Newton's gravitational coupling constant from a quantum of area

Details Newton's gravitational coupling constant from a quantum of area Newton's gravitational coupling constant from a quantum of area

2011-01-27

arxiv.org/abs/1101.5370v6

Mod. Phys. Lett. A 26 (2011) 1301

Physics

High Energy Physics

High Energy Physics - Theory

10 pages; v6: published version, but with typo in Eq. (8) corrected

Scientific paper

A previous calculation of Newton's gravitational coupling constant G is generalized. This generalization makes it possible to have "atoms of two-dimensional space" with an integer dimension d_{atom} of the internal space, where the case d_{atom}=1 is excluded. Given the quantum of area l^2, the final formula for G is inversely proportional to the logarithm of the integer d_{atom}. The generalization used may be interpreted as a modification of the energy equipartition law of the microscopic degrees of freedom responsible for gravity, suggesting some form of long-range interaction between these degrees of freedom themselves.

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