Ultrametric Quantum Computing
Replacing Archimedean geometry with ultrametric geometry for quantum computing. The Bruhat-Tits tree — a structure from p-adic number theory — provides passive error suppression through the strong triangle inequality, operating at 4 K with no active error correction. This portal links all QNFO quantum research: foundational papers, computational evidence, interactive demos, and the full 498-paper catalog.
Core Ultrametric Quantum Papers
Foundational research across quantum computation, field theory, geometry, and AI
Ultrametric Quantum Computation and the Langlands Program
Connects ultrametric quantum computing architecture to the geometric Langlands program. Neutral atom hardware specification, ternary tree circuits, 48× error reduction.
PaperThe Ultrametric Paradigm
Establishes ultrametric geometry as a unifying framework across physics, computation, and cognition. The foundational paradigm paper.
FrameworkUltrametricity — The Unity of Ultrametric Physics
18-chapter book deriving quantum mechanics, QFT, gravity, and the Standard Model from ultrametric geometry. Includes quantum computation chapter.
BookQuantum Laws of Form
Syntactic foundation for physics. Derives quantum mechanics from formal language constraints using Spencer-Brown’s calculus of indications.
FrameworkAdelic Constraints on Quantum Field Theory
Applies adelic number theory to constrain QFT constructions. Connects Archimedean and non-Archimedean places.
PaperThe Hierarchical Universe
How one geometric structure unifies numbers, computation, physics, and meaning — and how to build machines that live within it.
FrameworkDifferent Physics
Explores the consequences of switching from Archimedean to ultrametric geometry as the foundational mathematical structure of physics.
PaperTwo Ways of Measuring
Comparative analysis of Archimedean vs. ultrametric distance measures and their physical implications.
PaperUltrametric AI — Proof of Concept
Demonstrates glass-box AI architectures using ultrametric tree structures. Q-PNA linear mapping with cophenetic loss.
AIComputational Evidence
Tier 0–1 computational validation across Bruhat-Tits tree encoding and glass-box AI architectures
Explore the Ecosystem
Interactive tools, Q&A oracle, and the full research corpus
QWAV Technical Hub
Evidence dashboard, core publications, interactive demos, and development roadmap.
Papers Catalog
498 open-access papers on ultrametric quantum computing, geometric physics, and glass-box AI. Search by title or keyword.
Ask QWAV
Research Q&A oracle. Queries the full corpus with evidence-backed answers. 949 vectors indexed.
QLOF Primer
Interactive knowledge graph and guided tour through Quantum Laws of Form concepts.
QNFO Research Archive
Complete archive of all QNFO publications, datasets, and supplementary materials.
Infrastructure Directory
Full directory of all QWAV/QNFO sites, tools, and services across the ecosystem.