On Thu, Jan 3, 2019 at 3:58 AM Bruce Kellett <[email protected]> wrote:


> *> The 't' in your formula above is the coordinate time, not the proper
> time. *
>

What the hell are you talking about? If I travel from event A to event B
and use the formula x^2 + y^2 + z^2 -(ct)^2  where x,y,and z are the
differences in spatial coordinates I observe and *t is the proper time* it
took for me to make the trip I will get an invariant.  If you also travel
between event A and B but use a different path you will get entirely
different numbers for x, y and z and you will get a different number for *the
proper time t,* but when you plug in your numbers into x^2 + y^2 + z^2
-(ct)^2  you will get the exact same value I do.


> *> The proper time is defined as the time kept by a perfect clock
> travelling on a geodesic.*
>

No it is not! The  proper time is defined as the time measured by a clock
along ANY line through spacetime and it doesn't matter a hoot in hell if
that line is a geodesic or not. And you said "*Proper time is the distance
through spacetime*" but every book on physics on the planet will tell you
that the distance through spacetime is an invariant; but proper time is NOT
a invariant, different observers can have different proper times, even you
know this because you said "*two different orbits of the Earth, both
geodesics, can coincide at a pair of events.  They will measure different
proper times between those events*". So your ideas are not self consistent
but then they had to be, spacetime distance and proper time aren't even in
the same units.

The reason you need both a odometer and a clock in your car is that they
measure different things. And no matter how hard you try you're never going
to be able to subtract seconds from meters, so why are we still arguing
about this when it's obvious you're wrong?


> > *And a geodesic is the path along which the rate of time is constant.*
>

What the hell?! Obviously the rate of time is always constant for any
observer in the same reference frame as the clock regardless if the path is
a geodesic or not, it will always change at the rate of one second per
second . It doesn't take a Einstein to know that.

John K Clark

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