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Finding the Planck Length From Electron and Proton Fundamentals

Espen Gaarder Haug

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Abstract

We suggest a way to find the Planck length by finding the Compton wavelength of the electron from Compton scattering, and then measuring the proton-electron ratio using cyclotron frequency. This gives us the Planck length using a Cavendish apparatus with no knowledge of Newton's gravitational constant. The Planck length is indeed important for gravity, but Newton's gravitational constant is likely a composite constant.

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What this paper is about

We suggest a way to find the Planck length by finding the Compton wavelength of the electron from Compton scattering, and then measuring the proton-electron ratio using cyclotron frequency. This gives us the Planck length using a Cavendish apparatus with no knowledge of Newton's gravitational constant. The Planck length is indeed important for gravity, but Newton's gravitational constant is likely a composite constant.

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Available abstract

We suggest a way to find the Planck length by finding the Compton wavelength of the electron from Compton scattering, and then measuring the proton-electron ratio using cyclotron frequency. This gives us the Planck length using a Cavendish apparatus with no knowledge of Newton's gravitational constant. The Planck length is indeed important for gravity, but Newton's gravitational constant is likely a composite constant.

Key concepts: Physics, Planck length, Planck, Compton wavelength, Planck energy, Electron, Planck mass, Gravitational constant

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