Relativity is reframed in an “object-centric” description that takes the object’s Compton frequency as primary and treats observer-dependent kinematics as alternative decompositions of a single underlying motion. Compton and de Broglie wavelengths are treated as coupled consequences of motion in an expanding, globally four-dimensional hyperspherical cosmos. A fundamental quantum action step is assumed, so the discrete proper-time interval defines an intrinsic Compton stride, the distance an object is carried with the expanding cosmic hypersurface during each update. The de Broglie wavelength then arises as the relational projection of that same stride into coherent patterning along the locally three-dimensional hypersurface. The associated traveling-wave form, sourced on the past light cone, parallels the structure of free-space electromagnetic traveling fields, and in quasi-static limits naturally yields inverse-square behavior. Implications for intrinsic spin and zitterbewegung are outlined, and connections to entanglement are noted. A new ontological account of time is proposed.
Relativity is reframed in an “object-centric” description that takes the object’s Compton frequency as primary and treats observer-dependent kinematics as alternative decompositions of a single underlying motion. Compton and de Broglie wavelengths are treated as coupled consequences of motion in an expanding, globally four-dimensional hyperspherical cosmos. A fundamental quantum action step is assumed, so the discrete proper-time interval defines an intrinsic Compton stride, the distance an object is carried with the expanding cosmic hypersurface during each update. The de Broglie wavelength then arises as the relational projection of that same stride into coherent patterning along the locally three-dimensional hypersurface. The associated traveling-wave form, sourced on the past light cone, parallels the structure of free-space electromagnetic traveling fields, and in quasi-static limits naturally yields inverse-square behavior. Implications for intrinsic spin and zitterbewegung are outlined, and connections to entanglement are noted. A new ontological account of time is proposed.
A new, very different physical model of the universe is proposed. Its virtues include unifying relativity and quantum mechanics, and particles with de Broglie waves. It also appears to provide a truly unified physical basis for electromagnetic, gravitational and nuclear forces. The basic system is a four-dimensional Euclidean space, containing an array of nonlinear "flow" waves. These repeat in one dimension, called [phi]. As in Newtonian mechanics, time is treated as an additional, unidirectional parameter describing the evolution of the system. Nevertheless, this wave system is shown be inherently relativistic. Further self-organizing patterns arise within the overall wave structure. Called "wavicles," these have intrinsic quantized fields, "spin," and rest energy, and represent elementary particles. Relativistic expressions are derived for particle behavior in scalar, vector and gravitational potentials. Proper representations of these potentials, based on the wave fields and associated [phi] flows of wavicles, are also obtained. As in the causal quantum mechanics of de Broglie and Bohm, wavicles exist continuously and follow definite, stochastic trajectories. Although experimentally equivalent to Einstein's special relativity, this theory differs fundamentally from his general relativity and the associated Big Bang model. According to Linde, the latter predict a large-scale space-time curvature roughly 60 orders of magnitude greater than observed values. Here a flat large-scale geometry is predicted, in agreement with the observed distribution of galaxies. This theory is also consistent with recent observations pertaining to the age of the universe.
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.
This proposal develops a conceptual reinterpretation of spatial and temporal structure in physics. Rather than treating space and time as fundamental entities, the model posits that only discrete states of physical systems and their mutual action-relations (quantised in units of Planck's constant h) are fundamental. Space, time, distance and velocity emerge as geometric representations that observers reconstruct from these relational structures. The approach reproduces established resultsthe de Broglie wavelength, Kepler orbit quantisation, and the speed of light as a structural propagation limitwithout introducing new dynamics. It reinterprets quantum uncertainty as a structural property of discrete states, describes entanglement as a direct action-relation prior to space, and suggests a naturally nite yet unbounded cosmos. A paradoxical space scenario is analysed in which the perceived spatial structure between two large masses increases even as their geometric distance decreases. The proposal is not a competing physical theory but a reconstructive ontological reading of known mathematical structures in classical and semiclassical mechanics, oered as a basis for further investigation.
This paper presents a novel theory of wave mechanics derived from a re-examination of the foundations of relativity. By expanding the traditional linear transformation ansatz to include a vector-valued temporal component, we demonstrate that Einstein's postulates, coupled with the principle of single-valued time, are sufficient to predict wave-like, quantizable behavior in particle motion. This approach naturally leads to a Clifford algebra framework and reveals the necessity of a dynamic, higher-dimensional temporal space. We derive Lorentz transformations and demonstrate the origin of the spacetime metric's signature. Furthermore, we obtain relations analogous to De Broglie's and show compatibility with Planck's distribution law. Notably, our theory provides a unified framework for spin-0 and spin-1/2 particles and offers a complete, normalized solution for a particle at rest, resolving a long-standing challenge in quantum mechanics. The inherent coupling of the Einstein Field Equations with the derived wave equation suggests potential implications for cosmology, including alternative explanations for dark matter and MOND. This work establishes a foundation for a new, consistent, and intuitive understanding of the quantum world, with experimentally testable predictions that distinguish it from conventional quantum mechanics.
This paper presents a novel theory of wave mechanics derived from a re-examination of the foundations of relativity. By expanding the traditional linear transformation ansatz to include a vector-valued temporal component, we demonstrate that Einstein's postulates, coupled with the principle of single-valued time, are sufficient to predict wave-like, quantizable behavior in particle motion. This approach naturally leads to a Clifford algebra framework and reveals the necessity of a dynamic, higher-dimensional temporal space. We derive Lorentz transformations and demonstrate the origin of the spacetime metric's signature. Furthermore, we obtain relations analogous to De Broglie's and show compatibility with Planck's distribution law. Notably, our theory provides a unified framework for spin-0 and spin-1/2 particles and offers a complete, normalized solution for a particle at rest, resolving a long-standing challenge in quantum mechanics. The inherent coupling of the Einstein Field Equations with the derived wave equation suggests potential implications for cosmology, including alternative explanations for dark matter and MOND. This work establishes a foundation for a new, consistent, and intuitive understanding of the quantum world, with experimentally testable predictions that distinguish it from conventional quantum mechanics.
This paper presents a novel theory of wave mechanics derived from a re-examination of the foundations of relativity. By expanding the traditional linear transformation ansatz to include a vector-valued temporal component, we demonstrate that Einstein's postulates, coupled with the principle of single-valued time, are sufficient to predict wave-like, quantizable behavior in particle motion. This approach naturally leads to a Clifford algebra framework and reveals the necessity of a dynamic, higher-dimensional temporal space. We derive Lorentz transformations and demonstrate the origin of the spacetime metric's signature. Furthermore, we obtain relations analogous to De Broglie's and show compatibility with Planck's distribution law. Notably, our theory provides a unified framework for spin-0 and spin-1/2 particles and offers a complete, normalized solution for a particle at rest, resolving a long-standing challenge in quantum mechanics. The inherent coupling of the Einstein Field Equations with the derived wave equation suggests potential implications for cosmology, including alternative explanations for dark matter and MOND. This work establishes a foundation for a new, consistent, and intuitive understanding of the quantum world, with experimentally testable predictions that distinguish it from conventional quantum mechanics.