Squeezed Coherent Macro-Quantum States

So as not to give the wrong idea below about Heisenberg, the uncertainty principle and complementarity still hold. What is not true is the over-simplified view, apparently first introduced by Heisenberg himself, but he corrected his error quickly, is that ALWAYS looking at the quantum object disturbs the object.

"It is possible to devise experiments where the disturbance is totally negligible, but where the Heisenberg relations are still valid. They are enforced by the complementarity of quantum mechanics."

e.g. non-demolition measurements in gravity wave detectors.

A note on quantum optics. Let ak and a*k destroy and create photons in mode phi(x)k. This need not be a plane wave mode. It can be a localized cavity mode. k does not necessarily mean wave number.

For now assume the photons are real, i.e. on mass shell excited states OUTSIDE the vacuum, not virtual photons INSIDE the vacuum.

Real photons can make QED detectors click, virtual photons cannot. However, virtual photons, and ALL virtual quanta do have direct gravity effects IF they have a net random zero point energy density that is not absorbed into the vacuum condensate.

Roughly Zero Point Energy Density = (Incoherent ZPE density)[1 - Lp^n|Vacuum Condensate|^2]

n = 2, or 3 depending how one normalizes, e.g. n = 2 in the world hologram model.

The general single-mode squeezed state is of the form

|z,s> = e^(za*-z*a)e^(sa*a* - s*aa)|0>

= coherent superposition in Fock occupation number space.

In space time this is

Define P ~ i(a - a*), Q ~ (a + a')

Wigner phase space density is in the P-Q symplectic plane. This has nothing to do with actual position momentum space.

Roughly

P^2 + Q^2 =

tan(theta) = P/Q

The unsqueezed coherent state Wigner phase space density is a displaced circular base Gaussian peak in the P-Q plane as a complex plane, i.e. an arrow of length ^1/2 and orientation theta. The squeezed state is an ellipse base peak with major axis either along P or Q directions.

The trick now is to do same thing for virtual quanta INSIDE the vacuum!

On Mar 4, 2005, at 1:49 PM, Jack Sarfatti wrote:

I am sitting in a video conference at Kavli Institute Thoeretical Physics at UCSB with Peter Galison's face on a big screen and three actors reading from his book "Einstein's Clocks & Poincare's Maps" all about clock synchronization in modern technology!

"Heisenberg's formulation of a dynamical disturbance necessarily induced on a syatem by a measurement was experimentally proved wrong" Seth Lloyd et-al
ref Scully, Englert et-al NATURE 351, 111, (1991)

"Heisenberg's principle ... is not a principle in modern quantum mechanics" S. Lloyd ... ref. H.P. Robertson, Phys Rev 34, (1929)

We had readings from Michael Frayn's play "Copenhagen" and Slyboots Stoppard's "Arcadia". Alan Lightman author of Einstein's Dreams will comment. Last night we had Penny Penniston's play "Now Then Again" on changing the past in parallel worlds via advanced destiny waves FROM the future. The playwright wanted presponse so I explained the issue of signal nonlocality to Penny who is a professor of theater at Northwestern. See also SCIENCE 19 Nov 2004, Vol 306, 5700 especially p.1331 Fig 1

"Heisenberg's formulation of a dynamical disturbance necessarily induced on a syatem by a measurement was experimentally proved wrong" Seth Lloyd et-al
ref Scully, Englert et-al NATURE 351, 111, (1991)

"Heisenberg's principle ... is not a principle in modern quantum mechanics" S. Lloyd ... ref. H.P. Robertson, Phys Rev 34, (1929)