black-hole-entropy-spiral

對數螺旋偵測於合成黑洞熵矩陣 (كشف اللولب اللوغاريتمي في مصفوفات إنتروبيا الثقب الأسود)

Logarithmic Spiral Detection in Synthetic Black-Hole Entropy Matrices — a multi-language computational research framework.

Authors: Ahmad Ali Parr, Jessica L. Williams (SNAPKITTYWEST)

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Abstract

A computational experiment testing whether a mathematically defined black-hole entropy matrix (Bekenstein-Hawking, Kerr geometry) contains statistically detectable logarithmic spiral structure — r(θ) = a exp(b θ).

All data is synthetic. No observational astrophysical input is used. Any detected spiral is a property of the mathematical representation, not evidence of physical structure inside an astrophysical black hole.

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Repository Structure (25 files, 1,224 lines)

black-hole-entropy-spiral/
├── matlab/                          MATLAB numerical core
│   ├── entropy_model.m              Bekenstein-Hawking + Kerr entropy grid
│   ├── spiral_detector.m            WLS regression + 100-perm nulls + bootstrap CIs + SPIRAL_SCORE
│   ├── null_models.m                NULL-1..NULL-7 synthetic null matrices
│   ├── spectral_analysis.m          Radial/angular FFT PSD + autocorrelation
│   └── run_experiment.m             10-case harness + CSV export
├── simulink/                        Pipeline architecture
│   ├── entropy_spiral_pipeline.md   Block pipeline specification
│   └── block_specification.md       Per-block I/O specification
├── sas/                             Independent statistical verification
│   ├── process_signal_residuals.sas Rolling residual + energy statistics
│   ├── detect_spiral_structure.sas  Independent PROC REG spiral fit
│   └── statistical_validation.sas   Cross-language MATLAB↔SAS comparison
├── quipper/                         Quantum circuit (Haskell-embedded)
│   ├── entropy_spiral.qp            Register encoding circuit
│   ├── spiral_oracle.qp             H0/H1 oracle
│   └── measurement.qp               Measurement aggregation
├── silq/                            Quantum circuit (garbage-aware)
│   ├── entropy_spiral.slq           Register encoding
│   ├── spiral_predicate.slq         Spiral predicate + hypothesis test
│   └── measurement.slq              Measurement loop
├── data/                            Canonical data
│   ├── schema.csv                   12-field cross-language schema
│   └── test_vectors.csv             Placeholder until run
├── docs/                            Scientific documentation
│   ├── scientific_basis.md          Physics, math, statistical framework
│   ├── assumptions.md               Data, physical, statistical, quantum assumptions
│   └── reproducibility.md           Seeds, schema, manifest, environment
├── experiments/
│   └── experiment_manifest.json     EXP-LOG-SPIRAL-001 metadata
└── validation/
    ├── null_model_spec.md           NULL-1..NULL-7 specification
    └── cross_language_validation.md MATLAB vs SAS comparison protocol

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Languages and Roles

Language	Role	角色 (الدور)
MATLAB	Primary numerical engine — entropy grids, spiral regression, null models, spectral analysis	主計算引擎 (المحرك الحسابي الرئيسي)
Simulink	Pipeline architecture specification	管線架構規格 (مواصفات خط الأنابيب)
SAS	Independent statistical verification — PROC REG spiral fit, cross-language validation	獨立統計驗證 (التحقق الإحصائي المستقل)
Quipper	Quantum register encoding + H0/H1 oracle	量子寄存器編碼 (ترميز السجل الكمومي)
Silq	Garbage-aware quantum encoding + spiral predicate	垃圾感知量子編碼 (الترميز الكمومي الواعي للمخلفات)

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Quick Start

% MATLAB — run full experiment
run_experiment()
% → writes data/test_vectors.csv + experiment manifest

/* SAS — independent verification */
%include 'sas/statistical_validation.sas';

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Spiral Score

SPIRAL_SCORE = (R² + (1 - fpProb) + betaStab_normalized) / 3

Component	Meaning	意義 (المعنى)
R²	Weighted regression fit quality	加權回歸擬合品質 (جودة ملاءمة الانحدار المرجح)
1 - fpProb	Separation from permutation null distribution	與排列零分佈之距離 (الفصل عن التوزيع الصفري)
betaStab	Normalized inverse bootstrap CI width for β	β 自助法信賴區間穩定度 (استقرار فترة الثقة)

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Null Models

ID	Construction	Purpose
NULL-1	Uniform random	Baseline noise
NULL-2	Shuffled real matrix	Preserves marginals
NULL-3	Radial symmetric	No angular structure
NULL-4	Angular banded	No radial structure
NULL-5	Arithmetic spiral	Wrong spiral class
NULL-6	Power-law radial	Non-exponential decay
NULL-7	Random phase Fourier	Same PSD, broken phase

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Evidence Boundary

Claim	Status
Mathematical spiral detectable in synthetic entropy matrix	Testable — see TEST-003
Physical spiral exists inside real black holes	NOT claimed — out of scope
Quantum advantage demonstrated	NOT demonstrated — circuits are conceptual

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License

This project is released under a trilicense model. You may choose any one of the following:

License	SPDX	Link
Boost Software License 1.0	BSL-1.1	LICENSE-BSL
GNU Affero General Public License v3	AGPL-3.0	LICENSE-AGPL
Mozilla Public License 2.0	MPL-2.0	LICENSE-MPL

Unauthorized cloud SaaS redistribution without source disclosure is prohibited under all three licenses.

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SnapKitty West / SNAPKITTYWEST — Evidence or Silence — 2026