Holographic Noise in Interferometers - General Relativity and Quantum CosmologyReport as inadecuate




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Abstract: Arguments based on general principles of quantum mechanics suggest that aminimum length or time associated with Planck-scale unification may entail anew kind of observable uncertainty in the transverse position ofmacroscopically separated bodies. Transverse positions vary randomly aboutclassical geodesics in space and time by about the geometric mean of the Planckscale and separation, on a timescale corresponding to their separation. Aneffective theory based on a Planck information flux limit, and normalized bythe black hole entropy formula, is developed to predict measurablecorrelations, such as the statistical properties of noise in interferometersignals. A connection with holographic unification is illustrated byrepresenting Matrix theory position operators with a Schr\-odinger waveequation, interpreted as a paraxial wave equation with a Planck frequencycarrier. Solutions of this equation are used to derive formulas for thespectrum of beamsplitter position fluctuations and equivalent strain noise in aMichelson interferometer, determined by the Planck time, with no otherparameters. The spectral amplitude of equivalent strain derived here is afactor of \sqrt{\pi} smaller than previously published estimates. Signals intwo nearly-collocated interferometers are predicted to be highly correlated, afeature that may provide convincing evidence for or against this interpretationof holography.



Author: Craig J. Hogan

Source: https://arxiv.org/



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