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A Hypothesis on the Torsional Oscillation and Wave-Line Undulation of the Polarization Axis in Entangled Photon Systems: Addressing the Logical Boundary of Indirect Elimination in Quantum Non-locality

Dong Woo Kwak

Published Jul 20, 2026• 0 citations
Publisher

Abstract

When watching a magic trick, audience members know that what they see is not objective reality, even if they do not know the underlying mechanism. Despite not knowing the trick, they confidently state, "The magic is an illusion." Ironically, physicists—who ought to be the most rational and logical—interpret the exact same phenomenon of "quantum entanglement and superposition" in reverse: "Because it is completely incomprehensible, it must be the objective reality." They even claim that instantaneous simultaneity across the distance of the Andromeda galaxy is a physical fact. This paper reveals the true physical mechanism behind the "magic" of quantum entanglement and superposition. To explain the origin of quantum superposition, physicists should not rely on the violation of Bell's inequality; they need only uncover the structural, physical differences between a standard photon and a photon forcibly split by a laser via Spontaneous Parametric Down-Conversion (SPDC). Put simply: garbage in, garbage out. By demonstrating that the severe transverse impulse exerted during SPDC splitting remains preserved in the complete absence of external environmental interference or wave-damping, this study formulates the resulting torsional oscillation and 3D wave-line undulation of the polarization axis. We prove that the velocity distribution of this simple harmonic motion (SHM) geometrically yields the exact sin²θ quantum statistical correlation, fully reducing quantum entanglement to classical local realism without invoking superluminal non-locality or wave-function collapse.

