Reply to Sergiu I. Vacaru's "Critical remarks on Finsler modifications of gravity and cosmology by Zhe Chang and Xin Li"

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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This is our reply to "Critical remarks on Finslerian modifications of gravity and cosmology by Zhe Chang and Xin Li", Sergiu I. Vacaru, Phys. Lett. B 690 (2010) 224. It is pointed out that the Finslerian modifications of gravity and cosmology (Zhe Chang and Xin Li, Phys. Lett. B 676 (2009) 173; {\it ibid} 668 (2008) 453) is a suggestion on the generalization of Einstein's gravity and cosmology, but not a proof for theorems in geometry. False or true of the theory should be tested by experiments or observations. We show that the arguments of Sergiu I. Vacaru were based a wrong logic. A personal claim can not be used to prove any other theory be wrong. To get the claim: {\it "we may construct more "standard" physical Finsler classical/quantum gravity theories for metric compatible connections like the Cartan d-connection"}, Sergiu I. Vacaru should complete a consistent presentation at least. We suggest Sergiu I. Vacaru to make some predictions on gravity and cosmoligy using his {\it "standard" physical Finsler classical/quantum gravity theories} as we did, and compare them with astronomical observations. By the way, we should say that it is still really far from a theory of quantum gravity.

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