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PreprintCC BY 4.0arXiv

On the Completeness of Quantum Mechanics: Sources, Records and Probabilities

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.

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BibTeX
@misc{bakr2026completeness,
  title = {{On the Completeness of Quantum Mechanics: Sources, Records and Probabilities}},
  author = {Mustafa Bakr},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.05153},
  eprint = {2610.05153},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.05153},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On the Completeness of Quantum Mechanics: Sources, Records and Probabilities
AU  - Mustafa Bakr
PY  - 2026
DA  - 2026/10/04
PB  - arXiv
DO  - 10.48550/arxiv.2610.05153
UR  - https://arxiv.org/abs/2610.05153
AB  - 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.
ER  -