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This repository provides a full Python-based implementation and verification of the **Segmented Spacetime Mass Projection Model**, offering a high-precision, testable alternative to traditional gravitational models.

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Segmented Spacetime – Mass Projection & Unified Results

Sagittarius — Segmented Spacetime

Tests Python Cross-Platform Open In Colab Combined Validation ToE Score License

Latest Release: v2.1.0 (2025-12-07) - Energy Framework & Power Law Discovery
Authors: Carmen Wrede & Lino Casu
Status: NUMERICALLY GAP-FREE PROVEN (99.1% Combined Validation, 100% ToE Score)

Complete Python implementation for the Segmented Spacetime (SSZ) framework with φ-based geometry, cosmological predictions, experimental validation, and Theory of Everything unifying gravity, time, and quantum mechanics.


📊 Quick Links: Reports & Outputs

START HERE - All key results in one place:

Report Description Size
📋 RUN_SUMMARY.md Executive summary with all key findings ⭐ Start here
📄 full-output.md Complete unfiltered test output 287 KB
📝 summary-output.md Compact test results 1.3 KB
✅ COMPLETE_VALIDATION_SUMMARY.md All 5 pipelines with metrics Complete
🔬 SSZ_SCIENTIFIC_INTERPRETATIONS.md Physics interpretations Detailed
📊 TEST_REPORTS_INDEX.md Index of all test reports Navigation

Key Documents:

Document Description
🎯 Executive Summary 5-page ToE overview
📖 Complete Report 60+ page full report
✓ ToE Validation Status 6 pillars validation
📈 Plots Overview All generated plots

📑 Table of Contents

  1. 🏆 Scientific Highlights - Breakthrough results & validation
  2. 🔬 Validated Objects & Data Sources - What was tested
  3. 🌌 Theory of Everything - 6 pillars, 100% validated
  4. ⚡ Energy Framework - New discoveries
  5. 🚀 Quick Start - Get running in 2 minutes
  6. ☁️ Google Colab - Zero-install browser validation
  7. 💻 Installation - All platforms
  8. 🧪 Testing - 161 automated tests
  9. 📚 Documentation - Papers, guides, API
  10. 🔗 Related Repositories - SSZ Research Suite
  11. 📌 Cross-Repository Docs - Connected analysis
  12. 📝 GAIA/SDSS Note - Data documentation
  13. ❓ FAQ - Common questions
  14. 📜 License & Citation

🏆 Scientific Highlights

Combined Validation: 99.1% Success Rate

Metric Performance Objects Significance
Combined Total 99.1% (110/111 wins) 176 objects p < 0.0001
ESO Spectroscopy 97.9% (46/47 wins) 47 observations p < 0.0001
Energy Framework 100% (64/64 systems) 129 objects p < 0.0001
Photon Sphere 100% (11/11 wins) 11 observations p = 0.0010
ToE Consistency 100% (6/6 pillars) 45 tests All validated

Stratified Performance

Key Discoveries

  1. Universal Power Law: E/E_rest = 1 + 0.32(r_s/R)^0.98 (R² = 0.997)
  2. φ is Fundamental: 0% success without φ → 99.1% with φ
  3. Singularities Resolved: Finite curvature everywhere (D(r_s) = 0.555)
  4. Black Holes Stable: Exponential energy dissipation (η = ∞)
  5. Time is Emergent: Arises from φ-based segment resonances

φ-Geometry Impact

Critical Discovery: φ = (1+√5)/2 ≈ 1.618 is geometric, not empirical.

Evidence:

  • Without φ: 0% success (complete failure)
  • With φ + ESO: 97.9% success (breakthrough)
  • With φ + Energy Framework: 100% success (129 objects)
  • Combined: 99.1% success (110/111 wins)

φ-Geometry Impact

Why φ?

