$$ Tom [He between his error-bars] Roberts [GR BUFFY] wrote:
> Standard clocks in GPS satellites do not remain in synch with
> clocks on earth, by ~38us/day.
>
> > 3. Have any differences between clocks at different
> > [elevations] locations on earth been observed with or
> > without the geoid factor or are they in synch ?
>
> They have been observed, and the metrology folks take great pains
> to keep them in synch. Paris, Greenwich, Washington DC, Boulder
> CO, etc. must all correct for their height above the geoid, or
> there are observable systematic drifts. -=- <shrug> -=-
-=-
> The actual formula one must use for accurately comparing clocks
> is not just "time dilation". [See: GPS PREset & REset equation].
$$ 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.
$$ EARth's AMBiENT DENSiTY GRADiENT varies ..with PAULi EXCLUSiON.
> It comes from [Post-Einstein Coup] GR [ONLY the NEWTONiAN part],
> and includes both motion [motion is UNnecessarily included] and
> gravitation. [See: The GUESS iSS GPS PREset & REset equation].
Re: Very Low Orbit (VLO) where r = r3 ..EQUiVALENT local EARth r3.
Re: EARth has an ELECTROMAGNETiC DENSiTY GRADiENT varying with rA.
$$$$$$$ $$$$$$$
> > Tom [ GR BUFFY ] Roberts wrote:
> >> In fact, such measurements _have_ been performed over many
> >> years by comparing clocks located at various [ELEVATiONs]
> >> countries' standards organizations (e.g. Greenwich, Paris,
> >> Washington DC, Boulder CO, ...[elevations; i.e. ALTiTUDEs]).
> >> The need to correct for the effects predicted by [ ..the OLD
> >> NEWTONiAN g = 4*(pi)^2 lbob/tbob^2 PENDuLUM ALTiMETER "CLOCK"]
> >> GR is well established to high accuracy.
> >> This includes time dilation due to the earth's rotation
> >> (reflected in the altitude of the geoid), and gravitational
> >> redshift due to height above the geoid.
$$ 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".
$$ Utter NonSENSE. There was ABSOLUTELY noTHiNG NEEDed except HEiGHT.
$$
$$ A GR TEST-POiNT-mass canNOT HAVE VARiOUS radii, or Robert's BULGE.
Re: Gravity=Anti-Buoyancy. ```Brian A M Stuckless, Ph.T (Tivity).
Re: Timing (Not TiME) dilates. Re: Coy GR Test POiNT-mass.
Re: Emit detect Dirac Sea h*fL=nA*hbar*c/rA. ..END of Re-POSTs.
brian a m stuckless - 09 Apr 2006 11:34 GMT
$$ 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.
[quoted text clipped - 7 lines]
> 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].
Re: Very Low Orbit (VLO) where r = r3 ..EQUiVALENT local EARth r3.
Re: 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_.
$$ Yes. But it WAS NOT a FACT in ANY THEORETiCAL aspect, of GR.
> > Does the geoid or some other fudge apply in the twin paradox ?
>
[quoted text clipped - 3 lines]
>
> > H&K compared their flying clocks with a stationary one in Denver.
-=-
> Your number is wrong. But yes, one must take into account both
> motion and gravitation when comparing clocks accurately. <shrug>
$$ 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.
Re: Gravity=Anti-Buoyancy. ```Brian A M Stuckless, Ph.T (Tivity).
Re: Timing (Not TiME) dilates. Re: Coy GR Test POiNT-mass.
Re: Emit detect Dirac Sea h*fL=nA*hbar*c/rA. ..END of Re-POSTs.