Recent content by dvf

(Quibble) Almost correct. Mathematically that should be: If ##Δx_A=0## then ##Δt_B>=Δt_A## and If ##Δx_B=0## then ##Δt_A>=Δt_B##. And then, if they insist on having them both in one scenario, then clearly: If ##Δx_A=Δx_B=0## then ##Δt_B>=Δt_A## and ##Δt_A>=Δt_B##, and thus...

Good question. See Maxwell–Jüttner distribution.

Fwiw--not much apparently--I think you missed the point, but feel free not to lose any sleep over it :cool:

Nice diagram! Fwiw, note that : (*1) in the top figure, where Red touches the green car simultaneously with both hands, Green protests and says that Red is cheating because he does not touch his green car simultaneously. According to Green, Red touches the green car's front too late and the...

There's a nice comment about that on page 2-22 of http://www.eftaylor.com/pub/chapter2.pdf

It's pretty common jargon: https://www.google.com/search?q="spacetime+interval"&tbm=bks

(Quibble) ... which will or will not falsify the postulates. I think that "validate" is too strong, as it might be interpreted as a synonym of "prove".

No, more like, from a distance you look smaller to me, and I look smaller to you.

Measured time differences increase by a factor gamma, but c.t' = c.t.gamma only for x=0 (see Wikipedia Time dilation) Measured distances decrease by a factor gamma, but x' = x/gamma only for t'=0 (see Wikipedia Length contraction) Combining these two clearly distinct situations with two events...

Nah. Gravity can be modeled with geometry. The former is physical and the latter is mathematical. The Sun has a LOT of mass.

Lots of diagrams at https://en.wikipedia.org/wiki/Slope

To get a slope 1/2 between the horizontal and a line, you do *not* bisect the 45 degrees angle. Instead you draw a line with slope 1/2, which means climbing 1 unit for every 2 units of horizontal displacement. That gives an angle of 26.6 degrees, not one of 22.5 degrees. See...

Then you need Arctan(1/2) between the ct-axis and the ct'-axis, and thus 45 degrees -Arctan(1/2) between the ct'-axis and the light diagonal.

Oops, I meant 45 degrees - Arctan(1/2) = 18.4 degrees.

Try using an Arctan(1/2) = 26.6 degrees angle.