TFT (Tensor Field Theory) is a QSOL research framework describing self-dual φ-locked tensor dynamics — where geometry, information, and sound evolve through invariant resonance.
It extends the UFT (Unified Field Framework) into dynamics, providing a harmonic model of how invariant structures move, interact, and sustain coherence across space-time and frequency domains.
TFT formalizes resonance as field evolution, unifying:
- Tensor calculus (geometry)
- Fourier analysis (frequency)
- φ = π/2 self-duality (informational phase symmetry)
Truth is not fixed; it is a resonance that remains invariant through transformation.
TFT treats tensor fields as resonant manifolds rather than static quantities.
Each tensor evolves under a φ-locked phase symmetry, ensuring informational orthogonality and self-duality.
Field Equation
∇^μ ∇_μ T_{ij...} + (φ + ψ)^2 T_{ij...} = 0
This general wave equation governs the dynamic balance of geometry and information.
Project Structure
docs/ — theoretical papers and diagrams
src/ — simulation prototypes (tensor resonance, φ-lock dynamics)
figures/ — Tensor Wave Equation, φ-Lock Symmetry, Fourier Resonance Manifold
LICENSE — CC-BY-4.0
README.md — project overview
zenodo.json — publication metadata
Quickstart
Clone and run a minimal TFT simulation:
git clone https://github.com/QSOLKCB/TFT.git
cd TFT
pip install -r requirements.txt
python src/example.py
Optional parameters:
TFT_SEED=2025 TFT_DIM=4 python src/example.py
Requirements
Python 3.10+
numpy ≥ 1.26
scipy ≥ 1.11
matplotlib ≥ 3.8
(dev) pytest ≥ 7.4
Citation
**Slade, T. (2025).** *Tensor Field Theory: From Invariance to Dynamics.*
Zenodo. https://doi.org/10.5281/zenodo.17587839
License
This work is licensed under the
Creative Commons Attribution 4.0 International License (CC BY 4.0).
Part of the QSOL Research Series — QEC → UFT → TFT.