Mathematical Constants of Natural Philosophy

Mathematical Constants of Natural Philosophy

– Michael A. Sherbon

Abstract: Plato’s theory of everything is an introduction to a Pythagorean natural philosophy that includes Egyptian sources. The Pythagorean Table and Pythagorean harmonics from the ancient geometry of the Cosmological Circle are related to symbolic associations of basic mathematical constants with the five elements of Plato’s allegorical cosmology: Archimedes constant, Euler’s number, the polygon circumscribing limit, the golden ratio, and Aristotle’s quintessence. Quintessence is representative of the whole, or the one in four, extraneously considered a separate element or fifth force. This relationship with four fundamental interactions or forces also involves the correlation of constants with the five Platonic solids: tetrahedron, hexahedron, octahedron, icosahedron, and dodecahedron. The values of several fundamental physical constants are also calculated, and a basic equation is given for a unified physical theory in the geometric universe of Plato’s natural philosophy.

SSRN Classics: Journal of Philosophical & Scientific Texts (July 21, 2010) SSRN: 1646568

Classical Quintessence

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Classical Quintessence and the Cosmological Constant by Michael A. Sherbon

Abstract: From the cosmology of classical quintessence and the Cosmological Circle of ancient geometry, quintessence is calculated as the primary fundamental physical constant. The role of the fine-structure constant in quantum electrodynamics is briefly discussed and the same value for inverse alpha, the inverse fine-structure constant found in previous work, is confirmed. Then the cosmological constant is calculated, confirming a recent theoretical prediction related to the fine-structure constant and the cosmological constant.

SSRN Classics: Journal of Philosophical & Scientific Texts (12 July 2009)   SSRN: 1433068

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