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Higher-Dimensional Relativity and the Wavefunction

Philip J. Carter

Published Jun 1, 2019• 0 citations
OpenAlex

Abstract

We approach the Nature and Ontology of Spacetime by considering the properties of the wavefunction. On the basis of observed retrocausal effects and consequent time-symmetric approaches to QM we conclude that the wavefunction is extended in time as well as in space, and hence is minimally a 4-dimensional entity occupying a 4-space resembling the Block Universe. On this basis we erect a higher-dimensional spacetime framework accounting for nonlocality and retrocausality while providing insight into the origins of time, space, mass and inertia. We elucidate relativistic mass and derive the mass transformation equation according to Special Relativity from quantum mechanical and relativistic principles. The framework is shown to provide a spatial context for Kaluza’s 5D Einstein-Maxwell theory and the internal symmetries of the Standard Model.

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INTERNATIONAL JOURNAL OF ADVANCED SCIENTIFIC AND TECHNICAL RESEARCH•Aug 25, 2026•0 citations
We approach the Nature and Ontology of Spacetime by considering the properties of the wavefunction. On the basis of observed retrocausal effects and consequent time-symmetric approaches to QM we conclude that the wavefunction is extended in time as well as in space, and hence is minimally a 4-dimensional entity occupying a 4-space resembling the Block Universe. On this basis we erect a higher-dimensional spacetime framework accounting for nonlocality and retrocausality while providing insight into the origins of time, space, mass and inertia. We elucidate relativistic mass and derive the mass transformation equation according to Special Relativity from quantum mechanical and relativistic principles. The framework is shown to provide a spatial context for Kaluza’s 5D Einstein-Maxwell theory and the internal symmetries of the Standard Model.
A higher-dimensional spacetime model is proposed, accounting for nonlocal quantum phenomena while embracing Special Relativity as a limiting case. The Aspect and Megidish experiments are explained within this spacetime framework. Time is understood as spatial motion relative to higher dimensions, offering the degrees of freedom demanded by nonlocal effects along with a consistent milieu for Kaluza’s 5-dimensional Einstein-Maxwell theory. Special Relativity and quantum mechanics converge in the higher dimensions to yield the origins of mass while providing a geometrical mechanism relating mass and spacetime curvature (gravity). Part Two introduces a consciousness model within the higherdimensional spacetime framework, integrating elements of physics, psychology, philosophy and metaphysics. Evidence from dreams is shown to correspond to both the physical model and the consciousness model. A theory of perception is presented on the foregoing basis.
With scant regard for conventional paradigms we look squarely at the evidence and derive a space-time framework accounting for quantum non-locality and retro-causality. On this basis we gather insight into the origins of time, space and mass. We derive the mass-transformation formula according to Special Relativity and provide a context for the internal symmetries of the Standard Model. To provide a philosophical context we derive the central structure of the esoteric cosmological model from first principles while demonstrating its consistency with the framework. As a result of this unification, consciousness enters physics.
An operational approach to quantum mechanics has been developed in the past decades in our group in Brussels. A similar approach is taken in this work, making use of the extra operational depth offered by this approach, to show that the construction of spacetime is specific to each observer. What is usually referred to as the block universe then emerges by noting that parts of the past and future are also contained in the present, but without the limitations that a four-dimensional block universe usually implies, of a reality in which change would be impossible. In our operational approach, reality remains dynamic, with free choice playing a central role in its conceptualization. We also show that, when operationally analyzed, the theory implies that objects move not only in space, but also and especially in time, and more generally in spacetime, with their rest mass being a measure of their kinetic time energy. We therefore claim that Einstein’s relativity revolution has not been fully realized, since most physicists are not ready to accept these consequences of the theory although the formula’s showing them, when operationally analyzed, are in every relativity textbook. In particular, when relativistic motion is revisited as a genuine four-dimensional motion, it becomes possible to reinterpret the parameter c associated with the coordinate speed of light, which becomes the magnitude of the four-velocity of all material entities. We observe that this four-dimensional motion in Minkowski space can also be better understood if placed in the broader perspective of quantum mechanics, provided that non-locality is interpreted as non-spatiality, thus indicating the existence of an underlying non-spatial reality, the nature of which could be conceptual, consistent with the conceptuality interpretation of quantum mechanics. This hypothesis is reinforced by noting that when observers, or experiencers, as they will be referred to in this article, are described by acknowledging their cognitive nature of entities moving in a semantic space, Minkowski metric emerges in a natural way.
