Withdrawal notice (added by the author). This record was an exploratory, AI-assisted working draft. Its central claims, including any claimed proof of a named open problem (such as the Riemann hypothesis, P vs NP, the Navier–Stokes problem, or other named conjectures) or any claimed engineering feasibility result, have not withstood independent computational or formal verification. The author withdraws those claims in full. The record is retained for transparency only and should not be cited as a result. We present a first-principles explanation for the non-local nature of quantum entanglement based on the universal self-adjoint integral operator framework. We show that quantum entanglement is not an intrinsic property of individual quantum particles, but a direct manifestation of the global coherence inherent in the continuous spectral Hilbert space of spacetime. The hyperbolic cosine integral kernel of the universal operator provides the microscopic ultraviolet cutoff for all interactions, while the non-local correlation of entanglement originates from the global nature of the Hilbert space itself. We derive the universal intrinsic decoherence rate of entangled states induced by Planck-scale spacetime spectral fluctuations, with quantitative scaling laws and numerical predictions for different physical systems. We give a consistent theoretical interpretation of the experimentally measured lower bound of the apparent entanglement speed, and demonstrate full compatibility with all existing Bell test results including the lower bound of >10^4 c. We also present four testable quantitative predictions verifiable with current or near-future experimental technology. Our theory resolves the long-standing paradox of quantum non-locality, and provides a unified description of quantum mechanics and relativistic spacetime structure. Keywords: Quantum entanglement; Non-locality; Spacetime structure; Self-adjoint operator; Spectral theory; Quantum foundations; Bell inequality; Intrinsic decoherence MSC 2020 Classification: 81P40; 81T20; 47B25; 83F05; 81P15
Withdrawal notice (added by the author). This record was an exploratory, AI-assisted working draft. Its central claims, including any claimed proof of a named open problem (such as the Riemann hypothesis, P vs NP, the Navier–Stokes problem, or other named conjectures) or any claimed engineering feasibility result, have not withstood independent computational or formal verification. The author withdraws those claims in full. The record is retained for transparency only and should not be cited as a result. We present a first-principles explanation for the non-local nature of quantum entanglement based on the universal self-adjoint integral operator framework. We show that quantum entanglement is not an intrinsic property of individual quantum particles, but a direct manifestation of the global coherence inherent in the continuous spectral Hilbert space of spacetime. The hyperbolic cosine integral kernel of the universal operator provides the microscopic ultraviolet cutoff for all interactions, while the non-local correlation of entanglement originates from the global nature of the Hilbert space itself. We derive the universal intrinsic decoherence rate of entangled states induced by Planck-scale spacetime spectral fluctuations, with quantitative scaling laws and numerical predictions for different physical systems. We give a consistent theoretical interpretation of the experimentally measured lower bound of the apparent entanglement speed, and demonstrate full compatibility with all existing Bell test results including the lower bound of >10^4 c. We also present four testable quantitative predictions verifiable with current or near-future experimental technology. Our theory resolves the long-standing paradox of quantum non-locality, and provides a unified description of quantum mechanics and relativistic spacetime structure. Keywords: Quantum entanglement; Non-locality; Spacetime structure; Self-adjoint operator; Spectral theory; Quantum foundations; Bell inequality; Intrinsic decoherence MSC 2020 Classification: 81P40; 81T20; 47B25; 83F05; 81P15
We develop a constructive, entanglement-first derivation of quantum field theory in which all physical structure arises from a single operator relation, ρ = e −S(H) . The fundamental object is the correlation matrix Cij = ⟨λi |ρ|λj ⟩, from which locality, spectral geometry, renormalization flow, and interaction structure are derived without prior assumptions of spacetime, fields, or gauge symmetry. We show that the conventional kernel formulation is a projection of the full entanglement structure and is therefore insufficient to reconstruct physical dynamics, establishing operator entanglement as the unique fundamental layer. Within this framework, non-Abelian gauge structure emerges from symmetry-induced degeneracies of the entanglement operator, yielding a natural construction of gauge connections and curvature. The Yang–Mills action is derived as the leading gauge-invariant functional consistent with entanglement-induced locality and spectral scaling, rather than postulated. In the strong-coupling regime, exponential decay of correlations implies clustering, a nonzero mass gap, and an area law for Wilson loops, providing a nonperturbative mechanism for confinement. We further construct the full quantum theory via an entanglement-induced measure, verifying all Osterwalder–Schrader axioms and establishing Hilbert space reconstruction, uniqueness of the continuum limit, universality, vacuum uniqueness, and operator-domain control. The resulting framework provides a unified and constructive foundation for quantum field theory in which Yang–Mills dynamics and nonperturbative phenomena arise directly from operator entanglement.
