Traditional investigations in quantum mechanics and quantum information theory have predominantly focused on the static existence, verification, and quantification of entanglement, often treating the establishment of quantum correlations as an instantaneous or background-dependent phenomenon. This paper introduces the comprehensive theoretical framework of Quantum Correlation Velocity Tomography (QCVT), a novel diagnostic and analytical paradigm that elevates the correlation establishment rate into an independent physical observable and kinematic field. By defining the scalar correlation velocity as v_corr = partial d / partial t_corr, where d represents the spatial separation between quantum subsystems and t_corr denotes the threshold-reaching time of correlation, we generalize this concept into a multidimensional vector field V_corr (r, t). We systematically examine the spatiotemporal evolution of this field across varying material media, gravitational potentials, spatial curvatures, and relativistic accelerations. Furthermore, we formulate the inverse problem of tomographic reconstruction for correlation velocity fields, addressing the fundamental inquiry of whether quantum correlations obey an intrinsic geometric propagation law independent of conventional signal transmission. This theoretical construct lays the groundwork for Correlation Kinematics, offering a profound re-evaluation of quantum non-locality and spacetime geometry.
Traditional investigations in quantum mechanics and quantum information theory have predominantly focused on the static existence, verification, and quantification of entanglement, often treating the establishment of quantum correlations as an instantaneous or background-dependent phenomenon. This paper introduces the comprehensive theoretical framework of Quantum Correlation Velocity Tomography (QCVT), a novel diagnostic and analytical paradigm that elevates the correlation establishment rate into an independent physical observable and kinematic field. By defining the scalar correlation velocity as v_corr = partial d / partial t_corr, where d represents the spatial separation between quantum subsystems and t_corr denotes the threshold-reaching time of correlation, we generalize this concept into a multidimensional vector field V_corr (r, t). We systematically examine the spatiotemporal evolution of this field across varying material media, gravitational potentials, spatial curvatures, and relativistic accelerations. Furthermore, we formulate the inverse problem of tomographic reconstruction for correlation velocity fields, addressing the fundamental inquiry of whether quantum correlations obey an intrinsic geometric propagation law independent of conventional signal transmission. This theoretical construct lays the groundwork for Correlation Kinematics, offering a profound re-evaluation of quantum non-locality and spacetime geometry.
The study of quantum entanglement and non-local correlations has traditionally focused on static configurations or point-to-point state transmission protocols. In this paper, we propose a novel hydrodynamic framework for quantum correlations, introducing the concept of the Quantum Correlation Compression Wave (QCCW). We define a continuous scalar field representing correlation density, denoted as rho_C(r, t), which behaves analogously to an elastic medium capable of supporting longitudinal compression waves. By formulating the governing wave equation for correlation density, which incorporates a characteristic propagation velocity v_C and a damping coefficient gamma_C, we demonstrate that quantum mutual information and entanglement structures can form independent collective excitations. Furthermore, we explore the quantization of this field, leading to the theoretical discovery of new elementary excitations termed correlation quasiparticles or corratons. This framework bridges quantum information theory with classical continuum mechanics and field theory, offering a new perspective on macroscopic quantum phenomena and collective entanglement dynamics.
We propose a unified geometric framework in which space and time emerge as observer-dependent projections of quantum correlations embedded in the universal wavefunction. In this approach, we formulate six axioms (including a duality between entanglement and time) that establish a correspondence between correlation structures and effective spacetime geometry. We introduce the "correlationhedron", a convex geometric object representing the set of all permissible correlation vectors of a given state, and show how different observer "slicings" (modeled by projection maps) yield distinct emergent spacetimes from this object. An emergent metric is defined on each observer's spacetime via the second derivative of a correlation density (analogous to a Fisher information metric), linking gradients in quantum entanglement to curvature. This paper establishes the conceptual foundations of this approach as the first in a planned series of investigations. We illustrate the framework with conceptual and quantitative examples, including an explicit calculation of the emergent geometry for a two- qubit system in both separable and entangled states. Connections to holography (AdS/CFT) (Maldacena1998, Ryu2006), tensor networks (Swingle2012), and relational quantum approaches (Rovelli1996) are discussed, along with experimental signatures (such as curvature variations with entanglement) that could support the theory. Finally, we outline the limitations of the framework, particularly regarding dynamics and observer-dependent causality, to guide future investigations. This kinematic framework establishes the conceptual skeleton of emergent spacetime; detailed constructions, proofs of smoothness, and dynamical laws will appear in forthcoming work.
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.
This paper introduces the concept of the Entanglement Velocity Field (EVF), a novel framework for understanding the propagation of quantum entanglement. The prevailing view of quantum entanglement often relies on the notion of instantaneous correlation, a concept that struggles to reconcile with the fundamental principles of special relativity. We propose that entanglement, rather than propagating instantaneously, exhibits a velocity-dependent behavior, manifested as a velocity field. This EVF, denoted as [vE(x, t)], describes the rate at which entanglement spreads through a quantum system. The core argument rests on the observation that the dynamics of entanglement are not solely determined by the instantaneous correlation between entangled particles but are significantly influenced by the time-dependent propagation of this velocity field. We outline the theoretical underpinnings of the EVF, emphasizing its potential to resolve paradoxes associated with instantaneous communication and to provide a more accurate description of quantum entanglement propagation, particularly within large-scale quantum networks. The development of this framework holds significant potential for advancing our understanding of quantum information processing and could ultimately contribute to breakthroughs in technologies like quantum teleportation and secure quantum communication. Further research into characterizing and experimentally verifying the EVF is presented as a crucial next step.
This paper introduces the concept of Quantum Correlation Propagation Geometry (QCPG), a novel framework for understanding and manipulating quantum entanglement beyond traditional spacetime constraints. QCPG postulates the existence of a distinct geometric structure – denoted as [G_Q] – that governs the propagation of quantum correlations. Unlike conventional geometry, QCPG operates within this inherent space, offering a potential pathway to fundamentally different quantum information processing architectures. The core idea revolves around defining and utilizing a quantum correlation space, which allows for the description and manipulation of entangled states based on geometric relationships. This framework aims to provide a more intuitive and potentially experimentally feasible approach to harnessing quantum correlations for applications like quantum networking and advanced quantum computation. The presented model is conceptually rich and possesses significant potential for future research and development, potentially aligning with the goals of the Nobel Prize in Physics.
All known physical systems are described by quantum fields, whose observable properties arise from measurable correlations among their states. In this interpretation, what we call information is not an abstract entity but the physical pattern formed by these correlations. Energy, momentum, and spacetime curvature are already known to be expressible through expectation values of quantum operators, and recent results in quantum information theory show that variations in entanglement correspond directly to variations in energy. From this perspective, macroscopic structures—including matter and spacetime geometry—can be understood as stable, evolving patterns within quantum fields. Apparent non-local correlations, such as quantum entanglement, do not transmit signals faster than light but reflect pre-existing informational structure consistent with relativistic causality. Gravitational effects traditionally attributed to unseen components may, in principle, also be described as consequences of information distribution within known fields, without invoking new particles or interactions. This interpretation does not modify established physical laws or introduce new constants. It remains fully compatible with quantum field theory and general relativity, and is intended as a conceptual framework for organizing existing results rather than a new predictive theory. Its empirical relevance lies in re-expressing known phenomena in terms of information patterns that are, in principle, measurable through correlations and entanglement.