Higher-Order Lorentz Violation

Mewes, Matthew

doi:10.1142/9789814566438_0017

Cited by 1 publication

(1 citation statement)

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“…The phenomenologically most modifying description, as far as Minkowskian spacetime is concerned, is that of [126] classicalizing non-massless gravity. For this, at Planckian scale, the dispersion relations depend on the dimension of the operator for which they are evaluated, [129], and read k 2 = ω 2 (1 ± ((Mω)/(M 2 P )) N−4 ), M being the phenomenological parameter accounting for massive gravity, and N such dimension. After the Planckian scale, its expression for length measurements k L , as a (Taylor) expansion, is well-defined, i.e.…”

Section: Geodesic Modifications To Quantum Dispersion Relationsmentioning

confidence: 99%

Semiclassical Length Measure from a Quantum-Gravity Wave Function

Lecian

2017

Technologies

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Abstract:The definition of a length operator in quantum cosmology is usually influenced by a quantum theory for gravity considered. The semiclassical limit at the Planck age must meet the requirements implied in present observations. The features of a semiclassical wave-functional state are investigated, for which the modern measure(ment)s is consistent. The results of a length measurement at present times are compared with the same measurement operation at cosmological times. By this measure, it is possible to discriminate, within the same Planck-length expansion, the corrections to a Minkowski flat space possibly due to classicalization of quantum phenomena at the Planck time and those due to possible quantum-gravitational manifestations of present times. This analysis and the comparison with the previous literature can be framed as a test for the verification of the time at which anomalies at present related to the gravitational field, and, in particular, whether they are ascribed to the classicalization epoch. Indeed, it allows to discriminate not only within the possible quantum features of the quasi (Minkowski) flat spacetime, but also from (possibly Lorentz violating) phenomena detectable at high-energy astrophysical scales. The results of two different (coordinate) length measures have been compared both at cosmological time and as a perturbation element on flat Minkowski spacetime. The differences for the components of the corresponding classical(ized) metric tensor have been analyzed at different orders of expansions. The results of the expectation values of a length operator in the universe at the Planck time must be comparable with the same length measurements at present times, as far as the metric tensor is concerned. The comparison of the results of (straight) length measures in two different directions, in particular, can encode the pertinent information about the parameters defining the semiclassical wavefunctional for (semiclassicalized) gravitational field.

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Section: Geodesic Modifications To Quantum Dispersion Relationsmentioning

confidence: 99%