The mainstream interpretation of quantum entanglement and its derivative phenomena has long relied on concepts such as non-locality and superposition, leading to a lack of dynamical mechanism description for wave function collapse and creating profound conflicts with physical causality. This paper, based on the "Great Tao Model" and its "Existence Field Theory," proposes a systematic and unified interpretation of quantum entanglement phenomena, exemplified by the experiments recognized by the 2022 Nobel Prize in Physics. First, it analyzes the erroneous presuppositions in the derivation of Bell's inequality based on Existence Field Theory and establishes a general classical interpretation framework grounded in "static initial correlations" and "local interactions." Subsequently, through a classical physical reconstruction of milestone experiments such as Aspect's, it demonstrates that this framework is sufficient to explain all observed phenomena self-consistently, without introducing "non-local superluminal action." Building on this, the paper successfully extends this interpretative framework to core quantum phenomena such as quantum decoherence, teleportation, and many-body entanglement, revealing that they also originate from classical conservation law constraints and local field interactions. Furthermore, this paper compares the Great Tao Model with hidden variable theories, finding that although both belong to the classical realism camp and oppose non-locality, the Great Tao Model requires no introduction of any hidden variables. Instead, it explains phenomena directly based on the specific physical properties (charge, mass) of elementary particles and the local dynamics of their existence fields, thus providing a more physically realistic and unified theoretical framework. This study offers a unified, causality-compliant classical explanation for a series of quantum phenomena claimed to exhibit "non-locality," fundamentally challenging the conceptual foundation of related quantum information technologies and providing a new path for physics to return to a theoretical paradigm based on realism, locality, and clear dynamical mechanisms.
We present the Dynamical Scalar Field Theory (DSFT), a complete and self- consistent framework that explains quantum entanglement as a topological remnant of the pre-Big Bang Euclidean phase. In this theory, entanglement is not a nonlocal correlation but a geometric property of spacetime: two entangled particles are connected by a static topological soliton (phase-locking filament) within which the effective metric becomes Euclidean (Ω = 0, dt = 0), rendering spatial separation meaningless. We derive the full Lagrangian from first principles, including non-minimal cou- pling to matter (ξϕ2ρm) and curvature (αϕ2R), and demonstrate the existence of stable soliton solutions via the Bogomol’nyi bound. The decoherence process is identified as a sudden geometric phase transition (Ω : 0 → 1) occurring on the Planck time scale (∼ 10−43 s), independent of spatial distance. A detailed numerical analysis resolves previous dimensional inconsistencies: the correct prediction for the soliton response time is τresp ≈ 5.4 × 10−42 s, not 85 as. The attosecond time scale can be recovered only by introducing a perturbative term γϕ˙2ϕ 2 with γ ∼ 1050, which acts as a dynamical slowing mechanism. We further derive a dynamic cancellation mechanism via α(ϕ) that maintains soliton stability across a wide range of matter densities. Our model predicts FQ ∼ 1049 for a macroscopic crystal at T ∼ 10 K, in quantitative agreement with the recent Nature Physics observation of multipartite entanglement in the strange metal CePdSi (Mazza et al., 2026). The framework offers seven distinct predictions, five of which are experimentally testable with current or near-future technology. This work establishes DSFT as a mathematically rigorous, falsifiable theory that bridges quantum information, condensed matter, and gravitational physics, providing a physical mechanism for entanglement without violating causality or Lorentz invariance. https://doi.org/10.5281/zenodo.20724433 New version of this DOI
Abstract: The exact nature of non-locality and entanglement is still a matter of an ongoing controversy. Especially, the concept of non-locality as postulated by the orthodox Copenhagen quantum mechanics is claiming to reflect any non-locality in the quantum realm. Attention should be called to the obvious but very disconcerting fact that the concept of non-locality cannot contradict the theory of special relativity, as long as the same is not refuted theoretically or by experiments. Another way of expressing the peculiar situation is, under conditions of the special theory of relativity it remains rather discomforting to alter the properties of a distant system instantaneously (i. e. no light signal can travel) by acting on a local system. The purpose of this publication is to solve the problem of non-locality and entanglement from the standpoint of the special theory of relativity.
