This study presents a unique set of solutions, using empirically determined physical quantities, in achieving a novel dimensionless constant α(1/Roo )/PL from the ratio of the inverse of the Rydberg constant to the Planck length. It is henceforth shown that the Lorentz Scalar coming into play, which we dub the Parana constant, necessitates us to interpret the Gravitational constant G as being neither universal nor Lorentz Invariant. Just the same, the elementary charge in the MKS system should not by itself be considered as Lorentz Invariant, but the term e^2 / εo , including its powers, ought to be. That being the case, the “Rydberg constant” must not, according to the present undertaking, be deemed a ubiquitous magnitude either, but the ratio of its reciprocal to Planck length would, in effect, be. The Parana constant is furthermore shown to exhibit meaningfulness as the proportion of the Planck mass to the electron rest mass. Throughout our derivations, we take the oppurtunity to reveal interesting features and deliberate over them.
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[v1] 2018-05-26 08:49:42
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