The Born Rule as a Closed Record Pair: Measurement, Objectivity, and the Arrow of Time in a Quantum-Error-Correcting Substrate

Summary and scope

Within a supplied complex Hilbert-space and quantum-instrument setting, repeatable syndrome readout produces orthogonal record sectors. With the required dimension and additive, non-contextual probability assumptions, Gleason-type reasoning constrains the probability measure. An isometric record map separately displays the quadratic amplitude form, but this is not an independent uniqueness derivation of probabilities. The eight-bit minimum is conditional on the one-code read/write premise; identifying a uniform service weight with the physical fine-structure constant is a further assumption. Neither quantum theory nor the physical interaction strength follows from classical records alone.

Keywords

How to cite

Elliman, D. (2026). The Born Rule as a Closed Record Pair: Measurement, Objectivity, and the Arrow of Time in a Quantum-Error-Correcting Substrate. Neuro-Symbolic Ltd technical report. https://doi.org/10.5281/zenodo.22177177

@techreport{elliman2026bornrule,
  author      = {Elliman, David},
  title       = {The Born Rule as a Closed Record Pair: Measurement, Objectivity, and the Arrow of Time in a Quantum-Error-Correcting Substrate},
  institution = {Neuro-Symbolic Ltd},
  year        = {2026},
  doi         = {10.5281/zenodo.22177177},
  url         = {https://neusym.ai/papers/born_rule/}
}