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Quantum Gravitational Correction and MOND Theory in the Holographic Equipartition Scenario

In this paper, by using Verlinde's formalism and a modified Padmanabhan's prescription, we have obtained the lowest order quantum correction to the gravitational acceleration and MOND-type theory by considering a nonzero difference between the number of bits of the holographic screen and number of bits of the holographic screen that satisfy the equipartition theorem. We will also carry out a phase transition and critical phenomena analysis in MOND-type theory where critical exponents are obtained.

preprint2014arXivOpen access
Everton M. C. AbreuJorge Ananias NetoAlbert C. R. Mendes
gr-qchep-th
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Everton M. C. AbreuJorge Ananias NetoAlbert C. R. Mendes

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