A Conformally Invariant Unified Theory of Maxwell Fields and Linearized Gravity as Emergent Fields

• URL: http://arxiv.org/abs/2106.07028v1
• Date: Sun, 13 Jun 2021 15:37:13 GMT
• Title: A Conformally Invariant Unified Theory of Maxwell Fields and Linearized Gravity as Emergent Fields
• Authors: Partha Nandi, Partha Ghose
• Abstract summary: It is shown how the same $psi$ can be used to calculate both the gravitational field $h_munu$ of linearized gravity in the TT gauge and the electromagnetic field $F_munu$ in the Lorenz gauge. It is also shown how the existence of gravitons can be inferred from the state-dependent quantum noise they create in a model detector.
• Score: 1.0312968200748118
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A Lorentz and conformally invariant `Schr\"{o}dinger-like' equation for a massless complex scalar function $\psi$ is derived from an invariant action, and it is shown how the same $\psi$ can be used to calculate both the gravitational field $h_{\mu\nu}$ of linearized Einstein gravity in the TT gauge and the electromagnetic field $F_{\mu\nu}$ in the Lorenz gauge, and that the main difference between classical and quantum aspects of such fields lies in a certain condition that the underlying scalar wave must satisfy to keep it nondispersive. It is also shown how the existence of gravitons can be inferred from the state-dependent quantum noise they create in a model detector.

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