arXiv subjects
Publications and source records attributed to Antonio Alfonso-Faus.
The entropy S of any mass M can be interpreted as a linear relation with mass, S of order kM/mg an extensive property with mg the mass of the quantum of gravity. One can extend this relation to black holes and then we get a different result, as compared with the "standard" relation S of order k/hc GM^2, which is quadratic in the mass. We discuss both approaches and apply it to cosmology.
The fine structure constant $α$ includes the speed of light as given by $α=\frac{e^{2}}{4πε_{0}c\hbar}$. It is shown here that, following a $THεμ$ formalism, interpreting the permittivity $ε_{0}$ and permeabiliy $μ_{0}$ of free space under Lorentz local and position invariance, this is not the case. The result is a new expression as $α=\frac{e^{2}}{4π\hbar}$ in a new system of units for the charge that preserves local and position invariance. Hence, the speed of light does not explicitly enter in the constitution of the fine structure constant. The new expressions for the Maxwell's equations are derived and some cosmological implications discussed.
We propose the use of a gravitational uncertainty principle for gravitation. We define the corresponding gravitational Planck's constant and the gravitational quantum of mass. We define entropy in terms of the quantum of gravity with the property of having an extensive quality. The equivalent 2nd law of thermodynamics is derived, the entropy increasing linearly with cosmological time. These concepts are applied to the case of black holes, finding their entropy and discussing their radiation.