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Home Jack Sarfatti's Blog Nonlocality of gravity vacuum energy 9-2-11

guv ~ nuv(flat) + huv

huv << nuv

and radii of curvature >> measurement scales

the Levi-Civita connection ~ huv,w will still vanish in LIFs via EEP

so if you try to make a Tuv(gravity) quadratic in huv,w it will vanish in an LIF, therefore the gravity energy is still nonlocal even in this Newtonian limit

h00 ~ 2VNewton/c^2 << 1

{LC}^rtt ~ -VNewton,r

i.e.

g = -GM/r^2 etc.

On the other hand the LIF gravity field tetrad Cartan 1-forms e^I are GCT scalar invariants. Their torsion 2-forms

T^I = De^I = de^I + (spin connection)^IKe^K

have local tensor components

Their Yang-Mills Lagrangian density is ~ TraceT^I*T^J yields a local stress-energy gravity field tensor.

Using teleparallelism you can get the Einstein-Hilbert Lagrangian from the torsion tensor.

So this approach seems to solve the problem.

On Sep 2, 2011, at 12:15 PM, Woodward, James wrote:

From: Paul Zielinski [This email address is being protected from spambots. You need JavaScript enabled to view it.

Sent: Friday, September 02, 2011 12:42 PM

To: JACK SARFATTI

Subject: Re: let's be more precise in the use of informal language

On 9/1/2011 10:38 PM, JACK SARFATTI wrote:

On Sep 1, 2011, at 9:50 PM, Paul Zielinski wrote:

Jack wrote: Einstein's GR limits to Newtonian theory in the two limits v/c << 1 and weak curvature i.e.

guv ~ nuv(flat) + huv

huv << nuv

and radii of curvature >> measurement scales

for a spherically symmetric static source

g00(static LNIF) = 1 + 2V/c^2

V = Newton's gravity potential per unit test mass

e.g

V = - c^2rs/r for finite source

r (observer) > rs

rs for Earth is ~ 1 cm

V = - /\r^2 de Sitter space

observer located at r = 0

/\ = Einstein's cosmological constant ~ dark energy density accelerating universe ~ (area-entropy of our future event horizon)^-1

Z:

How can one "locally" distinguish the effects of the dynamical acceleration of a test object observed in its own kinematical rest frame from the non-tidal effects of a Newtonian gravitational force field acting in a non-accelerating kinematical frame?

JS: I have no idea what your sentence means without seeing some equations.

Z: I

JS: Not to me.

JS: No that is completely confusing apples with oranges.

The non-tidal effects in the Ruvwl curvature tensor are measured with pairs of neighboring test particles each on geodesics.

In contrast, the g-force of Newton's gravity {LC}^rtt ~ -dV/dr is measured with a single-test particle pushed off a geodesic by an electrical-based force (including Van-der Walls forces).

Z:

JS: Not even wrong.

Given any object, if an accelerometer clamped to it moves off zero then that object is really accelerating.

http://en.wikipedia.org/wiki/Accelerometer

Category: MyBlog

Written by Jack Sarfatti

Published on Friday, 02 September 2011 13:56

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