Phase_Stepping and Probability_Process Rules, Exemplars, and Outcome Predictions

This manuscript codifies a geometry-first workflow for quantum interference and tunneling experiments, unifying “phase-stepping” rules with a clear separation between selection and realization in probabilistic modeling. Twelve operational rules—augmented by a cone-accounting addendum (5′)—link boundary rays, short-stop planes, and ring footprints to downstream outcomes. Probability roles are organized into Born probability (event weights), directive probability (constraint-selected candidates), range probability (region-limited selection), and post-selected operational ensembles. Three worked exemplars—Caltech/Princeton-style offset geometry, single-cone tunneling with barrier footprints, and a double-slit with center post—demonstrate ridge formation, Z-tension hotspots, and forward S→T₁→T predictions without far-field back-inference. Closed-form relations (e.g., ring diameter 2Ltan⁡θ2L\tan\theta2Ltanθ) provide metrology for detector placement and tolerance propagation. The framework yields testable outcome predictions and a practical playbook for designing, calibrating, and interpreting experiments that mix interference, truncation, and controlled re-emits.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-10
DOI
https://doi.org/10.5281/zenodo.16790606
Primary Topic
Quantum Mechanics and Applications
Type
article
Field-Weighted Citation Impact
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article

Phase_Stepping and Probability_Process Rules, Exemplars, and Outcome Predictions

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
article

Phase_Stepping and Probability_Process Rules, Exemplars, and Outcome Predictions

article en

Abstract

This manuscript codifies a geometry-first workflow for quantum interference and tunneling experiments, unifying “phase-stepping” rules with a clear separation between selection and realization in probabilistic modeling. Twelve operational rules—augmented by a cone-accounting addendum (5′)—link boundary rays, short-stop planes, and ring footprints to downstream outcomes. Probability roles are organized into Born probability (event weights), directive probability (constraint-selected candidates), range probability (region-limited selection), and post-selected operational ensembles. Three worked exemplars—Caltech/Princeton-style offset geometry, single-cone tunneling with barrier footprints, and a double-slit with center post—demonstrate ridge formation, Z-tension hotspots, and forward S→T₁→T predictions without far-field back-inference. Closed-form relations (e.g., ring diameter 2Ltan⁡θ2L\tan\theta2Ltanθ) provide metrology for detector placement and tolerance propagation. The framework yields testable outcome predictions and a practical playbook for designing, calibrating, and interpreting experiments that mix interference, truncation, and controlled re-emits.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 62%
Quantum Mechanics and Applications
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