This article addresses and resolves the problem of non-locality in quantum entanglement—historically described by Albert Einstein as "spooky action at a distance"—through the lens of the Quantum Diffusion (DQ) Framework. It postulates that the apparent violation of the locality principle and the speed of light is an optical and geometric illusion arising from our perception limited to a 3D+1 space. Under the DQ Framework, two entangled particles are not separate discrete entities interacting at superluminal speed , but rather threedimensional intersections of a single continuous topological object in the 12-dimensional subspace 𝐹μν. The modification of the state of one "particle" constitutes a tensor rotation of the entire underlying matrix, manifesting instantaneously in both 3D projections. This model eliminates the need for non-local postulates, explaining decoherence as a breakdown of gauge symmetry and restoring absolute topological determinism to quantum mechanics.
This article addresses and resolves the problem of non-locality in quantum entanglement—historically described by Albert Einstein as "spooky action at a distance"—through the lens of the Quantum Diffusion (DQ) Framework. It postulates that the apparent violation of the locality principle and the speed of light is an optical and geometric illusion arising from our perception limited to a 3D+1 space. Under the DQ Framework, two entangled particles are not separate discrete entities interacting at superluminal speed , but rather threedimensional intersections of a single continuous topological object in the 12-dimensional subspace 𝐹μν. The modification of the state of one "particle" constitutes a tensor rotation of the entire underlying matrix, manifesting instantaneously in both 3D projections. This model eliminates the need for non-local postulates, explaining decoherence as a breakdown of gauge symmetry and restoring absolute topological determinism to quantum mechanics.
Quantum entanglement has long been characterized by Albert Einstein as "spooky action at a distance," challenging the classical understanding of locality and causality due to its apparent instantaneous interaction across vast spatial separations. In this paper, we resolve this paradox through the theoretical framework of Holographic Hologram-Holographic Quantum Mechanics (H3QM). We postulate that vacuum space is not an empty continuous manifold, but rather a discrete, tightly packed three-dimensional network of physical gears at the Planck scale. Under this framework, quantum entanglement is no longer interpreted as the superluminal transmission of information, but as the rigid topological locking of microscopic gears within the same kinematic chain. By applying topological winding and classical gear mechanics to the fundamental structure of space, we demonstrate that entangled particles act as mechanically linked endpoints of a unified spatial structure. This geometric paradigm provides a deterministic, local, and causal explanation for entanglement, seamlessly integrating quantum non-locality with geometric mechanics. Note: This deposit includes the full paper in English (en-US), Traditional Chinese (zh-TW), and Simplified Chinese (zh-CN).
The phenomenon of quantum entanglement and its apparent non-locality have challenged the boundaries of classical physics and Einstein’s special relativity for nearly a century. Mainstream interpretations often rely on the ambiguous concept of ”spooky action at a distance” or superluminal communication. This paper completely dismantles the non-locality paradox by shifting the paradigm from a 3dimensional spatial background to an infinite-dimensional non-commutative supermanifold governed by Rough Operator Algebra (ROA) and the Seonggil Theory of Composite Torsion (STCT). We prove that entangled particles are not distinct entities separated by macroscopic distance, but are geometrically bound as a single ”Topological Knot” at a continuous fractional dynamic rank (ν) within the Hypertensor space. Furthermore, we demonstrate that wave-function collapse uponmeasurement is not a transmission of information, but a simultaneous geometric shadow cast by the Tensor Projection Operator (P_4D), triggered by a topological shockwave from the collision of macroscopic and microscopic roughness indices(α). Consequently, absolute quantum unitarity and local causality are flawlessly preserved without violating the speed of light limit.
The phenomenon of quantum entanglement, classically interpreted as "spooky action at a distance" due to the apparent instantaneous correlation of spatially separated systems, represents a profound epistemological crisis in modern physics. This letter resolves the EPR paradox by replacing the abstract concept of non-locality with deterministic continuum mechanics. By postulating a rigid, three-dimensional Euclidean vacuum modeled as a pre-tensioned fluid (epsilon0, mu0), entangled energetic nodes (photons) are demonstrated to remain physically connected via a continuous macroscopic torsion tube. The instantaneous synchronization of spin states during measurement is mathematically derived as the strict conservation of total angular momentum across this highly strained vacuum conduit. This classical mechanical approach eliminates the necessity of probability waves, proving that entanglement is an explicit manifestation of mechanical phase stiffness rather than a violation of the speed of light. Alternative explanation for quantum entanglement: Resolving the EPR paradox and non-locality through classical continuum mechanics, identifying entangled systems as mechanically coupled torsion tubes in a rigid Euclidean vacuum.
This study examines and resolves one of the most fundamental problems in quantum mechanics, the apparent non-locality arising from quantum entanglement (EPR paradox), utilizing the axiomatic model of Topological Network Dynamics (Phi-ND). The research demonstrates that the state change of entangled systems does not violate the causal speed limit of relativity. The framework establishes that entanglement is physically a topological phase transition (vertex-fusion) on a discrete, fundamental graph, whereas macroscopic three-dimensional Euclidean distance is merely the result of a lower-energy projection. Because the distance between the two entangled objects is strictly zero within the fundamental topological space, causal phase-state updating remains local and instantaneous, thereby preserving local realism and providing a definitive mathematical explanation for the violation of Bell's inequalities.
Quantum entanglement remains the most contentious phenomenon in modern physics, famously described by Einstein as "spooky action at a distance." The standard interpretation relies on the instantaneous collapse of a non-local wave function, a mechanism that blatantly challenges the speed-of-light limit, or alternatively, relies on "superdeterminism", a conceptual patch suggesting all variables were correlated since the Big Bang. We demonstrate that under the framework of Computational Finitism, the EPR paradox is entirely dissolved. By modeling the universe as a discrete, Modulo-9 causal graph, we prove that entangled particles are not independent objects communicating across space. Instead, they are a single, indivisible topological knot projected onto two spatial coordinates. We present a deterministic simulation (The Finitism Entanglement Automaton) that achieves 100.0% perfect anti-correlation without any signal propagation, ontological randomness, or faster-than-light communication. Entanglement is not magic; it is the macroscopic observation of a non-separable algebraic identity.
This paper formulates a novel, strictly unitary interpretation of quantum mechanics—the Relational KMS Interpretation—within the framework of stochastic non-commutative quantum geometry. We address and resolve the historical tension surrounding quantum non-locality and Bell’s theorem ("spooky action at a distance"). By utilizing the Tomita–Takesaki modular automorphism formalism on von Neumann factors of type III₁, we demonstrate that continuous macroscopic spacetime coordinates and causal temporal flows are not fundamental realities, but emergent thermodynamic parameters generated by a partial trace operation over hidden ultraviolet (UV) loop quantum gravity (LQG) spin network degrees of freedom. Consequently, EPR-type quantum entanglement does not involve superluminal signaling across physical space. Instead, non-local correlations manifest because the underlying quantum state remains globally interconnected within a timeless, pre-geometric Hilbert space, while the apparent spatial separation and the "collapse" of the wave function are localized observer-dependent consequences of thermodynamic KMS clock synchronization and Zurek einselection. Finally, we provide explicit, immediate "here-and-now" experimental testing protocols based on GUP-induced anharmonic phase noise detection in open quantum circuits via QuTiP integrators and long-baseline SPDC polarization phase diffusion bounds.