Hypothesis on the Nature of Time - INSPIRE

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Hypothesis on the Nature of Time

D.N. Coumbe
(
- Jagiellonian U.
)

Feb 15, 2015

8 pages

Published in:

Phys.Rev.D 91 (2015) 12, 124040

Published: Jun 12, 2015

e-Print:

1502.04320 [gr-qc]

DOI:

10.1103/PhysRevD.91.124040

View in:

ADS Abstract Service

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Abstract: (APS)

We present numerical evidence that fictitious diffusing particles in the causal dynamical triangulation (CDT) approach to quantum gravity exceed the speed of light on small distance scales. We argue this superluminal behavior is responsible for the appearance of dimensional reduction in the spectral dimension. By axiomatically enforcing a scale invariant speed of light we show that time must dilate as a function of relative scale, just as it does as a function of relative velocity. By calculating the Hausdorff dimension of CDT diffusion paths we present a seemingly equivalent dual description in terms of a scale dependent Wick rotation of the metric. Such a modification to the nature of time may also have relevance for other approaches to quantum gravity.

Note:

15 pages, 4 figures. Conforms with version to be published in PRD. Clarifications and references added

04.60.Gw
04.60.Nc
photon: velocity
dimensional reduction
conservation law
scale dependence
quantum gravity
triangulation
causality

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