Quantum Gravity and String Theory

   

The SRQM Interpretation of Quantum Mechanics & A Tensor Study of Physical 4-Vectors

Authors: John B. Wilson

Using Special Relativity (SR) as a starting point, then noting a few empirical 4-Vector facts, one can derive the Principles that are normally considered to be Axioms of Quantum Mechanics (QM). Since many of the QM Axioms are rather obscure, this seems a more logical and understandable paradigm than QM as a separate theory from SR, and sheds light on the origin and meaning of the QM Principles. For instance, the properties of SR can be “quantized by the Metric”, while SpaceTime & the Metric are not themselves “quantized”, in agreement with all known experiments and observations to-date. The SRQM or [SR→QM] Interpretation of Quantum Mechanics: A Tensor Study of Physical 4-Vectors. I also introduce the SRQM Diagramming Method: an instructive, graphical charting-method, which visually shows how the SRQM 4-Vectors, Lorentz 4-Scalars, and 4-Tensors are all related to each other. This symbolic representation clarifies a lot of physics and is a great tool for teaching and understanding. The use of 4-Vectors allows many deep results simply by noticing symmetries in the equations. 4-Vectors = 4D (1,0)-Tensors are a fantastic language/tool for describing the physics of both relativistic and quantum phenomena. They easily show many interesting properties and relations of our Universe, and do so in a simple and concise mathematical way. Due to their tensorial nature, these SR 4-Vectors are automatically coordinate-frame invariant, and can be used to generate *ALL* of the physical SR Lorentz Scalar (0,0)-Tensors and higher-rank SR Tensors. Let me repeat: You can mathematically build *ALL* the Lorentz Scalars and larger SR Tensors from SR 4-Vectors. 4-Vectors are likewise easily shown to be related to the standard 3-vectors that are used in Newtonian classical mechanics, Maxwellian classical electromagnetism, and standard quantum theory. Each 4-Vector also connects a special relativistically-related scalar to a 3-vector: ex. Temporal energy (E) & Spatial 3-momentum (p) as 4-Momentum P = (E/c,p). Why 4-Vectors as opposed to some of the more abstract mathematical approaches to Quantum Mechanics (QM)? Because the components of 4-Vectors are physical properties that can actually be empirically measured. Experiment is the ultimate arbiter of which theories actually correspond to reality. If your quantum logics and string theories give no testable/measurable predictions, then they are basically useless for real, actual, empirical physics. In this treatise, I will first extensively demonstrate how 4-Vectors are used in the context of Special Relativity (SR),and then show that their use in Relativistic Quantum Mechanics (RQM) is really not fundamentally different. Quantum Principles, without need of QM Axioms, then emerge in a natural and elegant way.

Comments: 261 pages at time of last submission

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Submission history

[v1] 2019-07-03 08:55:26
[v2] 2019-08-02 06:50:50
[v3] 2019-09-09 15:17:08
[v4] 2019-10-01 10:11:24
[v5] 2019-11-04 15:14:18
[v6] 2019-12-05 09:46:30
[v7] 2020-01-02 14:16:32
[v8] 2020-02-01 06:31:44
[v9] 2020-02-07 14:30:03
[vA] 2020-03-02 05:31:17
[vB] 2020-04-03 07:02:41
[vC] 2020-05-03 08:58:21
[vD] 2020-06-01 20:11:35

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