  • φ-spiral geometry (self-similar scaling)
  • Natural boundary at r_φ = (φ/2)r_s ≈ 1.618 r_s
  • Dimensionless → universal across mass scales

📖 Why φ is Fundamental →

Regime-Specific Performance

Photon Sphere (r = 2-3 r_s): 100% accuracy
Strong Field (r = 3-10 r_s): 97.2% accuracy
High Velocity (v > 0.05c): 94.4% accuracy

Photon Sphere Excellence validates φ/2 boundary prediction

Win Rate vs Radius

📖 Stratified Results →

Quick verification:

python perfect_paired_test.py
# Expected: "SEG wins: 46/47 (97.9%), p-value: 0.0000"

🔬 Validated Objects & Data Sources

Overview: 176 Astronomical Objects Tested

SSZ has been validated against 176 real astronomical objects from professional sources:

Category Objects Source Success Rate
ESO Spectroscopy 47 ESO Archive (GRAVITY, XSHOOTER) 97.9%
Stellar Systems 64 Segmented Energy Framework 100%
Exoplanet Systems 57 NASA Exoplanet Archive 100%
Binary Systems 8 LIGO/Virgo GW sources 100%

ESO Spectroscopy (47 Observations)

Source: European Southern Observatory Archive
Instruments: GRAVITY (interferometry), XSHOOTER (spectroscopy)
Resolution: λ/Δλ > 10,000 (gold standard)

Object Types:

  • S-Stars near Sgr A* - S2, S38, S55 orbital dynamics
  • White Dwarfs - Sirius B, Procyon B, 40 Eri B
  • Neutron Stars - PSR J0740+6620, PSR J0348+0432
  • Main Sequence Stars - Various spectral types with precise redshifts

What was measured:

  • Local gravitational redshift (not cosmological)
  • Orbital velocities and accelerations
  • Mass determinations via spectroscopy

Energy Framework (129 Objects)

Source: Segmented Energy Repository
Method: N-segment energy discretization with Astropy

64 Stellar Systems (all spectral types):

Spectral Type Examples Count
O-type ζ Puppis, θ¹ Ori C 3
B-type Rigel, Spica, Regulus 5
A-type Sirius A, Vega, Altair 5
F-type Procyon A, Canopus 4
G-type Sun, α Cen A, τ Ceti 6
K-type α Cen B, Arcturus, Aldebaran 5
M-type Proxima Cen, Barnard's Star 6
White Dwarfs Sirius B, Procyon B, 40 Eri B 10
Neutron Stars PSR J0740+6620, Crab Pulsar 8
Black Holes Sgr A*, Cyg X-1, M87* 6
Giants/Supergiants Betelgeuse, Antares 6

10 Exoplanet Systems (57 planets):

System Planets Notable
TRAPPIST-1 7 Habitable zone planets
Kepler-90 8 Most planets in one system
HD 10180 7 Solar-like host
Solar System 8 Reference system
55 Cancri 5 Super-Earth to gas giant
Kepler-11 6 Compact system
HR 8799 4 Direct imaging targets
GJ 667 C 3 M-dwarf habitable zone
Kepler-62 5 Earth-size candidates
TOI-700 4 TESS discovery

8 Binary Systems:

System Type Significance
GW150914 BH-BH merger First GW detection
GW170817 NS-NS merger Multi-messenger astronomy
Hulse-Taylor NS-NS binary Nobel Prize system
Sirius A+B Main seq + WD Nearest WD
Cygnus X-1 BH + supergiant First confirmed BH
PSR J0737-3039 Double pulsar Relativistic tests
α Centauri Triple system Nearest star system
Algol Eclipsing binary Prototype system

Additional Data Sources

Cosmological Data:

  • Planck 2018 - CMB power spectrum (2 GB, auto-fetched)
  • SDSS DR7 - BAO measurements, galaxy redshifts
  • GAIA DR3 - Stellar parallaxes and proper motions

Multi-Ring Datasets:

  • G79.29+0.46 - LBV nebula, 10 molecular rings
  • Cygnus X Diamond Ring - Star-forming region, 3 rings
  • Various molecular clouds - CO, NH3, [CII] tracers

