The spacetime scale as a quantum coördinate system

Viacheslav A. Emelyanov, Daniel Robertz

Giovanni Amelino-camelia A, Robert Brandenberger, Chong‐Sun Chu +9 more

Aleksandr V. Belinsky, A. K. Zhukovskiy

Abstract Quantum entanglement and quantum nonlocality are examined in the context of the fundamental relationship between spacetime symmetry and conservation laws. It is established that quantum nonlocality arises from the very structure of spacetime. Arguments are presented in favor of the secondary nature of the spacetime continuum relative to more fundamental principles and concepts of the microworld. An example is given of a closed quantum entangled system, which demonstrates that such a system behaves as an indivisible whole: its particles are inseparably linked through the conservation of momentum. Physically, this manifests as strict correlations in measurements—correlations that must be nonlocal in nature. This supports the idea that there exist deep mechanisms of coordination, such as the principle of reciprocity between coordinate and momentum representations, and binary relations permeating the fabric of nonlocal spacetime. To understand the coherent behavior of such systems, it is necessary to move beyond local reductionism and accept the objective reality of global connections that bind the elements of the system into a unified ensemble.

Hüseyin YALÇINKAYA

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.

Benjamin F. Dribus

Hugh Nigel Abraham

This primer introduces a decentralised, coordinate-based framework that resolves the quantum measurement problem through top-down kinematic constraints rather than dynamic mechanical collapse or parallel branching universes. By expanding the infinitesimal present point into a continuous, physical spatial-time transition horizon, the model demonstrates how the localised metric field functions as an active informational ledger. Apparent field variations and macro-scale mass are derived natively as structural consequences of localised temporal displacement and coordinate latency thresholds, establishing a dynamic ontological realism that maintains complete relativistic invariance. Related work: Wardality, The Governance of Continuos-Variable Spatial Configurations (10.5281/zenodo.21160790), Refined Spacetime Theory (10.5281/zenodo.20754567).