Observable quantum equilibrium under controlled measurements
In plain wordsIn pilot-wave theory, a departure from the usual quantum statistics can persist while permitted measurements grow blind to it; under a quantified mixing assumption, any complete experimental record, readings and clocks included, can detect it no better than dynamical decay times the record’s sensitivity.
The result
As the paper states it, in briefA microscopic departure from the Born distribution can be conserved while every permitted measurement becomes insensitive to it. Under a quantified mixing hypothesis, the paper bounds how well any complete experimental record, including apparatus readings, clocks and adaptive controls, can tell such an ensemble from equilibrium; a driven Bohmian oscillator and a square-well calculation with 131,072 trajectories make the bounds concrete.
Questionson the index
How this was checked
- The author’s own checks
- The author’s own checks: reproducible sampling and numerical checks for the square-well calculation, as the abstract states.
- Lean
- None.
- Peer review
- Not yet.
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Novelty and credit
- Novelty
- New, with named precedent: Valentini’s subquantum H-theorem and Valentini and Westman’s simulations established a relaxation mechanism; in the paper’s words, its contribution is “a quantitative connection between this observation restriction and concrete experimental resources.”
Versionsone, each with its own DOI
| Version | Date | DOI | Notes |
|---|---|---|---|
| — | 10.5281/zenodo.22778741 |
Paper, code and links
- Paper
On Zenodo: doi:10.5281/zenodo.22778741. No copy is hosted here.
Corrections
None so far.
All corrections, and what counts as one.
Cite
@misc{mghirbi2026observableequilibrium,
author = {Mghirbi, Nidhal},
title = {Observable quantum equilibrium under controlled measurements},
year = {2026},
doi = {10.5281/zenodo.22778741},
url = {https://doi.org/10.5281/zenodo.22778741}
}