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James F Peters
Department of Electrical and Computer Engineering, University of Manitoba, 75A Chancellor’s Circle, Winnipeg, MB R3T 5V6,
Environmental Science

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Journal : Emerging Science Journal

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Topology of Black Holes’ Horizons Arturo Tozzi; James F Peters
Emerging Science Journal Vol 3, No 2 (2019): April
Publisher : Ital Publication

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1060.585 KB) | DOI: 10.28991/esj-2019-01169

Abstract

The Möbius strip spacetime topology and the entangled antipodal points on black hole surfaces, recently described by ‘t Hooft, display an unnoticed relationship with the Borsuk-Ulam theorem from algebraic topology.  Considering this observation and other recent claims which suggest that quantum entanglement takes place on the antipodal points of a S3 hypersphere, a novel topological framework can be developed: a feature encompassed in an S2 unentangled state gives rise, when projected one dimension higher, to two entangled particles.  This allows us to achieve a mathematical description of the holographic principle occurring in S2.  Furthermore, our observations let us to hypothesize that a) quantum entanglement might occur in a four-dimensional spacetime, while disentanglement might be achieved on a motionless, three-dimensional manifold; b) a negative mass might exist on the surface of a black hole.
Co-Authors Arturo Tozzi