A Geometric Theory of Quantum Measurements Automatically Yielding the Standard Model and Gravity in 4D, with Disruptions Beyond

Abstract

We present a geometric theory of quantum measurements, serving as a nexus where quantum probabilities and spacetime geometry converge. Central to our theory is the 'Prescribed Measurement Problem,' an algorithm extending the entropy maximization problem of statistical physics into the quantum and geometric domains. By employing this algorithm, we systematically extrapolate a generalized theory of quantum measurements based on the measurement entropy of geometric measurements, leading to the natural emergence of general relativity and the Standard Model as inherent outcomes. Interestingly, the theory remains coherent exclusively within four-dimensional spacetime, encountering intrinsic disruptions when extended beyond these dimensions, thus providing a quantum-geometric justification for the four-dimensionality of our universe.

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2021-08-05

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