Holographic Noise

Terms: Holographic Noise (1,550), inter-pixel grating noise (2), pixel grating noise (2), planck radiation (34,200), self-focusing (139,000), self-focusing beams (55), speckle imaging (26,700), speckle noise (80,200),

[gr-qc/9906003] Measuring the foaminess of space-time with gravity-wave interferometers - One of us (YJN) gave a seminar on the topic of space-time measurements to a very receptive audience at the University of Connecticut in the fall of 1993.

[0712.3419v5] Measurement of Quantum Fluctuations in Geometry

An, Xin (1998-04-27) Long-term large-scale holographic storage in LiNbO33 - In Chapter 6, a very important holographic noise source, the inter-pixel grating noise, is evaluated theoretically based on a linear (small-signal) model, followed by experimental investigation of its influence on the system error performance of a large-scale memory. Random-phase modulation in the signal beam is discussed and demonstrated as an effective way to suppress this holographic noise.

Wikipedia - Planck Length,

\ell_P =\sqrt\frac{\hbar G}{c^3} \thickapprox 1.616 252 (81) \times 10^{-35} \mbox{ meters}

R_{\mu \nu} - {1 \over 2}g_{\mu \nu}\,R + g_{\mu \nu} \Lambda = {8 \pi G \over c^4} T_{\mu \nu}

Boolean: "einstein equation" +"dimensional analysis" (695),

Terms: cosmological constant (787,000), value of cosmological constant (332), einstein radius (11,800), curvature tensor (125,000),

R_E = \Lambda_E^{-1/2} = {c \over \sqrt{4\pi G\rho}}.   ~~ 10^10 light years

Scalar curvature - More generally, scalar curvature of an n-sphere with a radius r is n(n-1)/r^2\,.

Gaussian curvature - Divergence Theorem - Stokes Theorem - List of vector identities -

\vec{\nabla} (fg) = f(\vec{\nabla}g) + g(\vec{\nabla} f)

\vec{\nabla} \cdot (f\vec{A})=f(\vec{\nabla} \cdot \vec{A})+\vec{A} \cdot (\vec{\nabla} f)

\nabla\times (f\vec{A})=f(\nabla\times\vec{A})+(\nabla f)\times\vec{A}

(\vec{A} \times \vec{B}) \cdot (\vec{A} \times \vec{B}) = A^2 B^2 - (\vec{A} \cdot \vec{B})^2 = \vec{B} \cdot (\vec{A} \times (\vec{B} \times \vec{A}))

\iiint\limits_V\left(\nabla\cdot\mathbf{F}\right)dV=\iint\limits_{\partial V}\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\!\;\;\;\subset\!\supset \mathbf F\;\cdot\mathbf n\,{d}S .

\oint_C \mathbf{E} \cdot d\mathbf{l} = \int_S \nabla \times \mathbf{E} \cdot d\mathbf{A}  = - \ { \mathrm d \over {\mathrm d t} } \int_S \mathbf{B} \cdot d\mathbf{A}

\oint_C \mathbf{H} \cdot d\mathbf{l} = \int_S \nabla \times \mathbf{H} \cdot d \mathbf{A}  = \int_S \mathbf{j} \cdot d \mathbf{A} + {\mathrm d \over {\mathrm dt}} \int_S \mathbf{D} \cdot d \mathbf{A}

Terms: cosmological constant problem (51,200), vacuum energy density (34,300), radiation energy density (8,730), zero temperature (541,000), zero point energy (995,000), vacuum energy (280,000), unruh temperature (969), quantized fields (24,400), unruh radiation (3,110), temperature of the vacuum (1,050),

Terms: vacuum energy density (34,300), blackbody energy density (45), mach principle (78,700), Lense-Thirring (44,000), frame dragging (96,600),

T = \frac{\hbar a}{2\pi c k}              kT = \frac{\hbar a}{2\pi c}

Terms: holographic universe (635,000), holographic principle (94,700), black hole entropy (76,900), quantum decoherence (55,300), quantum computing (3,000,000), reliable quantum computers (992), fault tolerant quantum computation (24,700), fault tolerant quantum * (39,400),

http://www.theory.caltech.edu/people/preskill/

[0903.4129] Level of holographic noise in interferometry - planck radiation is generally uniform (not self-focusing).

Terms: space time foaminess (9), graininess of spacetime (27), quantum foam (148,000),