I don't usually post here because I don't agree with the present state of
theoretical physics.
Specifically, why must so many equate the concept of a designed and created
universe with
religious fanatacism. I will probably encounter the usual attacks and go
away again for several years, but here goes. see below

"El Enrrabadore-mor" wrote in message
...
It is said that a speeding clock shows less elapsed time than
the stay-at-home clock, because (if already speeding) it is
running at a slower rate. Or else, because it had run at a
slower rate when it was speeding, assuming now it is
stopped near the stay-at-home clock.

The funny thing about this is that time and length change
at the same time, but not the ratio between both (velocity).

If we keep length constant, the only possible solution is
uniform circular motion. That is a twin travelling in circles,
of constant radius r, around the first twin assumed to be
stopped at the center of rotation.

First as I recall, Einstein (he wasn't an idiot) equates gravity and
acceleration. I must say here that if gravity affects the path of EMR then
it is logical to assume that it is a form of electromagnetism. Gravity
"bends space." I feel that one of the problems with space/time theory in
general is the confusing of mathematical analogy (in this case the bending
of free space) with reality. Space is not actually bent, curved, or warped
by gravity. It is expressed this way in Gaussian mathematics.

What is actually happening is that the path of EMR is affected by gravity
such as to change the vectors of the propagation of EMR. The plural of
vector is used here because
the mass/energy relationships with sublight velocities in relation to all
other mass/energy(gravitational) fields are relativistic. That is, they
depart from Newtonian mechanics in to the realm of the incomprehensible.

What I am trying to say is that since there is a constant change in
direction and also an associated acceleration toward the twin standing at
the center of motion there will be a field set up in free space that may
give far different results than depicted in your description of the
situation.

The increase in mass due to rotational velocity will become a prominent
factor. This will create a rotating gravitational field. What are the
directional characteristics of the gravitational field? I doubt that they
are non-existant.

When EMR is released from a source, no matter what the velocity of the
source, it then travels at speed c. This is the standard of reference for
space/time theory. There is a set propagation velocity in free space for
EMR no matter what the frequency. The velocity c could also be perceived as
propagation delay. This strongly indicates that free space is not empty.
It is some sort of EM fabric with qualities that keep light transmission to
a reference standard.

The direction of the radio waves from one twin to another is uncertain. The
gravitational effects are uncertain. A quanta of light may gain mass due to
some aspect of curvature within the confined system. If matter is in
actuality a form of light then the EM system with light as its essence can
be accelerated such as to increase its mass.

What the gravitational field would be within your theoretical system I
cannot say. What I do suspect is that this is a simplified model of what is
known as an atomic particle.

That is, a rotating system that "bends" space such that a self-perpetuating
identity is formed. Space is not bent. What is actually happening is
possibly something along the lines of a complex electomagnetic relationship
that could only be understood if the true nature of gravity was known.

The actual transmission mechanism for the various forms of EMR are quite
complex and rely on the propagation delay incorporated into free space. To
comprehend what gravity does to the vector relationships of EMR is,
well...........not even Einstein could understand it.

Would both clocks tick at the same rate in this situation? Possibly,
because they are confined within the same gravitational effect.

End of attempt to speculate upon something that is beyond human
comprehension, at least for now. Mark




Let's say the radius r is a constant value of 100 light-seconds
(r = 100c).
The speeding twin goes on a spaceship at 0.999c.
Therefore, the angular speed 'omega' is v/r = 0.999c/100c
= 0.01 rad/s.
The speeding twin takes 628 seconds to have a complete turn
of 360 degrees.

For small values of t, the speeding twin is almost going in
a straight line, but is fact it has a centripetal force f = m c^2/r
= m c/100, being the centripetal acceleration c/100, towards
the first stopped twin in the center of rotation.

Both twins have powerful antennas that broadcast radio
spherically around the entire space. Both twins are tuned
to each other frequency/radio-station.

Since the distance r = 100c between the emitter and the
receptor is constant, obviously that both twin will hear
each other radio (music) in perfect conditions.

Nevertheless, relativity says that the clock synchronising
the emission of the speeding twin must be running at
a clock rate close to zero. Theoretically, the speeding
twin won't have any trouble receiving the stay-at-home
radio emission, but the stay-at-home twin cannot
receive the speeding twin radio emission, because
the speeding clock is running near zero.
The speeding twin radio emission will take infinite
time to broadcast one single spoken word. The
stay-at-home will be dead by the time the speeding
twin could say a single word.

The trouble seams to be the acceleration:
a = (0.999)^2 c/100 which is about c/100.
(Here the number 100 means 100 seconds).
That's a huge gravity field of 300,000g at
a radius of 100 light-seconds, just imagine
the value it will be at Earth radius based
on the inverse-square Law.)

I presume that such acceleration of 300,000g will
be responsible for a clock speed up rate that
should keep time unchanged after all.

Any comments welcome.