TCWT Preprint (Primary Citation)

TCWT Software Release (GitHub-linked)

High‑level overview of the entire theory.
➡️ `docs/00_TCWT Master Framework & Consistency Rules

Covariant Lagrangian, stability, dispersion, field equations.
➡️ docs/TCWT_Lagrangian.md

Canonical quantization, interference, entanglement, detection.
➡️ docs/TCWT_Quantum.md

Hopfions, chiral zero‑modes, Berry phase, emergent statistics.
➡️ docs/TCWT Fermion Sector.md

How TCWT reproduces Einstein’s equations in the strong‑field limit.
➡️ docs/TCWT_Einstein_Limit.md

Phase‑bleed gravity, Newtonian limit, galactic rotation curves.
➡️ docs/TCWT_Orbital_Mechanics.md

Hum standing waves, radial nodes, system scaling, debris belts.
➡️ docs/TCWT_Stellar_and_Planetary_Formation.md

Growth equation, matter power spectrum, BAO, lensing, CMB.
➡️ docs/TCWT_cosmology.md

Predictions and falsifiable signatures across scales.
➡️ docs/Observational Tests.md

• Gravity = phase‑bleed acceleration: a = -χ ∇θ
• Newtonian limit recovered
• Flat rotation curves emerge naturally
• No exotic dark matter particles required

• Stable Hopfion knots = fermions
• Chiral zero‑modes → spin‑½
• Braiding → Fermi–Dirac statistics
• Higher Hopf charge → lepton generations

• Interference = phase structure
• Detection = knot nucleation
• Probability = quadratic action
• Entanglement = phase correlations

• k⁴ ghost term suppresses small‑scale power
• BAO amplitude modified
• Weak lensing signatures differ from ΛCDM
• Late‑time acceleration from ghost leakage

TCWT is now fully modular and mathematically defined, but several areas need expert attention:

• nonlinear stability analysis
• renormalization of the MOND‑like sector
• full perturbation evolution in CLASS
• Hopfion zero‑mode numerics
• scale‑dependent dispersion and ghost‑sector damping

If you’re interested in contributing, please open an issue or contact me.

A collaborator‑focused summary is available here:
docs/Summary_For_Potential_Collaborators.pdf

cff-version: 1.2.0 message: "If you use this theory or code, please cite it as below." authors:

• family-names: "Gibson" given-names: "Allan" title: "TCWT: Total Coherence Wave Theory" version: "1.0.0" date-released: "2026-03-20" url: "https://github.com" license: "Apache-2.0" abstract: "A framework for interpreting quantum decoherence as a function of informational density (Omega) and temporal curvature."

If you use TCWT in your research, please cite:

@article{gibson_tcwt_preprint_2026, author = {Gibson, Allan}, title = {Total Coherence Wave Theory: A Unified Phase-Field Framework for Matter, Gravity, and Cosmic Structure}, year = {2026}, publisher = {Zenodo}, doi = {10.5281/zenodo.19134582}, url = {https://doi.org/10.5281/zenodo.19134582} }