On the Born Rule: Projection, Coherence and the Emergence of Quantum Probability
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| Název: | On the Born Rule: Projection, Coherence and the Emergence of Quantum Probability |
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| Autoři: | Toupin, Daniel, orcid:0009-0003-7682- |
| Informace o vydavateli: | Zenodo |
| Rok vydání: | 2025 |
| Sbírka: | Zenodo |
| Témata: | Born rule, measurement problem, quantum probability, quantum information, Golden Theory, wavefunction, collapse of the wavefunction, wavefunction collapse, many worlds, quantum mechanics, theoretical physics, coherence, conformal boundary, unified physics, first principles, projection geometry, quantum foundations, symmetry breaking, projection operator, quantum coherence, interference patterns, observer emergence, probability amplitude, wavefunction realism, quantum emergence |
| Popis: | We present a first-principles derivation of the Born rule as a geometric consequence of projection-based golden theoretic physics. In this framework, quantum probability emerges from the coherent overlap between interference-stable boundary modes and projection kernels mapped from a static, timeless, fully symmetric, scale-invariant conformal boundary. Rather than postulating probability axiomatically, we show that the squared modulus of the probability amplitude arises naturally from the geometry of projection itself. This approach resolves the quantum measurement problem without invoking collapse or many-worlds branching, reinterpreting quantum probabilities as coherence weights in informational projection. The Born rule is shown to be an inevitable result of the geometry underlying emergent quantum fields, spacetime, observers and measurement. This paper builds on the foundational projection framework introduced in The Mathematical Principles of Natural Philosophy: On the Origin of Spacetime and extends its implications into the core foundations of quantum mechanics. Author: Daniel Toupin 📧 dantoupin85@gmail.com 🔗 orcid:0009-0003-7682-9579 |
| Druh dokumentu: | text |
| Jazyk: | English |
| Relation: | https://zenodo.org/communities/gpp/; https://zenodo.org/records/15705495; oai:zenodo.org:15705495; https://doi.org/10.5281/zenodo.15705495 |
| DOI: | 10.5281/zenodo.15705495 |
| Dostupnost: | https://doi.org/10.5281/zenodo.15705495 https://zenodo.org/records/15705495 |
| Rights: | Creative Commons Attribution 4.0 International ; cc-by-4.0 ; https://creativecommons.org/licenses/by/4.0/legalcode ; Copyright (C) 2025 Daniel Toupin |
| Přístupové číslo: | edsbas.8B9E8763 |
| Databáze: | BASE |
Nájsť tento článok vo Web of Science | Abstrakt: | We present a first-principles derivation of the Born rule as a geometric consequence of projection-based golden theoretic physics. In this framework, quantum probability emerges from the coherent overlap between interference-stable boundary modes and projection kernels mapped from a static, timeless, fully symmetric, scale-invariant conformal boundary. Rather than postulating probability axiomatically, we show that the squared modulus of the probability amplitude arises naturally from the geometry of projection itself. This approach resolves the quantum measurement problem without invoking collapse or many-worlds branching, reinterpreting quantum probabilities as coherence weights in informational projection. The Born rule is shown to be an inevitable result of the geometry underlying emergent quantum fields, spacetime, observers and measurement. This paper builds on the foundational projection framework introduced in The Mathematical Principles of Natural Philosophy: On the Origin of Spacetime and extends its implications into the core foundations of quantum mechanics. Author: Daniel Toupin 📧 dantoupin85@gmail.com 🔗 orcid:0009-0003-7682-9579 |
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| DOI: | 10.5281/zenodo.15705495 |