I first came across the concept that everything moves through space-time at constant speed in an article on Special Relativity in New Scientist magazine back in the 1980s and found it most illuminating, certainly a fascinating and intuitive way to consider relativistic time-dilation.
It got me thinking and I came up with a model that also covers relativistic length-contraction and simultaneity, and extended it to the field of General Relativity.
I wrote it up, put it to one side and pretty much forgot about it until recently when I picked it up again, ripped it to pieces and rewrote it. Here it is, but even after all these years, it's still a work-in-progress.
Updates
Mar 25: updates on Gravitational Attraction and world-lines, interpretation of F(r) as a speed, general tidying etc.
Oct 24: addition to Gravitational Attraction section (deriving inverse square law); space flowing towards a star; changes for clarification, readability etc.