Indeterminacy of Holographic Quantum Geometry

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dc.creatorHogan, Craig J.
dc.date2008-06-04
dc.date2008-09-23
dc.date.accessioned2026-07-07T11:51:23Z
dc.date.available2026-07-07T11:51:23Z
dc.descriptionAn effective theory based on wave optics is used to describe indeterminacy of position in holographic spacetime with a UV cutoff at the Planck scale. Wavefunctions describing spacetime positions are modeled as complex disturbances of quasi-monochromatic radiation. It is shown that the product of standard deviations of two position wavefunctions in the plane of a holographic light sheet is equal to the product of their normal separation and the Planck length. For macroscopically separated positions the transverse uncertainty is much larger than the Planck length, and is predicted to be observable as a "holographic noise" in relative position with a distinctive shear spatial character, and an absolutely normalized frequency spectrum with no parameters once the fundamental wavelength is fixed from the theory of gravitational thermodynamics. The spectrum of holographic noise is estimated for the GEO600 interferometric gravitational-wave detector, and is shown to approximately account for currently unexplained noise between about 300 and 1400Hz. In a holographic world, this result directly and precisely measures the fundamental minimum interval of time.
dc.description4 pages, LaTeX. Considerably shortened from earlier version. Conclusions are unchanged. Submitted to PRD
dc.identifierhttps://arxiv.org/abs/0806.0665
dc.identifierhttp://arxiv.org/abs/0806.0665
dc.identifierPhys.Rev.D78:087501,2008
dc.identifierdoi:10.1103/PhysRevD.78.087501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/203882
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleIndeterminacy of Holographic Quantum Geometry
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