Application of the L2HMC algorithm to simulations in lattice QCD.
Deriving the Standard Model from a single finite geometry with zero free parameters
Hamiltonian Gauge Gravity Surveyor (HiGGS). Tools for Hamiltonian constraint, canonical and Dirac-Bergmann analysis of gravity theories with spacetime curvature and torsion.
Lecture Notes in Electromagnetics II for Engineering Physics master students at Uppsala University (2022-2026)
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.
Hamiltonian Gauge Gravity Surveyor (HiGGS). Tools for Hamiltonian constraint, canonical and Dirac-Bergmann analysis of gravity theories with spacetime curvature and torsion.
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.
Lattice QCD multi-quark flux-tube program: SU(2) high-statistics remeasurement to SU(3) 6q systems.
[Legacy Archive] Topological Energy Condensate Theory (TECT): an open-physics candidate framework for emergent spacetime, fields, and particles.
AI-generated solutions to two research-level math problems from the First Proof community experiment: a Yang-Mills gauge-fixing heat-flow estimate on the 2-torus, and sharp fatness of geodesic triangles in sparse random graphs. Produced autonomously in Claude Code, offered for human validation.
Concrete implementations of classical Lie groups and Lie algebras in Rust, with emphasis on mathematical correctness and numerical stability
Numerical field relaxation algorithm capable of finding solutions to the Euclidean SU(2) Georgi-Glashow equations of motion on a 4D lattice.
# Grand Unified Polymerization Framework
Sparse Lie algebra engine for G₂, F₄, E₆, E₇, E₈ — 913× compression, lattice gauge theory, equivariant GNN layers. pip install dhl-mm
Solutions and miscellaneous notes for "Gauge Fields, Knots and Gravity"
Simple implementation of U(1) gauge theory on lattice in 1 + 1 dimensions
A formalized Lean 4 proof that Quantum Mechanics and General Relativity emerge from a classical Spin(4, C) gauge connection.
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.
Book II of Dark Geometry: the Standard Model gauge group, particle masses, couplings and mixing angles derived from d=3 and the Planck mass alone — zero free parameters. ~170 predictions, ~80 sub-percent (Koide leptons, v_H to 22 ppm, m_p/m_e=6π⁵). Verification code + master table.
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