Withdrawal notice (added by the author). This record was an exploratory, AI-assisted working draft. Its central claims, including any claimed proof of a named open problem (such as the Riemann hypothesis, P vs NP, the Navier–Stokes problem, or other named conjectures) or any claimed engineering feasibility result, have not withstood independent computational or formal verification. The author withdraws those claims in full. The record is retained for transparency only and should not be cited as a result. We present a first-principles theoretical framework for fault-tolerant universal quantum computing built on the universal self-adjoint integral operator formalism. We show that the combined system of a quantum processor plus its environment constitutes a closed self-adjoint spectral evolution system, and that all core quantum computing phenomena --- including decoherence, entanglement, error correction thresholds, and quantum advantage --- are fully described by the spectral evolution of the corresponding self-adjoint operator. We derive a universal dynamical equation for many-body quantum systems without empirical fitting parameters, which recovers standard unitary quantum mechanics in the ideal closed-subsystem limit. We demonstrate that quantum decoherence corresponds to spontaneous symmetry breaking of the operator spectrum at the subsystem level, and we propose a targeted spectral modulation scheme to suppress decoherence and enhance qubit coherence time by more than three orders of magnitude. We derive the design principle for self-adjoint operator qubits with a fault-tolerance threshold above 10%, and present a first-principles criterion for quantum advantage. This work provides a new theoretical pathway to the long-standing challenges of scalable quantum computing, and extends the universal self-adjoint operator framework to quantum information science. Keywords: Universal quantum computing; fault tolerance; quantum decoherence; many-body quantum system; quantum advantage; first-principles theory; self-adjoint operators; spectral theoryMSC 2020 Classification: 81P68; 81P45; 81Q10; 47B25; 81V17; 81V35
Bell inequalities have long served as the standard criterion to verify local hidden variable theories. Experimental violations of these inequalities are commonly interpreted as fundamental quantum nonlocality at the microscopic scale. This paper proves rigorously that Bell inequalities hold only under three prerequisites: countable discrete variables, countably additive probability measures, and classical absolute simultaneity. The state space of entangled quantum systems forms an uncountable infinite continuum. By the property of Vitali non-measurable sets in measure theory, the integral deduction of the CHSH inequality collapses naturally over continuous state spaces. Furthermore, special relativity excludes universal global time synchronization, so the absolute time embedded in Bell’s theory is an artificial assumption inconsistent with physical reality. Inspired by the framework dependence of probability revealed in Bertrand’s paradox, we demonstrate that the excess correlation observed in experiments is an apparent effect caused by the mismatch between classical measurement frameworks and the intrinsic continuum property of quantum systems, rather than evidence against local hidden variables. Statistical correlation between entangled particles originates from their shared evolutionary sequence defined at pair generation, with no superluminal interaction, fully complying with relativistic causality. This paper does not explore the ultimate origin of entanglement, but treats it as a given primitive physical law. Two falsifiable predictions are proposed to distinguish the continuum model from standard quantum mechanics. The conclusion is that hidden variable theories have never been falsified by experiments; they only need to be extended from discrete forms to continuum models compatible with relativity.