Spectral Causal Theory: derivations, verification, analysis, and publications.

Formal verification of the logical incompatibility between the P=NP hypothesis and the Witten-Helffer-Sjöstrand tunneling theorems in spectral geometry. Implemented in Lean 4.

GNN-guided structure-aware mesh simplification framework

Lean 4 library characterizing the algebraic structure of metastability and consolidation in stochastic systems

Cosmochrony: A Structurally Constrained Pre-Geometric Framework for Emergent Physics

The Golomb Universe

RIME: spectral, transport, accessibility, and observable-pipeline geometry for finite represented systems, with Rubik as a reproducible laboratory.

Effective spacetime geometry from admissible non-injective projection, with thermodynamic scope explicitly delimited.

Operator-geometric framework for metabolic identifiability and metabolite panel design under partial observability using Human-GEM, proteomics-informed reaction weighting, and spectral geometry.

Causal Propagation and Gravitational Waves from Projective Spectral Dynamics

Proof of the Lifting Hypothesis [H-lift]: Kinetic-Sector Identification via Generator Suppression

BFS Shell Stratification and the Emergence of Four-Dimensional Lorentzian Geometry

Evaluating the Riemann Hypothesis in Lean 4 via p-adic shift operators and tensor networks.

Newtonian Potentials from Projective Entropy in Three Dimensions

Fortitude and persistence dedicated to a worthy endeavor.

SUE-inspired benchmark testing spectral geometry, anchor alignment, and MMD refinement for weakly paired multimodal retrieval.

Approximation atlas of Dirichlet, Neumann, and Steklov spectra on triangle, quadrilateral, and pentagon shape spaces

Controlled benchmark showing how spectral geometry diagnostics reveal embedding failures hidden by retrieval metrics.

Reproducible verification for the paper Gap-protected spectral invariants on T^d/Z_2 (doi:10.5281/zenodo.20597195)

Three Admissible Directions and Three Spatial Dimensions: A Structural Bridge Candidate between Heff ≃ C3 and the Horizontal Geometry of Heis3(R)