A Gravitized Standard Model Is Found as the Solution to the Problem of Maximizing the Entropy of All Geometric Measurements


In modern theoretical physics, the laws of physics are directly represented with axioms (e.g., the Dirac--Von Neumann axioms, the Wightman axioms, Newton's laws of motion). Although in logic axioms are held to be true merely by definition, in physics the laws are entailed by laboratory measurements. This difference is sufficient to warrant a more appropriate logical structure than axioms to represent the laws of physics. This paper first presents this logical structure and then demonstrates its supremacy. Specifically, an optimization problem on the entropy of all geometric measurements is introduced. Its solution is an optimized version of the Dirac--Von Neumann axioms that automatically restricts its observables to no more than the standard model group symmetry SU(3) and SU(2) x U(1) while simultaneously extending its probability measure to admit the Einstein Field equations as its equations of motion (i.e., it is a “gravitized” standard model). Remarkably, this result only holds in four-dimensions.

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