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(Archive)Motus Theory II: Numerical Predictions for the Triple-Slit Sorkin Parameter κ

Luna-Baez, Carly

Published Dec 11, 2025• 0 citations
Publisher

Abstract

Motus Theory introduces a novel informational coordinate ξ and a corresponding field M(ξ,t) governing transitions between physical states A→B. The theory proposes an informational geometry that supplements classical and quantum dynamics, generating testable deviations in interference experiments, entropy gradients, and complex classical systems. This work presents the Motus coordinate system, the Motus Field Equation, the Coupling Equation for physical observables, and predictions for double-slit, triple-slit (Sorkin parameter), and classical drift tests. The intent is to formalize an informational dimension that may unify aspects of dynamical, entropic, and geometric evolution across physical scales.(Contact information:carlylunabaez@gmail.com)

DOI
10.5281/zenodo.17904522

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Motus Theory introduces a novel informational coordinate ξ and a corresponding field M(ξ,t) governing transitions between physical states A→B. The theory proposes an informational geometry that supplements classical and quantum dynamics, generating testable deviations in interference experiments, entropy gradients, and complex classical systems. This work presents the Motus coordinate system, the Motus Field Equation, the Coupling Equation for physical observables, and predictions for double-slit, triple-slit (Sorkin parameter), and classical drift tests. The intent is to formalize an informational dimension that may unify aspects of dynamical, entropic, and geometric evolution across physical scales.(Contact information:carlylunabaez@gmail.com)
Motus Theory introduces a novel informational coordinate ξ and a corresponding field M(ξ,t) governing transitions between physical states A→B. The theory proposes an informational geometry that supplements classical and quantum dynamics, generating testable deviations in interference experiments, entropy gradients, and complex classical systems. This work presents the Motus coordinate system, the Motus Field Equation, the Coupling Equation for physical observables, and predictions for double-slit, triple-slit (Sorkin parameter), and classical drift tests. The intent is to formalize an informational dimension that may unify aspects of dynamical, entropic, and geometric evolution across physical scales.(Contact information:carlylunabaez@gmail.com)
Motus Theory introduces a novel informational coordinate ξ and a corresponding field M(ξ,t) governing transitions between physical states A→B. The theory proposes an informational geometry that supplements classical and quantum dynamics, generating testable deviations in interference experiments, entropy gradients, and complex classical systems. This work presents the Motus coordinate system, the Motus Field Equation, the Coupling Equation for physical observables, and predictions for double-slit, triple-slit (Sorkin parameter), and classical drift tests. The intent is to formalize an informational dimension that may unify aspects of dynamical, entropic, and geometric evolution across physical scales.(Contact information:carlylunabaez@gmail.com)
Motus Theory introduces a novel informational coordinate ξ and a corresponding field M(ξ,t) governing transitions between physical states A→B. The theory proposes an informational geometry that supplements classical and quantum dynamics, generating testable deviations in interference experiments, entropy gradients, and complex classical systems. This work presents the Motus coordinate system, the Motus Field Equation, the Coupling Equation for physical observables, and predictions for double-slit, triple-slit (Sorkin parameter), and classical drift tests. The intent is to formalize an informational dimension that may unify aspects of dynamical, entropic, and geometric evolution across physical scales.(Contact information:carlylunabaez@gmail.com)
Motus IV completes the operational formulation of Motus Theory introduced in Motus III. The theory proposes that physical transitions between operationally equivalent states are mediated by a non-temporal informational layer parameterized by an informational coordinate ξ, with an associated transition operator 𝑇 𝑀 T M acting on observables rather than states. This work does not modify the core equations or experimental predictions of Motus III. Instead, it provides operational closure by: (i) classifying the Motus transition operator relative to established frameworks (instrument, control-system, and information-geometric perspectives); (ii) constructing and defeating a maximally adversarial classical null model under fixed experimental constraints; (iii) specifying minimal axioms for the projection map from informational structure to observables; and (iv) identifying a coupled set of decisive experimental signatures, including transition-state compression, ξ-path dependence, informational holonomy, and time-reversal invariance. Motus IV is falsifiable in principle and in practice. Failure of the proposed low-cost laboratory tests under the stated controls falsifies the hypothesis of an out-of-time informational transition layer. The work is intended as an operational and experimental framework rather than a speculative embedding into fundamental spacetime theories.
IFT-ISE is a unified quantum–informational framework in which wave–particle behavior emerges from the interaction between informational structure, geometry, and time. The model extends the standard photonic Hilbert space by introducing an internal informational subsystem, not as a new force or interaction, but as a generator of relational constraints. The framework combines Informational Field Theory (IFT)—where spatial probability distributions arise from local informational entropy gradients—with Internal State Encoding (ISE), a discrete informational basis governing the accessibility of particle-like states. Within this perspective, informational asymmetry does not induce collapse through measurement, but generates relational time and state distinguishability within the local informational geometry. Since photons possess no proper time, the emergence of even minimal relational time renders wave-like propagation incompatible, enforcing particle-like behavior without invoking observer-induced collapse. This reinterpretation provides a physically transparent explanation for the extreme sensitivity of the double-slit experiment to infinitesimal which-path information. IFT-ISE reconstructs the double-slit experiment, predicts upstream coherence modulation prior to slit interaction, and extends naturally to black-hole horizons, where extreme informational geometry suppresses temporal accessibility and amplifies informational structure. Mathematical derivations, conceptual diagrams, and experimentally testable predictions are provided, offering a coherent informational foundation for quantum optical and gravitational boundary phenomena.
We present a mathematically rigorous five-dimensional extension of spacetime inwhich the extra dimension is a physical angular coordinate Θ ∈ [0, 2π). This “realmspace” geometry explains quantum interference, nonlocal correlations, and measurement collapse as deterministic geometric effects. Wavefunctions occupy multiple Θmodes in free evolution, while measurement corresponds to sharp localization in Θ. Weprovide a complete Fourier decomposition of the 5D wavefunction, show how the 4Dinterference pattern emerges via integration over Θ, and rigorously demonstrate how localization removes interference. The double-slit experiment is derived fully within thisframework, providing a definitive geometric interpretation that reproduces all standardquantum predictions while offering a clear explanation for the apparent paradoxes ofquantum mechanics