Topology of Black Holes’ Horizons

Emerging Science Journal

Arturo Tozzi¹  James F Peters² 

[1] Center for Nonlinear Science, University of North Texas, 1155 Union Circle, 311427, Denton, TX 76203-5017,;Department of Electrical and Computer Engineering, University of Manitoba, 75A Chancellor’s Circle, Winnipeg, MB R3T 5V6,;

关键词: Borsuk-Ulam Theorem;    Antipodal Points;    Quantum Entanglement;    Holographic Principle;    t’Hooft;    Möbius Strip.;   

DOI  :  10.28991/esj-2019-01169

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown