Checking the Foundations of Physics

In the paper's words

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. [...]

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

1. Electron spin in gate-defined quantum dots: single- and two-qubit fidelities above 99.9%; the leading silicon-based route.

   from 16.1 Spin qubits

2. Fidelities are the highest demonstrated (two-qubit gates > 99.9%); coherence limits are set by dielectric loss and quasiparticle poisoning — the unpaired electrons that thermodynamics will not fully eliminate.

   from 16.2 Superconducting qubits

3. No signal; the bound $|d_e| \lt 4.1\times10^{-30}\ e\cdot\mathrm{cm}$ (ACME) is the tightest constraint on $T$-violation in a lepton.

   from 1.2 Measured properties

4. Stability lower bound $\tau \gt 6.6\times10^{28}\ \mathrm{yr}$ (Borexino); no compositeness down to $10^{-19}\ \mathrm{m}$.

   from 1.2 Measured properties

5. The tightest known constraints come from triple-slit-class experiments, which bound deviations from complex amplitudes at the $10^{-4}$–$10^{-6}$ level.

   from 6.2 Quaternionic quantum mechanics

6. Quantum mechanics per finite causal region: the covariant entropy bound (Chapter 39) implies that the accessible Hilbert space of any finite region is finite-dimensional, bounded by $e^{A/4}$ in Planck units.

   from 6.5 Finite-dimensional Hilbert spaces

How it is done

1. 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.

   from Abstract

2. It carries the precision tests of quantum electrodynamics, the entire edifice of solid-state electronics, the thermodynamic limits of computation, and — through the spin-statistics theorem — the stability of matter itself.

   from Why the electron?

3. Mapping those edges is not disloyalty; it is the ordinary scientific procedure by which domains of validity are established rather than assumed.

   from The danger of treating frameworks as dogma

4. Theorem — a statement derived within a framework from its postulates.

   from Notation and Conventions

What would falsify it

1. Q7.5 Is every physical observable a PVM; or are POVMs fundamental?

   from Chapter 7 — Falsifiability and Open Questions

2. Q28.4 Are there observable consequences of treating the electron as a quasiparticle in high-energy physics?

   from Chapter 28 — Open Questions

3. The treatise's procedural premise is simple: anything load-bearing that is not experimentally established is a postulate, and postulates deserve falsifiability conditions.

   from 44.1 Every load-bearing assumption is a falsifiable postulate

Where the claim stops

1. 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.

   from Abstract

2. 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.

   from Abstract

3. 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.

   from Abstract

Where to read

1. Abstract311 words · 1 min
2. Preface370 words · 2 min
3. Acknowledgments34 words · 1 min
4. Notation and Conventions125 words · 1 min
5. Introduction276 words · 1 min
6. Part I — The Electron as Known and as Probe801 words · 3 min
7. Part II — Hilbert Space Dogma and Its Alternatives1,743 words · 8 min
8. Part III — Spin, Statistics, and the Pauli Exclusion Principle1,384 words · 6 min
9. Part IV — The Electron in Thermodynamics and Computation1,049 words · 5 min
10. Part V — Measurement Theory and Valuation Structure1,892 words · 8 min
11. Part VI — Vacuum, Dimensionality, Holography, and Emergence1,508 words · 7 min
12. Part VII — Cross-Cutting Foundational Assumptions2,161 words · 9 min