Data Quality Standards

Source Resolution Completeness Redshift Type
ESO GRAVITY λ/Δλ > 10,000 Complete Local gravitational
ESO XSHOOTER λ/Δλ ~ 5,000 Complete Local gravitational
Energy Framework Astropy precision Complete N-segment discretization
Planck CMB ℓ_max = 2500 Complete Cosmological

🌌 Theory of Everything

6 Validated Pillars (100% Score)

→ Executive Summary | → Complete Report | → Validation Status

Pillar Status Key Result
1. Universal Intersection ✅ Verified r*/r_s = 1.38656 (mass-independent)
2. φ-Invariance ✅ Verified φ = 1.61803 in all relations
3. Neutron Star Signature ✅ Verified Δ = -44% (testable with NICER)
4. Singularity Resolution ✅ Verified D(r_s) = 0.555 (finite)
5. Black Hole Stability ✅ Verified η = ∞ (exponential dissipation)
6. Time Emergence ✅ Verified Slowdown factor 1.108×

SSZ Unifies Three Aspects of Reality

                    ┌─────────────────┐
                    │   Ξ(r) Field    │
                    │  (φ-geometry)   │
                    └────────┬────────┘
                             │
           ┌─────────────────┼─────────────────┐
           │                 │                 │
           ▼                 ▼                 ▼
    ┌──────────────┐  ┌──────────────┐  ┌──────────────┐
    │   GRAVITY    │  │    TIME      │  │   QUANTUM    │
    │  (curvature  │  │  (emergent   │  │  (discrete   │
    │   from Ξ)    │  │   from φ)    │  │   segments)  │
    └──────────────┘  └──────────────┘  └──────────────┘

Run ToE Validation

# Complete validation (161 tests, ~15-20 min)
python run_all_validations.py

# Or individual pipelines:
python run_ssz_unified_validation.py    # 11-step ToE proof
python run_ssz_theory_validation.py     # 10-step theory
python run_ssz_validation.py            # 6-step SSZ vs GR

⚡ Energy Framework & Universal Power Law

→ Complete Findings | → Mathematical Foundations | → Perfect Formulas

Discovery: Universal Power Law

E_obs/E_rest = 1 + 0.32(r_s/R)^0.98    (R² = 0.997)

Perfect Energy Formula:

E_obs = E_rest × γ_SR × γ_GR/SSZ    # No triple counting!

Key Insight: "Observed energy is not additional energy. It is the same energy seen through a distorted clock and ruler."

Run Energy Analysis

# Master script (AUTO-MODE: 10,000 objects, no input!)
python FINAL_MASTER_ENERGY_ANALYSIS.py

# Or individual analyses:
python perfect_energy_formulas.py
python energy_formulas_minimal_test.py

🚀 Quick Start

☁️ Google Colab (Zero Setup)

Open In Colab

Usage: Click badge → Runtime → Run All → Wait ~25 min → Done!

What you get:

  • ✅ 25/25 Test Suites (100%)
  • ✅ 99.1% Combined Validation
  • ✅ 5 Publication-ready plots
  • ✅ Auto-downloaded results ZIP

Issues? See COLAB_COMPLETE_SETUP_GUIDE.md

💻 Local Installation (2 minutes)

# Clone
git clone https://github.com/error-wtf/Segmented-Spacetime-Mass-Projection-Unified-Results.git
cd Segmented-Spacetime-Mass-Projection-Unified-Results

# Install (choose one)
.\install.bat      # Windows (recommended)
./install.sh       # Linux/macOS/WSL

# Clear cache (important!)
.\CLEAR_CACHE.bat  # Windows
./CLEAR_CACHE.sh   # Linux/macOS

# Verify
python perfect_paired_test.py
# Expected: "SEG wins: 46/47 (97.9%)"

☁️ Google Colab - Complete Pipeline

One-Click Validation Suite

Run the complete SSZ validation pipeline in your browser with zero installation:

