Entropy In the Universe: A New Approach

Alfonso-Faus, Antonio

doi:10.3390/e2030168

Cited by 4 publications

(4 citation statements)

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“…This "age" t m is the time light takes to travel the size of the q.b.h.. The striking result in (4) is that mass and time run together (this is the Mass-Boom effect, Alfonso-Faus [6]). Planck´s mass (∼ 10 -5 gr.)…”

Section: -The Weinberg Relationmentioning

confidence: 99%

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The case for the Universe to be a quantum black hole

Alfonso-Faus¹

2009

Astrophys Space Sci

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We present a necessary and sufficient condition for an object of any mass m to be a quantum black hole (q.b.h.): The product of the cosmological constant lambda and the Planck constant h, lambda and h corresponding to the scale defined by this q.b.h., must be of order one in a certain universal system of units. In this system the numerical values known for lambda are of order one in cosmology and about 10^122 for Planck scale. Proving that in this system the value of the cosmological h is of order one, while the value of h for the Planck scale is about 10^(-122), both scales satisfy the condition to be a q.b.h., i.e. lambda x h of order 1. In this sense the Universe is a q.b.h..We suggest that these objects, being q.b.h., give us the linkage between thermodynamics, quantum mechanics, electromagnetism and general relativity, at least for the scale of a closed Universe and for the Planck scale. A mathematical transformation may refer these scales as corresponding to infinity (our universe) and zero (Planck universe), in a scale relativity sense.Comment: 10 page

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Section: -The Weinberg Relationmentioning

confidence: 99%

“…The advantage of this choice is that, whatever the possible changes in time for G or c, the derivation of the Einstein field equations from the action principle is ensured, thanks to the constancy of the factors in front of the action integrals, Alfonso-Faus [6]. We refer this choice of units as a universal system.…”

Section: -Time Scale For Oscillationsmentioning

confidence: 99%

The case for the Universe to be a quantum black hole

Alfonso-Faus¹

2009

Astrophys Space Sci

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“…One argument comes from the concept of a gravitational cross section. We have shown in [6] and [7] that there is a basic concept, not very well known, that we have called the gravitational cross section σ g of a mass m, that is of the order of the product of its gravitational radius, 2Gm/c 2 , and the gravitational radius of the Universe 2GM/c 2 , where M is the mass of the visible Universe. Its size ct is of the same order as its gravitational radius.…”

Section: A New Cosmologial Model With Time-varying "Constants"mentioning

confidence: 99%

Harmonizing General Relativity with Quantum Mechanics

Alfonso-Faus¹

2007

AIP Conference Proceedings

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Gravitation is the common underlying texture between General Relativity and Quantum Mechanics. We take gravitation as the link that can make possible the marriage between these two sciences. We use here the duality of Nature for gravitation: A continuous warped space, wave-like, and a discrete quantum gas, particle-like, both coexistent and producing an equilibrium state in the Universe. The result is a static, non expanding, spherical, unlimited and finite Universe, with no cosmological constant and no dark energy. The Principle of Mach is reproduced here by the convergence of the two cosmological equations of Einstein. From this a Mass Boom concept is born given by M = t, M the mass of the Universe and t its age. Also a decreasing speed of light is the consequence of the Mass Boom, c = 1/t, which explains the Supernovae Type Ia observations without the need of expansion (nor, of course, accelerated expansion). Our Mass Boom model completely wipes out the problems and paradoxes built in the Big Bang model, like the horizon, monopole, entropy, flatness, fine tuning, etc. It also eliminates the need for inflation. Finally the relation proposed by Weinberg in 1972 is here explained in terms of a gravitational cross section for all gravitational masses.Comment: Presented at the Madrid October 17 2006 Symposium on "Frontiers of Fundamental Physics 8" and to be published by AIP Proceedings book. New version with changed content

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“…Since the Hilbert space is constructed on a homogeneous space, which is invariant under the scale transformation, then an arbitrary scale appears in the total number of quantum state N . This arbitrariness can be fixed by imposing some physical conditions such as the Holographic principle or the entropy bounds [62][63][64][65][66][67][68][69][70][71][72][73][74]. Finally, the entropy of the quantum fields is calculated, which is finite.…”

Section: Introductionmentioning

confidence: 99%

Entropy of massive quantum fields in de Sitter space–time

Takook

2016

Annals of Physics

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The quantum states or Hilbert spaces for the quantum field theory in de Sitter space-time are studied on ambient space formalism. In this formalism, the quantum states are only depended (1) on the topological character of the de Sitter space-time, i.e. IR × S 3 , and (2) on the homogeneous spaces which are used for construction of the unitary irreducible representation of de Sitter group. A compact homogeneous space is chosen in this paper. The unique feature of this homogeneous space is that its total number of quantum states, N , is finite although the Hilbert space has infinite dimensions. It is shown that N is a continuous function of the Hubble constant H and the eigenvalue of the Casimir operators of de Sitter group. The entropy of the quantum fields on this Hilbert space have been calculated which is finite and invariant for all inertial observers on the de Sitter hyperboloid.

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Entropy In the Universe: A New Approach

Cited by 4 publications

References 4 publications

The case for the Universe to be a quantum black hole

The case for the Universe to be a quantum black hole

Harmonizing General Relativity with Quantum Mechanics

Entropy of massive quantum fields in de Sitter space–time

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