This article suggests a new quantum mechanical framework to investigate the relations between space-time and particles. First, we introduce a formal framework to deal with possible worlds, we say potential worlds, independent of interpretations: the quantical modal logic. This framework is compatible but simpler than multiple-world and pilot-wave interpretations and avoids ontological commitments. On this basis, we reformulate virtual particles of QFT as potential particles and, adding a few reasonable hypotheses, we show that Lorentz transformation and Special Relativity (SR) emerge as a Quantum Mechanical phenomenon, unlike Ein-stein's interpretation. This kinetic theory of SR relies mainly on a reformulation of SR without "rods and clocks". We use the same model to derive Newtonian gravitation solely from a gravitational redshift assumption. This theory drives us to suggest the trans-world gravitation hypothesis that the weight might be active between the potential worlds. If this effect is real, we show it to be experimentable with available techniques. Finally, in a speculative part of this article we explore some foreseeable consequences of the trans-world gravitation phenomenon. We suggest that it could contribute explanations for the cosmic inflation, the dark matter and the cosmological constant problem. Moreover, our kinetic theory in an expanding universe might lead to a justification of the MOND theory.
This article suggests a new quantum mechanical framework to investigate the relations between space-time and particles. First, we introduce a formal framework to deal with possible worlds, we say potential worlds, independent of interpretations: the quantical modal logic. This framework is compatible but simpler than multiple-world and pilot-wave interpretations and avoids ontological commitments. On this basis, we reformulate virtual particles of QFT as potential particles and, adding a few reasonable hypotheses, we show that Lorentz transformation and Special Relativity (SR) emerge as a Quantum Mechanical phenomenon, unlike Ein-stein's interpretation. This kinetic theory of SR relies mainly on a reformulation of SR without "rods and clocks". We use the same model to derive Newtonian gravitation solely from a gravitational redshift assumption. This theory drives us to suggest the trans-world gravitation hypothesis that the weight might be active between the potential worlds. If this effect is real, we show it to be experimentable with available techniques. Finally, in a speculative part of this article we explore some foreseeable consequences of the trans-world gravitation phenomenon. We suggest that it could contribute explanations for the cosmic inflation, the dark matter and the cosmological constant problem. Moreover, our kinetic theory in an expanding universe might lead to a justification of the MOND theory.
This paper investigates the physical, experimentable, reality of multiple worlds of Quantum Mechanics. On the basis of a reflection on the fundamental principles of physics (sec. I.A), firmly rejecting the incomprehension imperative often associated with Quantum Mechanics (sec. I.B), and strongly relying on an experimental methodology (sec. I.B) and on the superposition principle, we propose a unified interpretation of quantum physics (sec. II), the potential world modal interpretation. This framework makes multiple-world and pilot-wave interpretations converge. It also clarifies the concepts of potential world and sub-quantical potential particle. Then, we turn to Relativity and sketch out an emergence of Special Relativity without "rods and clocks" (sec. III.A) providing a cinematic and phenomenal interpretation of SR. We suggest to distinguish between given and received gravitation and reason on it at a sub-quantical level (sec. III.B) and formulate the hypothesis that weight is active between potential worlds (sec. III.C). If this effect follows the von Neumann chain, it should be observable with available techniques (sec. III.D). If correct, this hypothesis could contribute explanations for cosmic inflation, dark matter and the cosmological constant problem (sec. IV). Moreover, our cinematic interpretation of relativity in an expanding universe might lead to a justification of the MOND theory (sec. IV.B.3).
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.
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.