DOI
10.5281/zenodo.21451536

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When watching a magic trick, audience members know that what they see is not objective reality, even if they do not know the underlying mechanism. Despite not knowing the trick, they confidently state, "The magic is an illusion." Ironically, physicists—who ought to be the most rational and logical—interpret the exact same phenomenon of "quantum entanglement and superposition" in reverse: "Because it is completely incomprehensible, it must be the objective reality." They even claim that instantaneous simultaneity across the distance of the Andromeda galaxy is a physical fact. This paper reveals the true physical mechanism behind the "magic" of quantum entanglement and superposition. To explain the origin of quantum superposition, physicists should not rely on the violation of Bell's inequality; they need only uncover the structural, physical differences between a standard photon and a photon forcibly split by a laser via Spontaneous Parametric Down-Conversion (SPDC). Put simply: garbage in, garbage out. By demonstrating that the severe transverse impulse exerted during SPDC splitting remains preserved in the complete absence of external environmental interference or wave-damping, this study formulates the resulting torsional oscillation and 3D wave-line undulation of the polarization axis. We prove that the velocity distribution of this simple harmonic motion (SHM) geometrically yields the exact sin²θ quantum statistical correlation, fully reducing quantum entanglement to classical local realism without invoking superluminal non-locality or wave-function collapse.
Modern quantum information science and mainstream microphysics have persistently concluded that micro-particles remain in an entangled, non-local superposition prior to measurement, relying on the violation of Bell’s inequality as definitive proof. However, this interpretation is strictly bound by the logical limitation of 'proof by elimination' (an indirect alibi-elimination framework). This study introduces a novel deterministic and localized causal mechanics model addressing the severe geometric impulses exerted during the destructive parametric splitting of a single photon within Spontaneous Parametric Down-Conversion (SPDC). We propose a unified mechanism: the 'torsional elastic oscillation of the polarization axis' at the localized bifurcation boundary, which subsequently propagates longitudinally along the electromagnetic wave-line, developing a spatial 'fin-like or ribbon-like undulation pattern.' Operating under simple harmonic motion (SHM), this torsional oscillation inherently possesses an anisotropic phase velocity, maximizing the temporal stay probability density at the turnaround geometric thresholds where the velocity converges to zero. By deriving the time-averaged probability density function in relation to randomized measurement timings, we mathematically demonstrate that this dynamic phase distribution inevitably yields a geometric sin²θ statistical projection. Consequently, the statistical correlation of quantum entanglement is successfully reduced to classical local realism and action-reaction synchronization without invoking superluminal non-locality or non-deterministic wave-function collapse. Finally, this paper addresses the unexamined experimental gap ignored due to axiomatic dogmas and demands the establishment of an ultra-fast time-resolved optical protocol to empirically detect the micro-dynamic undulations of single photons.
This paper raises a fundamental geometric question regarding the long-held assumption in Bell's inequality experiments: "Photons generated via Spontaneous Parametric Down-Conversion (SPDC) are physically identical to ordinary single photons." Defining an electromagnetic wave not as a point-like particle or a probability cloud, but as a continuous Flux-line Complex possessing tension, we propose that the energy-splitting process inside a non-linear crystal induces an irreversible Transverse Secondary Oscillation ("S-shaped body oscillation") onto the photon's electromagnetic field itself, distinguishing it from a pure sinusoidal wave. This mechanism is physically analogous to an arrow oscillating transversely along its line of flight after receiving an impulse upon release. The spatial mode-filtering procedures (e.g., single-mode fiber coupling) conducted by mainstream physics do not prove the identity of the two photon types; rather, they constitute a form of observational interference and Selection Bias that discards photons possessing intrinsic secondary oscillations. Although undetected by macroscopic single-photon counters, this transverse micro-oscillation acts as a Local Hidden Variable that modifies polarization transmission probabilities, providing a legitimate physical ground to re-evaluate the non-locality interpretation of quantum mechanics.
This paper raises a fundamental geometric question regarding the long-held assumption in Bell's inequality experiments: "Photons generated via Spontaneous Parametric Down-Conversion (SPDC) are physically identical to ordinary single photons." Defining an electromagnetic wave not as a point-like particle or a probability cloud, but as a continuous Flux-line Complex possessing tension, we propose that the energy-splitting process inside a non-linear crystal induces an irreversible Transverse Secondary Oscillation ("S-shaped body oscillation") onto the photon's electromagnetic field itself, distinguishing it from a pure sinusoidal wave. This mechanism is physically analogous to an arrow oscillating transversely along its line of flight after receiving an impulse upon release. The spatial mode-filtering procedures (e.g., single-mode fiber coupling) conducted by mainstream physics do not prove the identity of the two photon types; rather, they constitute a form of observational interference and Selection Bias that discards photons possessing intrinsic secondary oscillations. Although undetected by macroscopic single-photon counters, this transverse micro-oscillation acts as a Local Hidden Variable that modifies polarization transmission probabilities, providing a legitimate physical ground to re-evaluate the non-locality interpretation of quantum mechanics.
