Actually thinking about it further, since the /\zpf is to first approximation really constant, the dark energy force should be in concordance with the Casimir QED force, the negative gradient of linear confinement potential in the effective 1D parallel plate symmetry problem (different from the EVO thin spherical shell of charge).

(String Tension)A/\zpf = (c^4/8piG*)A/\zpf

String Tension = Space-Time Stiffness

proportional to the area of the flat plates

i.e.

Casimir QED Force + Dark Energy Force = ahcA/L^4 + (Space-Time Stiffness)/\zpfA

Note that if we use Planck scale, then

Space-Time Stiffness = 10^19Gev per 10^-33 cm

If we use the Type 1A Supernova data

/\zpf ~ 10^-56 cm^-2

So that's

Dark Energy Force between the plates ~ 10^+52(Gev/cm)x10^-56(cm^-2) A(cm^2)

i.e. 10^-4A(cm^2)Gev/cm^3 ~ A10^-410^9Joules/cm = A(cm^2)10^5Joules/cm

which is way too big. This can mean that the ambient /\zpf on small lab scales is much smaller than the measured /\ on the enormous cosmological scale and or that the effective space-time stiffness is much smaller than the Planck estimate from extra space dimensions for example. That is the effective G* >> G on the scale where QED Casimir forces are measured. Or both, or the whole idea is wrong, which is also possible.

Note, that if the string tension was only 1Gev per fermi (hadronic string Regge trajectories)

That's

c^4/8piG* ~ 10^9evx10^13cm^-1 = 10^22 ev/cm

(c^4/8piG*)/\(Type 1a Supernovae) = 10^-5610^22 ev/cm^3 = 10^-34 ev/cm^3

which is way too small.

On the other hand, suppose we use ZPF induced Sakharov gravity idea

hc/L^2 = c^4/8piG*

Where L is the separation of the plates of area A

We then have an effective Dark Energy Density of

(hc/L^2)/\zpf

with a Dark Energy Gravity Force

(hc/L^2)/\zpfA

Compare that with the Casimir QED force

a(hc/L^4)A

The dimensionless ratio of the two forces is

(Dark Energy Force)/(Casimir Force) = (hc/L^2)/\zpfA//(hc/L^4)A = L^2/\zpf

Using the Type 1A supernovae number, this is a very small number << 1.

On the other hand with metric engineering Josephson wave interference phase modulation we can presumably greatly amplify /\zpf at small scales.

On Oct 25, 2005, at 1:43 PM, art wagner wrote:

(http://xxx.lanl.gov/PS_cache/astro-ph/pdf/0510/0510547.pdf)

From: Jack Sarfatti

To:

Subject: Who is Saibal Ray? & Lab Dark Energy Detector

Date: Tue, 25 Oct 2005 12:53:29 -0700

Title:

CLASSICAL ELECTRON MODEL WITH NEGATIVE ENERGY DENSITY IN EINSTEIN– CARTAN THEORY OF GRAVITATION

DOI No:

doi:10.1142/S0218271804004712

Source:

International Journal of Modern Physics D [Gravitation; Astrophysics and Cosmology], Vol. 13, No. 3 (2004) 555-565

Copyright:

World Scientific Publishing Company

Author(s):

SAIBAL RAY

Corresponding address: Department of Physics, Barasat Government College, Barasat 700 124, North 24 Parganas, West Bengal, India

Inter-University Center for Astronomy and Astrophysics, Pune, India

SUMANA BHADRA

Balichak Girls' High School, Balichak 721 124, West Midnapur, West Bengal, India

History:

Received 21 June 2003

Abstract:

Experimental result regarding the maximum limit of the radius of the electron (~10-16 cm) and a few of the theoretical works suggest that there might be some negative energy density regions within the particle in the general theory of relativity. It is argued in the present investigation that such a negative energy density also can be obtained with a better physical interpretation in the framework of Einstein–Cartan theory.

