Relativity and the Dimensionality of the World

Petkov, Vesselin

doi:10.1007/978-1-4020-6318-3

Cited by 11 publications

(1 citation statement)

References 28 publications

(19 reference statements)

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“…Although, seePetkov (2007), especiallyEllis (2007), and alsoEarman (2008), for a discussion of the plausibility of a rival dynamic, or 'growing', block universe.…”

mentioning

confidence: 99%

Ψ-epistemic quantum cosmology?

Evans

Gryb

Thébault

2016

Studies in History and Philosophy of Science Part B: Studies in

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This paper provides a prospectus for a new way of thinking about the wavefunction of the universe: a Ψ-epistemic quantum cosmology. We present a proposal that, if successfully implemented, would resolve the cosmological measurement problem and simultaneously allow us to think sensibly about probability and evolution in quantum cosmology. Our analysis draws upon recent work on the problem of time in quantum gravity, upon causallysymmetric local hidden variable theories, and upon a dynamical origin for the cosmological arrow of time. Our conclusion weighs the strengths and weaknesses of the approach and points towards paths for future development. *

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“…Although, seePetkov (2007), especiallyEllis (2007), and alsoEarman (2008), for a discussion of the plausibility of a rival dynamic, or 'growing', block universe.…”

mentioning

confidence: 99%

Ψ-epistemic quantum cosmology?

Evans

Gryb

Thébault

2016

Studies in History and Philosophy of Science Part B: Studies in

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Einstein’s Equations, Cosmology, and Astrophysics

Wesson

2014

Springer Handbook of Spacetime

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I give a compact, pedagogical review of our present understanding of the universe as based on general relativity. This includes the uniform models, with special reference to the cosmological 'constant'; and the equations for spherically-symmetric systems, in a particularly convenient form that aids their application to astrophysics.New ideas in research are also outlined, notably involving extra dimensions. This article will be a chapter in the upcoming Springer Handbook of Spacetime (editors: A. Ashtekar, V. Petkov). It compresses the material normally found in a onesemester course at the fourth-year undergraduate or first-year graduate level.Email: psw.papers@yahoo.ca Einstein's EquationsThis section is devoted to the genesis and properties of the field equations. The notation is standard, so x 0,123 are the coordinates of time and ordinary space. To avoid symbolic clutter, we adopt the usual ploy of imagining that we measure time, distance and mass in units which make the speed of light c, Newton's constant of gravity G and Planck's constant of action h all equal to unity.The so-called fundamental constants are, in fact, not very significant in their scientific content and are only constants in the sense of being useful conventions. They arise because the history of physics saw it useful to separate the things it deals with into categories, which in mechanics we label mass, length and time [6,9,10]. We ascribe basic units for these things, denoted in the abstract by M, L, T and in practice by convenient measures like the gram, centimetre and second. The latter are obviously man-made, but so are the former. The concepts of mass, length and time are instructive, and arise because of the ways in which humans perceive the world and comprehend it by the five senses. Over centuries of research, this approach has been honed, and nowadays we take it for granted that the equations of physics should be homogeneous in their physical dimensions. Dimensional analysis -the traditional shortcut of the physicist -is really the application of an elementary form of group theory related to the Pi Theorem. It provides a way of checking the dimensional consistency of the equations of physics under the permutations of the three base quantities M, L, T. Dimensional analysis does not, of course, determine the dimensionless factors which may enter a problem, such as π or e. In this

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Einstein’s Equations, Cosmology, and Astrophysics

Wesson

2014

Springer Handbook of Spacetime

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Relativity and the Dimensionality of the World

Cited by 11 publications

References 28 publications

Ψ-epistemic quantum cosmology?

Ψ-epistemic quantum cosmology?

Einstein’s Equations, Cosmology, and Astrophysics

Einstein’s Equations, Cosmology, and Astrophysics

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