Quantum Entanglement as a Projection of the Informational chi-Channel Theoretical Foundation and Experimental Verification within the Framework of the FQGP
Attention: This version is preliminary and contains errors that will be corrected in subsequent publications. Standard quantum mechanics postulates the existence of entangled states and instantaneous correlations between distant particles, yet offers no physical mechanism explaining how these correlations arise. This paper proposes an explanation within FKGP 4.0: quantum entanglement is the projection of a single informational state of the chi-channel — a layer of reality decoupled from the spacetime metric and hidden from the observer by the 'light cloak'. The properties of the chi-channel (globality, absence of causal constraints, finite information-processing speed Veff >> c) naturally give rise to all known entanglement phenomena without superluminal energy transfer. An upper bound on maximal entanglement is derived via the generalised Bekenstein–Hawking holographic entropy, yielding the verifiable scaling S ~ R 2.46. A planetary-scale Bell test (Earth–Mars) is proposed as a falsifying experiment.
Attention: This version is preliminary and contains errors that will be corrected in subsequent publications. Standard quantum mechanics postulates the existence of entangled states and instantaneous correlations between distant particles, yet offers no physical mechanism explaining how these correlations arise. This paper proposes an explanation within FKGP 4.0: quantum entanglement is the projection of a single informational state of the chi-channel — a layer of reality decoupled from the spacetime metric and hidden from the observer by the 'light cloak'. The properties of the chi-channel (globality, absence of causal constraints, finite information-processing speed Veff >> c) naturally give rise to all known entanglement phenomena without superluminal energy transfer. An upper bound on maximal entanglement is derived via the generalised Bekenstein–Hawking holographic entropy, yielding the verifiable scaling S ~ R 2.46. A planetary-scale Bell test (Earth–Mars) is proposed as a falsifying experiment.
Quantum mechanics discovers fascinating concepts like entanglement, in which subatomic particles stay correlated regardless of distance. Measurements on one particle instantaneously influence the other, defying classical expectations. While the principles of quantum mechanics suggest the possibility of faster-than-light information transfer, experiments such as quantum teleportation and entanglement exchange indicate this more explicitly. However, it’s crucial to distinguish this from the speed limit of light established by special relativity. This chapter argues that the superluminal aspect observed in these processes pertains to ontological information, and not the actual physical movement of micro-particles; in contrast, epistemological information, derived from measurements, remains bound by the speed of light. Microscopic particles possess both intrinsic properties (their own nature) and extrinsic properties (how they interact with the environment). This duality extends to their identity and distinguishability. Quantum teleportation experiments demonstrate that quantum reality unites quantum information within these micro-particles; in addition, quantum information can be transferred through specific quantum processes.
ABSTRACT The emergence of quantum entanglement correlations across spatially separated measurement regions renders the interpretation of the relationship between quantum mechanics and relativistic causality a core problem in quantum foundations [Einstein et al., 1935; Bell, 1964]. In this study, two entangled particles are modeled not as two independent physical objects in Minkowski spacetime, but as a joint quantum state in configuration space. The relative space and time coordinates of the joint state are defined via: and the ideal space-time correlation limit assumed in the model is expressed as: This limit is not a general definition of quantum entanglement, but an idealized geometric assumption representing strong correlation in the relative coordinates of the joint state within the proposed model. In this approach, physical spacetime is treated as a geometric structure representing the projection of the joint quantum state onto observable spacetime coordinates. To ensure the projection is Lorentz-covariant, the light-like interval: is employed as the constitutive geometric condition of the model. This condition is accepted not as a mandatory Minkowski interval between physical measurement events, but as the mathematical postulate of the proposed projection geometry. The dynamic scale parameter of the model is grounded in total relativistic quantum energy instead of rest mass, establishing a dimensionless Planck-scaling factor defined as: To encompass both massive and massless systems, quantum energy density is defined via the energy density component of the stress-energy tensor relative to an observer. The required consistency condition for covariant energy-momentum conservation is derived in its general form. Furthermore, modeling the proposed geometric effect as a dimensionless metric perturbation yields a phenomenological first-order geometric phase correction defined as: where is the energy-dependent reduced wavelength. Under fixed and finite , the vanishing of the proposed correction in the low-energy regime relative to the Planck scale () demonstrates that the geometric effect added by the model to standard low-energy quantum mechanics becomes negligible. This study proposes a testable theoretical model aimed at explaining the spatiotemporal correlations of quantum entanglement within a Lorentz-covariant, energy-scaled, and phenomenological geometric framework.
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
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.
The speed of light, c, is the best-confirmed constant in physics. Within Special Relativity, it defines the causal structure of spacetime and no experiment has ever recorded an object exceeding it. This paper does not dispute any of that. What this paper argues is that quantum entanglement constitutes direct experimental evidence that the extrapolation of c to a universal limit across all layers of physical reality is not justified by the data. c is the fundamental limit of relativistic spacetime. Whether it is also the limit of whatever substrate gives rise to that spacetime is a question the experiments force us to take seriously—and that current physics leaves genuinely open. Bell-test experiments, confirmed from Aspect (1982) to the Large Hadron Collider (2023), show that entangled correlations cannot be explained by any local model. Something produces those correlations without any mechanism that respects c. The no-communication theorem shows that this cannot be exploited for signalling today, within the current framework. It does not show that c governs the mechanism that produces the correlations. Those are different claims, and conflating them has allowed a mathematical result about signal statistics to carry unwarranted ontological weight. This is a conceptual and philosophical analysis grounded in experimental results. It does not propose a new theory. It argues that the evidence we already have is sufficient to challenge the extrapolation that treats c as an absolute limit across all layers of physical reality. That extrapolation is not forced by the data. It is a theoretical choice and a contestable one.
Two statements in physics are frequently conflated: that nothing can travel faster than light, and that two entangled particles behave as if "instantaneously" connected regardless of their separation. This paper addresses both questions together: whether a faster-than-light particle could exist and, if so, whether it would count as matter; and whether quantum entanglement actually violates the light-speed limit. Starting from the energy–velocity relation of special relativity, it is shown that massive particles cannot reach the speed of light, and the properties of hypothetical tachyons (imaginary mass, absence of a rest frame and violation of causality) are examined. Using the singlet state, the non-separability, reduced state and correlation properties of entanglement are derived, and the quantum violation of the CHSH inequality up to 2√2 is computed. Finally, via the no-signaling theorem, it is shown that entanglement produces non-local correlations without permitting superluminal communication. In conclusion, nature accommodates non-local correlations without allowing any object to travel faster than light.