Saturday, July 25, 2020

UNIFIED REPRESENTATION

One way of describing, or accounting for, the Eddington ratios, in their mathematical approximant forms, would be to construct a 5th-order polynomial equation, in which the 5 roots of such an equation would just correspond to the 5 mathematical approximants, with powers of 10 truncated off of them. Such a 5th-order polynomial equation, in a factored form, would be: (x - a)(x - b)(x - c)(x - d)(x - e) = 0...where a, b, c, d, e are the corresponding Eddington constants alpha, beta, gamma, delta, epsilon. The factored form, thus, could be multiplied out to its 5th-order form, and it could thus be plotted in the Cartesian x-y plane for clarity and illustration and for further mathematical analysis. It also is to be noted that there may be Eddington ratios of: (a) mass(x)time over mass(x)time (b) force(x)time over force(x)time (c) force(x)mass over force(x)mass...to accompany (i) length(x)time over length(x)time...which is alpha, and (ii) force(x)length over force(x)length...which is epsilon...MJB

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