Topological Fixed-Point Theory: a machine-checked discrete compiler for the Standard Model, α⁻¹, and cosmology from two axioms. Papers, verification suite (Python/Wolfram/Lean), experiments & website.
Deriving the Standard Model from a single finite geometry with zero free parameters
Repository hosting the KLFitter library – the Kinematic Likelihood Fitter.
Open source toolkit for simulating and visualizing particle interactions as predicted by the Standard Model
Mathematica package for algebraic calculations in elementary particle physics. Performs automated calculation of all one- and two-loop Feynman integrals reducable to scalar integrals independent of external momenta and depending on up to two different masses.
Spectral Causal Theory: derivations, verification, analysis, and publications.
Using the patterns and particles of physics as the building blocks of programs
Book Particle Physics by Christoph Berger and Gregor Herten
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.
Several implementations of the standard PPHPC agent-based model
This project aims to ease work of particle physicists through tools that allow tasks like numerical calculations, generation of diagrams, latexing them, calculating amplitudes and cross sections, etc. This also provides full customizability to add any new theory you want.
Certified mathematical identities of the K₇ framework: E₈×E₈ gauge theory on a G₂-holonomy manifold, 460+ relations, 0 sorry, Lean 4. Formerly gift-framework/core (GIFT Core). Distinct from Arithmon/Lean, the Sieve methodology layer.
Wolfram Language package calculating the couplings and mixings of the SM and MSSM
Geometric-Electromagnetic Model (GEM): A topological reformulation of the quantum vacuum as a Riemann-Cartan manifold with icosahedral substructure. Includes the published paper (DOI: 10.5281/zenodo.21268209), foundational documents, and experimental protocols.
The Cascade Series: The universe from nothing
A simulator of the Big Bang.
Atlas of Fundamental Concepts (aka, The Visual Atlas of Mathematical Structure)
Universal Measurement Contract Protocol (UMCP) — a contract-first validation framework implementing Generative Collapse Dynamics. 23 domains · 746 proven theorems · 20k+ tests · 44 structural identities · Python + C++17 accelerator.
HCSM derives the Standard Model and gravity from one discrete substrate: a periodic 8×8 torus and its Hodge complex. The substrate is fixed by a single theorem; particle-sector empirical anchors are zero. Charge, masses, mixing, graviton, dark energy, and Lorentzian signature all follow, verified at machine precision.
This paper explores the fascinating evolution of string theory, from its origins as a novel approach known as ”bootstrap models” in relativistic particle physics to its current status as a candidate theory of quantum gravity.
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