Universal Invariant Schrödinger Equation and Physical Foundation of Quantum Mechanics

Scale-invariant Schrödinger equation is derived from invariant Bernoulli equation for incompressible potential flow with quantum mechanics wave function defined as velocity potential of atomic peculiar velocity [1]. Implications of the theory to the resolution and modified interpretation of quantum mechanics problems, namely (1) Nature of wave function Y (2) Wave-particle duality (3) Entanglement (4) Double-slit (5) EPR and action-at-a-distance (6) Quantum-jump and Trajectory (7) Schrödinger cat problems are discussed. The results are shown to be in accordance with classical quantum gravity as dissipative deterministic dynamic system [2], de Broglie-Bohm pilot wave model of quantum mechanics [3]. Some implications of the model to quantum cosmology and perceptions of Everett regarding existence of multiverse are also examined.



[1] Sohrab, S. H., 13^th Chaotic Modeling and Simulation International Conference, Springer Proceedings in Complexity, C. H. Skiadas and Y. Dimotikalis (eds,), Springer Nature, Switzerland, 2021.

[2] ‘t Hooft, G., Class. Quantum Grav. 16, 3263 (1999).

[3] Bell, J. S., On the Foundation of Quantum Mechanics, Editors: M. Bell, K. Gottfried, & M. Veltman, World Scientific, 2001.