Double-Slit Interference in USP Field Theory
Year: 2025
Type: report
Abstract: This document reconstructs msf:52060 as the foundation-level USP treatment of double-slit interference while preserving standard wave optics, quantum mechanics, electron optics, scattering theory, phonon physics, and detector theory as the predictive baseline. The central correction is the explicit separation of: carrier frequency, path difference, accumulated phase, coherence, linewidth, detector response, and candidate USP resonance mismatch. For optical interference, the standard intensity structure remains: I = I₁ + I₂ + 2√(I₁I₂)|γ₁₂| cos(Δφ) with fringe spacing determined by wavelength and geometry. For electrons, the matter-wave relation remains: λ_dB = h/p rather than reconstructing electron wavelength from an inappropriate v/f identification. Single detection events remain localized while repeated coherent events recover the standard quantum interference distribution: P(x) = |ψ₁(x) + ψ₂(x)|². USP enters only after this complete baseline. The interpretation treats the two coherent alternatives as accessible resonance-compatible corridors rather than classical particle trajectories. A candidate local corridor mismatch is written: δf_j = f_exc − f_corr,j with the differential mismatch: δf₁₂ = δf₁ − δf₂. If this variable represents a physically calibrated differential phase rate, a candidate USP phase contribution may be written: φ_USP(t) = 2π ∫ δf₁₂(t′) dt′. The full phase ledger is then: Δφ = φ_base + φ_USP where φ_base contains all known geometric, refractive, electrostatic, magnetic, material, source, and instrumental effects. The USP mismatch is therefore not the carrier frequency and is not used to derive the de Broglie wavelength. A normalized candidate mismatch is: χ = δf₁₂ / Γ_eff with Γ_eff independently calibrated or predeclared. A phenomenological visibility weight may be tested, for example: W_USP(χ) = exp(−χ²) but this Gaussian form is explicitly a test ansatz rather than a derived USP law. Other functional forms, including Lorentzian candidates, remain possible and must be compared under predeclared model-selection rules. The measured visibility may then be tested schematically through: V_obs = V_std W_USP(χ) + ε. If the weighting term is statistically unnecessary after the standard model is fitted, the tested USP extension is unsupported. A major 2026 experimental anchor is atomic-scale electron double-slit interferometry in silicon. Two adjacent Si [110] atomic columns separated by approximately 1.36 Å acted as coherent electron channels. The observed high-order interference fringes were reproduced only when correlated lattice vibrations were included realistically. This provides an important physical lesson: large thermal motion does not automatically destroy interference if the relative motion of the two channels remains sufficiently correlated. The relevant environmental quantity is therefore differential disturbance rather than absolute agitation. A relative-motion measure may be represented by: MSRD = ⟨(u₁ − u₂)²⟩. The strongest USP-compatible interpretation of this result is: coherent interference can survive when the relative geometry and phase relationship of accessible channels remain sufficiently constrained. The silicon experiment is not presented as evidence for USP because correlated-phonon electron scattering already provides a successful standard explanation. The document also incorporates a 2026 hard-X-ray momentum-space double-slit result. This demonstrates that interference information can be resolved in reciprocal space without first forming a conventional distant real-space fringe image. The result constrains the meaning of “corridor”: a resonance corridor is an accessible coherent mode or coupling alternative, not necessarily a narrow classical path in ordinary space. Detector effects are handled through a separate calibrated response model: D_std(x) ∫ S(x′) K_det(x−x′) dx′ + B(x). Finite point-spread, efficiency, bandwidth, material response, and background are treated as standard detector physics before any USP detector interpretation is introduced. Detection may be interpreted by USP as localized coupling of an extended pre-detection structure to a detector-compatible material channel, but localized detector events themselves do not distinguish USP from standard quantum measurement. The candidate USP programme is therefore residual-based. The strongest proposed tests are: a transferable differential-mismatch residual; a detector-material residual beyond independently calibrated detector response; cross-condition prediction based on relative channel disturbance; and cross-platform parameter transfer between interferometric systems. A USP result is disfavored if: the standard null model explains the measured phase and visibility; δf₁₂ gives no held-out predictive improvement; Γ_eff requires arbitrary retuning; the effect disappears after detector calibration; ordinary source coherence, dispersion, phonon dynamics, or material physics explains the signal; the functional form is selected post hoc; the predictor is circularly extracted from the outcome; or the residual fails replication. The central v2.0 question is therefore: after the complete standard interference model is calibrated, does an independently measured and transferable resonance-corridor variable predict a reproducible residual? If not, the tested USP extension is constrained or rejected. If yes, and the same mapping transfers across independent conditions, the result becomes a genuinely discriminating target for further study.
Author: Sepehri, Sadegh
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6931226285
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