aiqbench analysis
This paper investigates the algebraic closure of quantum predictions by reconstructing Born probabilities without invoking wavefunction collapse, offering a rigorous mathematical framework to resolve foundational paradoxes. By distinguishing between coherent processes and retained records, it challenges the necessity of fundamental collapse postulates in standard quantum mechanics. The work advances theoretical understanding of whether mathematics or source architectures emerge from deeper structural principles within quantum theory.
On the Completeness of Quantum Mechanics: Sources, Records and Probabilities
arXiv:2610.05153v1 Announce Type: new Abstract: Can quantum mechanics be complete without being fundamental? Under stated source, detector, and statistical conditions, we reconstruct the quantum representation and Born probabilities and prove complete algebraic closure of the admitted quantum predictions without requiring a collapse postulate. We further show that many familiar quantum paradoxes arise from conflating coherent processes with retained records or probabilities with realized outcomes. We also ask whether mathematics as a whole, or the source architecture itself, emerges from a deeper structure.
Abstract:Can quantum mechanics be complete without being fundamental? Under stated source, detector, and statistical conditions, we reconstruct the quantum representation and Born probabilities and prove complete algebraic closure of the admitted quantum predictions without requiring a collapse postulate. We further show that many familiar quantum paradoxes arise from conflating coherent processes with retained records or probabilities with realized outcomes. We also ask whether mathematics as a whole, or the source architecture itself, emerges from a deeper structure.
arXiv:2610.05153 [quant-ph]
(or arXiv:2610.05153v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2610.05153 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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Full text under the publisher's open licence · 168 words
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