1999
DOI: 10.1103/physrevd.60.123512
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Model universe with variable space dimension: Its dynamics and wave function

Abstract: Assuming the space dimension is not constant, but varies with the expansion of the universe, a Lagrangian formulation of a toy universe model is given. After a critical review of previous works, the field equations are derived and discussed. It is shown that this generalization of the FRW cosmology is not unique. There is a free parameter in the theory, C, with which we can fix the dimension of space say at the Planck time. Different possibilities for this dimension are discussed. The standard FRW model corres… Show more

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Cited by 23 publications
(85 citation statements)
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“…In [2,3], there are some clarifications about the idea of variable space dimension, and some motivations for choosing a model Universe with variable space dimension. There are also some reasonably raised questions: what causes the number of spatial dimension to decrease as the Universe expands?…”
Section: Review Of Model Universe With Variable Space Dimensionmentioning
confidence: 99%
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“…In [2,3], there are some clarifications about the idea of variable space dimension, and some motivations for choosing a model Universe with variable space dimension. There are also some reasonably raised questions: what causes the number of spatial dimension to decrease as the Universe expands?…”
Section: Review Of Model Universe With Variable Space Dimensionmentioning
confidence: 99%
“…The way of generalizing the standard cosmological model to the variable space dimension used in [6] is questioned, and another way of writing the field equations is proposed [3]. It has been pointed out that the model discussed in [6] has no upper bound for the space dimension.…”
Section: Introductionmentioning
confidence: 99%
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