QNFO Papers

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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 18 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.

Adelic. Adeles, restricted products and adelic constructions Tagged papers: 45.

  1. Physics

    Fine‑Structure Constant as an Adelically Constrained Cross‑Ratio

    The fine‑structure constant α is a dimensionless coupling whose empirical value $\approx$ 1/137 remains unexplained by the Standard Model. This work investigates the hypothesis that α can be expressed as a projective cross‑ratio of adelic invariants and that the adelic product formula…

  2. Physics

    Adelic Constraints on Standard Model Parameters: A Toy Consistency Test

    The Standard Model (SM) contains dozens of free parameters whose values are measured but not explained. A long‑standing conjecture proposes that if the fundamental law is defined over the rational numbers $\mathbb{Q}$ and must be consistent under every completion (the real place $\mathbb{R}$ and all…

  3. Physicsv1.0.1

    Adelic Euler‑Product Cancellation of Vacuum Energy in Ultrametric Cosmology

    The observed dark‑energy density $\rho_{\Lambda}^{\rm obs}\approx10^{-47}\,\text{GeV}^4$ is smaller than the naïve quantum‑field‑theoretic vacuum estimate by roughly $10^{120}$, a discrepancy that dominates the cosmological constant problem. Existing proposals invoke new dynamical fields or…

  4. Physics

    Adelic p‑adic Vacuum Energy Suppression and the Cosmological Constant Problem

    The observed dark‑energy density $\rho_{\Lambda}^{\rm obs}\approx10^{-47}\,\text{GeV}^4$ is smaller than the naïve quantum‑field‑theoretic vacuum estimate by roughly $10^{120}$, a discrepancy that blocks predictive cosmology. Existing proposals retain the Archimedean real number field and invoke…

  5. Physics

    Finite‑Prime Valuations in Fundamental Physics: An Adelically Demoted Real‑Number Perspective

    Precision high‑energy experiments, quantum‑information platforms, and cosmological surveys all express predictions as real‑valued numbers, assuming that the Archimedean field alone captures physical reality. The gap is the absence of a systematic demonstration that finite‑prime ( $p$‑adic )…

  6. Physicsrev 27 Oct 2026v2.0.0

    Zitterbewegung as an Archimedean–2-adic Adelic Mixing Signature: Spectral-Gap Formalization, Numerical Anchors, and a Falsifiable Simulation Program

    Zitterbewegung (ZBW) — the trembling motion of a Dirac wave packet at angular frequency $\omega = 2mc^{2}/\hbar$ — is conventionally treated as an interference artifact of the Dirac Hamiltonian, with no independent physical content. A gap remains: no existing framework makes precise, in a…

  7. Physicsrev 14 Oct 2026v2.0.0

    Adelic Zitterbewegung: p-Adic Regularization of Dirac Trembling Motion and the Product-Formula Cancellation at Macroscopic Scales

    Zitterbewegung (ZBW) — the trembling motion of Dirac wave packets at the Compton scale — is conventionally treated as a purely Archimedean interference effect between the positive- and negative-energy branches of the free Dirac equation. Missing from the standard account is any mechanism by which…

  8. Physics

    Adelic Consistency Conditions Across Primes as a Candidate Selection Principle for Physical Constants: Formulation, Negative Control, and Toy Dynamics

    The three constants problem—why the fine-structure constant takes its observed value, why charged-lepton masses are hierarchically spaced, and what fixes the absolute mass scale—has no accepted resolution within the Standard Model. We develop a research program, stated as a testable conjecture…

  9. Physics

    Zitterbewegung as Archimedean–2-adic Channel Mixing: A Conjectural Adelic Framework and Its Testable Consequences

    Zitterbewegung (ZBW) — the trembling motion of Dirac wave packets at the Compton scale, first identified by Breit and Schrödinger — is conventionally explained as interference between positive- and negative-energy branches on the real line. We develop a conjecture, motivated by the adelic physics…

  10. Physics

    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…

  11. Physicsv0.1.0

    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…

  12. Physicsv0.8.0

    Killing the Framework: Seven Criteria for the Falsification of Adelic Physics

    A framework that accommodates any observation has zero empirical content. This paper proposes seven kill criteria for the adelic framework, audits each for escape hatches, grades it against the incumbents (GR composite C, SM C, LCDM B, string D), tests all against existing data, and applies the…

  13. Physics

    Invariant Patterns and the Adelic Refactoring of Fundamental Physics

    This paper proposes a systematic refactoring of fundamental physics around a single organizing principle: physics is the study of invariant patterns under specified classes of transformations. Stripping away anthropocentric conventions --- measurement units and the privileged status of Archimedean…

  14. Physicsv1.2.0

    The Adelic Physics Program: Epistemological Foundations and Communications Framework

    The QNFO Adelic Physics Program proposes that the physically accessible base field of physics is Q (the rational numbers), not R (the real numbers). Ostrowskis theorem demands all p-adic completions of Q be physically meaningful. This paper provides the epistemological and pedagogical…

  15. Physics

    The Harmonic Paradigm Under Ostrowski’s Theorem: A p-Adic/Adélic Re-Evaluation with Helical Compton Vortex Synthesis

    Systematic Ostrowski-completion-theoretic audit of the Harmonic Paradigm V1.0-V4.0. Five findings: (1) Beta-function mechanism is infinity-place-specific -- Missarov (1989) confirms different universality class. (2) Q_p not ordered -- eliminates S-matrix, Noether, measurement. (3) pi IS adelic --…

  16. Physicsv5.11.0

    Adelic Constraints on Quantum Field Theory—Phase 2 Synthesis

    <p>Phase 2 subjected the Phase 1 findings to deeper epistemic scrutiny, guided by the &ldquo;constants critique&rdquo;: that no physical quantity can be natively transcendental, and that true physical observables must be rational cross-ratios. This critique proved correct. The Phase 1…

  17. Physicsrev 14 Sep 2026v2.0.0

    Adelic Synthesis: The Pattern-Particle Correspondence and the Complete Arithmetic Theory of Anyons

    Unifies all place-specific constructions into an adelic synthesis: anyons are adelic patterns, not particles. Proposes Adelic Topological Quantum Computation (ATQC).

  18. Physics

    Ratio-Based Adelic Physics

    The tension between continuous Archimedean spacetime paradigms and discrete, non-Archimedean topological realities constitutes the central mathematical bottleneck in modern complexity science, hindering the unification of quantum mechanics, spin glass phase dynamics, and cognitive psychophysics.…

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