Permittivity ε0 is a parameter that defines the properties of vacuum and any quantity smaller than ε0 is ruled out. However, the characteristics of the Planck particle seem to suggest a permittivity εp which is approximately 0.3% lower than permittivity ε0. The exact determination of permittivity εp implies a complete description of the Planck particle and the birth of the electron, which can be viewed as the manifestation of the Planck particle in our world. The existence of the Planck permittivity εp will provide additional information on the nature of vacuum and allow new relationships to be established between the electron gravitational and electric forces, thus validating dimensionally, and numerically with a 1% difference, the seemingly impossible equation G me2 ≈ π e2ε0 3. Furthermore, the intrinsic granularity at the Planck scale is simply ignored in our everyday experience, and certain quantities may have an additional time dimension when dealing with the Planck particle, however, such dimension would not be observable in our macro world.
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D. Di Mario (2026) studied this question.
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