Special Relativity and Quantum Physics

Euan J. Squires

Timothy D. Sanders

Dennis Kahan

Despite nearly a century of development, quantum theories that address the special relativity-quantum mechanics tension still struggle with limited explanatory depth. Given the fundamental differences between the two core theories, this is not surprising. Quantum theories that rely on mathematical constructs to explain particle or quantum state dynamics often struggle to reconcile with special relativity’s constraints in a physical 4D spacetime. This paper explores the explanatory depth of a tightly integrated, physically grounded approach to reconciling special relativity and quantum mechanics based on a dual ontology framework where a discrete 4D spacetime and an ultra-high-dimensional space are integrated facets of a physically unified universe. The approach provides a theoretical framework that adheres to special relativity’s laws, conforms with quantum experiments challenging special relativity’s constraints, and establishes a physical one-to-one correspondence between quantum phenomena across both dimensions. The strength of the analysis lies in its physical explanatory depth. Without relying on ad hoc, fine-tuning, or perturbative techniques, the model examines physical solutions for some of the most challenging special relativity-quantum mechanics problems, including (1) quantum entanglement and nonlocality, (2) the instantaneity of quantum collapse, (3) causality, (4) the nature of time, (5) quantum state localization, (6) ) quantum tunneling, (7) the relativity of simultaneity, (8) relativistic energy increase, and (9) the Born Rule's relationship to special relativity’s constraints.

Y. S. Kim, Marilyn E. Noz

Francis R. Halpern

Alan Hugh Cook

The standards of measurement employed in physics are arbitrary; it is shown that in consequence, the equations of motion in classical and quantum mechanics ere linear first order differential equations and that macroscopic phenomena obey the transformations of special relativity. The relations of these statements to microscopic evidence for special relativity and to conservation laws are considered. The physical reasons for the choice of a number of independent physical standards are discussed. The use of quantum phenomena to establish standards of measurements is described and related to the occurrence of fundamental quantum constants of physics.