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We introduce Hausdorff-Colombeau measure in respect with negative fractal dimensions. Axiomatic quantum field theory in spacetime with negative fractal dimensions is proposed.Spacetime is modelled as a multifractal subset of $R^{4}$ with…

综合数学 · 数学 2019-07-03 J. Foukzon , E. R. Menkova , A. A. Potapov , S. A. Podosenov

At the level of the Planck scale, the spacetime metric has to be considered a quantum variable. Conformal quantum fluctuations of the metric tensor are studied here. They lead to an extra term in the Einstein equations which can be…

天体物理学 · 物理学 2007-05-23 Alex H. Blin

One of the interesting open problems in the cosmological framework is applying quantum physics to the whole universe, consistently. Although different conceptual aspects of quantum cosmology are still very much alive, till now, all the…

广义相对论与量子宇宙学 · 物理学 2022-06-22 S. H. Hendi , N. Riazi , S. N. Sajadi

This paper makes the simple observation that a fundamental length, or cutoff, in the context of Friedmann-Lema\^itre-Robertson-Walker (FRW) cosmology implies very different things than for a static universe. It is argued that it is…

宇宙学与河外天体物理 · 物理学 2011-01-13 Marvin Weinstein

We studied plane symmetric cosmological model in the presence of quark and strange quark matter with the help of f(R,T) theory. To decipher solutions of Plane symmetric space-time, we used power law relation between scale factor and…

广义相对论与量子宇宙学 · 物理学 2017-03-22 P. K. Agrawal , D. D. Pawar

Perfect fluid Friedmann-Robertson-Walker quantum cosmological models for an arbitrary barotropic equation of state $p = \alpha\rho$ are constructed using Schutz's variational formalism. In this approach the notion of time can be recovered.…

广义相对论与量子宇宙学 · 物理学 2021-10-20 F. G. Alvarenga , J. C. Fabris , N. A. Lemos , G. A. Monerat

Understanding quantum theory in terms of a geometric picture sounds great. There are different approaches to this idea. Here we shall present a geometric picture of quantum theory using the de-Broglie--Bohm causal interpretation of quantum…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Fatimah Shojai , Ali Shojai

It is shown that, with some reasonable assumptions, the theory of general relativity can be made compatible with quantum mechanics by using the field equations of general relativity to construct a Robertson-Walker metric for a quantum…

高能物理 - 理论 · 物理学 2007-05-23 Vu B Ho

The causal interpretation of quantum mechanics, as originally stated by deBroglie and Bohm, had several attractive features. Among these is the possibility that it could address some of the most fundamental questions on quantum phenomena.…

量子物理 · 物理学 2007-05-23 R. H. Parmenter , Andrew L. DiRienzo

It has been known for some time that the cosmological Friedmann equation deduced from General Relativity can be also obtained within the Newtonian framework under certain assumptions. We use this result together with quantum corrections to…

广义相对论与量子宇宙学 · 物理学 2016-11-03 Pedro Bargueño , Sergio Bravo-Medina , Marek Nowakowski , Davide Batic

We construct a time dependent adjustment mechanism for the cosmological "constant" which could be at work in a late Friedmann-Robertson-Walker universe dominated by quintessence and matter. It makes use of a Brans-Dicke field that couples…

高能物理 - 唯象学 · 物理学 2009-02-20 A. Hebecker , C. Wetterich

The non-relativistic quantum theory has been interpreted causally by de Broglie, David Bohm, and others, where a quantum entity is viewed as a particle with a definite position and momentum. This interpretation opposes the Copenhagen…

量子物理 · 物理学 2025-10-28 A. N. Khondker

In this paper we have investigated the classical limit in Bohmian quantum cosmology. It is observed that in the quantum regime where the quantum potential is greater than the classical one, one has an expansion in terms of negative powers…

广义相对论与量子宇宙学 · 物理学 2009-11-11 F. Shojai , A. Shirinifard

We present a chaplygin gas Friedmann-Robertson-Walker quantum cosmological model. In this work the Schutz's variational formalism is applied with positive, negative, and zero constant spatial curvature. In this approach the notion of time…

广义相对论与量子宇宙学 · 物理学 2008-11-26 P. Pedram , S. Jalalzadeh , S. S. Gousheh

The classical trajectories for FLRW universe with varying speed of light are obtained for the cases in which the cosmological constant depends or not depend on the velocity of light. The theory is then quantized and the corresponding WDW…

广义相对论与量子宇宙学 · 物理学 2010-01-25 F. Shojai , S. Molladavoudi

Noncommutativity of the spacetime coordinates has been explored in several contexts, mostly associated to phenomena at the Planck length scale. However, approaching this question through deformation theory and the principle of stability of…

高能物理 - 理论 · 物理学 2019-06-19 R. Vilela Mendes

We propose that the size of the universe and its rate of expansion cannot be simultaneously specified with arbitrary precision, a quantum mechanical statement encoded in a deformed commutation relation for the scale factor. The deformation…

宇宙学与河外天体物理 · 物理学 2026-05-15 Savvas M. Koushiappas

A free scalar field minimally coupled to gravity model is quantized and the Wheeler-DeWitt equation in minisuperspace is solved analytically, exhibiting positive and negative frequency modes. The analysis is performed for positive, negative…

广义相对论与量子宇宙学 · 物理学 2009-10-31 R. Colistete , J. C. Fabris , N. Pinto-Neto

Realizing dark energy and the observed de Sitter spacetime in quantum gravity has proven to be obstructed in most every usual approach. We argue that additional degrees of freedom of the left- and right-movers in string theory and a…

广义相对论与量子宇宙学 · 物理学 2019-12-04 Per Berglund , Tristan Hubsch , Djordje Minic

We investigate two simplified non-singular cyclic models with a negative time-varying cosmological constant to represent the non-conventional mechanism of negative cosmological constant expected to address the late-time cosmic acceleration.…

广义相对论与量子宇宙学 · 物理学 2026-05-21 Nasr Ahmed , Kazuharu Bamba