🌌 Temporal Rate Matrix / Temporal Quantum Matrix — V3.0 Review Baseline

Claim-safe status: TRM/TQM V3.0 is a tested-effective, hypothesis-supported weak-field transport/synchronization framework. It does not claim theorem-level first-principles closure or equivalence with General Relativity.

This repository contains the numerical implementation and analysis tools for the Temporal Rate Matrix (TRM) / Temporal Quantum Matrix (TQM) framework.

Temporal Rate Matrix / Temporal Quantum Matrix — V3.0 Review Baseline

🔬 Overview

The TRM/TQM framework is organized as a multi-sector weak-field effective model (scalar, vector, nonlocal theta, unified action roadmap) with explicit test guards and claim boundaries.

Instead of claiming a completed curvature-first replacement theory, the model treats observed discrepancies as effective transport/synchronization behavior around a temporal-rate field:

[ \mathcal{T}(x,t) ]

The repository implements the numerical models used to evaluate this framework across multiple astrophysical domains.

✅ Current Branch Baseline (V3.0 Review Release)

• Scalar transport + bridge guards: EL/Fermat executable bridge path remains tested and bounded.
• Memory-channel path: MC09–MC12 hardens the (\phi^2|\dot{\mu}|) derivation path up to effective-coupling level.
• Rational closure path: RBF21–RBF23 hardens (m=3) via minimal three-constraint model, bounded perturbation stability, and phase-lattice-energy-based action/tick discriminator.
• Theta observable path: TO/TQK/LC/TOL guard blocks support (\Theta \rightarrow O_5 \rightarrow \lambda_\Theta \rightarrow g_{\mathrm{obs}}) as tested-effective chain.
• Vector sector path: FD01–FD20 hardens weak-field frame-dragging candidate behavior and non-fitted effective (k_T) workflow.
• Unified action path: UF01–UF09 guards scalar/vector/theta limit recovery, bounded small cross-terms, and integration preservation.
• Local gates stabilized: category-based workflow is active (CoreRegression, Category!=LongRunning, Category=LongRunning).

🧭 Reviewer quick start

TRM/TQM V3.0 is a tested-effective, hypothesis-supported multi-sector framework. It is not a claim to replace General Relativity and does not claim theorem-level first-principles closure.

Key reproducibility commands:

dotnet test TRM.Tests/TRM.Tests.csproj --filter "Category=CoreRegression"

dotnet test TRM.Tests/TRM.Tests.csproj --filter "Category!=LongRunning"

📚 V3.0 paper set

• docs/papers/Paper1_TRM_V3_Framework/TRM_V3_0_Framework_Review_Baseline.pdf
• docs/papers/Paper2_Memory_ModeLocking/TRM_V3_0_Memory_and_ModeLocking.pdf
• docs/papers/Paper3_Theta_Vector_UnifiedAction/TRM_V3_0_Theta_Vector_and_UnifiedAction.pdf

🕰️ Version lineage

• V3.0: current review baseline (multi-sector framework with explicit claim boundaries).
• V2.2 and V1: legacy historical baselines.

📊 Implemented Domains

This repository includes computational models and analysis scripts for:

• Galactic Rotation Curves (SPARC)

  • Non-linear co-fit for the acceleration scale ( a_0 )
  • Reproduction of flat rotation curves and BTFR

• Galaxy Clusters (ACCEPT)

  • Pressure-triggered regime transition
  • Bimodal classification (Newtonian vs TRM-supported)

• Cosmic Microwave Background (Planck)

  • k-space acoustic analysis
  • Temporal phase-coherence modeling

• Cosmological Expansion (Pantheon+)

  • Luminosity-distance fitting
  • Temporal drift coefficient ( \beta_{\mathcal{T}} )

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📂 Solution Structure

• TRM.Core
  The theoretical engine. Contains shared analysis models, the RK4 acoustic solver, and grid-sweep optimization algorithms.
• TRM.CMD
  Console entry point to execute selected high-performance analyses and parameter sweeps via an interactive menu.
• TRM.Tests
  xUnit test suite acting as the scientific safeguard. Includes sector hardening blocks (MC09–MC12, RBF21–RBF23, TO/TQK/LC/TOL, FD01–FD20, UF01–UF09), plus domain validations and regression gates.
• TRM.Python
  Python plotting pipeline for visualizing output data (CSV) into publication-ready graphs.

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⚙️ Getting Started

Prerequisites

• .NET SDK 10
• Visual Studio 2026 (or dotnet CLI)
• Python 3.11+ (for TRM.Python visualizations)

Install required Python packages for plotting: pip install pandas matplotlib seaborn numpy

Build the Project

From the solution root directory: dotnet build TRM_Cosmology.slnx

Run the Analysis (Console App)

dotnet run --project TRM.CMD/TRM.CMD.csproj Note: The console app reads input catalogs from the Data directory. Ensure required files (e.g., SPARC/ACCEPT catalogs and Pantheon+SH0ES.dat) are present in your local execution folder.

Run the Scientific Validations (Tests)

Execute the rigorous xUnit test suite to verify the exact cosmological constants (a_0, eta_rec, beta_T) against the latest observational bounds: dotnet test TRM.Tests/TRM.Tests.csproj Tests use ITestOutputHelper for detailed log outputs, visible directly in your Test Explorer or CLI.

Run only the fast hard regression gate: dotnet test TRM.Tests/TRM.Tests.csproj --filter "Category=CoreRegression"

Run the default suite without slow sweeps: dotnet test TRM.Tests/TRM.Tests.csproj --filter "Category!=LongRunning"

Run long-running sweeps manually/nightly: dotnet test TRM.Tests/TRM.Tests.csproj --filter "Category=LongRunning"

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📄 Key Review/Theory Documents

• docs/review/TRM_Cover_Letter_And_Abstract.md
• docs/review/REVIEW_PACKAGE.md (recommended reviewer start point)
• docs/review/TRM_Peer_Review_Request.md
• docs/review/TRM_Current_Status_For_PeerReview.md
• docs/review/TRM_Service_Test_Consolidation.md
• docs/review/TRM_TestSuite_Classification.md
• docs/review/TRM_Real_Physics_Test_Coverage.md
• docs/review/TRM_Code_To_Theory_Audit.md
• docs/Theory/TRM_Field_Sector_Map.md
• docs/Theory/TRM_First_Principles_Gap_List.md
• docs/Theory/TRM_Unified_Field_Action_Roadmap.md
• docs/Theory/TRM_Geodesic_Derivation.md
• docs/Theory/TRM_Collective_Mode_Locking_BridgeScale.md
• docs/Theory/TRM_Finsler_Optical_Action.md

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📌 Notes & Scientific Contribution

• Data-Driven: All analyses depend on external, peer-reviewed observational datasets (SPARC, ACCEPT, Planck, Pantheon+).
• Troubleshooting: If FileNotFound errors occur during runtime, verify your working directory and ensure the data catalogs are correctly placed in the Data folder and set to "Copy if newer".
• Contributing: This is an open-science initiative. Feel free to open issues or submit Pull Requests if you want to optimize the integrators or test the TRM framework against new astrophysical databases.