Unity of Ultrametric Physics: A Self-Contained Development from First Principles
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Updated
May 29, 2026 - Python
Unity of Ultrametric Physics: A Self-Contained Development from First Principles
Two Ways of Measuring: A Framework for Distance, Memory, and Fault-Tolerant Computation
Ultrametric AI — Proof of Concept: Token-level explainable attention via p-adic valuation trees and Spencer-Brown's Laws of Form
Adelic Constraints on Quantum Field Theory
ULTRAMETRIC QUANTUM COMPUTATION: An MVP Program for Passive Geometric Fault Tolerance
THE ROAD NOT TAKEN: A Different Kind of Physics
Measure-Theoretic Artifacts v2.0: The Adelic Completion Problem, Langlands Connection, and UV/IR Divergences
The Ultrametric Paradigm: How the Choice of Geometry Determines Everything
ZBW-P5 Capstone: Vanishing ZBW Signal
Adelic Langlands Physics — formalizing the Langlands Program as adelic physics
THE HIERARCHICAL UNIVERSE: How One Geometric Structure Unifies Numbers, Computation, Physics, and Meaning — and How to Build Machines That Live Within It
Ultrametric p-Adic Quantum Metrology — passive error resilience for near-term quantum advantage
ACRP-07: Valuation Reading of the Qubit Delusion — the adelic valuation-to-QEC bridge is aesthetic, not load-bearing (negative result)
Ultrametric research paper discovery engine — p-adic valuation, Ostrowski hybrid ranking, Hensel lifting on Cloudflare Workers. 451 papers, 3-phase search, 20 mathematical principles.
ACRP-02: Formal note on the tree vs boundary distinction — vertex metric 0-hyperbolic but NOT ultrametric; boundary Gromov metric IS ultrametric and recovers |.|_p. Corrects ZBW P1 Claim C2 (ultrametric core -> 0-hyperbolic core).
Language-neutral information retrieval on Nested Semantic Trees. 27-doc 8-language corpus
The Adelic Cross-Domain Program: Phase 2 Synthesis — Bruhat-Tits trees, Pythagorean semigroup, and SM mass spectrum
Adelic Program: Epistemological Foundations and Communications Framework
ACRP-04: Statistical audit of the Cross-Domain v3.2 claim that the Pythagorean semigroup P={2^a 3^b 5^c} encodes all SM mass ratios to within 2%. Outcome-neutral: reports look-elsewhere analysis, PDG uncertainty propagation, and a pre-registered neutrino prediction.
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