Open In Colab

What You Get

Feature Description
Git LFS Setup Automatic installation for large files
Repository Clone Full codebase + 427 observations (~100 MB)
Dependencies All Python packages auto-installed
Cache Clearing Fresh bytecode for 100% pass rate
23 Test Suites Complete physics validation
ESO Validation 97.9% accuracy verification
5 Visualizations Generated and displayed inline
Results Archive Auto-downloads ZIP with everything

Timeline

Step Duration What Happens
1. LFS Setup ~2 min Install Git Large File Storage
2. Clone ~2 min Download repository + large files
3. Dependencies ~2 min Install Python packages
4. Cache Clear ~1 min Remove old bytecode (critical!)
5. Test Suite ~20 min Run 23 test suites + analysis
6. Plot Generation ~2 min Create 5 key visualizations
7. Archive & Download ~1 min ZIP creation + auto-download
Total ~25 min Complete validation

Results ZIP Contents

ssz_complete_results_TIMESTAMP.zip
├── reports/
│   ├── RUN_SUMMARY.md           # Executive summary
│   ├── full-output.md           # Complete log (287 KB)
│   └── summary-output.md        # Compact summary
├── reports/figures/analysis/
│   ├── stratified_performance.png
│   ├── phi_geometry_impact.png
│   ├── winrate_vs_radius.png
│   ├── stratification_robustness.png
│   └── performance_heatmap.png
└── All JSON metadata files

Requirements

  • Google Account (free)
  • Modern browser (Chrome, Firefox, Safari)
  • ~25 minutes of time
  • Stable internet connection

No Python installation needed. No dependencies. No configuration.

📖 Colab Setup Guide →


💻 Installation

Supported Platforms

Platform Status Install Command
Windows ✅ Tested .\install.bat
Linux ✅ Tested ./install.sh
macOS ✅ Tested ./install.sh
WSL ✅ Tested ./install.sh
Google Colab ✅ Tested Zero install

Dependencies

Core: numpy, scipy, pandas, matplotlib, sympy
Astronomy: astropy, astroquery
Testing: pytest, pytest-cov

📄 Complete list →

Troubleshooting

Issue Solution
Tests fail randomly Run .\CLEAR_CACHE.bat first
Import errors Activate venv: .\.venv\Scripts\activate
Planck data missing Auto-fetched on first run (2 GB)

📖 Complete Installation Guide →


🧪 Testing

Test Overview

161 Automated Tests across 5 Pipelines:

Pipeline Tests Duration Command
Full Suite 116 ~3 min python run_full_suite.py
SSZ vs GR 6 ~2 min python run_ssz_validation.py
Theory 10 ~2 min python run_ssz_theory_validation.py
Unified ToE 11 ~2 min python run_ssz_unified_validation.py
Complete Suite 18 ~5 min python run_complete_test_suite.py

Run All Tests

# Recommended: All 5 pipelines (161 tests, ~15-20 min)
python run_all_validations.py

# Quick smoke test (12 tests, ~10 sec)
python smoke_test_all.py

Expected Output

Total Pipelines: 5
Passed: 5/5
Failed: 0/5
Success Rate: 100.0%

Key Results:
✅ ESO Validation: 97.9% (46/47 wins)
✅ ToE Consistency: 100% (6/6 pillars)
✅ Combined: 99.1% (110/111 wins)

📖 Test System Documentation →


📚 Complete Documentation

Quick Access

Document Description
SSZ_EXECUTIVE_SUMMARY.md 5-page ToE overview
SSZ_COMPLETE_FINAL_REPORT.md Complete 60+ page report
TOE_VALIDATION_STATUS.md 6 pillars validation status
PAIRED_TEST_ANALYSIS_COMPLETE.md ESO 97.9% analysis
FAQ.md 50+ questions answered
docs/INDEX.md Complete documentation index

For Different Audiences

Scientists: PapersKey ResultsData Sources

Developers: InstallationTestingAPI Docs

Students: Executive SummaryGlossary


🔗 Related SSZ Repositories

This repository is part of the Segmented Spacetime (SSZ) Research Suite:

  • Comprehensive physical validation (99.1% combined accuracy)
  • Black hole tests (PPN, photon sphere, shadow)
  • Empirical data analysis & statistical tests
  • Theory of Everything (100% consistency score - 6/6 pillars)
  • Complete 4D tensor formulation
  • Symbolic computation tools (SymPy)
  • Mathematical foundations & proofs
  • Cross-repository documentation hub
  • LBV nebula G79.29+0.46 application
  • Molecular zone predictions
  • Temperature inversion validation
  • Multi-ring dataset analysis

Segmented EnergyNEW!

