[1] Sam [ -worms ] Wormley wrote:

$$ "It takes an infinite amount of time ..at which point,..".

$$ [ VELOCiTY is ANY VECTOR/duration but SPEED is ANY PATH/duration ]:

o o o o

X o Q vector

o o o projection

A - - - VELOCiTY vector - -> B - - - - -> C

o o o

P o Y

o o o o

ANY path ..trajectory.

$$ Any VELOCiTY vector can ONLY be "MEASURED" ..in RETROSPECT.

$$ [ Radar gun VELOCiTY vector, ONLY in "SECOND-hand" RETROSPECT ].

$$

$$ [Vector VELOCiTY, (A->B)/t, is iNDEPENDANT of path SPEED, (A~B)/t].

$$ NOTE: Any *OTHER iMAGiNARY* velocity, BETWEEN any OTHER TWO points

$$ (each located on the SAME path) will indicate a DiFFERENT velocity

$$ vector, albeit (even though) THAT SAME *path* clearly doN'T CHANGE.

$$ [i.e. Note, velocities X->Y and P->Q are vectors on the SAME PATH].

$$

$$ Momentum UNcertainty varies iNVERSELY with the PATH's STRAiGHTNESS.

$$ You need BOTH velocity vector END-POiNT positions at ONCE.

$$ The VELOCiTY is ALWAYs known _ONLY_ in retrospect, so 'dv'

$$ caN'T EVER be known, at ONCE (i.e. ..at ANY *DURATiON* t).

$$ Atomic giga-frequency counters ..of REAL time.

The BEST atomic clock is SiMPLY a GiGA-frequency-COUNTER.!!

And, even the VERY best ATOMiC clocks CANNOT be SYNCRONiZED

TOGETHER, at once, on any GR or any OTHER sort of Ph.Tivity

TiME-line (i.e. WORLD-line), in ANY SPACE-time-continuum.!!

$$ All "clocks" are simply various FREQUENCY-COUNTERs used

even since very early on in PRE-history (to wit, period

tally-marks ..on excavated sticks & bones), to "TRY-to"

*CLOCK* ..the "REAL TiME".!! NOT to mention SUN & MOON.

However, a sort of TiME-AVERAGED simultaneity is achievable

..all having to compensate (REset) for design mysteries.!!

$$ DELTA v, (dv), caN'T *HAPPEN* ..all at ONCE.

$$ Simultaneity happens AT ONCE; EveryTHiNG else needs TiMiNG.

$$ And, *REAL* TiME is why *SHOP (LAB)* TiME has *ERROR* bars.

$$ ANY clock MOViNG ..or MOVED any LOWER ..will run FASTER.!!

$$ ANY clock MOViNG ..or MOVED any HiGHER, will run SLOWER.!!

$$ ANY clock's HORiZONTAL "SLOW transport", is UP transport.

$$ ANY clock moving OUT [ HORZ ] on a turn table", moves UP.

$$ ANY clock VARiES in ALTiTUDE for ANY horizontal TRANsPORT.

$$ Three VELOCiTY vector END-POiNT positions REQUiRED, for dv.

$$ Three VELOCiTY vector END-POiNTs (3 positions) define a dv.

$$ [GR Tivity CRACKED-pots: NOTE 'dt' caN'T HAPPEN ..at ONCE].

[2] Delta t (dt), PERiOD.

$$ A COMPULSORY selection of ARBiTRARY choices.

$$ [That COMPULSORY standard ..of ARBiTRARY units].

$$ Tom [ He between his error-bars ] Roberts [@GR.BUFFY.com] wrote:

$$ "One *CAN* differentiate ..[DiFFERENT] readings on a clock".

$$ "One *CANNOT* differentiate [ONE reading] on a clock" ..duh.

$$ ["*CANNOT* differentiate [DiFFERENT] readings [at ONCE]" duh.]

$$ [The MORE atomic-TiCKERs ..the BETTER "clocking"-AVERAGE t].

$$ [MORE atomic-TiCs/STANDARD TiC; BETTER clocking _ACCURACY_].

$$ [Our STANDARD TiC-TOC TiME is STiLL Least-Squares-adjusted].

$$

$$ [TiME is the POiNT where the clock sits on it's WORLD-line].

$$ [TiMiNG is the *DiFFERENTiATiON* of DiSTiNGUiSHABLE POiNTs].

$$ [ -- A *MAGNiTUDE*-of-a-timing is WHAT a clock "READs" -- ].

$$

$$ No CLOCK-READiNG can exhibit ONE *DURATiON*, at ONCE, dooOP.

$$ [A CLOCK-READiNG can exhibit ONLY ONE *tic COUNT*, at ONCE].

$$ [One MUST "differentiate" BETWEEN *READiNGs*, of the clock].

$$

$$ TiME is ANALOG but FREQUENCY is DiGiTAL.. dimwit.

$$

$$ COMPULSORY selection; ARBiTRARY choice.

$$ [Clock-READiNG: An UNadjusted MAGNiTUDE-of-TiMiNG counted ].

$$ [ANY "clock" is a *totally _ARBiTRARY_* human construction].

$$ [The clock-"READiNG" is ALSO a totally _ARBiTRARY _ choice].

$$

$$ [i.e. NATURE wants GR to have COHERENT GUESS iSS STANDARDs].

$$ And the ARBiTRARiNESS is "of _CHOiCE_" not _SELECTiON_, duh.

$$ [ i.e. The CHOiCE is ARBiTRARY ..a SELECTiON is COMPULSORY].

$$ You ARBiTRARiLY CHOOSE a COMPULSORY STANDARD ..then MEASURE.

$$ [i.e. "..to COUNT tics".]

$$ [ ALPHABET is ARBiTRARY but we SELECT one CHOiCE ..to WRiTE ].

$$ That COMPULSORY standard ..of ARBiTRARY units.

Re: COMPULSORY selection & ARBiTRARY choices; ..The STANDARD set.

Re: Time is analog; Frequency, digital.

Re: Delta t (dt), PERiOD. End (2) edited RePOSTs.