In my travels from forum to forum, I've met few people who even know what algebra is let alone how to use it. In high school, algebra was my worst subject but now I've learned to love math.. Before I start I must warn people:
Warning: This thread contains simple math and may cause serious cranial distress.
There that should frighten away almost everyone.
So I'm going to construct a theory of relativity from first principles using only simple algebra. I'm not going to start with any of Einstein's assumptions or terminology but my one assumption will generate most of the same results as Einstein's theory of relativity and then some. ("then some" meaning it can make predictions relativity can't make)
The color of the math will be different. Relativity and Minkowski favor hyperbolic equations that are the difference of squares whereas I prefer the Epstein/Pythagorean circular equations that are the sum of squares. Don't worry, Epstein and Minkowski spacetime diagrams are convertible into each other but it's an extremely painful process so I will stick with the more familiar Minkowski while using sum of squares equations. Think of it as being a mathlete employing parallel bar techniques on a pommel horse.
Hi this is future me revising posts I made in the past. The following paragraph is true but I no longer use this concept of rotated coordinate systems. I now only use 1 cartesian coordinate system with 3 axes: ct, ct' and x.
It all starts with two blank sheets of Cartesian graph paper that will be placed on top of each other and rotated. Each will have a vertical axis labelled ct and a horizontal axis labelled x . The rotated sheet will have the labels ct' and x' to differentiate the sheets. At no time will either square Cartesian coordinates be crushed sideways into any Minkowski rhombic coordinates. However as one sheet is rotated joined at the origin to the other, it's Cartesian squares will get larger and larger until they get infinitely large once a 45 degree rotation (signifying light speed) is achieved. Don't worry if you can't visualize what I'm talking about, it will be illustrated in the next post.
Edited by ralfcis, 18 December 2019 - 03:27 PM.
Trolling buffonery. Don't be a dick