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A Critical Treatise on the Load-Bearing Assumptions of Quantum Mechanics, Thermodynamics, and Computation

Rowan Brad Quni-Gudzinas

Published Aug 17, 2026• 0 citations
Publisher

Abstract

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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This Full Edition expands the v0.1 architecture into the treatise proper: nine parts and fifty-one chapters. Every assumption examined is subjected to a fixed six-step procedure — state the assumption in its strongest form; identify what is built on it; separate confirmed predictions from postulates; list alternatives that preserve the confirmed predictions while relaxing the assumption; define falsifiability conditions; record open questions. Why a reader should care: each assumption examined bears directly on a live frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several are already known to fail as universal statements (anyons in $2+1$ dimensions, quasiparticle dressing, vacuum-dependent particle content, broken ergodicity). Premise-depth disclosure: the treatise introduces no new physical postulate; its unanalyzable primitives — ordinary set theory, the standard model of measurement practice, the requirement of empirical adequacy — are named rather than hidden, and its conclusions are as deep as the published physics they cite. The treatise does not reject any assumption by default and does not endorse any alternative; it maps domains of validity and promotes the assumptions themselves from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---

DOI
10.5281/zenodo.21970736

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A Critical Treatise on the Load-Bearing Assumptions of Quantum Mechanics, Thermodynamics, and Computation

Rowan Brad Quni-Gudzinas

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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This Full Edition expands the v0.1 architecture into the treatise proper: nine parts and fifty-one chapters. Every assumption examined is subjected to a fixed six-step procedure — state the assumption in its strongest form; identify what is built on it; separate confirmed predictions from postulates; list alternatives that preserve the confirmed predictions while relaxing the assumption; define falsifiability conditions; record open questions. Why a reader should care: each assumption examined bears directly on a live frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several are already known to fail as universal statements (anyons in $2+1$ dimensions, quasiparticle dressing, vacuum-dependent particle content, broken ergodicity). Premise-depth disclosure: the treatise introduces no new physical postulate; its unanalyzable primitives — ordinary set theory, the standard model of measurement practice, the requirement of empirical adequacy — are named rather than hidden, and its conclusions are as deep as the published physics they cite. The treatise does not reject any assumption by default and does not endorse any alternative; it maps domains of validity and promotes the assumptions themselves from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---

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A Critical Treatise on the Load-Bearing Assumptions of Quantum Mechanics, Thermodynamics, and Computation

Rowan Brad Quni-Gudzinas

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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This Full Edition expands the v0.1 architecture into the treatise proper: nine parts and fifty-one chapters. Every assumption examined is subjected to a fixed six-step procedure — state the assumption in its strongest form; identify what is built on it; separate confirmed predictions from postulates; list alternatives that preserve the confirmed predictions while relaxing the assumption; define falsifiability conditions; record open questions. Why a reader should care: each assumption examined bears directly on a live frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several are already known to fail as universal statements (anyons in $2+1$ dimensions, quasiparticle dressing, vacuum-dependent particle content, broken ergodicity). Premise-depth disclosure: the treatise introduces no new physical postulate; its unanalyzable primitives — ordinary set theory, the standard model of measurement practice, the requirement of empirical adequacy — are named rather than hidden, and its conclusions are as deep as the published physics they cite. The treatise does not reject any assumption by default and does not endorse any alternative; it maps domains of validity and promotes the assumptions themselves from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---

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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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This edition presents the treatise in full: nine parts and fifty-one chapters, with the assumption audits complete, the object chapters of Parts I–VI in prose, the research programme (Part VIII) and the appendices fully developed, and the remaining chapter expansions tracked in the Research Continuity Registry. Every assumption examined is subjected to a fixed six-step procedure — state the assumption in its strongest form; identify what is built on it; separate confirmed predictions from postulates; list alternatives that preserve the confirmed predictions while relaxing the assumption; define falsifiability conditions; record open questions. Why a reader should care: each assumption examined bears directly on a live frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several are already known to fail as universal statements (anyons in $2+1$ dimensions, quasiparticle dressing, vacuum-dependent particle content, broken ergodicity). Premise-depth disclosure: the treatise introduces no new physical postulate; its unanalyzable primitives — ordinary set theory, the standard model of measurement practice, the requirement of empirical adequacy — are named rather than hidden, and its conclusions are as deep as the published physics they cite. The treatise does not reject any assumption by default and does not endorse any alternative; it maps domains of validity and promotes the assumptions themselves from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---

