Expression of the uncertainty principle as the curvature of space
DOI:
https://doi.org/10.51094/jxiv.1330Keywords:
Uncertainty relations, complex manifolds, Cauchy-Schwarz inequality, redshift, time dilationAbstract
We describe a general covariant uncertainty relation.We introduce a vector that has a special relationship on a complex manifold represented by a Hermitian metric tensor,and show that the Cauchy-Schwarz inequality for this vector connects it to the curvature of space in a general covariant form.The uncertainty relation obtained by such a mechanism is related to the curvature of space, but is a general covariant relation.We describe a model that uses this relationship to reproduce the uncertainty principle of quantum theory,and the phenomena predicted by this model.
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Submitted: 2025-06-25 04:47:53 UTC
Published: 2025-06-26 10:29:40 UTC
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