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Results for “foundations” 21 papers
Operational Axioms Do Not Select the Standard Model: A Formal Audit of a Generalized-Probabilistic-Theory Reconstruction Conjecture
A conjecture in the foundations of physics holds that four operational axioms of generalized probabilistic theories (GPTs) — causality, no-signaling, local tomography, and continuous reversibility — extended to systems with infinitely many degrees of freedom, necessarily yield quantum field theory…
Ultrametric Foundations for Quantum Dynamics: A $p$-Adic Calculus Approach
Fault-tolerant quantum processors demand error-correction overheads estimated at $10^{3}$–$10^{6}$ physical qubits per logical qubit, and each correction round dissipates energy through irreversible syndrome erasure. A proposed alternative models quantum dynamics over the $p$-adic fields…
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…
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…
A Critical Treatise on the Load-Bearing Assumptions of Quantum Mechanics, Thermodynamics, and Computation
The electron is the most precisely measured particle in physics and the workhorse of modern computation, yet the theoretical structure in which it lives rests on assumptions that are load-bearing but rarely interrogated: the complex Hilbert-space postulate, the spin-statistics theorem's premises,…
The Adelic Distinction: Physics as Automorphic Representation Theory on the Idele Class Group
Ostrowski's theorem (1916) establishes that every completion of the rational numbers $\mathbb{Q}$ is either the real Archimedean place $\mathbb{R}$ or a $p$-adic non-Archimedean place $\mathbb{Q}_p$. Physics has, for a century, restricted itself to the Archimedean completion alone — using real…
ODR Thesis: The Compton Count as the Only Primitive
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 synthesises five research questions into a…
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…
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…
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). Ostrowski's theorem — a proven result in number theory — then demands that all p-adic completions of ℚ be physically meaningful, transforming the…
Finite Specification, Ontological Indeterminism: The Gisin–Del Santo Program Converges with Autaxys Ontological Closure
We examine the Gisin--Del Santo program on finite-precision physics and its convergence with the Autaxys Ontological Closure (OC) framework. The Gisin--Del Santo program argues that (1) physical quantities contain only finite information, (2) real numbers are physically unreal --- they are *de…
The Observer Inside the Tree: Can Self-Location in an Ultrametric Structure Resolve the Inside/Outside Schism?
The 29-schisms framework claims to resolve the central schism of quantum foundations — S10, the observer inside vs. outside — by embedding the observer as a node in an ultrametric TREE structure, eliminating the need for an external vantage point. This paper subjects that claim to independent…
Computational Syntax of Reality
The persistent reliance on continuous, substance-based ontologies in theoretical physics has precipitated a crisis of non-renormalizable infinities, demanding a radical shift toward discrete relational foundations. By shifting to an epistemic foundation built entirely on a finite substrate of…
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…
Syntactic Token Calculus Research Plan
The persistent reliance on continuous, substance-based ontologies in theoretical physics has precipitated a crisis of non-renormalizable infinities, demanding a radical shift toward discrete relational foundations. By shifting to an epistemic foundation built entirely on a finite substrate of…
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…
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…
WINDING NUMBERS AND STRANGE LOOPS
The historical preference for linear mathematical frameworks in physics represents a profound ontological oversight. This paper establishes that physical reality emerges not from linear foundations with circular corrections, but from circular/topological primitives with linear projections. The…
Scale-Divergence Problem
This document provides a rigorous examination of the Scale-Divergence Problem, a fundamental schism in modern cosmology that arises from the antithetical performance of the two leading theoretical frameworks—Lambda Cold Dark Matter (ΛCDM) and Modified Newtonian Dynamics (MOND)—across different…
Iceberg of Reality
The human quest to understand the cosmos has been a journey of progressively stripping away familiar assumptions. Each deeper layer of reality, revealed by physics, shows that our previous conceptions were not false but incomplete models—effective approximations of a stranger, more abstract, and…
Philosophy of Science
Previous chapters have critically examined the foundations of modern physics, revealing deep challenges to our understanding of reality, substance, causality, structure, methodology, and even the process of scientific knowing itself. These challenges suggest limitations in our current scientific…
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