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# Back From The Future Dark Energy?, Red Shift? Blue Shift? Updated 30 March, 2013 V4 • Jack Sarfatti Addressing some of Jim Woodward's key objections. (some key equation jpgs from original missing here - too lazy now to put them in)

Let's work some elementary toy models.

Start with the static LNIF class of detectors

the proper acceleration is

g ~ gtt^-1/2dgtt/dr

1) gtt = 1 - rs/r

rs/r < 1

Let the source be at r ---> infinity, therefore gtt(source) ~ 1

1 + z = (1 - rs/r)^1/2 < 1 BLUE SHIFT

Both retarded and advanced radiation will seem to work in exactly the same way because the static metric is time symmetric.

Homework problem 1
Reverse roles of source and detector to get a red shift.

2) simple de Sitter space. Note our future universe approaches this metric, our past universe is not at all de Sitter. You cannot model our past particle horizon with a de Sitter metric in our early universe.

gtt = 1 - r^2/A

this is observer-dependent.

The detector INSIDE the horizon is at r = 0 where gtt = 1

Let, the emitter be near the horizon a distance Lp from it as in Lenny Susskind's stretched membrane model

First of all now we see we have a red shift because for all r

1 + z = (1 - r^2/A)^-1/2 > 1

In particular, for the stretched membrane

r ~ A^1/2 - Lp

1 + z = (1 - (A - 2A^1/2Lp + Lp^2)/A)^-1/2

where Lp^2/A << 1

1 + z ~ + (Lp/A^1/2)^-1/2 = (A^1/2/Lp)^1/2 = femit/fobsv >> 1

Suppose further that

femit = c/Lp

Therefore,

fobsv = femit(Lp/A^1/2)^1/2 = (c/Lp)(Lp/A^1/2)^1/2 = c/(LpA^1/2)^1/2

i.e. c/(Geometric mean of shortest and longest length scales)

This red shift is for retarded radiation from a past de Sitter horizon and/or

advanced radiation from a future de Sitter horizon.

However, we do not have a past de Sitter horizon.

The Unruh temperature for c/(LpA^1/2)^1/2 via Stefan-Boltzmann law gives precisely the observed dark energy density hc/Lp^2A.

However, to get w = -1 ZPF at r = 0 and to fit the facts, this must be advanced red shifted Wheeler-Feynman Hawking-Unruh radiation of energy density hc/Lp^4 on our future horizon.

Jim Woodward's blue shift is a different concurrent effect from

This will be a relatively small co-moving cosmological blue shift subtraction from the dominant acceleration = gravity (EEP) red shift.

Note that as is intuitively obvious from Tamara Davis's horizon diagram below

(A^1/2/Lp)^1/2 ~ (10^29/10^-33)^1/2 ~ 10^31 >> anow/athen

That is, there is no way a cosmological blue shift of the advanced radiation can over power this huge gravity red shift on the stretched horizon.

There are several causes of frequency shift, cosmological, peculiar velocity, gravity-acceleration.

In the case of retarded radiation from us in the accelerating actual universe, the cosmological redshift would be super-imposed on the acceleration blue shift for the static LNIF. The latter will dominate because of gtt^-1/2 --> infinity classically at our future horizon's intersection with the emitter's future light cone that happens at a finite-comoving distance.

Also if you look at Hawking's paper and compare it with Tamara Davis's diagram, it's obvious that no retarded radiation can ever reach us from our future dark energy horizon. Yet, Hawking says we can see horizon radiation. Therefore, it would follow that the horizon radiation we see is net advanced Wheeler-Feynman radiation.
• ##### Jack Sarfatti
Red Shift? Blue Shift? Both?
Jack Sarfatti Not sure of this yet

Begin forwarded message:

From: JACK SARFATTI <This email address is being protected from spambots. You need JavaScript enabled to view it.>

Subject: the redshift or blueshift depends on the total experimental arrangement.
Date: March 28, 2013 5:19:43 PM PDT
To: "This email address is being protected from spambots. You need JavaScript enabled to view it." <This email address is being protected from spambots. You need JavaScript enabled to view it.>
Bcc: james Woodward <This email address is being protected from spambots. You need JavaScript enabled to view it.>

Jim

Bottom line, is that it looks like there are two competing effects for the advanced waves.

I. Your dynamic co-moving LIF back-from-the-future blue shift

II. My static LNIF advanced red shift.

with II >> I

For the co-moving metric detectors
1 + z = femit/fobs definition.

1 + z = anow/athen derivation from the co-moving metric for null geodesics

k = 0

1) retarded spherical waves of positive frequency in an expanding universe

Therefore, then = emit be in our past.

now = obsv

1 + zret = anow/athen

1 + zret = > 1 retarded co-moving LIF red shift

2) advanced spherical waves of positive frequency in an expanding universe coming back from the future to now from a co-moving emitter to a co-moving receiver

1 + zadv = femit/fobs = anow/athen < 1 advanced co-moving LIF blue shift

Which was what you said.

The situation is different for static LNIF detectors in which the far future metric in de Sitter space for our accelerating dark energy universe is

ds^2 ~ -c^2(1 - r^2/A)dt^2 + (1 - r^2/A)^-1dr^2 + ...

we are at r = 0 and the proper acceleration of the detector at fixed r is

g(r) ~ g00^-1/2dg00/dr

g00 ~ 1 - r^2/A

g(future horizon) -> infinity classically

in fact it's large and finite c^2/Lp ~ 10^54 cm/sec^2 from the Planck cut off

Now in fact the virtual electron positron pairs are stuck on this horizon relative to us at r = 0. They have plenty of energy from their local thermal bath of Unruh photons to become real pairs relative to us.

They will Hawking radiate advanced waves to us from r = A^-1/2 to us at r = 0 at their local temperature of

T = hg/ckB = hc/LpkB

Now use the time symmetric static LNIF redshift formula starting from r = A^1/2 - Lp emission to r = 0 US reception.

The redshifted result is

T' = hc/(LpA^1/2)^1/2

Using the Stefan Boltzmann law this is an energy density ~ T'^4, i.e. hc/Lp^2A exactly as observed for the dark energy density.

Since we at r = 0 have zero proper acceleration, we see this energy as w = -1 virtual photons of mean frequency c/(LpA^1/2)^1/2 rather than the w = + 1/3 real photons.

So we have TWO effects simultaneously.

Yes, there will I think be a small LIF blue shift correction to the much larger static LNIF advanced redshift.

1 + zadv = femit/fobsv = anow/athen < 1 advanced co-moving LIF blue shift