Dolce, D. Is Time a Cyclic Dimension? Canonical Quantization Implicit in Classical Cyclic Dynamics. Annals of Physics 2023, 448, 169182, doi:10.1016/j.aop.2022.169182.
Dolce, D. Is Time a Cyclic Dimension? Canonical Quantization Implicit in Classical Cyclic Dynamics. Annals of Physics 2023, 448, 169182, doi:10.1016/j.aop.2022.169182.
Dolce, D. Is Time a Cyclic Dimension? Canonical Quantization Implicit in Classical Cyclic Dynamics. Annals of Physics 2023, 448, 169182, doi:10.1016/j.aop.2022.169182.
Dolce, D. Is Time a Cyclic Dimension? Canonical Quantization Implicit in Classical Cyclic Dynamics. Annals of Physics 2023, 448, 169182, doi:10.1016/j.aop.2022.169182.
Abstract
If "quantization is an art" then it can be greatly re ned by adopting cyclic time formalism. In past papers we have proven the effectiveness of a formulation of physics based on cyclic relativistic time. Now we can demonstrate in a general way, by using theorems of Geometric Quantization, that the Poisson brackets of intrinsically cyclic time dynamics directly imply the ordinary canonical commutation relations and the other Dirac's rules of canonical Quantum Mechanics. In other words, according to our result, canonical quantization is an implicit way of imposing intrinsically cyclic time dynamics without explicitly saying that time is a cyclic dimension.
Keywords
Foundations of physics; Foundations of quantum mechanics; Geometric quantization; Canonical quantization; Relativistic time; Time Crystal
Subject
Physical Sciences, Theoretical Physics
Copyright:
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