The nonlocality of entangled quantum mechanical systems is incompatible with the standard interpretation of special relativity as a single 4D Minkowskian metric spacetime. The difficulty is that the definition of a spacetime interval between any pair of events precludes any form of nonlocal interaction, even the relatively benign non-signaling correlations. By an application of the relativity principle, and the use of the space ←→ time symmetry of the Lorentz boost I propose here a reinterpretation of special relativistic spacetime. This new ontology consists of a set of coexisting 3+1D spaces (‘framespaces’), each containing unique content in the form of a complex density. These spaces are related by the Lorentz boost, and coupled pairwise in a manner dictated by the Lorentz transformation. The inter-space coupling acting on the spacetime content gives rise to a nonlocal wave phenomenon, which is identified as quantum wave mechanics. The interspace coupling strength is then inversely proportional to Planck’s constant. The coexistence of multiple spaces is interpreted as momentum superposition, implying that momentum is the fundamental physical basis of quantum superposition. This new spacetime interpretation of quantum mechanics has many consequences, including explanations of quantum non-locality, the spacetime role of Planck’s constant, quantum measurement as a symmetry-breaking process and the redundancy of description of gauge theory.
This paper introduces a theoretical framework that bridges the conceptual divide between quantum mechanics and relativity by proposing a fundamental building block of the universe: the “Space-Time* quantum.” The theory posits that every object possesses an inherent property, Time* — defined as the reciprocal of its intrinsic frequency. The Space-Time* quantum is a composite entity, consisting of a timeless space energy and a kinetic Time* energy. This framework provides a new perspective on wave-particle duality, the double-slit experiment, and quantum entanglement. It re-examines the principles of Special Relativity, offering a conceptual and visual explanation of phenomena such as time dilation and length contraction as a consequence of changes in the Space-Time quanta. The theory also provides an alternative view on the origin of the universe and the nature of gravity, suggesting that gravitational effects arise from an energy deficiency rather than a curvature of spacetime. This paper establishes a conceptual foundation for further mathematical development to test and validate these new insights.
Abstract Quantum mechanics and relativity are extraordinarily successful mathematical theories, yet their conventional physical interpretations rely on substantially different conceptual frameworks. The Theory of Space (TS) proposes a fourth dimension defined by the Planck-related interval, with interpreted as a longitudinal dimension associated with energy (cτ), rather than as the conventional Minkowski spacetime interval. This fourth dimension does not coexist continuously with the observable three spatial dimensions as a conventional four-dimensional manifold. Instead, TS proposes an oscillatory existence between observable 3D presence and a non-observable fourth-dimensional phase. Through this oscillation, the quantum system undergoes repeated dimensional projection into observable 3D, with individual eigenstates manifested probabilistically while the underlying quantum state continues to evolve. Within this framework, phenomena including measurement, the Born rule, the arrow of time, entropy, entanglement, tunneling, and Bell-type correlations acquire a common physical interpretation. Heisenberg uncertainty and non-commutativity are interpreted as consequences of physical parameters associated with different phases of the dimensional oscillation and therefore not simultaneously manifested within the same 3D instance. TS further distinguishes between the quantum system’s spatial component and its compact physical entity. Their coexistence within the complete system provides a proposed physical basis for quantum interference and phase-dependent phenomena, including the double-slit experiment and the path-integral description of quantum evolution. As an extension of the model, TS proposes that the periodic displacement and replacement of quantum space generate a pulsed inward spatial flow. This mechanism provides a possible basis for a quantized gravitational interaction and suggests that gravitational energy may be represented by a positive contribution. Related developments, including spiral spatial flows, follow naturally from the same dimensional-oscillation mechanism. The Theory of Space therefore seeks to provide a common conceptual framework for quantum, relativistic, and gravitational phenomena without replacing the established mathematical equations that successfully reproduce experimental observations. The present work develops this framework and invites critical examination of its assumptions, physical implications, and potential experimental consequences. Keywords: relativity; Lorentz transformation; quantum superposition; quantum superposition; collapse; entanglement; quantum gravity