Open research on finite observer-consistency in physics: Lean-checked theorems and lemmas, reproducible simulations, explicit countermodels, and clearly tracked open physical bridges.
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.
Repository hosting the KLFitter library – the Kinematic Likelihood Fitter.
Deriving the Standard Model from a single finite geometry with zero free parameters
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
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.
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.
To derive the mysterious mass hierarchy of quarks (e.g., Why is Top quark so heavy?) by mapping particle generations to Prime Knots of increasing crossing number.
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.
唯一の公理¬∃→∃と明示された同定公理から、宇宙論的定数（120桁問題を連続パラメータゼロで抑制、誤差1.71%）・CMB音響ピーク・標準模型の群構造を導出する反証可能な統一理論。新等式 α·ln n* = R(S^(n*-1))·π を含む。/ A falsifiable unified theory deriving Λ, CMB peaks, and the SM gauge group from a single axiom with zero fitted parameters.
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