Quantum Gravity and String Theory


Einstein’s Field Equations: 3 Criticisms

Authors: David Brown

Does string theory with the finite nature hypothesis imply MOND and no supersymmetry? Consider 3 conjectures: (1) Milgrom is the Kepler of contemporary cosmology, and the empirical validity of Milgrom’s MOdified Newtonian Dynamics (MOND) requires a modification of Einstein’s field equations. (2) The Koide formula suggests that there might be a modification of Einstein’s field equations. (3) Lestone’s heuristic string theory suggests that there might be a modification of Einstein’s field equations. Are (2) and (3) sure bets? No. Is (1) a sure bet? I say yes. I suggest that there might be 3 possible modifications of Einstein’s field equations. Consider Einstein’s field equations: R(mu,nu) + (-1/2) * g(mu,nu) * R = - κ * T(mu,nu) - Λ * g(mu,nu) — what might be wrong? Consider the possible correction R(mu,nu) + (-1/2 + dark-matter-compensation-constant) * g(mu,nu) * R * (1 - (R(min) / R)^2)^(1/2) = - κ * (T(mu,nu) / equivalence-principle-failure-factor) - Λ * g(mu,nu), where equivalence-principle-failure-factor = (1 - (T(mu,nu)/T(max))^2)^(1/2) — if dark-matter-compensation-constant = 0, R(min) = 0, and T(max) = +∞ then Einstein’s field equations are recovered. This brief communication offers 3 criticisms involving physical assumptions used by Einstein when he formulated his field equations.

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[v1] 2017-02-02 10:53:46

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