metric-robust trajectory class** and **proje
 
 ![Model-centroid common-mode trajectories and the limits of held-out fingerprint classification](figures/public/figure_05_model_morphology_and_limits.png)
 
+## Geometry versus temporal order
+
+The [chronology and matched-spectrum controls](docs/GEOMETRY_VS_CHRONOLOGY.md) distinguish the shared instantaneous metric component from order-sensitive behavior. Joint shuffling preserves the 90.26% level common mode exactly, and the four specified static matched-spectrum references give still higher values. The observed chronological paths are instead smoother and exhibit more local raw-metric competition than reordered versions of the same data. These controls qualify the interpretation of the common mode; they do not establish a formal invariant or universal chaos fingerprint. [Machine-readable results](metadata/geometry_chronology_controls.json) and [draw-level records](data/geometry_chronology_controls.zip) accompany the reproducible study. The frozen release datasets and figures are unchanged.
+
 ## Conceptual literature bridge
 
 This project sits at the intersection of entanglement-spectrum dynamics, reduced-density-matrix diagnostics of quantum chaos, multi-Rényi entanglement evolution, majorization, and the limits of spectral universality. The [conceptual-neighbor map](docs/CONCEPTUAL_NEIGHBORS.md) identifies ten especially close papers and states both the shared idea and the important scope difference for each. A machine-readable version is provided in [`metadata/conceptual_neighbors.json`](metadata/conceptual_neighbors.json).