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Physics papers 32 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.
Valuation theory. Valuations, Ostrowski's theorem, completions Tagged papers: 79.
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…
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 )…
Singularity as an Epistemic Artifact: Finite Cyclic Cosmology without Actual Infinities
Cosmological singularities — states in which density, curvature and temperature diverge — mark the breakdown of predictive physics at the Big Bang and inside black holes, and they block any quantitative continuation of collapse or of the early universe. Whether these infinities are features of…
Physical Irrelevance of Uncountability: Computable Reals Suffice for Continuum Physics
Continuum physics is traditionally formulated over the uncountable real line $\mathbb{R}$, yet every laboratory measurement, record, and computation is finite. This paper asks whether the uncountability of $\mathbb{R}$—as distinct from its Archimedean completeness—has any observable consequence. The…
Master Calibration for Non‑Overlapping Physical Frameworks: Composition, Closure, and the Limits of Partial Translation
Physics is fragmented by persistent bifurcations—general relativity versus quantum mechanics, continuum versus discrete descriptions, the Heisenberg cut, and the status of the observer. These schisms impose concrete costs: collider, fusion, and quantum‑hardware programmes proceed without a shared…
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…
Critical Values on a Non-Uniform Number Line: Bifurcation Markers, Normalization Dependence, and the Conjectured Specialness of Physical Constants
We examine the conjecture that the real number line, as a model of physical state space, is misleadingly uniform: that certain parameter values act as topological phase boundaries rather than smooth increments, and that fundamental constants such as the fine-structure constant $\alpha \approx 1/137$…
Completion-Invariance of Physical Ontology: The Rational Base Field in Quantum Foundations
We propose and formalize a principle of completion-invariance for physical ontology: since all recorded measurement outcomes are rational numbers, the archimedean completion $\mathbb{R}$ and the non-archimedean completions $\mathbb{Q}_p$ of the rational base field $\mathbb{Q}$ are equally…
The Zero-Point Phase as an Archimedean Factor of Weil-Index Reciprocity: A Formal Verification and Its Limits
The vacuum phase of the harmonic oscillator — the Archimedean Maslov (metaplectic) phase $e^{i\pi/4}$ accompanying the zero-point energy $\tfrac{1}{2}\hbar\omega$ — is conventionally treated as a purely real-place, analytic structure. We investigate the conjecture that this phase is instead one…
Invariant Structural Value: Fundamental Constants and Formulas as Invariant Relations
A measured physical quantity is a number that survives all arbitrary choices. The unit system, the coordinate system, the gauge choice, the Hilbert-space basis, and the energy scale are all choices; what is invariant under them is what is physical. This essay develops the structuralist reading that…
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…
Frequency as Valuation Theory: The Rational Ratio at the Heart of Physical Law
Frequency in dimensionless Planck units is a rational ratio a/b in Q. The Compton frequency of a fundamental particle is its invariant identity — its prime spectrum.
ODR Thesis: The Compton Count as the Only Primitive
ODR framework: Compton count as the only primitive physical invariant.
The Ostrowski Dimensionless Reformulation: A Systematic Compilation of Fundamental Physics Equations in Planck Units
Systematic compilation and dimensionless reformulation of 53 fundamental physics equations across ten disciplines, motivated by the Ostrowski Dimensionless Mandate. Dimensional formulations implicitly privilege the Archimedean completion of the rationals per Ostrowski theorem (1916). All quantities…
Counterfactual Physics: What If p-Adic Methods Had Won?
The p-adic approach to physics was nearly mainstream. Vladimirov and Volovich developed p-adic quantum mechanics in the 1980s. Freund and Witten connected p-adic string amplitudes to the adelic product formula in 1987. Dragovich extended p-adic methods to cosmology and the Standard Model. Yet by…
Depth, Breadth, and Valuation: A Unified Ontology of the Physical Continuum
Three-axis framework: Depth (computable reals), Breadth (non-computable reals — physically vacuous), Valuation (p-adic completions as information carriers). Falsifiable predications for QEC, gauge structure.
