p-adic

A visualiser of the Bruhat-Tits tree over ℚp.

Number representation when the base is a free parameter — a machine-checked corpus on function-defined radix systems, from positional notation as algebra to the geometry and conservation laws of coupled radix networks.

Generate simple p-adic integer diagrams

Arithmetic system of 2-adic numbers in scheme language

Tuppence Programming Language

Ultrametric AI — Proof of Concept: Token-level explainable attention via p-adic valuation trees and Spencer-Brown's Laws of Form

An explicit marked profinite presentation of the absolute Galois group of Q₂: four generators, two relations, and a pro-2 wild-inertia condition, with interactive paper, two Lean 4 formalizations, and a finite-quotient verifier

Unity of Ultrametric Physics: A Self-Contained Development from First Principles

k-Nearest Neighbors Algorithm with p-adic Distance

Two Ways of Measuring: A Framework for Distance, Memory, and Fault-Tolerant Computation

QWAV

ZBW-P5 Capstone: Vanishing ZBW Signal

ULTRAMETRIC QUANTUM COMPUTATION: An MVP Program for Passive Geometric Fault Tolerance

The Ultrametric Paradigm: How the Choice of Geometry Determines Everything

Number systems as metric-neutral: the same symbols read under Archimedean or ultrametric interpretation

Ultrametric p-Adic Quantum Metrology — passive error resilience for near-term quantum advantage

Formal and empirical investigation of the Collatz conjecture. Combines topological, combinatorial, and analytic perspectives: extension on Z₂×Z₃, backward automaton with canonical horizon, and Lyapunov drift analysis showing uniqueness of the cycle.

An absolutely new mathematical framework for analyzing the Elliptic Curve Discrete Logarithm Problem (ECDLP)

The Harmonic Paradigm: harmonic oscillator as universal IR attractor, RG as scale-space syntax, alpha as unifying distance-from-harmonicity parameter across 8-rung ladder.