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QFT double slit experiment resolved

Wolford, Charles

Published Dec 16, 2025• 0 citations
Publisher

Abstract

This work presents a canonical General Relativity–Clock Shift (GR-CS) interpretation of the double-slit experiment that preserves all standard quantum and quantum-field-theoretic predictions while replacing ambiguous measurement language with a geometric criterion. In GR-CS, space is static and non-gravitating, and the only geometric degree of freedom is the scalar clock-rate field N(x). A single photon is emitted and absorbed once and never splits; interference arises from the coherent evolution of an unanchored quantum field amplitude constrained by slit boundary conditions, not from a particle traversing multiple paths. Prior to detection, the excitation carries no proper time and does not couple to the clock field (J_N = 0). Measurement corresponds to clock anchoring: a physical transition in which energy becomes bound into matter, acquires proper time, produces a localized classical record, and terminates coherent evolution (J_N \neq 0). Which-path detection suppresses interference because anchoring occurs upstream, not because of observer knowledge or information gain. This paper provides explicit definitions of anchored and unanchored sectors, a minimal detector model, a density-matrix mapping of coherence loss to anchoring, and an optional connection to path-integral and QFT formulations on a static clock-field background.

DOI
10.5281/zenodo.17956401

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This work presents a canonical General Relativity–Clock Shift (GR-CS) interpretation of the double-slit experiment that preserves all standard quantum and quantum-field-theoretic predictions while replacing ambiguous measurement language with a geometric criterion. In GR-CS, space is static and non-gravitating, and the only geometric degree of freedom is the scalar clock-rate field N(x). A single photon is emitted and absorbed once and never splits; interference arises from the coherent evolution of an unanchored quantum field amplitude constrained by slit boundary conditions, not from a particle traversing multiple paths. Prior to detection, the excitation carries no proper time and does not couple to the clock field (J_N = 0). Measurement corresponds to clock anchoring: a physical transition in which energy becomes bound into matter, acquires proper time, produces a localized classical record, and terminates coherent evolution (J_N \neq 0). Which-path detection suppresses interference because anchoring occurs upstream, not because of observer knowledge or information gain. This paper provides explicit definitions of anchored and unanchored sectors, a minimal detector model, a density-matrix mapping of coherence loss to anchoring, and an optional connection to path-integral and QFT formulations on a static clock-field background.
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Canonical slit-based photon experiments are commonly described through wave–particle terminology and measurement-based narratives. Here we present a physically conservative reformulation grounded in geometry-conditioned propagation, detector-induced modification of slit-conditioned fields, operational phase-accessibility, and comparative throughput control, without modifying standard quantum-optical formalism. Within a unified field-based representation, the detected intensity is decomposed into a geometry-conditioned contribution and a phase-sensitive cross contribution, while detector interaction is treated as acting at two distinct structural levels: through a detector-induced transfer factor Λ, which modifies the slit-conditioned field itself prior to screen formation, and through a phase-accessibility factor V, which governs the observable weighting of the phase-sensitive cross term. A further distinction is introduced through the comparative flux variable Φ, which controls whether differences between configurations should be interpreted structurally or merely as consequences of unequal throughput. In this framework, geometric incidence α produces deterministic phase re-referencing, finite structural thickness t produces intra-path phase redistribution, and residual comparison through ΔI(θ) provides a quantitative test of whether detector-associated double-slit patterns are strictly reducible to true single-slit limits under matched geometric and flux conditions. The formulation also predicts experimentally resolvable visibility changes arising from spatial averaging under controlled angular-distribution conditions, even when phase-accessibility remains maximal. Fully consistent with decoherence theory and standard quantum optics, this framework provides an operationally testable basis for separating geometric, structural, coherence-level, and throughput effects in canonical photon interference experiments.
Canonical slit-based photon experiments are commonly described through wave–particle terminology and measurement-based narratives. Here we present a physically conservative reformulation grounded in geometry-conditioned propagation, detector-induced modification of slit-conditioned fields, operational phase-accessibility, and comparative throughput control, without modifying standard quantum-optical formalism. Within a unified field-based representation, the detected intensity is decomposed into a geometry-conditioned contribution and a phase-sensitive cross contribution, while detector interaction is treated as acting at two distinct structural levels: through a detector-induced transfer factor Λ, which modifies the slit-conditioned field itself prior to screen formation, and through a phase-accessibility factor V, which governs the observable weighting of the phase-sensitive cross term. A further distinction is introduced through the comparative flux variable Φ, which controls whether differences between configurations should be interpreted structurally or merely as consequences of unequal throughput. In this framework, geometric incidence α produces deterministic phase re-referencing, finite structural thickness t produces intra-path phase redistribution, and residual comparison through ΔI(θ) provides a quantitative test of whether detector-associated double-slit patterns are strictly reducible to true single-slit limits under matched geometric and flux conditions. The formulation also predicts experimentally resolvable visibility changes arising from spatial averaging under controlled angular-distribution conditions, even when phase-accessibility remains maximal. Fully consistent with decoherence theory and standard quantum optics, this framework provides an operationally testable basis for separating geometric, structural, coherence-level, and throughput effects in canonical photon interference experiments.
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Light is never observed in transit. We see it only at the moment it is emitted and at the moment it is absorbed, with no evidence of anything occurring in between. This simple fact, combined with the constancy of the speed of light, implies that a photon experiences zero proper time between emission and detection. Once this is taken seriously, the classical picture of a photon occupying intermediate positions or following definite paths becomes unnecessary. This paper presents a clear and accessible account of the double‑slit experiment based on this geometric insight. The interference pattern is not produced by a photon “exploring” multiple routes, but by the structure of the experimental setup itself. Each detection event is one sample drawn from a distribution fixed by the context—just as a single arrow on a target reflects, but does not define, the underlying distribution of possible hits. Using Feynman’s amplitude rules and a relational interpretation developed in earlier work, we show how the observed pattern arises without invoking motion through space or physical waves passing through both slits. The result is a simple, coherent picture that remains faithful to both relativity and quantum mechanics while being understandable to motivated high‑school students. Version 1.2 (October 2026). Corrects the Lorentz-transformation derivation in Appendix A. A sign error in the left-moving light-pulse condition (Eq. 8) had produced a degenerate transformation. The corrected equations give t′ = αt + βx and x′ = c²βt + αx; reciprocity and spatial isotropy fix α² − c²β² = 1, establishing the invariance of c²dt² − dx². The standard proper-time formula and double-slit amplitude calculations are unchanged. A new note to the reader clarifies that zero proper time motivates, but does not derive, the relational interpretation: photons have no rest frame, and massive particles such as electrons also exhibit interference.