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A Critical Treatise on the Load-Bearing Assumptions of Quantum Mechanics, Thermodynamics, and Computation

Rowan Brad Quni-Gudzinas

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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 a series of assumptions that are load-bearing but rarely interrogated: the complex Hilbert-space postulate, the spin-statistics theorem's dependence on $3+1$ dimensions and Poincaré invariance, the Archimedean real-number valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed, elementary object rather than a vacuum- and environment-dependent excitation. This treatise does not reject any of these assumptions; it maps them. Each assumption is stated explicitly, the edifices built on it are identified, its confirmed predictions are separated from its postulates, alternative formulations are catalogued, and falsifiability conditions are defined. Why a reader should care: every one of the assumptions examined here bears directly on a live technological or experimental frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several of them (the reality of quasiparticles with fractional charge and statistics, the failure of the spin-statistics theorem in $2+1$ dimensions, the emergence of particles from different vacua) are already known to be false as universal statements. Premise-depth disclosure: the claims of this treatise are analytical and taxonomic rather than axiomatic-deductive; it introduces no new physical postulate, and its conclusions are as deep as the published physics it cites — its own unanalyzable primitives are ordinary set theory, the standard model of measurement practice, and the requirement of empirical adequacy, all named here rather than hidden. The treatise concludes with a consolidated falsifiability map and a registry of open questions, so that the assumptions themselves can be promoted from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---

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A Critical Treatise on the Load-Bearing Assumptions of Quantum Mechanics, Thermodynamics, and Computation

Rowan Brad Quni-Gudzinas

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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This Full Edition expands the v0.1 architecture into the treatise proper: nine parts and fifty-one chapters, each load-bearing assumption audited by a fixed six-step procedure.

