Re: [Phys-l] Re. Simultaneity

[John Denker <jsd@av8n.com>]

On 05/21/2009 01:05 PM, Bob Sciamanda wrote:
> If one uses the original Minkowski coordinates (x,y,z,w; where w =
> ict), one can maintain the orthogonality of x vs w and x' vs w' axis
> pairs in spacetime diagrams.

Please explain.  I've never seen it done.

a) Presumably we all agree that within each set of axes, the actual
  axes are orthogonal in actual spacetime, but
b) I don't know how to project that onto the page of the diagram in 
  such a way that the projected axes are orthogonal on the page,
  for more than one set of axes at a time, except in trivial cases.

c) Forsooth I don't even know how to do an orthogonal projection of 
  ordinary Euclidean X,Y,Z axes onto the page in such a way that the 
  three projections are orthogonal on the page.
    http://www.phys.unt.edu/~klittler/demo_room/mech_demos/Vector%20Rods.jpg