The parity hypothesis. Comment on “On the parity of general mechanics and general relativity, and misconceptions of Einstein’s theory” by Lane R. Miller

The parity hypothesis states that parity is possible between generalized mechanics (GM) and the theory of general relativity (GR). In a recent article, we proved a parity theorem for Schwarzschild two-body problems, referring to it as the GM-GR parity theorem. This article responds to a critique of the correctness of the proof, demonstrating where the critique’s reasoning fails. Additionally, the critique rejects the parity hypothesis in problems that are beyond the scope of the theorem. While the parity hypothesis has only been proven for Schwarzschild two-body problems, we find the critique’s additional objection to be both subjective and unsubstantiated.