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[Phys-l] Gravity as Quantum Entanglement Force




In an idea closely related to Verlinde's entropic force for gravity
Jae-Woon Lee, Hyeong-Chan Kim and Jungjai Lee are proposing a unified dark energy
gravity model. This basic approach is fairly close to a model of dark
energy and gravity I have posted on several times. This model proposes that
gravity and Dark Energy (the ZPE only) is based on a vacuum state measurement
process. Symmetry breaking events also contribute to vacuum energy density
but these contributions are expected to be independent of this hypothetical
process.

Invoking the Reeh-Schlieder theorem they define a generic Quantum vacuum
field. In a spherical region with a radius r having Quantum fields they get

S_ent=beta*r^2/b^2

Where b is the cutoff and beta is an O(1) Constant of that depends on
the Quantum field used. This leads to


S_ent=SUM { all j} beta_j*N_j*(r^2/b^2= alpha*r^2/L_plk^2

And alpha defined as

alpha=(1/8*pi)SUM {all j} b_j*N_j


Where N_j are spin degrees of freedom.

Looking at Dark Energy they get


E_ent=int { sigma} dE_ent=k_b*T_ent*int{Sigma} dS_ent=
hbar*c*R_h^2/(2*piR_h*l+plk) =

c^4*alpha*R*h/(2*pi*g)

Where R_h is the cosmic horizon and integrating over the surface sigma.
From this we can see that


alpha=pi


If the entropy of the volume is saturated.

rho_lambda=3*c^2*alpha/(8*pi*G*R_h^2) = 3*d^2*c^3*M_plk^2/(hbar*R_h^2)


Where d is defined as



d=sqrt[alpha/pi] =1 when the volume has saturated entropy.

The equation of state is given by

w= -(1/3)*{1+2*sqrt[O_lambda]/d}



Which given that our Hubble volume is at saturated entropy gives us

W= -(1/3)*{1+2*sqrt[O_lambda]} = -.903


The observational bounds for w is -.88 to -1.18



This model is well accommodated by utilizing the expanded particle states
introduced by Klauber and myself. Normally in calculating the zero point
energy only the positive energy fluctuations are summed over


int D(w) L(+)= B-F/(4*pi^2 int 0 to k_co} w*k^2 dk= B-F/16*pi^2*M_susy^4 =
1E47 J/m^3


Where B and F are the Fermion and Boson degrees of freedom. These are
defined as the traditional particle states.

This is of course an absurd prediction. But by summing over the
"supplemental" particle states we get



int D(w) L(-)= F-B/(4*pi^2 int 0 to k_co} w*k^2 dk= F-B/16*pi^2*M_susy^4 =
- 1E47 J/m^3


However, based on this model the space time curvature, as related by the
scalar curvature parameter derived by tracing over the Ricci Tensor, shifts
the global action density between the traditional and supplemental
particle states


rho_zpe= chi_a int D(w)L(+) + chi^a*int D(w)L(-)


It's not clear exactly the form that

chi^a.chi_a

might take though something on the order of

chi^a*chi_a= 1- k*R^2

seems needed

This gives us

rho_zpe= - {(1-O_m-O_r-O_con)c^2/(16*pi*G)}*R

Where R is scalar curvature term.


R_00= -3*dH/dt

R_11=R_22=R_33= -(2*H^2+dH/dt+k*c^2/a^2}

R= - 6*(H^2+ dh/dt+k*c^2/(2*a^2)) = approx - 6*H^2

Bob Zannelli









Gravity as Quantum Entanglement Force
Authors: _Jae-Weon Lee_
(http://arxiv.org/find/hep-th/1/au:+Lee_J/0/1/0/all/0/1) , _Hyeong-Chan Kim_
(http://arxiv.org/find/hep-th/1/au:+Kim_H/0/1/0/all/0/1) , _Jungjai Lee_
(http://arxiv.org/find/hep-th/1/au:+Lee_J/0/1/0/all/0/1)
(Submitted on 24 Feb 2010)

Abstract: We conjecture that quantum entanglement of matter and vacuum in
the universe tend to increase with time, like entropy, and there is an
effective force called quantum entanglement force associated with this
tendency. It is also suggested that gravity and dark energy are types of the
quantum entanglement force, similar to Verlinde's entropic force. If the
entanglement entropy of the universe saturates the Bekenstein bound, this gives
holographic dark energy with the equation of state consistent with current
observational data. This connection between quantum information and gravity
gives some new insights on the origin of gravity, dark energy, the
holographic principle and arrow of time.

_http://arxiv.org/PS_cache/arxiv/pdf/1002/1002.4568v1.pdf_
(http://arxiv.org/PS_cache/arxiv/pdf/1002/1002.4568v1.pdf)

*******************************************



Mechanism for Vanishing Zero-Point Energy
Authors: _Robert D. Klauber_
(http://arxiv.org/find/astro-ph/1/au:+Klauber_R/0/1/0/all/0/1)
(Submitted on 24 Sep 2003 (_v1_ (http://arxiv.org/abs/astro-ph/0309679v1)
), last revised 19 Jul 2007 (this version, v3))

Abstract: In addition to the two standard solutions of the quantum field
equations having the form e^{+/-(iwt-ikx)}, there exist two additional
solutions of the form e^{+/-(iwt+ikx). By incorporating these latter solutions,
deemed "supplemental solutions", into the development of quantum field
theory, one finds a simple and natural cancellation of terms that results in an
energy VEV, and a cosmological constant, of zero. This fundamental, and
previously unrecognized, inherent symmetry in quantum field theory shows
promise for providing a resolution of the large vacuum energy problem, simply
and directly, with little modification or extension to the extant
mathematics of the theory. In certain scenarios, slight asymmetries could give rise
to dark energy.

_http://arxiv.org/abs/astro-ph/0309679_
(http://arxiv.org/abs/astro-ph/0309679)