Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-07
Phys.Rev.D79:124009,2009
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, 2 figures; v2: factors of Planck mass written explicitly, typos corrected
Scientific paper
10.1103/PhysRevD.79.124009
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 a new observable phenomenon, holographic noise, with phenomenology similar to that previously derived on the basis of a quasi-monochromatic wave theory. Traces of matrix operators on a light sheet with a compact dimension of size $R$ are interpreted as transverse position operators for macroscopic bodies. An effective quantum wave equation for spacetime is derived from the Matrix Hamiltonian. Its solutions display eigenmodes that connect longitudinal separation and transverse position operators on macroscopic scales. Measurements of transverse relative positions of macroscopically separated bodies, such as signals in Michelson interferometers, are shown to display holographic nonlocality, indeterminacy and noise, whose properties can be predicted with no parameters except $R$. Similar results are derived using a detailed scattering calculation of the matrix wavefunction. Current experimental technology will allow a definitive and precise test or validation of this interpretation of holographic fundamental theories. In the latter case, they will yield a direct measurement of $R$ independent of the gravitational definition of the Planck length, and a direct measurement of the total number of degrees of freedom.
Hogan Craig J.
Jackson Mark G.
No associations
LandOfFree
Holographic Geometry and Noise in Matrix Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Holographic Geometry and Noise in Matrix Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holographic Geometry and Noise in Matrix Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-449865