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Tensor Field Theory: From Invariance to Dynamics — QSOL IMC Series

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@EmergentMonk EmergentMonk released this 12 Nov 07:49
· 3 commits to main since this release
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🌀 Tensor Field Theory — v1.0.0

Tag: v1.0.0
Title: From Invariance to Dynamics
Release Date: 2025-11-12

🔍 Overview

This release marks the formal publication of TFT (Tensor Field Theory) — the third framework in the QSOL-IMC research series (QEC → UFT → TFT).
It extends the Unified Field framework from static invariance into dynamic harmonic resonance, defining information and geometry as self-dual φ-locked fields that evolve through sound-like coherence.

TFT reframes the tensor as a resonant manifold — not a passive container of numbers, but an active symmetry of vibration.

🧮 Core Additions

Mathematical Model:

Introduces the general φ-locked tensor field equation
∇^μ ∇_μ T_{ij...} + (φ + ψ)² T_{ij...} = 0

Formalizes resonance as invariant field evolution.

Source Code:

Adds minimal Python prototypes for tensor resonance simulation (src/).

Documentation:

Complete README with reproducible Quickstart and theory summary.

Integrated Zenodo metadata (.zenodo.json) for DOI tracking.

Visual Assets:

Phase Cube diagram illustrating orthogonal resonance and φ-lock symmetry (figures/phase_cube.png).

🧩 Philosophy

“Truth is not fixed; it is a resonance that remains invariant through transformation.”

This release establishes resonance as the bridge between geometry, information, and sound — forming the conceptual and mathematical transition from UFT (Unified Field) to TFT (Tensor Field).

⚙️ Tech Specs

Python ≥ 3.10

Dependencies: numpy, scipy, matplotlib

Deterministic seeded runs via TFT_SEED environment variable

📚 Citation

Slade, T. (2025). Tensor Field Theory: From Invariance to Dynamics.
Zenodo. https://doi.org/10.5281/zenodo.pending

🧠 Notes

Part of the QSOL-IMC research continuum.
Future work will extend this foundation into Spectral Algebraics II, exploring φ-locked lattice symphonics and quantum sonification.