Holographic Noise in Interferometers
- Chicago U.; Fermilab
General arguments based on black hole evaporation, and on particular interpretations of holographic unification, suggest that there may be a new kind of indeterminacy in the relative transverse position of bodies in spacetime, corresponding to the diffraction limit of Planck wavelength radiation. Suitably designed instruments should display a new phenomenon, resembling a randomly varying shear in relative transverse position away from classical geodesics, with a flat power spectral density at low frequencies given approximately by the Planck time, and with no other parameters. An effective theory is presented to connect holographic unification with macroscopic phenomena, such as the statistical properties of noise in signals of interferometers. Macroscopic position operators in Matrix theory are interpreted to obey a Schr\'odinger wave equation, or equivalently a paraxial wave equation with a Planck frequency carrier, that connects longitudinal and transverse modes. A model based on gaussian-beam solutions of this equation is used to derive formulas in the time and frequency domain for autocorrelation of beamsplitter position in a Michelson interferometer. The cross-correlation of signals in two non-coincident interferometers as a function of separation is estimated. The cross-correlation signature may be exploited in the design of experiments to provide convincing evidence for or against the holographic hypothesis.
- Research Organization:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Chicago U.
- Sponsoring Organization:
- US Department of Energy
- DOE Contract Number:
- AC02-07CH11359
- OSTI ID:
- 2568932
- Report Number(s):
- FERMILAB-PUB-09-361-A; oai:inspirehep.net:821662; arXiv:0905.4803
- Journal Information:
- No journal information, Journal Name: No journal information
- Country of Publication:
- United States
- Language:
- English
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