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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]
Copyright of Physics Essays is the property of Physics Essays Publication and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: The inverse fine structure constant, Planck mass, and Newton's gravitational constant.
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  Data: <searchLink fieldCode="AR" term="%22Casey%2C+Terry%22">Casey, Terry</searchLink><i> terry.casey@telus.net</i>
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  Data: <searchLink fieldCode="JN" term="%22Physics+Essays%22">Physics Essays</searchLink>. Mar2026, Vol. 39 Issue 1, p20-22. 3p.
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  Data: <searchLink fieldCode="DE" term="%22Fine-structure+constant%22">Fine-structure constant</searchLink><br /><searchLink fieldCode="DE" term="%22Gravitational+constant%22">Gravitational constant</searchLink><br /><searchLink fieldCode="DE" term="%22Planck+scale%22">Planck scale</searchLink><br /><searchLink fieldCode="DE" term="%22Mass+%28Physics%29%22">Mass (Physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Physical+constants%22">Physical constants</searchLink><br /><searchLink fieldCode="DE" term="%22Protons%22">Protons</searchLink><br /><searchLink fieldCode="DE" term="%22Empirical+research%22">Empirical research</searchLink><br /><searchLink fieldCode="DE" term="%22Neutrons%22">Neutrons</searchLink>
– Name: Abstract
  Label: Abstract (English)
  Group: Ab
  Data: 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]
– Name: Abstract
  Label: Abstract (French)
  Group: Ab
  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Physics Essays is the property of Physics Essays Publication and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.4006/0836-1398-39.1.020
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      – Code: eng
        Text: English
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    Subjects:
      – SubjectFull: Fine-structure constant
        Type: general
      – SubjectFull: Gravitational constant
        Type: general
      – SubjectFull: Planck scale
        Type: general
      – SubjectFull: Mass (Physics)
        Type: general
      – SubjectFull: Physical constants
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      – SubjectFull: Protons
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      – SubjectFull: Empirical research
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      – SubjectFull: Neutrons
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              Text: Mar2026
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              Y: 2026
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