Keywords:

Electron model; energy density; Einstein–Cartan theory

Full Text:

View full text in PDF format (167KB)

TOC:

Back to contents of Vol. 13, No. 3

Corrected 2nd Draft

On Oct 25, 2005, at 12:32 PM, Jack Sarfatti wrote:

PRESS RELEASE

Below I give a SIMPLE Bohr-Einstein GEDANKENEXPERIMENT to LOCALLY MEASURE DARK ZERO POINT ENERGY IN THE LABORATORY!

On Oct 24, 2005, at 8:39 PM, saibal@iucaa.ernet.in wrote:

"excellent! i also believe that's true!"

saibal ray

I first published this in my two books at end of 2002 on http:// amazon.com

Destiny Matrix

Space-Time and Beyond II

Kaku is being sloppy again this use of "negative Casimir energy" is

pure nonsense.

What needs to be negative is not "Energy" but

Energy Density + 3Pressure

When that is negative you get universal repulsive gravity in the

Newtonian-Galilean limit of GR.

All zero point energy obeys the rule

Energy Density + Pressure = 0

This is required by

Lorentz invariance + Equivalence Principle.

On Oct 24, 2005, at 7:22 PM, yuzhou@pacbell.net wrote:

To: Jack Sarfatti

From: Richard D.K. Johnson

aka Dick Johnson

aka Richard Baird (pen name)

President, San Francisco Science Fiction Society

Date: Mon. 24 October 2005

United Nations Day

"In Michio Kaku's January 2005 book Parallel Worlds

he talks about building a warp drive (pages 334-336):

He says:

'One possible way to [travel across interstellar distances]

is to use the Alcubierre warp drive machine...you would have

to employ large quantities of both negative and positive energy'

to power your starship. (Positive energy could be used to

compress the space in front of you and negative energy to

lengthen the distance behind you.) To use the Casimir

effect to create this negative energy, the plate would have to

be separated by the Planck distance, 10^-33 centimeters....To

build such a starship, you would have to build a sphere

[or a saucer?!] and place the passengers inside...Russian

physicist Sergei Krasnikov showed...the inside of the

starship is disconnected from the space outside the ship---that

is, once inside the ship, you cannot change the path of

the starship. The path has to be laid out before the

trip is made. One could...[lay out an interstellar]

railway by fist using conventional rockets that travel at

sublight speed to build rail stations at regular intervals

between stars. Then the starship would travel between

these stations at super light speed according to a timetable..'

Do you agree with the above analysis?"

NO!

Yours, Richard

On Oct 25, 2005, at 10:21 AM, Dr. Eric Davis wrote:

"Jack:

Kaku was making a point using a toy model as an example, but he didn't consider alternative methods to generating negative energy density. On engineering technical grounds you cannot use the Casimir Effect to generate a warp drive metric using cavity plate separations on the order of the Planck length (per Johnson's e- mail to you where he quotes a section from Kaku's latest book)."

Wait a minute. Stop right there.

1. I agree with you that the particular scheme Kaku suggests will not work.

BUT

2. I am making a more fundamental point of principle for ALL possible designs.

That is, in Newtonian-Galilean limit, GR says

Grad^2V(Gravity) ~ (G/c^2)(Energy Density + 3 Pressure)

Now for ordinary matter

Pressure << Energy Density

and that recovers Newton's theory of gravity.

But CASIMIR is ZPF and for isotropic ZPF

w = -1

from Lorentz invariance + Equivalence Principle

any one who says different is seriously wrong from the MAINSTREAM POV

e.g. Rocky Kolb, Mike Turner et-al

http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Kolb1/default.htm

http://www-conf.slac.stanford.edu/ssi/2005/lec_notes/Kolb2/default.htm

also Peacock p. 26 Cosmological Physics

The QED Casimir potential energy per unit test particle rest energy is

V(Casimir)/c^2 = ah/mcr

In contrast the ABSOLUTE GRAVITY of the ZPF dark energy I am talking about is the QUALITATIVELY different term

V(Dark Energy Core)/c^2 = /\zpfr^2 (3D Harmonic Oscillator "Spring" Confinement)

/\zpf > 0

Where for an EVO in a thin charged spherical shell configuration with charge Q, mass M and SPIN S about an axis through its center of mass, with a uniform dark energy ZPF negative pressure core on the inside of the spinning shell, the total effective potential in the Newtonian-Galilean limit of 1915 GR (for initial simplicity toy model) is

V(r)/c^2 = ah/Mcr + bQ^2/Mc^2r + (S/MCr)^2 + /\zpfr^2

a is a pure number from QED, e.g. DeWitt's "regularization"

b is a pure number for the self-Coulomb energy of the extended thin shell of charge Q.

