topological-physics

K₇ (formerly GIFT), the founding framework of the Arithmon program. Standard Model parameters as topological invariants of a G₂ manifold. Zero free parameters, formally verified, falsifiable.

To synthesize the findings of the TARDIS Framework into a single, cohesive Theory of Everything. Throughout this research program, we have systematically replaced abstract "forces" and "parameters" with geometric and topological principles.

Simulating the "Atmospheric Ringsel" using a topological poloidal-toroidal model. Features a central Vector Field A "Mountain," an O-Point Moat, and a 6-satellite Bucking Shield. Moving from brute-force meteorology to non-linear "Bifilar Warp" collapse via phase-shifted triggers. Scaled from tabletop MHD experiments

Protocole de couche physique transformant l'interférence sans fil en structure cristalline auto-réparatrice via la géométrie E8, la modulation $\phi$ et la frustration géométrique

Official Archive of the QCK Framework. A bilingual (EN/DE) collection of 46 papers redefining physics and algorithmic cognition through topological mechanics and discrete 3D vacuum geometry. A parameter-free ontology resolving standard model anomalies.

Chirality probe for topological magnon in CrI3 and canted AFM 2D honeycomb

Geometric resolution of Bell nonlocality in CPT-Siamese Universes. Entanglement acts as global phase synchronization across dual sheets. Includes analytic derivation of CHSH correlations and observational evidence from FRB anisotropies aligned with the Siamese Axis, unifying QM and cosmology.

Framework mathématique unifié utilisant la Cohomologie des Faisceaux pour transformer la frustration géométrique en ressource computationnelle. Appliqué à la matière condensée, la morphogenèse biologique et l'ingénierie de combustion (TJI). Vers une ingénierie de l'émergence topologique. 🌀⚙️

Study of how local flux variations on a Kitaev lattice affect global fermionic parity — searching for an underlying topological rule.

Atmospheric Ringsel: A shift from brute force to harmonic resonance. Using a 6-satellite stator model and Bifilar Warp logic, this repo simulates hurricane dissipation through topological disruption of the Vector Potential (A). We target Lyapunov coordinates via Butterfly Triggers to collapse the storm’s coherence. Resonance over force.

A PyTorch topological regularizer based on the Helix-TTD Constitutional Hamiltonian. Enforces phase-locked AI alignment via trefoil knot invariants to suppress drift and barren plateaus.

Official implementation of "The Quantum Loom." We simulate Spacetime as a Discrete Topological Superfluid on IBM Heron (156-qubit) processors to computationally resolve the Hubble Tension, Dark Energy, and the Singularity.

CDFD Part I: Fundamental Physics - Constraint-Driven Field Theory and Flux Dynamics