Research

Research

Original work in computational geometry and mathematical physics. Every analytical result is backed by numerical verification in Python and, where applicable, formal proofs in Lean 4.

Discrete Causal Model

A discrete matrix-algebraic model of the universe — space as index structure, time as unitary evolution, physics as the rule for constructing the evolution operator.

Oloid Geometry

The generalized oloid — exact closed-form properties for the convex hull of two linked circles at arbitrary dihedral angle.

Synchronization Horizon

Quantum decoherence as a deterministic data-compression artifact — wave-function collapse from time-averaged measurement under fine-structure drift.