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710 papers from the QNFO program, filed on nine shelves by the reader each one is written for: energy per answer, error correction, physics, numbers and p-adics, logic and formalism, AI and knowledge, autonomous systems, assessments, and cross-cutting essays. Every page renders its mathematics and can be questioned in place. How a living paper works.
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Physics papers 17 papers
Physicists. Quantum mechanics and its foundations, qubit and device physics, decoherence and leakage, entanglement, anyons and topological matter, superconductivity, thermodynamics of physical systems, spacetime, cosmology and quantum biology.
Bruhat–Tits trees. Bruhat-Tits trees used as the model space Tagged papers: 61.
Emergent Minkowski Spacetime from Products of Bruhat–Tits Trees: Dimensional Selection, Horizon Geometry, and Scaling‑Limit Analysis
The dimensionality and Lorentzian signature of spacetime are imposed rather than derived in most quantum‑gravity frameworks, leaving model‑building costly and background‑dependent. We close this gap by constructing a product of \(D\) Bruhat–Tits trees, orienting a single tree to supply a directed…
Reformulating Quantum Mechanics on Bruhat–Tits Trees: A Deterministic Boundary‑Measure Framework
Quantum foundations confront the measurement problem and the postulated Born rule $P_i=|c_i|^2$. Existing platforms—type‑I parametric‑down‑conversion sources delivering $10\;\text{kHz}$ coincidences at $200\;\text{mW}$ pump power [1] and superconducting processors achieving $99.90\%$ single‑qubit…
Time as Epistemic Emergence on a $p$-Adic Bruhat–Tits Tree: Static Constraint, Counting Laws, and the Observer-Generated Arrow
The problem of time in quantum gravity blocks any straightforward union of general relativity, in which the time coordinate is dynamical, with quantum mechanics, in which evolution requires an external background parameter; until it is resolved, a non-perturbative quantum theory of gravity cannot…
Fidelity Budgets for Discrete Regularizations of Gauge Theories: Exact Single-Link Computations, Scaling Laws, and the Limits of Heuristic Bounds
Discrete regularizations of gauge theories — finite-dimensional link Hilbert spaces in quantum link models, truncated electric bases on quantum registers, and tensor networks on Bruhat–Tits trees — all face the same structural question: when does the discrete object faithfully encode its continuum…
The q-Generalized α-Diameter: Scaling Exponents D_q^α for Arbitrary Ultrametric Ratios
In the QNFO ultrametric physics program, the fine-structure constant α has been reframed as a cross-ratio of two measurable electron length scales, and adelic extensions on Bruhat–Tits buildings have been proposed. A natural but unresolved question is how the characteristic "depth" associated with…
The Adelic Distinction: Physics as Automorphic Representation Theory on the Idele Class Group
Proposes that the adele ring and idele class group provide the single mathematical object whose automorphic representations generate all known particle physics, gauge interactions, and cosmological parameters. Covers gauge symmetry, spin, charge quantization, three generations, QFT as automorphic…
ODR Thesis: The Compton Count as the Only Primitive
ODR framework: Compton count as the only primitive physical invariant.
Quasiparticles as Rational Functions: Extending ODR to Condensed Matter
The Ontological Distribution of Reality (ODR) framework identifies a particle with its Compton count \(N_C = m/m_P \in \mathbb{Q}^+\), a dimensionless rational number whose prime factorization assigns it a fixed vertex on the Bruhat–Tits tree. This paper extends that framework to address a natural…
The Compton-Counting Ontology and the Bruhat-Tits Tree
The Compton frequency of a particle, normalized by the Planck frequency, yields a dimensionless rational number --- the Compton count. We argue that this count subsumes every other physical quantity as a rational function, that the physical number system is therefore [\\(\\mathbb{Q}\\)]{.math…
Ultrametric Quantum Computation and the Langlands Program
A unified thesis establishing ultrametric quantum computation on Bruhat-Tits trees as the physical substrate for the Langlands program, with Hecke operators as quantum gates and the adele ring as the natural spacetime.
Zitterbewegung: From Archimedean Puzzle to Adelic Observable
The structural underdetermination of the position operator in relativistic quantum mechanics arises from a single representation-theoretic origin: the Silent Parameter Principle. SU(2) and Z2^x share identical fusion rules at matching levels. The 2-adic ZBW frequency deviates from the Archimedean…
Beyond the Qubit: Constructive Paradigms for Post-Particle Computation
If "The Qubit Delusion" diagnosed the epistemic failure at the heart of quantum computing --- the projection of particle ontology onto a relational, field-theoretic reality --- then this companion paper asks the constructive question: what comes next? We begin with an ontological stripping: what…
Zitterbewegung as the Physical Realization of p-Adic Anyon Braiding
Shows that the ZBW-induced oscillatory trajectory of a Dirac fermion in a Bruhat-Tits building generates the braid group B_n, establishing ZBW as a physical mechanism for p-adic anyon braiding in topological quantum computation.
Bruhat-Tits Readout Protocol: Measuring the ZBW Z2 Invariant in Majorana Systems
Proposes three measurement protocols for the p-adic Z_2 invariant: Direct current-correlator measurement, Hensel-lifting amplification via the Bruhat-Tits building, and Gromov delta-hyperbolicity comparison of ZBW trajectories in Dirac/Majorana systems.
Operationalizing Generalized Symmetries
The experimental realization of Fractional Chern Insulators (FCIs) in twisted moiré superlattices has opened a new frontier for topological physics, yet the classification of their underlying generalized symmetries remains theoretically abstract. This study operationalizes the framework of…
KINETIC ISOMORPHISM
The schism between the time-reversible, unitary laws of quantum mechanics and the irreversible, adaptive nature of biological systems constitutes a central failure of modern ontology. We propose the kinetic isomorphism, a unified theoretical framework demonstrating that “static” matter and “active”…
Nature of Zitterbewegung
Zitterbewegung, a profound and counterintuitive prediction of relativistic quantum mechanics, describes an intrinsic property of fundamental matter lacking a direct classical counterpart. This phenomenon challenges conventional notions of particle motion, revealing a deeper layer of reality governed…
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