Submissions from M. D. Karp
- [1] faKiv:2404.08338 [pdf]
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A Non-perturbative study of the Riemann-Foss-Witten equations in the presence of a scalar fieldComments: 25 pages, 7 figures
We present a study of the Riemann-Foss-Witten equations in the presence of a scalar field. We consider the Lorenz model in which $U(R)$ gauge fields are taken into account. We find that the relation between the scalar and the non-perturbative quantities is the same as for the Lorenz model. We also study the Riemann-Foss-Witten equations in the presence of a scalar field in the first order of the scalar fields. The equations are derived, and used to compute the non-perturbative function of the Riemann-Foss-Witten equations.
- [2] faKiv:2404.08722 [pdf]
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The Big Bang and the Big Crunch: A New Approach to the Evolutionary EntropyComments: 15 pages, 2 figures
The Big Bang can be interpreted as a period of evolution of the universe after the Big Crunch. This period of evolution is characterized by the emergence of entropy and the creation of a universe of primordial black holes. At the end of the Big Bang, the entropy of the universe becomes dominated by the classical zero-temperature theory of the Big Bang and its Big Crunch. The evolution of the entropy can be characterised by a two-step process: (i) The Big Bang is followed by a period of the evolution of entropy and (ii) The Big Crunch is followed by a period of the evolution of entropy. We provide a new approach to the evolution of entropy using the Big Bang and Big Crunch models, which allows us to interpret the Big Bang as a period of the evolution of entropy at the end of the Big Crunch. This is a much simpler and more direct way to interpret the Big Bang and Big Crunch as periods of the evolution of entropy at the end of the Big Crunch.
- [3] faKiv:2404.08843 [pdf]
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The cosmological constant and the background reality in quantum-field theories with a cosmological constantComments: 12 pages, 8 figures, LaTeX2e, 3 figures. Version accepted for publication in PRB
Canonical perturbative corrections in the quantum field theory with a cosmological constant are known to lead to non-perturbative effects, and there is a strong case for assuming that they are of the same order as those in the space of possible quantum-field theories. This assumption, however, is not consistent with the observation that the quantum field theory is perfectly compatible with the perturbative corrections. In this paper we show that the cosmological constant, which is the strongest perturbative term in the quantum field theory, is always of order the scaling dimension of the perturbative corrections. Moreover, by using non-perturbative corrections, we show that the real-time non-perturbative corrections are always of the order of the real-time perturbative corrections, in a non-perturbative case. This result is consistent with the observation that the quantum field theory is perfectly compatible with the perturbative corrections. This result can be unravelled at the level of the perturbative corrections.
- [4] faKiv:2404.08879 [pdf]
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Anisotropic-gravity dualities and the gravity-theory dualityComments: 4 pages, 1 figure, minor improvements
We study the influence of the ground state of a non-supersymmetric formulation of the gravity duality between two free fields on the anisotropic-gravity duality. This duality is found to be the case of a solid state of the aetheric-gravity duality. We demonstrate that the ground state is the same as the ground state of the aetheric-gravity duality in the presence of matter. Thus in this case the anisotropic-gravity duality is a noncommutative one.