A theoretical framework explaining how particle masses emerge from topological invariants of braided structures in quantum geometry, revealing the woven nature of reality.
Deriving Particle Masses from Braid Complexity
The mass of a particle is determined by the topological complexity of its corresponding braid, where Nc is the crossing number, and Λ and λ are constants. This formula accurately reproduces the observed mass hierarchy of leptons.
Explore our latest research on the Woven Universe framework
Our flagship paper introducing the topological framework for mass generation from braided structures in quantum geometry.
Understand the comprehensive framework connecting quantum geometry to classical spacetime physics.
A mathematical model deriving electron, muon, and tau masses from quantized braid structures with sub-percent precision.
A braid-theoretic model of fermions and neutrino mixing where mass emerges from topological entropy and flavor oscillations from braid deformations.
A novel approach predicting neutrino masses using quantized topological braid structures with sub-eV accuracy.
Explore our new paper on quantum particles derived from braided spin networks with interactive visualizations.
New research on QCD derived from braided spin networks, establishing SU(3) gauge symmetry as braid permutations.
A dynamical framework for topological particle fields based on braid excitations in discrete spin networks.
Discover how black holes emerge as topological condensates of braided excitations in quantum spin networks.
Discover how dark matter emerges as topologically neutral braids in quantum spin networks.
Explore how dark energy emerges from network-level topological dynamics of spin networks within quantum geometry.
A novel approach combining topological braid structures and QED interactions to accurately predict the electron mass from first principles.
Understanding how quantum threads weave together to form the tapestry of spacetime
Discrete quantum structures where edges carry SU(2) representations (spins) and nodes carry intertwiners, forming the fundamental fabric of spacetime.
Topological defects in the spin network that represent matter particles, characterized by crossings, twists, and chirality.
Braids induce curvature via deficit angles and torsion via Burgers vectors, directly connecting quantum geometry to Einstein-Cartan theory.
Conserved quantities like topological charge Q = ntwist + χ·ncrossings and spin s = (ntwist·χ)/2 that characterize braid excitations.
This theory begins with a discrete quantum spin network at the Planck scale, where:
Through a coarse-graining procedure, this discrete quantum structure gives rise to a continuous spacetime manifold governed by the Einstein-Cartan field equations, with braids appearing as matter sources with both energy-momentum and spin.