On 6/11/2011 1:20 AM, Felix Hoenikker wrote:
Hi Russell,
Do you have any further thoughts on my idea that entanglement and
gravity are linked together? I really believe that this is the
solution to the EPR paradox and the black hole information paradox,
but I haven't heard any qualified opinion on the subject yet.
Thank you!
F.H.
I'm afraid I don't understand how your idea qualitatively predicts all
features of GR without QCD or QFT. or what it means for (Feynmann
diagram?) loops to have net entanglement coming out. I think you need
to be more explicit and precise (e.g. mathematical). The idea that GR
can be explained in terms of QFT and entropic fluctuations has been
around a long time (c.f. Sakarov). Here's a recent post of from a friend
on the question:
===
Cosmological Constant in Induced Gravity
The recent work of Velinde, Padmanabhan and others have provided
significant support for the proposal by Sakharov that gravity, rather
than being a fundamental force in nature is the result of the quantum
fuzziness of all the other forces in nature. That is gravity naturally
results from the uncertainty principle when applied to the zero point
energy of the quantum fields.
In QFT this zero point energy is predicted to be many orders of
magnitudes greater than is actually observed, this is the famous
cosmological constant problem. Recently, it has been proposed that the
calculation of the zero point energy of quantum fields can be corrected
by including a ghost” sector where there are particles which give an
opposite action to gravity. Based on this idea, the vacuum state is
balanced between the action density of the normal and ghost sector,
canceling out the predicted vacuum energy. In several models proposed
Dark energy results from a small imbalance between the normal and ghost
sectors as a function of the future horizon in the Hubble volume,
analogous to negative vacuum energy density that is expected around the
event horizon of a black hole. We can write the equation for this as;
rho_vac= chi^a*integral Dw L(+) + chi_a*Integral Dw L(-)
Therefore, it might be useful to turn Einstein's General Relativity on
its head , and express the curvature of space time as a function of a
local and global cosmological constant, that is a shift in the vacuum
energy density of the vacuum.
Given the fundamental set of equations from General Relativity
R_mu,nu -(1/2)*R*g_mu,nu = kappa*T_mu,nu =G_mu,nu
We can write
G_mu,nu= kappa*{ T_mu,nu ( matter) - T_mu,nu(vacuum)}
G_mu,nu={ Lambda( local) + Lambda(global)} *g_mu,nu
Here we can say that the energy of the gravitational field, as is Dark
Energy, is stored in the vacuum. In any region of space we can say there
is a density of energy proportional to minus the square of the gravity
field.
Rho_vac(local) =- - k*g^2
Where k is a constant of proportion. Using Einstein's equation for the
CC we can easily define k.
g= Lambda*c^2*R/3
We can define R as the Rindler Horizon
R= sqrt[3/lambda]
Therefore
kappa*rho_loc= - 3*g^2/c^4
rho_loc= - {3/(8*pi*G)}*g^2
Given
dS/dE= 1/(K_b*T) = (1/F)*(dS/dR) = 1/(K_b*T)
Where K_b is the Boltzmann constant and S is entropy related to the
gravity field.
F= (dS/dR)*K_b*T
Given the Bekenstein Bound
S= 2*pi*R*m*c/hbar
And the Davies -Unruh equation
K_b*T= g*hbar/ (2*pi*c)
We get
F= m*g
A significant problem with this approach is the expected SUSY cutoff for
the ZPE. Ideally this model can hopefully be combined with a cut off at
the Planck scale, not the SUSY scale. This problem becomes even more
severe in models where SUSY breaks at low energy. One possibility is
that there are string modes unaffected by SUSY which can bring the
cutoff to the Planck scale or the some scale close to the Planck scale.
The upper KK spectrum might be a good candidate. There may also be mass
splitting that evade the SUSY symmetry in the high energy symmetry
breaking events such as the GUT scale or even the Planck scale. Or
outside the string paradigm SUSY may not be symmetry of nature, though
this seems unlikely given the effect on the inclusion of SUSY in the
calculations of the running couplings.
Bob Zannelli
Brent
-- Forwarded message --
From: Felix Hoenikkerfhoenikk...@gmail.com
Date: Sat, Jun 4, 2011 at 3:03 AM
Subject: The final TOE?
To: Everything Listeverything-list@googlegroups.com
Hi all,
Consider the following fully general way of saying this is the
following: quantum mechanics and general relativity are symmetrically
the exact same theory, modulo the additional bit of information
that quantum entanglement reduces net gravitational energy. This is
the EXACT answer to the EPR paradox, and all paradoxes about
singularities, and consistent with our picture of reality in every
respect, as it necessarily must be since it follows