Preprint Brief Report Version 1 Preserved in Portico This version is not peer-reviewed

G4v and the Correspondence Principle

Version 1 : Received: 16 February 2023 / Approved: 20 February 2023 / Online: 20 February 2023 (02:21:34 CET)
Version 2 : Received: 4 August 2023 / Approved: 4 August 2023 / Online: 4 August 2023 (08:31:40 CEST)

How to cite: Piasecki, D. G4v and the Correspondence Principle. Preprints 2023, 2023020316. Piasecki, D. G4v and the Correspondence Principle. Preprints 2023, 2023020316.


G4v is a four-vector theory of gravitation proposed by Mead (2015) which reproduces several major results commonly celebrated for the tensor-based approach of General Relativity (GR). Here, we show that G4v obeys the correspondence principle, an important test of any relativistic theory. We derive the non-relativistic Lagrangian and Energy expressions at the limit of low speeds and potentials, complete with the correct terms for potential energy (something traditional Special Relativity is incapable of achieving). Although most predictions of G4v line up with GR, the polarization of the gravitational waves was shown to be starkly different. We await tests of G4v in future gravitational wave polarization experiments.


Gravitational four-vector (G4v); Speed of Light; Correspondence Principle.


Physical Sciences, Theoretical Physics

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