For nearly a century, quantum mechanics (QM) has established itself as an exceptionally effective framework for predicting the collective movements and statistical distributions of particles. However, its predictive success comes with a significant conceptual cost: the apparent abandonment of local realism. When one attempts to apply the standard quantum formalism at the scale of an individual particle, paradoxes inevitably arise. This article argues that these contradictions are not intrinsic properties of nature, but rather stem from a fundamental category error: the misapplication of ensemble statistical laws to individual events, which unrightfully promotes statistical averages to instantaneous physical realities. To address the root cause of this conceptual deviation, we must establish a foundational axiom: the Principle of Particle Reality. This principle posits that if a particle exists as a real entity, it must inherently possess definite physical properties—such as a precise polarization, velocity, and trajectory—independent of our capacity to detect them. Ignoring this ontology has led the standard model to treat physical realities as abstract paradoxes. To resolve them, this work proposes a unified reconsideration of three main pillars of quantum interpretation. First, regarding locality, we demonstrate that a polarizer does not create a state but merely reveals a pre-existing polarization. The concrete proof lies in the reduction of a beam’s intensity, which is fundamentally a physical drop in the number of transmitted particles. By establishing a physical equivalence between parallel and sequential measurements via the principle of Statistical Identity, we show that exact quantum correlations emerge directly from a particle-by-particle application of the strictly positive classical Malus’s law (0 ≤ p ≤ 1). This successfully explains the violation of Bell’s inequalities within a strictly local framework, bypassing the non-physical negative quasi-probabilities encountered in previous angular hidden-variable models. Secondly, on the illusion of state superposition, we show that failing to recognize that an interferometer physically and deterministically alters the polarization orientation of a particle led to an abstract formulation; in reality, this involves a deterministic geometric transformation of probability distributions. Finally, addressing wave-particle duality, we challenge the standard postulate of artificial simultaneity in the double-slit configuration, which caused a deep confusion between the collective behavior of a group and the sequential passage of an individual entity. We introduce an “event-by-event” formulation where interference fringes emerge instead from temporal correlations preserved by the non-commutativity of averaging. By restoring the strict distinction between statistical ensemble laws and individual reality through the Principle of Particle Reality, this work aims to definitively end “quantum geocentrism” and to lay the foundations for a coherent, local, and realistic sub-quantum physics.
For nearly a century, quantum mechanics (QM) has established itself as an exceptionally effective framework for predicting the collective movements and statistical distributions of particles. However, its predictive success comes with a significant conceptual cost: the apparent abandonment of local realism. When one attempts to apply the standard quantum formalism at the scale of an individual particle, paradoxes inevitably arise. This article argues that these contradictions are not intrinsic properties of nature, but rather stem from a fundamental category error: the misapplication of ensemble statistical laws to individual events, which unrightfully promotes statistical averages to instantaneous physical realities. To address the root cause of this conceptual deviation, we must establish a foundational axiom: the Principle of Particle Reality. This principle posits that if a particle exists as a real entity, it must inherently possess definite physical properties—such as a precise polarization, velocity, and trajectory—independent of our capacity to detect them. Ignoring this ontology has led the standard model to treat physical realities as abstract paradoxes. To resolve them, this work proposes a unified reconsideration of three main pillars of quantum interpretation. First, regarding locality, we demonstrate that the passage probabilities through two polarizers for a particle within an unpolarized beam remain identical regardless of their order. Governed by Malus's law and the strict mathematical symmetry \cos^2(a-b) = \cos^2(b-a), this establishes that polarizers can be arranged in any sequential order or even in parallel for statistically identical pairs without altering the total passage probabilities. By establishing a physical equivalence, we show that exact quantum correlations emerge directly from a particle-by-particle application of the strictly positive classical Malus's law (0 \le p \le 1). This successfully explains the violation of Bell’s inequalities within a strictly local framework, bypassing the non-physical negative quasi-probabilities encountered in previous angular hidden-variable models. Secondly, on the illusion of state superposition, we show that failing to recognize that an interferometer physically and deterministically alters the polarization orientation of a particle led to an abstract formulation; in reality, this involves a deterministic geometric transformation of probability distributions. Finally, addressing wave-particle duality, we challenge the standard postulate of artificial simultaneity in the double-slit configuration, which caused a deep confusion between the collective behavior of a group and the sequential passage of an individual entity. We introduce an ``event-by-event'' formulation where interference fringes emerge instead from temporal correlations preserved by the non-commutativity of averaging. By restoring the strict distinction between statistical ensemble laws and individual reality through the Principle of Particle Reality, this work aims to definitively end ``quantum geocentrism'' and to lay the foundations for a coherent, local, and realistic sub-quantum physics.
For nearly a century, quantum mechanics (QM) has established itself as an incredibly effective tool for predicting the collective movements and statistical distributions of particles. However, its predictive success comes with a major conceptual cost: the apparent abandonment of local realism. When one attempts to apply the quantum formalism at the scale of an individual particle, paradoxes inevitably arise, such as non-locality, state superposition, or wave-particle duality. The central thesis of this document is that these paradoxes are not intrinsic properties of nature, but rather result from an ontological category error. The current formalism applies ensemble statistical laws designed to describe the average behavior of a large number of particles to the scale of the individual, where they are not intended to apply. This undue promotion of statistics to the rank of instantaneous reality leads to a ``magical'' interpretation of statistically balanced phenomena. This article propose a reconsideration of three pillars of the standard quantum interpretation: Firstly, we demonstrate that the violation of Bell’s inequalities can be reinterpreted locally through the principle of Statistical Identity (shared initial orientation), which establishes an equivalence between parallel and sequential measurements, allowing the application of Malus’s law to reproduce the correlations without requiring any non-local influence. second, we show that interferometry does not reveal a superposition of states, but rather involves a deterministic geometric transformation of probability distributions via polarization rotation. Finally, we challenge the standard postulate of simultaneity in the Young's slits. We introduce an ``event-by-event'' formulation where interference fringes emerge from temporal correlations preserved by the non-commutativity of averaging, rather than from the interaction of simultaneous fields. By restoring the distinction between statistical law and individual reality, this work aims to end ``quantum geocentrism'' and lay the foundations for a coherent, local, and realistic Sub-Quantique and Infra-Particules physics.