Noyes QUANTIZED CONIC SECTIONS ; QUANTUM GRAVITY

Abstract

Starting from free relativistic particles whose position and velocity can only be measured to a precision < ArAv >Z ftc/2 meter’sec-‘, we use the relativistic conservation laws to define the relative motion of the coordinate r = r1 r2 of (h-kz) * two particles of mass ml, m2 and relative velocity v = ,Bc = (L1+lcZ) m terms of the conic section equation v ’ = I’[2 f 11 where “+” corresponds to hyperbolic and “-” to elliptical trajectories. The Jquaiion is quantized by expressing Kepler’s Second Law as the conservation of angular momentum per unit mass in units of n. Then the principal quantum number is n E j + f with “square” 6 = (n l)nK2 E &([a + 1)~‘. Here & = n 1 is the angular momentum quantum number for circular orbits. In a sense, we obtain “spin” from this quantization. Since IT/a cannot reach c2 without predicting either circular or asymptotic velocities equal to the limiting velocity for particulate motion, we can also quantize velocities in terms of the principle quantum number by defining ,8: = $ = $(A) = ($-)2. For the Coulomb case with charges Zle, Zze of the same sign and Q e2/m,,c, we find that I’/c2a = 21&a. The characteristic Coulomb parameter q(n) E Z~&CY/,& = Zl.Z$Nr then specifies the penetration factor C2(q) = 27rq/(e2”q 1). For unlike charges, with q still taken as positive, C2(-77) = 27rq/(l ew2*q). For gravitation F/c?.a = rnlrnacuc/rnfj with CWG = Gmy/tw. Relativistic quantum mechanics is recovered if the smallest distance which can be measured electrodynamically is Al = Ii/2 172,~ or K: = h/m, The starting point for quantum electrodynamics is achieved by taking CY = e2/m,,c + e2/hc M l/137. We extend our previous result for the hydrogen spectrum to Coulomb scattering. The starting point for quantum gravity is given by taking CYG = Gmp/Kc + Gmifhc E 1/(2127+136). 0 ur d erivation of “spin” from Kepler’s second law allows us to show that the classical tests of General Relativity are met. If we postulate crossing symmetry rather than just CPT, we predict that free anti-matter near the surface of the earth will “fall” up.

1 Figure or Table

Cite this paper

@inproceedings{Noyes1993NoyesQC, title={Noyes QUANTIZED CONIC SECTIONS ; QUANTUM GRAVITY}, author={H . Pierre Noyes}, year={1993} }