Application of the L2HMC algorithm to simulations in lattice QCD.

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)

Hamiltonian Gauge Gravity Surveyor (HiGGS). Tools for Hamiltonian constraint, canonical and Dirac-Bergmann analysis of gravity theories with spacetime curvature and torsion.

Yang-Mills Existence and Mass Gap via the Spectral Operator Framework — Tr(J_SU(3)) = 24 = Omega

Lattice QCD multi-quark flux-tube program: SU(2) high-statistics remeasurement to SU(3) 6q systems.

The W(3,3)-E6 Correspondence Theorem: deriving the Standard Model from a single finite geometry with zero free parameters

Geometric Information Field Theory. 33 SM predictions from pure topology. 0.24% mean deviation. Zero free parameters. open source, Lean 4 verified, falsifiable.

GIFT Core: Certified mathematical identities from E8×E8 gauge theory on G2 manifolds. Verified in Lean 4

Numerical field relaxation algorithm capable of finding solutions to the Euclidean SU(2) Georgi-Glashow equations of motion on a 4D lattice.

Concrete implementations of classical Lie groups and Lie algebras in Rust, with emphasis on mathematical correctness and numerical stability

Solutions and miscellaneous notes for "Gauge Fields, Knots and Gravity"

The Riemann Hypothesis: A Gauge-Theoretic Proof via Even Dominance and Spectral Stability. Zenodo DOI: 10.5281/zenodo.19035845

Sparse Lie algebra engine for G₂, F₄, E₆, E₇, E₈ — 913× compression, lattice gauge theory, equivariant GNN layers. pip install dhl-mm

Cospans, spans, hypergraph rewriting (DPO), multiway evolution, discrete curvature, Petri nets, Frobenius algebras, wiring diagrams, E_n operads, compact closed categories, and lattice gauge theory in Rust — applied category theory for compositional systems, with SurrealDB persistence

# Grand Unified Polymerization Framework

Simple implementation of U(1) gauge theory on lattice in 1 + 1 dimensions

Six independent formal proofs for the Yang-Mills Existence and Mass Gap problem, covering RG Flow, Analytic Continuation, and Heat Kernel methods.

Yang-Mills existence and mass gap via self-adjoint gauge persistence on the manifold-constrained canonical lane. Reproducible local-to-global theorem package.

Ultronic Medium Hypothesis: Simulations unifying gauge theory, GR, and cosmology