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International Journal of Theoretical Physics

Quantum Fluctuations and the N-Slit Interference

Jaime Madrid, Jaume Giné, Daniel Chemisana

Published Oct 3, 2020• 1 citation
Publisher
DOI
10.1007/s10773-020-04607-w

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Any polarization state of light occupies intrinsic quantum uncertainties due to the noncommutative behavior of the Stokes operators, which are manifested as unavoidable quantum fluctuations in the corresponding classical Stokes parameters.In this thesis, we explore such quantum polarization uncertainties exhibited by vectorial light fields in Young's seminal double-slit interference experiment.As a main result, by adopting a proper Stokes operator representation of double-slit interference, we establish general quantum polarization uncertainty relations for the Stokes parameters in the observation plane.The relations show how the lower bounds of the polarization uncertainties are periodically varying across the observation screen and how they are affected by the polarization and coherence properties of the light at the two slits.We also present various noncommutative, interlinked connections between coherence and polarization in the slit plane which have not been considered earlier in the literature.Our work sets the fundamental precision limits imposed by quantum physics for characterizing any polarization state in double-slit interference, which could find use in photonic applications exploiting polarimetric and interferometric techniques for high-resolution quantum-enhanced sensing.
Based on the PFUSRC 45° triple coaxial bicone topology, the cone–prism interlayer domain, the Valuation Axiom, the Fault-Tolerance Axiom, and the First Center observational anchoring framework, this paper constructs a unified and complete ontological mechanism for double-slit interference, wavefunction collapse, quantum fluctuation, and decoherence. We demonstrate that quantum fluctuation is not random vacuum noise, but the topological distribution of primordial units driven by Weizhao (the primordial micro-triggering mechanism in PFUSRC topology); interference occurs in the interlayer quasi-void domain rather than standard 4D spacetime; wavefunction collapse is not a stochastic jump, but deterministic topological ownership confirmation under observational anchoring; decoherence corresponds to irreversible steady-state locking. The entire process is governed by the β₁ global coupling field and satisfies the 1→5→11 dimensional evolution sequence and 12:11 universal gauge invariance. This mechanism unifies deterministic global structure and local observational phenomena, provides a complete origin-level interpretation for quantum behavior, and maintains full compatibility with conventional quantum mechanics while offering stricter logical closure.