PHYSICS Journal: Theoretical and Experimental Studies (ISSN: 3142-8320)
Research Article Volume: 2 & Issue: 4
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Abstract
Newton’s gravitational constant G is measured but has never been derived from more fundamental quantities. Within the baryonic expansion framework developed by the author since 1990, we examine how G is related to the proton’s mass, radius and internal pressure. The principal findings are three. (i) Applying the author’s 1993 expansion equation to the proton and comparing the result with the acceleration its internal pressure (≈1035 Pa) would produce in the absence of confinement defines a confinement leakage factor k ≈ 3 × 10-40.
(ii) G is then bound to proton quantities by the exact relation G = 4π k Pp rp4 / mp2.
(iii) Because Pp rp4 ≈ 1.6 h-bar c, the leakage factor equals the proton’s gravitational coupling αG ≈ 6 × 10-39 divided by a geometric factor of about 20. As defined here, k contains G, so these relations are consistency relations and not yet a derivation of G. We state the condition under which they become one, an independent determination of k or of the proton surface expansion rate from confinement physics or from the Dirac Sea energy source, and identify two routes toward it. We propose, as an interpretation to be tested, that gravity is the residual leakage of the strong force through quark confinement.
Keywords: gravitational constant, hierarchy problem, proton pressure, quark confinement, gravitational coupling constant, baryonic expansion.
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