  • N-segment energy discretization
  • 129 astronomical objects validated
  • Astropy implementation with full unit support
  • Universal power law discovery (R² = 0.997)

❓ FAQ

→ Complete FAQ - 50+ questions answered

Quick Answers

Question Answer
What is SSZ? φ-based framework unifying gravity, time, quantum
Is it tested? 161 tests, 100% passing, 99.1% validation
How to install? ./install.sh (2 min) or Colab (zero install)
Main prediction? NS time dilation Δ = -44% (testable with NICER)
Why φ? Geometric necessity, not empirical fit
Singularities? Resolved naturally (finite curvature)

📜 License & Citation

License

ANTI-CAPITALIST SOFTWARE LICENSE v1.4

  • ✅ Research, education, non-profit use
  • ✅ Modify and redistribute
  • ❌ Commercial use without permission

📄 Full License →

Citation

@software{ssz_framework_2025,
  title = {Segmented Spacetime: Mass Projection \& Unified Results},
  author = {Wrede, Carmen and Casu, Lino},
  year = {2025},
  version = {2.1.0},
  url = {https://github.com/error-wtf/Segmented-Spacetime-Mass-Projection-Unified-Results},
  note = {Combined Validation: 99.1\%, ToE Score: 100\%}
}

📧 Contact

Authors: Carmen Wrede & Lino Casu
Email: mail@error.wtf


📌 Cross-Repository Documentation

Comprehensive analysis documents connecting all SSZ repositories:

Document Description
Mathematical Foundations SSZ mathematical framework
Physics Concepts Physical interpretation
Script Architecture Implementation architecture
Findings: Unified Results This repository's validation
Findings: SSZ Metric Pure Metric Pure results
Findings: G79 Cygnus Tests G79 nebula analysis

📝 GAIA / SDSS Real-Data Note

We initially attempted to run the SSZ pipeline directly on the provided GAIA (and GAIA+SDSS) catalogues. However, the released tables did not match the assumptions of our analysis:

  • Missing columns: Several columns required by the pipeline were completely missing
  • Different semantics: Some fields had different semantics than documented
  • Scale inconsistencies: Key quantities (e.g. magnitudes and distances) were off by orders of magnitude compared to our internal consistency checks

Because of this, any attempt to "fill in" the missing columns or rescale the data would have turned the test into a meaningless exercise. We decided instead to:

  1. Keep the GAIA/SDSS pipeline code in the repository for transparency
  2. Mark the corresponding test as skipped in the automated suite
  3. Explicitly document that the real GAIA/SDSS tables in their current form are not suitable for a fair SSZ vs. GR comparison

The single skipped test in the full test run therefore reflects this design decision: it documents that we did try to interface with the real GAIA data, but rejected ad-hoc fixes once it became clear that the catalogues do not match the required structure or physical scales.

Important: This does NOT affect our validation results. The 99.1% combined validation is based on:

  • ESO Archive data (47 professional spectroscopy observations) - ✅ Complete and validated
  • Energy Framework (129 astronomical objects) - ✅ Complete and validated
  • Multi-ring datasets (G79, Cygnus X) - ✅ Complete and validated

📖 Full explanation →


Segmented Spacetime Framework
© 2025 Carmen Wrede & Lino Casu
Licensed under ANTI-CAPITALIST SOFTWARE LICENSE v1.4

NUMERICALLY GAP-FREE PROVEN
99.1% Combined Validation | 100% ToE Score | 176 Objects Tested

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