Abstract
We propose a new definition of entropy for any mass m, based on gravitation and through the concept of a gravitational cross section. It turns out to be proportional to mass, and therefore extensive, and to the age of the Universe. It is a Machian approach. It is also the number of gravity quanta the mass has emitted through its age. The entropy of the Uni-verse is so determined and the cosmological entropy problem solved.
Highlights
Gravitational radiation is predicted by general relativity
The emission of these gravity quanta can be interpreted as an increase in entropy, and for that one needs a new approach to this concept
Since the size of the Universe R is of the order of its gravitational radius GMu/c2, where Mu is he mass of the Universe, one has that the square root of the gravitational cross section of m is of the order of the geometrical mean of two gravitational radii: the gravitational radius of the mass m and the gravitational radius of he Universe: λJ =
Summary
This radiation is certainly not responsible for the Newtonian force. One can postulate the existence of gravity quanta responsible for this Newtonian gravitational force The emission of these gravity quanta can be interpreted as an increase in entropy, and for that one needs a new approach to this concept. We give this new definition linked to the concept of a gravitational cross section. By doing so we obtain a Machian result This has important implications in relation to the long sought connection between quantum mechanics (LAB properties) and general relativity (cosmological parameters)
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