The Natural Unit Expression of Classical Gravity

David Humpherys

doi:10.20944/preprints202212.0088.v2

Preprint Article Version 2 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 4 December 2022 / Approved: 6 December 2022 / Online: 6 December 2022 (02:26:11 CET)
Version 2 : Received: 8 May 2023 / Approved: 9 May 2023 / Online: 9 May 2023 (07:41:44 CEST)

The gravitational constant is equivalent to natural units in its six unit dimensions. Evaluating the classical formulas in each unit dimension shows how inputs of mass and radius are transformed into the correct unit dimensions and magnitude of gravitational potential. Mass and radial distance are equivalent proportions of the Planck scale as the potentials they produce. Gravitational potentials of velocity, acceleration, energy, and force are proportional to a radial density limit of one Planck mass per Planck length of radial distance.

gravitational constant; classical gravity; Planck units; natural units; radial density; Schwarzschild radius

Physical Sciences, Astronomy and Astrophysics

Comment 1

Received: 9 May 2023
Commenter: David Humpherys
Commenter's Conflict of Interests: Author

Comment: I expanded the opening two sections to explain the natural unit scale and demonstrate how the classical gravity formulas transform formula inputs into the correct magnitude and unit dimensions of gravitational phenomena. I also improved the explanation of physical structures represented in each unit dimension of the formulas.

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The Natural Unit Expression of Classical Gravity

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