•Aug 17, 2026•0 citations
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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This Full Edition expands the v0.1 architecture into the treatise proper: nine parts and fifty-one chapters. Every assumption examined is subjected to a fixed six-step procedure — state the assumption in its strongest form; identify what is built on it; separate confirmed predictions from postulates; list alternatives that preserve the confirmed predictions while relaxing the assumption; define falsifiability conditions; record open questions. Why a reader should care: each assumption examined bears directly on a live frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several are already known to fail as universal statements (anyons in 2+12+12+1 dimensions, quasiparticle dressing, vacuum-dependent particle content, broken ergodicity). Premise-depth disclosure: the treatise introduces no new physical postulate; its unanalyzable primitives — ordinary set theory, the standard model of measurement practice, the requirement of empirical adequacy — are named rather than hidden, and its conclusions are as deep as the published physics they cite. The treatise does not reject any assumption by default and does not endorse any alternative; it maps domains of validity and promotes the assumptions themselves from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---
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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This Full Edition expands the v0.1 architecture into the treatise proper: nine parts and fifty-one chapters. Every assumption examined is subjected to a fixed six-step procedure — state the assumption in its strongest form; identify what is built on it; separate confirmed predictions from postulates; list alternatives that preserve the confirmed predictions while relaxing the assumption; define falsifiability conditions; record open questions. Why a reader should care: each assumption examined bears directly on a live frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several are already known to fail as universal statements (anyons in 2+12+12+1 dimensions, quasiparticle dressing, vacuum-dependent particle content, broken ergodicity). Premise-depth disclosure: the treatise introduces no new physical postulate; its unanalyzable primitives — ordinary set theory, the standard model of measurement practice, the requirement of empirical adequacy — are named rather than hidden, and its conclusions are as deep as the published physics they cite. The treatise does not reject any assumption by default and does not endorse any alternative; it maps domains of validity and promotes the assumptions themselves from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---
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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This Full Edition expands the v0.1 architecture into the treatise proper: nine parts and fifty-one chapters. Every assumption examined is subjected to a fixed six-step procedure — state the assumption in its strongest form; identify what is built on it; separate confirmed predictions from postulates; list alternatives that preserve the confirmed predictions while relaxing the assumption; define falsifiability conditions; record open questions. Why a reader should care: each assumption examined bears directly on a live frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several are already known to fail as universal statements (anyons in 2+12+12+1 dimensions, quasiparticle dressing, vacuum-dependent particle content, broken ergodicity). Premise-depth disclosure: the treatise introduces no new physical postulate; its unanalyzable primitives — ordinary set theory, the standard model of measurement practice, the requirement of empirical adequacy — are named rather than hidden, and its conclusions are as deep as the published physics they cite. The treatise does not reject any assumption by default and does not endorse any alternative; it maps domains of validity and promotes the assumptions themselves from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---
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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This edition presents the treatise in full: nine parts and fifty-one chapters, with the assumption audits complete, the object chapters of Parts I–VI in prose, the research programme (Part VIII) and the appendices fully developed, and the remaining chapter expansions tracked in the Research Continuity Registry. Every assumption examined is subjected to a fixed six-step procedure — state the assumption in its strongest form; identify what is built on it; separate confirmed predictions from postulates; list alternatives that preserve the confirmed predictions while relaxing the assumption; define falsifiability conditions; record open questions. Why a reader should care: each assumption examined bears directly on a live frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several are already known to fail as universal statements (anyons in 2+12+12+1 dimensions, quasiparticle dressing, vacuum-dependent particle content, broken ergodicity). Premise-depth disclosure: the treatise introduces no new physical postulate; its unanalyzable primitives — ordinary set theory, the standard model of measurement practice, the requirement of empirical adequacy — are named rather than hidden, and its conclusions are as deep as the published physics they cite. The treatise does not reject any assumption by default and does not endorse any alternative; it maps domains of validity and promotes the assumptions themselves from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---
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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This edition presents the treatise in full: nine parts and fifty-one chapters, with the assumption audits complete, the object chapters of Parts I–VI in prose, the research programme (Part VIII) and the appendices fully developed, and the remaining chapter expansions tracked in the Research Continuity Registry. Every assumption examined is subjected to a fixed six-step procedure — state the assumption in its strongest form; identify what is built on it; separate confirmed predictions from postulates; list alternatives that preserve the confirmed predictions while relaxing the assumption; define falsifiability conditions; record open questions. Why a reader should care: each assumption examined bears directly on a live frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several are already known to fail as universal statements (anyons in 2+12+12+1 dimensions, quasiparticle dressing, vacuum-dependent particle content, broken ergodicity). Premise-depth disclosure: the treatise introduces no new physical postulate; its unanalyzable primitives — ordinary set theory, the standard model of measurement practice, the requirement of empirical adequacy — are named rather than hidden, and its conclusions are as deep as the published physics they cite. The treatise does not reject any assumption by default and does not endorse any alternative; it maps domains of validity and promotes the assumptions themselves from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability --- Full text and updates: https://papers.qnfo.org/papers/electron-hook-treatise/
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 a series of assumptions that are load-bearing but rarely interrogated: the complex Hilbert-space postulate, the spin-statistics theorem's dependence on 3+13+13+1 dimensions and Poincaré invariance, the Archimedean real-number valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed, elementary object rather than a vacuum- and environment-dependent excitation. This treatise does not reject any of these assumptions; it maps them. Each assumption is stated explicitly, the edifices built on it are identified, its confirmed predictions are separated from its postulates, alternative formulations are catalogued, and falsifiability conditions are defined. Why a reader should care: every one of the assumptions examined here bears directly on a live technological or experimental frontier — energy-efficient computation, topological quantum computing, high-temperature superconductivity, precision metrology, and quantum gravity — and several of them (the reality of quasiparticles with fractional charge and statistics, the failure of the spin-statistics theorem in 2+12+12+1 dimensions, the emergence of particles from different vacua) are already known to be false as universal statements. Premise-depth disclosure: the claims of this treatise are analytical and taxonomic rather than axiomatic-deductive; it introduces no new physical postulate, and its conclusions are as deep as the published physics it cites — its own unanalyzable primitives are ordinary set theory, the standard model of measurement practice, and the requirement of empirical adequacy, all named here rather than hidden. The treatise concludes with a consolidated falsifiability map and a registry of open questions, so that the assumptions themselves can be promoted from articles of faith to objects of experiment. Keywords: quantum foundations, spin-statistics theorem, quasiparticles, Landauer's principle, Ostrowski's theorem, Hilbert space, anyons, thermodynamics of computation, premise depth, falsifiability ---
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 Archimedean valuation of every measured quantity, the thermodynamic foundations of irreversible computation, and the identification of the electron itself as a fixed elementary object rather than a vacuum- and environment-dependent excitation. This Full Edition expands the v0.1 architecture into the treatise proper: nine parts and fifty-one chapters, each load-bearing assumption audited by a fixed six-step procedure.