In the usual classical mechanical way

dV(r)/dr = 0

determines the equilibrium size of the EVO

d^2V(r)/dr^2 > 0

shows the STABILITY of this configuration.

When N = 1, Q = e, M = mass of electron, S = h/2

My original discovery is the /\zpfr^2 term that solves the old Lorentz/Abraham-Becker Poincare Stress issue for the electron as an extended Bohm hidden variable piloted by the Quantum Potential - as Vigier needs for his "tight atomic states" theory with possibly the NEW FORM OF ATOMIC ENERGY investigated experimentally in Beograd. I mean ATOMIC not NUCLEAR here.

When you do this in general relativity, the low energy size 10^-11 cm of the micro-geon will shrink down to 10^-16 cm as the impact parameter r ~ h/p, p = scattering momentum transfer increases. One has to use a Kerr-Newman Metric of course. /\zpf adjusts to give the observed m ~ 10^-27 gm.

Now for WARP DRIVE my point is

Energy Density + 3Pressure = (Energy Density)(1 + 3w)

is what must go negative NOT Energy Density ALONE as Kaku SLOPPILY says!

That's my point.

For Cold Matter w ~ 0 positive

For EM radiation w = +1/3

The QUINTESSENT FIELD BOUNDARY is at w = -1/3

w < -1 is PHANTOM ENERGY with the BIG RIP DOOMSDAY WMD

"I AM SHIVA Destroyer/Creator of Universes"!

Eric:"There is no technology known today that can engineer a cavity with such miniscule plate separations."

Obviously, but here is my ORIGINAL DARK ENERGY DETECTOR GEDANKENEXPERIMENT!

Even if we did, so what? Now of course, virtual photons have positive ZPF energy density with negative pressure. Therefore, even though for parallel plates of area A separated by L you may have the weak QED Casimir force

-dU(Casimir)/dL ~ ahcA/L^4

You will also have

-dU(Dark Energy)/dL ~ (c^4/8piG*)L^2/\zpf (1D NONLINEAR Oscillator Vacuum SPRING)

You have completely neglected this term.

Note that c^4/8piG* is STRING TENSION and /\zpf has dimension 1/Area

That is the Dark Energy CONFINEMENT EXOTIC VACUUM SPRING DETECTOR

This directly measures the SUPERSTRING TENSION "alpha'" of Ed Witten.

If there are EXTRA SPACE DIMENSIONS we will measure G* >> G.

The above was a mindless dimensional analysis.

Other possible dimensionally consistent formulae are

(c^4/8piG*)LA^1/2/\zpf 1-D Harmonic Oscillator Vacuum Spring

(c^4/8piG*)A/\zpf (linear confinement potential)

Note that

c^4/G* = STRING TENSION = SPACE-TIME STIFFNESS "FORCE"

Sakharov's idea is ZPF induced gravity i.e.

hc/L^2 = c^4/8piG*

L = effective CUTOFF

Note this is

1/L^2 = c^3/hG*

"Plate separations that small are unrealistic because the Casimir effect switches over into the non-retarded field behavior (~ d^ƒ {3) of van der Waals forces when plate separations go below the wavelength (~ 15 nm) where they are no longer perfectly conducting."

Eric, I know all this TEXT BOOK QED STUFF. It's COMPLETELY IRRELEVANT to the INTERESTING NEW PHYSICS!

Regards,

Eric

Eric W. Davis, Ph.D., FBIS

Inst. for Advanced Studies at Austin

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