say what?
Yes, part of my example was to naively measure the interval between two events on a space-time diagram. This is compared with the proper interval between the events as obtained from the metric. The difference between the two measures demonstrates the error in the space-time...
Perhaps a more interesting projection is 3+1 to 4. I say this because the natural geometry of space-time is 3+1 but through our measuring and representation systems we visualise the world as 4. A space time diagram represents measurements of time and distance on a Euclidean reference grid. Since...
I have been looking at the new map of the universe created from data gathered by the European Space Agency’s Planck Telescope. The map has a red background containing gold flecks. The gold flecks representing radiation from fireball following the Big Bang, light that is thought to have been...
I am surprised that this thread has not received a single reply, perhaps I inadequately presented it, I still think it is worthy of discussion.
It is well Known that the zero arc length equation defines the path of light beams in general relativity, therefore mathematically we are on sound...
The path taken by a ray of light, from an event E1 to event E2, follows a zero arc length curve such that
E2
∫ds = 0 1.
E1
Where S is the interval along the null geodesic path between the...