Mathematical Physics


The Borsuk-Ulam Theorem: an Universal Principle for Physical Systems

Authors: Arturo Tozzi, James F Peters

The Borsuk-Ulam Theorem (BUT) states that a single point, if embedded in one spatial dimension higher, gives rise to two antipodal points with matching descriptions and similar features. Novel BUT variants allow the assessment of countless physical systems, from entropies to quantum entanglement. We argue that BUT, cast in a quantitative fashion which has the potential of being operationalized, is a universal principle underlying a number of natural phenomena.

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[v1] 2016-10-19 03:43:29

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