# Measurement of quantum fluctuations in geometry

@article{Hogan2008MeasurementOQ, title={Measurement of quantum fluctuations in geometry}, author={Craig Hogan}, journal={Physical Review D}, year={2008}, volume={77}, pages={104031} }

A particular form for the quantum indeterminacy of relative spacetime position of events is derived from the context of a holographic geometry with a minimum length at the Planck scale. The indeterminacy predicts fluctuations from a classically defined geometry in the form of ''holographic noise'' whose spatial character, absolute normalization, and spectrum are predicted with no parameters. The noise has a distinctive transverse spatial shear signature and a flat power spectral density given…

## 49 Citations

### Indeterminacy of holographic quantum geometry

- Physics
- 2008

An effective theory based on wave optics is used to describe indeterminacy of position in holographic spacetime with a UV cutoff at the Planck scale. Wave functions describing spacetime positions are…

### Holographic Noise in Interferometers

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- 2009

Arguments based on general principles of quantum mechanics suggest that a minimum length or time associated with Planck-scale unification may entail a new kind of observable uncertainty in the…

### Interferometers as probes of Planckian quantum geometry

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- 2012

A theory of position of massive bodies is proposed that results in an observable quantum behavior of geometry at the Planck scale, ${t}_{P}$. Departures from classical world lines in flat spacetime…

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This paper describes the Fermilab Holometer, an instrument for measuring correlations of position variations over a four-dimensional volume of space-time. The apparatus consists of two co-located,…

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- 2009

Using matrix theory as a concrete example of a fundamental holographic theory, we show that the emergent macroscopic spacetime displays a new macroscopic quantum structure, holographic geometry, and…

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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…

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- 2010

It is proposed that the spatial positions of bodies, relative to a classical metric and measured by interactions with classical radiation, are represented by directional quantum operators with Planck…

### Statistical measures of Planck scale signal correlations in interferometers

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- 2015

A model-independent statistical framework is presented to interpret data from systems where the mean time derivative of positional cross correlation between world lines, a measure of spreading in a…

### Resonant detectors of gravitational wave as a possible probe of the noncommutative structure of space

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We report the plausibility of using quantum mechanical transitions, induced by the combined effect of gravitational waves (GWs) and noncommutative (NC) structure of space, among the states of a…

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