Toroidal Torsion Field Theory (TTFT) : A Topological Derivation of the Fine-Structure Constant

This repository contains the reproducible materials accompanying the paper
"A Topological Origin for the Fine-Structure Constant from Torsion Flux on the 3-Torus".
The work shows that, under the single Master Substrate Postulate of TTFT,
the spatial topology is forced to be T3, and the electromagnetic coupling
is determined by the L2 norm of the unique flux-normalized harmonic torsion
mode J_1^(0). The central result is the parameter-free prediction

which yields

in agreement with CODATA at the 4 ppm level.

Included in this Zenodo record:

1. TTFT_alpha.tex
   Full LaTeX source of the paper. Contains:

   • Topological selection argument forcing T3

   • Derivation of the electromagnetic coupling from the genus-1 torsion mode

   • Metric-invariance and flux-normalization proofs

   • Numerical evaluation protocol

   • Final prediction for alpha

2. ttft_alpha96.py
   A minimal, self-contained Python program for independent verification.
   The script computes the dimensionless invariants at resolution N=96
   (midpoint of the refinement ladder used in the full study).
   It reproduces the key spectral quantities:

   • alpha_raw^{-1}

   • J_delta / A

   • alpha^{-1} * J_delta approx 2*pi
     These match the full ladder computation and lie on the expected
     O(N^{-4}) convergence curve.

3. LICENSE (MIT)
   Open-source license permitting reuse, modification, and redistribution.

4. README.md
   Instructions for running the code in standard Python environments
   or Google Colab. No external parameters or tunable constants
   are required.

Purpose:
This release ensures that the TTFT prediction for the fine-structure constant
is fully transparent, falsifiable, and independently reproducible.
All numerical results are obtained from fixed-protocol operators on a
unit-length T3, with no adjustable inputs.

Keywords:
TTFT, fine-structure constant, torsion, topology, T3, harmonic 1-forms,
spectral geometry, numerical eigenanalysis, alpha prediction,
geometric field theory.