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pvalev wrote:(B).
transformations. If I take
You say (A) and (C) are compatible and lead to the Lorentz
one of those transformations, namely
x = (x' + vt')/sqrt(1-v^2/c^2)
and substitute x' = -vt', I get x=0, which is your statement
with
You have chosen a version of Lorentz transformations that agrees
x',t',(B) but does not agree with (A). Substitute x=vt and you will not
obtain x'=0.
???? The standard complementary transformation back from x,t to
namely x'=(x+vt)/sqrt(1-v^2/c^2), immediately gives x'=0.x,t,
Even if one restricts oneself to the transformations from x',t' to
namely x=(x'+vt')/sqrt(1-v^2/c^2) and t=(t'+vx'/c^2)/sqrt(1-v^2/c^2) and
then substitute x=vt, one still gets x'=0. At this very elementarylevel,
your statements (A), (B) and (C) appear logically compatible whenthe
Lorentz transformations are used.you
You proposed this as a question to be presented to students. Could
please present what you would consider an acceptable studentsolution -
something more detailed than simple assertions that (A), (B) and(C) are
incompatible.