On Saturday, 19 August 2017 00:08:29 UTC+2, tjrob137 wrote:
> On 8/16/17 8/16/17 9:25 AM, Nicolaas Vroom wrote:
> > On Wednesday, 9 August 2017 21:04:42 UTC+2, tjrob137 wrote:
> >> SR can certainly explain the twin paradox, quantitatively. Including
> >> instantaneous or finite accelerations. GR can be used as well, but in
> >> flat spacetime it of course gives results identical to those of SR.
> >>
> >> Acceleration most definitely is NOT the root cause:
> >
> > I do not understand this. (See bottom)
>
> Hmmmm. Note that muons experiencing 10^18 g as they go around a ring have
> the same lifetime measured in the lab as muons that travel at the same
> speed along a straight line with essentially no acceleration.
> So acceleration does not affect the timekeeping mechanism of muon decay.
Okay But muon decay is a physical process which has its own (quantum
mechanical) rules. Let us emphasize the experiments mentioned at page
167 of the book GRAVITATION in chapter 6 (Accelerated observers)
which are about to the Twin paradox.
> GPS satellite clocks are likewise unaffected by their acceleration,
> giving us confidence to apply the same idea to all clocks:
> they are unaffected by acceleration.
And that is only true if these clocks work based on muon decay and I
doubt that. Anyway GPS clocks require continuous synchronisation and
there must be a reason why.
> And that is how SR and GR model it.
IMO SR, GR and Newton's supply the descriptions in mathematical form
how the universe changes and evolves. The cause are primarily forces.
> >> 1. Good clocks are unaffected by acceleration (as long as they are not
> >> broken by it). Experiments show that the timekeeping mechanism
> >> governing muon decay is not affected by a proper acceleration of
> >> 10^18 g (!).
> >
> > The condition of the experiment should be such that after all the clocks
> > meet again they should all tick at the same rate.
>
> Can't be done. Experiments are what they are, not what you WISH them to be.
What I understand of all the experiments is when you start the experiments
you should test that all clocks tick at the same rate and when the experiment
is finished you should test again. Muon decay is a different process.
> >> 5. The basic calculation is of the elapsed proper time over a (timelike)
> >> path through spacetime. When calculated in flat spacetime using an
> >> inertial frame, acceleration does not appear in the integral, but
> >> speed does.
> >
> > If you want to do it accurate you have to take all the speeds into
> > account involved (starting 'slowly' from zero to v and back
> > at each dt) whichimplies acceleration.
>
> THIS calculation can handle arbitrary accelerations. But the
> accelerations do not contribute to the result, only the resulting path
> and its speed (relative to that inertial frame)
> contribute. That is, acceleration affects the path but not
> the calculation itself, but the calculation depends on the path.
Okay
> > The root cause is that the physical behaviour of clocks is affected
> > by speed.
>
> No! NOT AT ALL! Experiments show the opposite: speed does not affect
> the physical behavior of clocks.
Speed affects the innerworking and the positions of the dials on the
clock using light signals.
This is equivalent as the number of revolutions or ticks of the clocks.
> It only affects how observers MEASURE them.
Observing the time on the clock, the event of looking, has nothing to do
with the physical behaviour of a clock.
(It is the same as when you open the box)
> That, however, does not make it "imaginary", or "fictitious",
> or "illusory", because it can have real physical consequences
> (such as pion beams 1 km long being useful).
>
> If what you claim were true, Einstein's first postulate of SR
> could not possibly be valid. But myriad experiments show that
> SR is valid.
For a clock, based on the speed of light, it is important that the
speed of light is constant.
The more there is a discrepancy the less accurate this clock is,
> Tom Roberts
Thanks
Nicolaas Vroom