Quantum Consepts - that can be wrong-but Usually ain't

In a previous post, I had used the Pythagorean Curvature Correction Theorem to suggest a geometric argument for gravity.  Since then, I have posted my ideas on the Coherence-Pulse Gravity Model and I want to show that the PCCT doesn't invalidate the CPGM at all. In fact, they augment each other.   1. The Modified Law of Cosines in Curved Space In Euclidean geometry the law of cosines is familiar: c 2 = a 2 + b 2 − 2 a b cos ⁡ θ . c^2 = a^2 + b^2 - 2ab\cos\theta. On a curved surface, however, the relationship between the sides of a triangle must be corrected to account for the curvature. One proposal for the modified law of cosines is a 2 + b 2 ± h   a 2 b 2 R 2 = c 2 . a^2 + b^2 \pm h\,\frac{a^2b^2}{R^2} = c^2. Here: a,   b , and c  are the side lengths of the triangle, R  is a measure of the curvature scale (for example, the radius of a sphere or the characteristic curvature for hyperbolic space), h  is a dimensionless parameter encoding c...

Abstract: We develop a mathematically rigorous, experimentally testable theory in which gravity emerges from quantum coherence pulses of electrons. In this Coherence-Pulse Gravity model, the transient curvature “pulses” produced by coherent alignment of electrons average out to reproduce ordinary gravity, while allowing small composition-dependent deviations. We present multiple independent derivations of the gravitational field equation within this framework: a statistical summation of discrete curvature pulses, a quantum field derivation with a modified stress–energy tensor from coherence dynamics, and a geometric formulation showing spacetime curvature emerging from coherent matter. All approaches yield the same modified field equations --- Einstein's equations augmented by a stress–energy component due to coherence pulses --- which is manifestly Lorentz-invariant and reduces to Einstein's theory in the high-frequency (classical) limit. We formulate an explicit stress–ene...