The ℚ-vs-ℝ Question: Why Physical Law Requires Only the Rational Numbers
The QNFO physics programme — spanning the Adelic Physics Program (7 papers), the Ostrowski Programme (30+ artifacts), Hensel Codes (3 versions), and the ultrametric foundation — rests on an assumption that has never been systematically defended: that the rational numbers (ℚ) are the physically…
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 --…
Adelic Constraints on Quantum Field Theory—Phase 2 Synthesis
<p>Phase 2 subjected the Phase 1 findings to deeper epistemic scrutiny, guided by the “constants critique”: 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…
Consilience Between Physics and Number Theory: Convergent Theses from Ostrowski's Theorem to Adelic Quantum Mechanics
We synthesize convergent evidence from physics (quantum mechanics, quantum field theory, zitterbewegung, quantum error correction, the Standard Model mass spectrum) and number theory (Ostrowski's theorem, Tate's thesis, the Riemann zeta function, Bruhat-Tits buildings, the adele ring) into a unified…
α-π-Helix: Geometric Unification of Fundamental Constants
Geometric unification of fundamental constants using α (fine-structure) and π (geometric) helix structures, classifying Standard Model particles as topological vortex/helicon states. v2.1 — Phase 10 complete with 6-domain synthesis including experimental roadmap, cosmology, mathematical rigor, QFT…
Unity of Ultrametric Physics
This document develops a unified framework for physics grounded in ultrametric geometry. No prior mathematical knowledge is assumed. Every concept — from the notion of a set to the adelic field equations — is defined in place, every operation explained, and key properties proved. The text can be…
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.…
REIFICATION AND NON-ARCHIMEDEAN FOUNDATIONS IN THEORETICAL PHYSICS
This synthesis examines the persistent difficulties in contemporary theoretical physics through the lens of the Copernican diagnostic: the proliferation of unobservable entities (virtual particles, dark matter, the inflaton, etc.) signals not that nature is complex but that the descriptive framework…
Static Architecture of Reality
URL: https://papers.qnfo.org/papers/static-architecture-of-reality/ Date: 2026-03-21 Version: 1.0.1 Human consciousness presents a world in constant flux. From the rotation of planets to the decay of particles, every measurement confirms a dynamic universe. This experience of temporal flow is so…
From Force to Fractal
The transition from force-based epistemic placeholders to a purely geometric ontic bedrock represents the defining trajectory of modern theoretical physics. By synthesizing Ontic Structural Realism with contemporary developments in Invariant Set Theory, we propose a unified framework where reality…
SPACETIME CONDENSATE
Standard cosmology (\(\Lambda\)CDM) is currently fractured by two statistically significant anomalies: the \(5\sigma\) Hubble tension between early-universe (Planck) and late-universe (SH0ES) expansion rates, and the 120-order-of-magnitude vacuum catastrophe separating the theoretical Planck density…
Hydrodynamic Stability Hypothesis
This work identifies a “chronological fallacy” at the heart of quantum foundations: the axiomatization of quantum mechanics by von Neumann (1932) predated the rigorous formulation of classical probability by Kolmogorov (1933), creating an artificial schism between physics and statistics. To resolve…
Superfluid Vacuum Theory
The historical incompatibility between general relativity and quantum mechanics is identified not as a fundamental paradox of nature, but as an artifact of the “binning error”—the methodological fallacy of mistaking emergent topological stability for fundamental discreteness. This paper proposes a…
Universe as a Single Solution
This paper re-examines the conclusions drawn from Bell’s theorem by critically analyzing its third, often unexamined, premise: Statistical Independence. While the experimental violation of Bell’s inequality has traditionally forced a choice between locality and realism, this work argues that…
Dimensionless Physics
This work presents dimensionless physics as the fundamental language of nature, demonstrating how all physical laws can be expressed as relationships between pure dimensionless ratios rather than anthropocentric units. Building upon the Buckingham Pi Theorem, this document shows that dimensional…
The Simplicity of Reality: Deconstructing the Mathematical Epicycles of Modern Physics
Simplicity of Reality: Deconstructing the Mathematical Epicycles of Modern Physics Abstract: This paper argues that the impenetrable mathematical abstraction of modern theoretical physics is not a necessary feature of reality, but a direct symptom of a flawed ontological foundation initiated by…
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