Two-Arm Phase Prediction with Base-12 Geometry and Modular Constraints

This work presents a novel method for predicting relative quantum or classical phase shifts in a two-arm interferometric system with 90° separation using a discrete base-12 framework. By representing phase angles as modular ticks (30° per tick), the model simplifies prediction via modular arithmetic and a lookup table derived from geometric constraints. This approach enables exact phase class identification from a single intensity measurement and supports time-evolution forecasting with minimal computational overhead. The method offers a clean alternative to continuous-wave or Bayesian models, and aligns naturally with harmonic and geometric phase theory.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-08-08
DOI
https://doi.org/10.5281/zenodo.16775669
Primary Topic
Advanced X-ray Imaging Techniques
Type
article
Field-Weighted Citation Impact
0.00
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article

Two-Arm Phase Prediction with Base-12 Geometry and Modular Constraints

Zenodo (CERN European Organization for Nuclear Research)
Advanced X-ray Imaging Techniques
article

Two-Arm Phase Prediction with Base-12 Geometry and Modular Constraints

article en

Abstract

This work presents a novel method for predicting relative quantum or classical phase shifts in a two-arm interferometric system with 90° separation using a discrete base-12 framework. By representing phase angles as modular ticks (30° per tick), the model simplifies prediction via modular arithmetic and a lookup table derived from geometric constraints. This approach enables exact phase class identification from a single intensity measurement and supports time-evolution forecasting with minimal computational overhead. The method offers a clean alternative to continuous-wave or Bayesian models, and aligns naturally with harmonic and geometric phase theory.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 45%
Advanced X-ray Imaging Techniques
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Two-Arm Phase Prediction with Base-12 Geometry and Modular Constraints · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS