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Resolving Quantum Paradoxes via Causal Smoothing: The Double-Slit, Wave Function Collapse, and Topological Chiral Symmetry

Tamoor .A Zaidi

Published Jul 21, 2026• 0 citations
Publisher

Abstract

Building upon the unified 4D geometry of the Causal Smoothing Framework, this paper resolves three foundational paradoxes of quantum mechanics: wave-particle duality in the double-slit experiment, the measurement problem (wave function collapse), and the origin of particle-antiparticle asymmetry. By defining particles as time-like topological knots (ds² < 0) and quantum fields as the deterministic causal smoothing of vacuum momentum fluxes along the null boundary (ds² = 0), this framework discards probabilistic observer-driven collapse. The double-slit experiment is analyzed under two distinct boundary conditions (continuous emission and single-particle emission), demonstrating that quantum statistics are simply the macroscopic interference of vacuum geometry guiding discrete knots through a chaotic ER=EPR substrate. Furthermore, the framework provides a strict geometric proof for why fermions require distinct antiparticles while gauge bosons act as their own antiparticles, rooted entirely in the chiral phase of the localized metric shear.

DOI
10.5281/zenodo.21470347

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Building upon the unified 4D geometry of the Causal Smoothing Framework, this paper resolves three foundational paradoxes of quantum mechanics: wave-particle duality in the double-slit experiment, the measurement problem (wave function collapse), and the origin of particle-antiparticle asymmetry. By defining particles as time-like topological knots (ds² < 0) and quantum fields as the deterministic causal smoothing of vacuum momentum fluxes along the null boundary (ds² = 0), this framework discards probabilistic observer-driven collapse. The double-slit experiment is analyzed under two distinct boundary conditions (continuous emission and single-particle emission), demonstrating that quantum statistics are simply the macroscopic interference of vacuum geometry guiding discrete knots through a chaotic ER=EPR substrate. Furthermore, the framework provides a strict geometric proof for why fermions require distinct antiparticles while gauge bosons act as their own antiparticles, rooted entirely in the chiral phase of the localized metric shear.
This paper offers a strictly deterministic and causal resolution to the iconic Double-Slit Experiment, eradicating the need for the mysticism inherent in the "observer effect" and classical wave-particle duality. Using the Quantum Diffusion (QD) framework, it is shown that the particle does not possess a dual nature, but is invariably a topological perturbation (tensor wave) of the 12-dimensional subspace 𝐹μν. The interference pattern arises from the flow of this perturbation through channels of high spatial diffusivity 𝐷. Furthermore, it is shown that the "wavefunction collapse" induced by a detector is not a product of conscious observation, but rather of the physical injection of gauge asymmetry and electromagnetic friction into the slits, which drastically alters the local diffusivity gradient, destroying the geometric coherence of the tensor wave and forcing a localized trajectory.
This treatise delivers the definitive mathematical physics formulation to resolve the foundational quantum measurement paradox and wave-particle duality anomalies inherent in the classical Double-Slit Experiment. Traditional quantum mechanics relies on probabilistic wave-function collapse formalisms that introduce unphysical non-local discontinuities during detector interactions (t -> 0). Operating within the multi-dimensional framework of Trans-Planckian Horizon Lock Mechanics (TPHLM), we resolve these observational anomalies by executing a rigorous multi-loop tensor regularization under the global metric scale factor of the Khandey Causal Invariant Constant (K_J = 2.02 x 10^26 m). We prove that the apparent wave-to-particle transition is an artifact of localized Riemannian curvature constraints locked into the chrono-hydrodynamic mesh of the slit geometry. This framework satisfies absolute diffeomorphism Ward-Khandey identities, eliminating mathematical singularities across an absolute 0.0000000000000000% error baseline compatible with quantum supercomputing arrays.
