Twin Paradox & Quantum Theory
- From: "Ken S. Tucker" <dynamics@xxxxxxxxxxxx>
- Date: 28 Apr 2007 02:20:32 -0700
Sometimes working with relativity is easier using
Quantum Theory around Planck's constant invariant,
"h", let me do a bit ground work,
Energy (E) = h * f , (frequency).
In old style, frequency = number of cycles / second,
I'll call f = N cycles/ (t=1second) , giving,
E = h*N/t == h/T with T = t/N
where T is the time of 1 cycle expressed as a fraction
of a second, providing us with,
h = E*T = 6.62...x10^-27 Ergs x 1 second,
the RHS being the common value of "h".
Of course, because E=Mc2, fiddle with constants
and make,
h = M*T.
We can think of Mass "M" sitting in CS K lab,
beside a clock ticking every T, as a "lab" standard
of "h". Relatively to a moving (even accelerating) CS K',
those "lab" standards transform as,
h = E*T = E'*T' ,
because "h" is a universal constant invariant.
For example, if K' is moving at 0.8c relative to K
then,
E' = (10/6)*E , T' = (6/10)*T
meaning the Mass standard in K has more energy
(because of the kinetic energy component) relative
to K', and the clock in K ticks slower relative to K'.
Is that an agreeable alternative, perhaps easier way
to study the "twin paradox"?
Regards
Ken S. Tucker
.
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