Unified Topological Mass Framework
A discrete braid-theoretic model unifying particle physics and gravity
The framework accurately reproduces the observed spectrum of fermion masses through the topological invariants of three-strand braids, providing a geometric origin for mass.
Gravity emerges naturally through the coupling of the twist field to spacetime torsion, providing a path to quantum gravity without the need for additional dimensions.
The model predicts density-dependent dark matter self-interactions that solve small-scale structure problems while remaining consistent with large-scale observations.
Research Papers
A four-dimensional quantum field theory unifying the Standard Model and gravity via topological braid invariants, with proofs of renormalizability and concrete experimental predictions.
Author: Dustin Beachy, Independent Researcher
This foundational paper embeds the mass operator into a four-dimensional gauge-invariant field theory, proving the theory is renormalizable at one loop, gauge-consistent, and anomaly-free.
Author: Dustin Beachy, Independent Researcher
A complete step-by-step proof that the non-polynomial mass operator is essentially self-adjoint and admits a unique self-adjoint extension, establishing the Hermiticity required for physical observables.
Author: Cosmic Braid Research Team
A detailed mathematical derivation that supplies every algebraic step in the proof of UTMF renormalizability, confirming all loop integrals, wavefunction renormalization, and gauge invariance explicitly.
Author: Dustin Beachy, Independent Researcher
Completes the framework by writing out the full Lagrangian, deriving the Euler–Lagrange equations, quantizing the theory via path integrals, and providing Feynman rules and predictions.
Author: Dustin Beachy, Independent Researcher
A unified, renormalizable quantum field theory in which particles, forces, and gravity arise from discrete braid invariants embedded within a 4-valent spin network, with exact lepton mass predictions.
Author: Dustin Beachy, Independent Researcher
Derives fermionic statistics from the algebra of braid groups and shows how gauge fields emerge naturally from holonomies on the network, giving physical meaning to the Standard Model's symmetries.
Author: Dustin Beachy, Independent Researcher
Explains why particles have their observed charges, spins, and mass ranges, identifying natural "zones" in the spectrum that cluster known particles and predict the existence of others.
Author: Dustin Beachy, Independent Researcher
Solves the UTMF mass equations using known lepton masses to extract exact parameter values for the mass operator, matching experimental data to sub-eV accuracy.
Author: Dustin Beachy, Independent Researcher
A topologically quantized variational framework for protein folding that extends UTMF principles to biological systems, interpreting protein structure as an attractor in a constrained topological phase space.
Author: Dustin Beachy, Independent Researcher
A unified framework that integrates topological invariants from protein folding with resonance-locking dynamics in quantum coherence systems, extending the UTMF to predict structural transitions and mass-state emergence.
Author: Dustin Beachy, Independent Researcher
Key Parameters
| Parameter | Symbol | Value | Description |
|---|---|---|---|
| Mass Scale | Λc | 0.08404 MeV | Overall mass scale parameter |
| Exponential Factor | λc | 1.8827 | Controls mass hierarchy |
| Writhe Coefficient | αc | -0.0005905 MeV | Writhe contribution to mass |
| Twist Coefficient | κc | -0.04073 MeV | Twist contribution to mass |
| Loop Scale | η | -13.39 MeV | Loop correction scale |
| TBRR Coefficient | χ | 1.12754 MeV | Torsion resonance coefficient |