Abstract We resolve the foundational mystery of the double-slit experiment within the Generalized Mass as Twisted Time (G-MaTT) framework. In G-MaTT, a particle is a stable topological knot in the emergent mass-torsional field ((\hat{M}_\mu)). Because time is explicitly defined as the phase evolution of this field, a spatial split of the field configuration at the slits forces an immediate temporal branching into two synchronized temporal streams. Quantum superposition is therefore revealed to be the physical branching of time along multiple paths. Interference arises naturally when these phase-synchronized time-branches structurally recombine at a detection plane. Wavefunction collapse occurs exclusively if a measurement interaction introduces a phase mismatch, triggering the Twist–Untwist (TUT) mechanism and causing geometric desynchronization of the temporal branches. This provides a causal, deterministic, and geometric account of wave-particle duality validated across quantum eraser, Bell, and GHZ architectures without invoking parallel universes or non-local collapse.
The double-slit experiment remains the empirical foundation of wave–particle duality. While standard quantum mechanics successfully predicts interference patterns via wave-function evolution and attributes the loss of interference to “decoherence,” it lacks a physical ontology. The Copenhagen interpretation and subsequent models offer mathematical descriptions of probability without identifying the underlying mechanical cause. This paper asserts that quantum mechanics is not a departure from physical realism but the statistical consequence of subatomic hydrodynamics. Under the Quantum Vector Time Field (QVTF) framework, the vacuum is modelled not as an empty geometry but as a continuous, highly pressurised superfluid medium. Subatomic masses are defined as topological vortex-solitons that generate continuous pilot-waves through this medium. We demonstrate that double-slit interference is the strict result of classical hydrodynamic steering, and we define quantum “decoherence” not as mathematical entanglement but as the physical destruction of the guiding wave structure via turbulent injection of measurement probes. By treating the vacuum as a physical fluid, the epistemological paradoxes of quantum mechanics are resolved into deterministic mechanics.
The double-slit experiment stands as the cornerstone of quantum mysticism, often interpreted as evidence for particles existing in multiple places simultaneously or consciousness collapsing reality. Within the Absolute Medium (AM) Model, this experiment ceases to be a probabilistic paradox and becomes a deterministic, fluid-dynamic interaction between a moving excitation and the universal energetic net. We demonstrate that what standard physics calls “wave-particle duality” is actually “core-wake duality”: a localized topological defect (the core) moving through an ultra-dense elastic substrate generates a physical wave field (the wake) that interferes, guiding the core along paths of least resistance. All variations of the experiment— which-way measurements, delayed choice, quantum eraser—receive mechanical explanations grounded in the medium’s properties. This framework eliminates the need for superposition, wavefunction collapse, or observer-created reality, replacing them with the coherent dynamics of a continuous medium.
For exactly one century, the standard interpretation of quantum mechanics has conflated predictive statistical mathematics with physical ontology. By mistaking a mathematical map of probabilities for the physical territory of reality, twentieth-century physics enshrined Wave-Particle Duality and Wave-Function Collapse as fundamental tenets of nature, abandoning physical determinism for phenomenological mysticism. This repository contains the formal manuscript and executable visual proofs demonstrating that the paradox of Young's Double Slit experiment is entirely resolvable via macroscopic fluid thermodynamics. Utilizing the Informational Constraint Framework (ICF) and Macroscopic Relaxation Theory, we demonstrate that the electron is not a shape-shifting probability cloud, but a highly compressed, localized macroscopic geometry (the Core) propagating a continuous thermodynamic strain-gradient (the Wake) through a spatial substrate of strictly finite data-processing capacity. The Axiom of Propagation: The Wake shapes the terrain; the Core rides the terrain. By decoupling the Core from the Wake, this paper systematically derives single-slit kinematics, double-slit interference, the fundamental zero-mass nature of the photon, and the true physical reality of the "Observer Effect" strictly through the deterministic actions of continuous fluid topology. The cathedral of quantum probability is conceptually obsolete; it is herein mathematically replaced by the macroscopic thermodynamics of the spatial vacuum. Repository Contents: The_Double_Slit_Falsification.pdf: The complete theoretical manuscript, including the cross-domain unified index. icf_double_slit_animator.py: The executable Python script containing the macroscopic fluid topology animation proof. Double_Slit_Interference.gif & Single_Slit_Substrate_Strain.gif: High-resolution animated proofs of the Core/Wake topology. Double_Slit_Storyboard.png: High-resolution diagram of the topological phases.