A Fundamental Conservation as a Unification of Quantum Theory and Relativity

Abstract

A fundamental conservation and symmetry is proposed, as a unification between General Relativity (GR) and Quantum Theory (QT). Unification is then demonstrated across multiple applications. First, as applied to cosmological redshift \(z\) and energy density \(\rho\). Then, a local system galaxy rotational curve is examined. Next, as applied to Quantum Mechanics' "time problem": Absolute and relative notions of time are shown to be reconcilable, as well as renormalization values between scales. Finally, as applied to the Cosmological Constant: The discrepancy that exists between the vacuum energy density in GR at critical density: \(\rho_{cr}=3H^2/8 \pi G=1.88(H^2) x 10^{-29}g/cm^3\) [1], and the much greater zero-point energy delta value as calculated in quantum field theory (QFT) with a Planck scale ultraviolet cutoff: \(\rho_{hep}=M^4c^3/h^3=2.44 x 10^{91}g/cm^3\) [2] is resolved to null orders of magnitude.