Global Journal of Science Frontier Research, A: Physics and Space Science, Volume 23 Issue 1

This can be verified by performing the transformation process on the 2018 Codata value of the electron charge to mass ratio of 1.758 x 10 11 C / kg, as follows. Rearranging a portion of equation 10 and substituting the Codata 2018 value for the electron charge “e” gives p e / e = (13.97 m 2 s -1 ) / (1.602 x 10 -19 C) = 8.72 x 10 19 m 2 s -1 C -1 (21A) and from equation (1) 1kg =∫= 1kg (10 3 gm / 1kg)(6.022 x 10 23 / mole)(10 -2 m gm -1 ) = 6.02 x 10 24 m (21B) then, 1.758 x 10 11 C m -1 =∫= [(1.758 x 10 11 C) (8.72 x 10 19 m 2 s -1 C -1 )] / (6.02 x 10 24 m) = 2.546 x 10 6 m s -1 (21C) showing the enduring value of the process and confirmation of the value of the charge to mass ratio and thus of the magnetic wave speed intrinsic to charge, W k , per equation 21. Returning to the Electrostatic System of Units of charge as mentioned above in equation (9) and repeated here for reference, q = M 0.5 L 1.5 T -1 =∫= L 2 T -1 = p e (9) squaring both sides q 2 = ML 3 T -2 =∫= L 4 T -2 = p e 2 (22) and solving for M results in M = q 2 / L 3 T -2 =∫= p e 2 / L 3 T -2 = L (23) Whereas, as we have seen from equation 21, the electron mass is part not only of the mass-energy of the electron, but of its very charge structure (p e = λ e W k ), it can also be obtained from dimensional equation 22 (and the squared superimposition of charges) by invoking the proportionality of the fine structure constant, if the term (L 3 T -2 ) is made to equal the electron mass-energy λ e = (100 α -1 ) p e 2 / E = (W x / W k ) p e 2 / E (24) But in the absence of such a proportionality invocation, what results is the very wavelength characteristic of the electron's magnetic wavefunction W k : λ h = p e 2 / E = (13.970 m 2 s -1 ) 2 / (4.930 x 10 11 m 3 s -2 ) = 3.958 x 10 -10 m (25) This immediately allows the determination of the magnetic wavefunction frequency [6] specifically characteristic of the electron: υ k = W k / λ h = (2.547 x 10 6 m s -1 ) / (3.958 x 10 -10 m) = 6.433 x 10 15 s -1 (26) This analytical methodology leads to a totally new and strictly electric expression of the electron mass- energy, where basic components and their functions define its fine structure: E = m e c 2 =∫= λ e c 2 = p e W x = λ e W k W x = λ e ( λ h υ k ) ( λ x υ ce ) = (5.486 x 10 -6 m) [(3.958 x 10 -10 m)(6.433 x 10 15 s -1 )] x [(2.856 x 10 -10 m) (1.236 x 10 20 s -1 )] = 4.930 x 10 11 m 3 s -2 (27) Evidently, the wavefunctions W k and W x are not electromagnetic, since the W x wave speed exceeds the speed of light [6]. In effect, it describes the wave speed of the flux in each of the rings of a torus, just as the magnetic wave speed describes the equatorial velocity of the rings with respect to the center of the torus. As such, the radii of the two circular wavelengths are calculated in the normal manner: © 2023 Global Journals 1 Year 2023 4 Global Journal of Science Frontier Research Volume XXIII Issue ersion I VI ( A ) The Toroidal Fine-Structure of the Electron