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Cantor’s 'Cardinality of the Continuum' is False in Non-Euclidean Geometries

Autor: Ayal Sharon

Publikováno v: SSRN Electronic Journal.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::11f5c7e63190a38ebd670a383ca31239
https://doi.org/10.2139/ssrn.4028182

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Quantum Electrodynamics (QED) Renormalization is a Logical Paradox, Zeta Function Regularization is Logically Invalid, and Both are Mathematically Invalid

Autor: Ayal Sharon

Quantum Electrodynamics (QED) renormalizaion is a paradox. It uses the Euler-Mascheroni constant, which is defined by a conditionally convergent series. But Riemann's series theorem proves that any conditionally convergent series can be rearranged to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d5d8160c2d951f5c5f21d62824f0414c
http://arxiv.org/abs/2001.04282

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The ‘Cardinality of the Continuum’ Is False in Non-Euclidean Geometries

Autor: Ayal Sharon

Publikováno v: SSRN Electronic Journal.

According Georg Cantor's "Cardinality of the Continuum", as proved in Euclidean geometry, any line segment (not inclusive of its two end points) has as many points as an entire line. This theorem is an underlying assumption of the "Continuum Hypothes

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::97c8ed03b7f47d2c29378b80cbb811ce
https://doi.org/10.2139/ssrn.3561326

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Propositional Logic Applied to Three Contradictory Definitions of the Zeta Function

Autor: Ayal Sharon

Publikováno v: SSRN Electronic Journal.

The paper discusses the following contradictions: (1) Contradictory definitions of the Zeta function. These three definitions of the Zeta function contradict each other: the Dirichlet series, Riemann’s Zeta function, and a third definition that is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::dd1174ccb43f6192ec36f6968de7cd5e
https://doi.org/10.2139/ssrn.3450279

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