Re: Androcles's accusations of lying


"Jonathan Doolin" <good4usoul@xxxxxxxxx> wrote in message
news:8fa38b14-fca9-458b-b299-6f0a5f5a7f72@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
On Mar 5, 3:54 pm, "Androcles" <Headmas...@xxxxxxxxxxxxxxxx> wrote:
"glird" <gl...@xxxxxxx> wrote in message

news:54e55365-8c17-40c3-9b95-5f79b34e68d2@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
On Mar 5, 9:21 am, "Androcles" wrote:
< I'll ask the stupid question again.

Do you believe the results of
"the speed of light from A to B is c-v,
the speed of light from B to A is c+v,
the "time" each way is the same " >

For the sake of others, I will repeat the answer that the android
obviously can't understand.
AS MEASURED BY THE STATIONARY SYSTEM K, "the speed of light from A to
B is c-v, and the speed of light from B to A is c+v," IN WHICH A AND B
ARE mirrors ATTACHED to system k, WHICH IS MOVING AT v


Hmmmm. Interesting turn of phrase, but no. The speed of light from A
to B is not c-v nor is the speed of light from B to A v+c. However,
if the mirrors were NOT under acceleration, this would be a reasonable
way to calcuate how long it would take for light to meet the
approaching B, (you should take distance/(c-v)) and to calculate how
long it takes for light to overtake the receding A, (you should take
distance/(c+v)).

It's really not so much a matter of adding to the speed of light, but
more like taking two straight lines with different slopes and
calculating where they intersect. It just happens that (c+v) and (c-
v) end up in the denominator when you are done.

Of course, in the Sagnac experiment, the lines are not straight, but
constrained to a circle in two dimensions. To find the time involved
there, you would need to calculate the intersection of a coil for the
motion of the mirror in 2+1 dimensions and a light-cone for the motion
of the light in 2+1 dimensions.



Ref:
http://www.fourmilab.ch/etexts/einstein/specrel/www/figures/img22.gif

http://www.androcles01.pwp.blueyonder.co.uk/SR4kids/special_relativity_for_children.htm
"He's still wet, scruffy and bedraggled", said Mole; but nobody was
listening.

"Very impressive", said Toad, "I understand it completely now", not
understanding a word of it but wanting appear knowledgeable and academic.

"But he's wet!", yelled Mole; but nobody was listening.

"So if a twin rat stayed under the tree and didn't get wet when it rained",
said Toad, ignoring Mole, "he'd be older and dryer than the twin rat on the
log. Isn't that a paradox?"

"Exactly!", said Scruffy Rat, puffing himself up with pride and relighting
his smelly wet pipe, "but the rain was accelerated sideways by the wind!
Willows, y'know - can't trust 'em".

"It's not raining!", yelled Mole; but nobody was listening.

"Your woolly coat is shrinking", noticed Toad.

"Of course, that's the Lorentz contraction", said Scruffy Rat, forgetting
he'd said he had stayed under the tree.

"But he's wet and it's not raining!", screamed Mole at the top of his voice,
"that's his woolly brain that is shrinking!"; but nobody was listening.

So everyone except Mole agreed the velocity of rats is c in all inertial
frames of reference; then they all went home for tea and argued happily ever
after.

Homework question:

What was Scruffy Rat hiding by suggesting
the speed of rats along logs from A to B is c-v,
the speed of rats along logs back the other way from B to A is c+v,
the "time" each way is the same?

a.. a) His acceleration when he turned round on the log
b.. b) His stupidity for getting wet
c.. c) The distance from the log to the bank
d.. d) His mixing up of speed in the river bank frame with distance in the
log frame (hint hint)




.

Relevant Pages

  • Re: Androcless accusations of lying
    ... B is c-v, and the speed of light from B to A is c+v," IN WHICH A AND B ... yelled Mole; ... "So if a twin rat stayed under the tree and didn't get wet when it rained", ... Androcles thinks it does not make sense to graph time on one axis ...
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