This paper presents a critical review of the geometric and linear assumptions underlying Bell's inequality, introducing an alternative theoretical framework based on the mechanism of particle genesis. We propose that the statistical correlations observed in quantum entanglement experiments can be comprehensively modeled through geometric tolerance probability rules, rather than non-local action. By establishing absolute variables governing the dynamic state changes during particle generation and propagation, this study addresses the apparent violations of local realism. Furthermore, we explore the implications of these geometric parameters within the framework of special relativity and wave-particle thought experiments, demonstrating that a reconsidered classical-geometric perspective can consistently account for quantum interference phenomena without relying on mystical or non-causal interpretations.
This paper presents a critical review of the geometric and linear assumptions underlying Bell's inequality, introducing an alternative theoretical framework based on the mechanism of particle genesis. We propose that the statistical correlations observed in quantum entanglement experiments can be comprehensively modeled through geometric tolerance probability rules, rather than non-local action. By establishing absolute variables governing the dynamic state changes during particle generation and propagation, this study addresses the apparent violations of local realism. Furthermore, we explore the implications of these geometric parameters within the framework of special relativity and wave-particle thought experiments, demonstrating that a reconsidered classical-geometric perspective can consistently account for quantum interference phenomena without relying on mystical or non-causal interpretations.
This work proposes a new perspective on quantum correlations by showing that Bell inequality violations can emerge from a probabilistic equilibrium principle. The framework demonstrates that quantum-like correlations arise from two basic conditions: balanced marginals (P(A=+) = P(B=+) = 0.5) and statistical identity (identical particle responses to measurements). offering a local realistic interpretation of phenomena like EPR correlations and double-slit interference. Key aspects of this work: • New derivation: We derive the quantum correlation E(θ) = cos(2θ) from classical probabilistic foundations, showing how Malus' law naturally leads to Bell violations under probabilistic equilibrium. • Theoretical framework: We propose that Bell violations indicate statistical identity between particles rather than non-locality, offering an alternative to conventional interpretations. • Experimental alignment: The theoretical predictions show consistency with recent experiments and suggest new testable configurations through marginal bias studies. • Broader implications: This approach provides a geometric-probabilistic foundation for quantum phenomena while maintaining locality and realism. The manuscript presents what I believe is a meaningful contribution to understanding quantum foundations, with specific testable predictions .
The foundational conflict between the probabilistic non-locality of quantum mechanics and the geometric determinism of general relativity remains the central challenge of modern physics. This paper addresses the tension by proposing a locally causal framework where Bell-inequality violations emerge as a direct consequence of the intrinsic curvature of a discretized state-space manifold. By violating the “Measurement Independence” assumption through a global geometric constraint, we eliminate the need for non-local “spooky action” while preserving the causal structure of spacetime. Our methodology utilizes a novel “Ontic Tensor” mapping that bridges Riemannian metrics with p-adic state-space discretization. The results demonstrate that the Ontic Tensor model reproduces sinusoidal Bell correlations with an R2>0.99 against standard quantum mechanical predictions. Furthermore, we identify a falsifiable “entanglement saturation” limit, predicting that entanglement fidelity must decay beyond m=log2(p) qubits due to the finite information capacity of the invariant set. The implications of this research suggest a return to the Einsteinian ideal of local realism, where randomness is viewed as an emergent mask for underlying geometric complexity. By resolving the measurement problem through state convergence on a fractal attractor, we provide a non-perturbative pathway toward the unification of quantum field theory and general relativity. This work addresses seven critical gaps in the literature, establishing Superdeterminism as a rigorous, testable, and parsimonious framework for the future of physics.
This short article concentrates on the conceptual aspects of the violation of Bell inequalities, and acts as a map to the 265 cited references. The article outlines (a) relevant characteristics of quantum mechanics, such as statistical balance and entanglement, (b) the thinking that led to the derivation of the original Bell inequality, and (c) the range of claimed implications, including realism, locality and others which attract less attention. The main conclusion is that violation of Bell inequalities appears to have some implications for the nature of physical reality, but that none of these are definite. The violations constrain possible prequantum (underlying) theories, but do not rule out the possibility that such theories might reconcile at least one understanding of locality and realism to quantum mechanical predictions. Violation might reflect, at least partly, failure to acknowledge the contextuality of quantum mechanics, or that data from different probability spaces have been inappropriately combined. Many claims that there are definite implications reflect one or more of (i) imprecise non-mathematical language, (ii) assumptions inappropriate in quantum mechanics, (iii) inadequate treatment of measurement statistics and (iv) underlying philosophical assumptions.
Quantum mechanics challenges our intuition on the cause-effect relations in nature. Some fundamental concepts, including Reichenbach's common cause principle or the notion of local realism, have to be reconsidered. Traditionally, this is witnessed by the violation of a Bell inequality. But are Bell inequalities the only signature of the incompatibility between quantum correlations and causality theory? Motivated by this question, we introduce a general framework able to estimate causal influences between two variables, without the need of interventions and irrespectively of the classical, quantum, or even postquantum nature of a common cause. In particular, by considering the simplest instrumental scenario-for which violation of Bell inequalities is not possible-we show that every pure bipartite entangled state violates the classical bounds on causal influence, thus, answering in negative to the posed question and opening a new venue to explore the role of causality within quantum theory.
Quantum entanglement is widely regarded as the most puzzling feature of quantum theory, apparently violating local realism through nonlocal correlations between spacelike-separated particles. Although violations of Bell inequalities are experimentally confirmed, their standard theoretical explanation relies on wavefunction collapse or nonlocal hidden variables. In this work, we present an alternative explanation based on Trembling Spacetime Relativity Theory (TSRT). In this framework, intrinsic metric fluctuations generate proper-time-synchronized geodesic ensembles whose deterministic trajectories give rise to statistical correlations across spacetime. Measurement outcomes are reinterpreted as geometric responses to these fluctuating backgrounds, without invoking quantum collapse or nonlocal influence. We show that the Clauser–Horne–Shimony–Holt (CHSH) inequality can be violated deterministically within a locally causal geometric structure. These violations emerge as macroscopic imprints of shared spacetime curvature, not quantum superposition. The resulting correlation function reproduces quantum predictions at short ranges but decays with separation—yielding testable deviations in long-baseline and gravitationally modulated experiments. TSRT thus offers a realist, Lorentz-invariant, and falsifiable account of entanglement grounded in the causal structure of spacetime.
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.