On May 3, 12:59 pm, "Androcles" wrote:
<What kind of lunacy prompted Einstein to say
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? >
Both x and x' are in the domain of the function
x→ x' such that x' = x-vt"
As usual, Androcles didn't understand what I wrote on the newsgroup
or in email notes to him. Here is a summary of both.
<Andy: For my part I shall continue to assume 1+1=2 and refuse to
assume that the "time" required by light to travel from A to B equals
the "time" it requires to travel from B to A, much preferring that the
"time" required by a turtle to travel from A to B equals twice the
"time" an elephant requires to travel from B to A. >
Glird: Your gif has a picture of equation # 1:
.5[tau(0,0,0,t)+tau(0,0,0,t+x'/(c-v)+x'(c+v)]
= tau[x',0,0,t+x'/(c-v)]
In terms of esynched k clocks, Einstein's
".5(tau_0 + tau_2) = tau_1"
(which is what the equation describes) is correct. The "inequality"
implied in the second and third portions of eq 1':
.5[tau(0,0,0,t)+tau(0,0,0,t+x'/(c-v)+x'(c+v)]
= tau[x',0,0,t+x'/(c-v)] Eq 1'
= tau[0,0,0,t + x'/(c+v)],
is due to YOUR misunderstanding of what "tau[" means. YOU think it
means that "half the total time is equal to the outbound time which is
equal to the inbound time"; so for the past 10 months have repeatedly
asked,
<What kind of lunacy prompted Einstein to say
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? >
Whether deliberately or ignorantly, you fail to recognize that Eq 1
(and 1') does NOT say that the "time" tau (of the moving system) "is
EQUAL to
AB/(c +/- v)"! They were giving tau AS A FUNCTION OF t.
glird