Timing (Not TiME) dilates.

$$ Tom [He between his error-bars] Roberts [GR BUFFY] wrote:
Standard clocks in GPS satellites do not remain in synch with
clocks on earth, by ~38us/day.

3. Have any differences between clocks at different
[elevations] locations on earth been observed with or
without the geoid factor or are they in synch ?

They have been observed, and the metrology folks take great pains
to keep them in synch. Paris, Greenwich, Washington DC, Boulder
CO, etc. must all correct for their height above the geoid, or
there are observable systematic drifts. -=- shrug -=-
-=-
The actual formula one must use for accurately comparing clocks
is not just "time dilation". [See: GPS PREset & REset equation].

$$ Newtonian (GR) time dilation.
$$ The EARth has an AMBiENT DENSiTY GRADiENT which varies with rA.
$$ The GPS PREset factor is rA AMBiENT density/r3 AMBiENT density.
$$ [ Where, rA = r3 + Altitude (r3 is the *local* EARth radius) ].
$$
$$ Note pendulum PERiOD tbob & pendulum LENGTH lbob vary, with rA.
$$ [ i.e. This WORKs ..especially, EVEN where there is NO orbit ].
$$
$$ G*M1 v1^2 4*(pi)^2*rA 4*(pi)^2*lbob vbob^2
$$ -- -- --- -- = ---- = -- -- -- -- = -- -- - -- -- = --- -- = g.
$$ (n - 1)*rA^2 rA tA^2 tbob^2 lbob
$$
$$ Note the pendulum LENGTH lbob varies with rA @ fixed v1 & vbob.
$$ Note the pendulum PERiOD tbob varies with rA @ fixed v1 & vbob.
$$
$$ This has NoTHiNG what-so-ever to do with GR, GTR, or GR Tivity.
$$ [ Except, of course, the GR Coup claim NEWTONiAN predictions ].
$$
$$ Both GPS PREset & GPS REset depend on rA & r3 AMBiENT DENSiTYs.
$$ [ Daily REsets are due since EARth "clock" isN'T in VLO @ r3 ].
$$ EARth's AMBiENT DENSiTY GRADiENT varies ..along AVAGADRO's Law.
$$ EARth's AMBiENT DENSiTY GRADiENT varies ..with PAULi EXCLUSiON.

It comes from [Post-Einstein Coup] GR [ONLY the NEWTONiAN part],
and includes both motion [motion is UNnecessarily included] and
gravitation. [See: The GUESS iSS GPS PREset & REset equation].

Very Low Orbit (VLO) where r = r3 ..EQUiVALENT local EARth r3.
EARth has an ELECTROMAGNETiC DENSiTY GRADiENT varying with rA.

$$$$$$$ $$$$$$$

Tom [ GR BUFFY ] Roberts wrote:
In fact, such measurements _have_ been performed over many
years by comparing clocks located at various [ELEVATiONs]
countries' standards organizations (e.g. Greenwich, Paris,
Washington DC, Boulder CO, ...[elevations; i.e. ALTiTUDEs]).

The need to correct for the effects predicted by [ ..the OLD
NEWTONiAN g = 4*(pi)^2 lbob/tbob^2 PENDuLUM ALTiMETER "CLOCK"]
GR is well established to high accuracy.
This includes time dilation due to the earth's rotation
(reflected in the altitude of the geoid), and gravitational
redshift due to height above the geoid.

$$ Coy GR Test-POiNT-mass.
$$ [A GR TEST-mass (a GR POiNT-mass) canNOT have a BULGE].
$$
$$ A GR "geoid" REQUiREs the "mixing" of FRAMEs ..at ONCE.
$$ [Theoretically, there was NO "geoid-POiNT-mass" in GR].
$$
$$ There is NO theoretical GR POiNT-mass of VARiOUS radii.

Tom, I understand that you believe there are other factors
involved in time dilation such as the geoid.

That is not a "belief", that is an experimentally observed _fact_.

$$ Yes. But it WAS NOT a FACT in ANY THEORETiCAL aspect, of GR.

Does the geoid or some other fudge apply in the twin paradox ?

The geoid is not a "fudge". And whether or not it applies to the
twin paradox depends on the physical situation being discussed
and the accuracy of measurement.

H&K compared their flying clocks with a stationary one in Denver.
-=-
Your number is wrong. But yes, one must take into account both
motion and gravitation when comparing clocks accurately. shrug

$$ NO. You *NEED* take into account ..*ONLY* the clock's ALTiTUDE.

Have they ever reported time dilation differences

Yes. You are supposed to read what I wrote (to which you are
responding). They must correct for altitude relative to the geoid,
and they do so all the time. shrug

$$ Yes. But there is NO "POiNT-mass TEST-geoid" ..in GR Tivity.

or does it only apply to theoreticals like the twin paradox?
-=-
The twin paradox is not merely "theoretical" -- it has been
experimentally observed (see the FAQ: Bailley et al, Haefle and
Keating, and also C.Alley).

$$ Utter NonSENSE. There was ABSOLUTELY no NEED of their "aeroplane".
$$ Utter NonSENSE. There was ABSOLUTELY noTHiNG NEEDed except HEiGHT.
$$
$$ A GR TEST-POiNT-mass canNOT HAVE VARiOUS radii, or Robert's BULGE.

Gravity=Anti-Buoyancy. ```Brian A M Stuckless, Ph.T (Tivity).
Timing (Not TiME) dilates. Coy GR Test POiNT-mass.
Emit detect Dirac Sea h*fL=nA*hbar*c/rA. ..END of Re-POSTs.