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.
a payment application intended for deployment by the united states treasury that replaces banking with accounting
A suite of tools for solving Nonlinear Schrodinger equations via higher-order algorithms and Darboux transformations.
Collaborative, open-source notes on mathematical physics with Obsidian.md
Useful programs for orbital mechanics
A Python package for analyzing the Hofstadter model.
Software for computations with tensor categories
Mathematica package for calculating polynomial integrals over the unitary group
Repository for the article "Group Theory in Physics - An Introduction with Mathematica", EPJ Special Topics (2024)
Source code for my blog on physics, mathematics and philosophy
A set of autonomous Mathematica programs which explore the chaos in Gauss-Bonnet black holes, Reissner-Nordstrom black holes, Schwarzschild black holes, Born-Infeld black holes and hyper scale violating manifolds in Anti de-Sitter space.
EpiSimulator: A Data-Driven Stochastic Hybrid Model for COVID-19 in Italy.
The W(3,3)-E6 Correspondence Theorem: deriving the Standard Model from a single finite geometry with zero free parameters
Adèlic spectral frameworks for computational number theory: exploring exact discrete bounds for pattern avoidance via CP-SAT, and quantum-physical realizations of automorphic L-function zeros.
Hamiltonian Gauge Gravity Surveyor (HiGGS). Tools for Hamiltonian constraint, canonical and Dirac-Bergmann analysis of gravity theories with spacetime curvature and torsion.
Auxiliary platform of the course `Methods of Mathematical Physics' (数学物理方法教学辅助平台)
Mathematical Physics Science: Gyroscopic Alignment Research Lab
Mathematical Physics Course
Geometric Information Field Theory. Standard Model parameters as topological invariants of a G₂ manifold. Zero free parameters, formally verified, falsifiable.
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