We recede from our past particle horizon, but we approach our future event horizon.
Therefore, retarded radiation in our past light cone is cosmologically red shifted.
Advanced radiation in our past light cone is cosmologically blue shifted.
However, because the effective available space between us and our future horizon is contracting - even though space as a whole is speeding up in its expansion from the anti-gravity dark energy (virtual bosons w = -1), it follows that
Retarded radiation on our future light cone is blue shifted at our future horizon.
Advanced radiation from our future horizon to us at r = 0 is redshifted because it sees available space expanding backwards in time.
Also when you use the static LNIF representation
g00 = 1 - r^2/A
the gravity red shift of hc/Lp^4 Hawking radiation at r = A^1/2 - Lp is the observed dark energy density of hc/Lp^2A at the r = 0 detector.
This is the best of all possible explanations of the dark energy rooted in the Wheeler-Feynman idea.
OK, Jim here is the answer. We are getting closer to our future horizon in co-moving distance as cosmic time from the inflation -> hot big bang goes on.
Looking at Tamara Davis's causal diamond picture. Uncompensated advanced Wheeler-Feynman black body radiation back from our future horizon to us starts at a(then) ~ 8 billion light years
It reaches us at about
a(now) ~ 14 billion light years
~ 14/8 ~ 7/4 ~ 1.75 > 1
But this co-moving geodesic LIF cosmological redshift is still small compared to the much larger off-geodesic static LNIF gravity redshift of order
1 + z' ~ 10^123 >> 1
http://en.wikipedia.org/wiki/Redshift
So in that sense, the co-moving distance to the future horizon is contracting for retarded radiation from us to our future horizon - hence blue shift for it. The opposite for back from the future Hawking radiation from our future horizon to us - hence red shift for it.
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From: JACK SARFATTI <This email address is being protected from spambots. You need JavaScript enabled to view it.> Subject: Re: the redshift or blueshift depends on the total experimental arrang ement. Date: March 29, 2013 12:28:50 AM 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.>
On Mar 29, 2013, at 12:11 AM, "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.> wrote:
If that is so Jack, what you have is a compelling argument against Hawking radiation, the advanced part anyway, having anything to do with our present. In the static LNIF rep
gtt = 1 - r^2/A
is TIME SYMMETRIC - WORKS SAME WAY FOR RETARDED & ADVANCED.
and with that metric, which only is in our future not in our past we get
hc/Lp^4 on the future horizon r = A^1/2 - Lp redshifts down to the observed dark energy density hc/Lp^2A
that is simple mathematics from
For the blue shifting of advanced radiation is a consequence ONLY of the fact that the radiation passes from expanded space to more compact space in transit, causing the wavelength of the radiation to decrease. It has nothing to do with the circumstances of emission.
In fact its just the opposite inside our causal diamond observable patch of the multiverse.
The electron-positron pairs stuck on our relative horizon have enormous proper accelerations c^2/Lp, the horizon is not expanding at all away from us, it's at fixed r = A^1/2 - Lp from us. It has nothing directly to do with expanding space in this conformal diagram. In fact, we are getting closer in co-moving distance to our future horizon whilst receding away from our past horizon.
The way you can salvage your argument is to claim that Hawking radiation (retarded) from our past cosmic horizon is redshifted and so on.
No, that does not work at all. Our past metric is nothing like de Sitter and hc/Lp^2A is way too big in the past because A is smaller!
A approaches a fixed asymptote (middle solid curve below)
On Mar 28, 2013, at 5:32 PM, JACK SARFATTI <This email address is being protected from spambots. You need JavaScript enabled to view it.> wrote:
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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
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.
<e674bae4544742b5f8d788e8dd76bfc1.png>
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.
However, anow/athen is of order unity, i.e. 46/55. You can see we are at about 46 billion light years from Alpha creation in Penrose conformal time. Our future light cone intersects our future event horizon at roughly 55 billion light years. We have to look at the de Sitter metric in conformal time and then do a calculation of the usual anow/athen. I need to check this more carefully of course. Right now I assumed that a(t) is linear in Penrose conformal time, but this may be mistaken.
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
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
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.