The inverse fine structure constant, Planck mass, and Newton's gravitational constant.

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Title: The inverse fine structure constant, Planck mass, and Newton's gravitational constant.
Authors: Casey, Terry terry.casey@telus.net
Source: Physics Essays. Mar2026, Vol. 39 Issue 1, p20-22. 3p.
Subjects: Fine-structure constant, Gravitational constant, Planck scale, Mass (Physics), Physical constants, Protons, Empirical research, Neutrons
Abstract (English): The exponent of the inverse fine structure constant, exp α-1, used in conjunction with various combinations of the neutron, proton, and electron masses, permits the calculation of Planck mass as mPL = √ħc/G = 2.176 433 6(52) × 10-8 kg, where Newton's gravitational constant is G = 6.674 305(32) × 10-11 m³ kg-1 s-2, in excellent agreement with the 2024 experimental and statistical data which give G = 6.674 30(15) × 10-11 m³ kg-1 s-2. [ABSTRACT FROM AUTHOR]
Abstract (French): L'exposant de l'inverse de la constante de structure fine, expa utilisé conjointement avec diverses combinaisons des masses du neutron, du proton et de l'électron, permet le calcul de la masse de Planck, MPL/hc/G2.1764336(52) x 10-8 kg où la constante gravitationnelle de Newton est G6.67430(15)×10-11 m³ kg-1 s² en excellent accord avec les données expérimentales et statistiques de 2024 qui donnent, G 6.67430(15) x 10-11 m³ kg-1s-2. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:The exponent of the inverse fine structure constant, exp α-1, used in conjunction with various combinations of the neutron, proton, and electron masses, permits the calculation of Planck mass as mPL = √ħc/G = 2.176 433 6(52) × 10-8 kg, where Newton's gravitational constant is G = 6.674 305(32) × 10-11 m³ kg-1 s-2, in excellent agreement with the 2024 experimental and statistical data which give G = 6.674 30(15) × 10-11 m³ kg-1 s-2. [ABSTRACT FROM AUTHOR]
ISSN:08361398
DOI:10.4006/0836-1398-39.1.020