Authors
Rodolfo A. Frino
Abstract
The present research is concerned with the problem of finding a quantum gravitational description applicable to all phenomena including black holes. Thus, this paper introduces the universal uncertainty principle which is an extension of Heisenberg uncertainty relations. While this universal principle includes the Planck length (as the minimum length with physical meaning) and the zero point momentum due to the quantum fluctuations of empty space, the effects of the latter are neglected. This approach predicts the two thermodynamics properties of black holes: temperature and entropy. The general equation for the temperature of the black hole shows a surprising result: the temperature depends not only on the mass of the black hole but also on its radius. Therefore this formulation desagrees with Hawking's theory which claims that the temperature of the black hole does not depend on its radius. However, the impact of the radius of the black hole on its temperature is relatively significant for radii smaller or equal than 3 times the Planck length only. Finally, the black hole's entropy law emerges naturally from this formulation without needing the inclusion of additional postulates. The entropy law derived in this paper fully agrees with the Berkenstein-Hawking's entropy formula and except for the Schwarzschild radius formula, this formulation does not use any other equations derived from general relativity. The preliminary results of the general quantum gravitational theory of black holes is given in section 5.
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