Is would be nice to eliminate the following from the Twin Paradox:
1. Acceleration
2. Clock synchronization
3. Reciprocal Geometric effects
4. Optical Doppler effects
5. Relative simultaneity
6. History problems
7. Asymmetries
8. Lorentz transformation
It seems to me that by eliminating some or all of these things, we
can have a better chance of seeing what is really happening.
Oddly enough, we can simplify the Twin Paradox by adding a third
person, and this addition will completely eliminate all but one of
the above items (item 6).
This Triplet Version is not my idea, but comes from a respected
"relativist" and mathematician (by the name of Wayne Throop).
http://mentock.home.mindspring.com/twins.htm
Although he used three people, we need to use three clocks in order
to eliminate item 6. (Clocks can be instantly made to read any time
upon starting.)
Here is the Triplet Case with clocks:
[clocks and their time readings are in brackets]
Inertial-moving clocks A and B meet in passing when they both read
zero.
Clock B moves to the right at speed .6c wrt Clock A
----------------------[B0]-->.6c
----------------------[A0]
Clock B meets Clock C, which is made to copy B:
-----------------------------------------[B4]-->.6c
----------------------------------.6c<--[C4]
-----------[A4]
C is moving in the opposite direction at .6c wrt A
C finally catches up with A
[C8]
[A10]
Switching back to people (because we can all relate to people
much better than we can relate to clocks), we see that Ann (as
Clock A) is older than Carl (or Clock C).
Physical aging is an intrinsic phenomenon, and must have a
physical cause. This means that a difference in ages for those
who were born at the same time (such as triplets) must also
have a physical cause.
Ann could have been a grandmother while Carl was still a shy
teenager, but there were no accelerations and no Einsteinian
synchronization.
This raises the question Why do people in different frames age
differently?
1. Acceleration
2. Clock synchronization
3. Reciprocal Geometric effects
4. Optical Doppler effects
5. Relative simultaneity
6. History problems
7. Asymmetries
8. Lorentz transformation
It seems to me that by eliminating some or all of these things, we
can have a better chance of seeing what is really happening.
Oddly enough, we can simplify the Twin Paradox by adding a third
person, and this addition will completely eliminate all but one of
the above items (item 6).
This Triplet Version is not my idea, but comes from a respected
"relativist" and mathematician (by the name of Wayne Throop).
http://mentock.home.mindspring.com/twins.htm
Although he used three people, we need to use three clocks in order
to eliminate item 6. (Clocks can be instantly made to read any time
upon starting.)
Here is the Triplet Case with clocks:
[clocks and their time readings are in brackets]
Inertial-moving clocks A and B meet in passing when they both read
zero.
Clock B moves to the right at speed .6c wrt Clock A
----------------------[B0]-->.6c
----------------------[A0]
Clock B meets Clock C, which is made to copy B:
-----------------------------------------[B4]-->.6c
----------------------------------.6c<--[C4]
-----------[A4]
C is moving in the opposite direction at .6c wrt A
C finally catches up with A
[C8]
[A10]
Switching back to people (because we can all relate to people
much better than we can relate to clocks), we see that Ann (as
Clock A) is older than Carl (or Clock C).
Physical aging is an intrinsic phenomenon, and must have a
physical cause. This means that a difference in ages for those
who were born at the same time (such as triplets) must also
have a physical cause.
Ann could have been a grandmother while Carl was still a shy
teenager, but there were no accelerations and no Einsteinian
synchronization.
This raises the question Why do people in different frames age
differently?
