Has anyone derived the Lorentz-transforms by using 'simple' geometrics? If so, could I get a link for the paper please. I tried to google for one but couldn't find.
derz said:Has anyone derived the Lorentz-transforms by using 'simple' geometrics? If so, could I get a link for the paper please. I tried to google for one but couldn't find.
robphy said:Can you be more specific as to what you mean by 'simple' geometrics? Who is the target audience? and what is their background?
Do you want a geometric construction? formulation via analytic geometry? or by trigonometry? vector methods? group methods? operational construction using light-rays?
derz said:Target audience: everyone who wants to learn about SR or find a simpler way to derive it
I'd appreciate papers with geometric construction and papers that formulate SR with analytic geometry.
Sorry about not being specific in my first post, I'm not a native english speaker and wasn't sure what to look for
K calculus predated Bondi, Milne's "Kinematic Relativity" depended on it.pervect said:Bondi's "Relativity and common sense" would be my recommendation, or some other book using an equivalent approach. This approach is sometimes known as k-calculus, but it actually involves only high school algebra.
I may be biased, because Bondi's book was one of the first books I read.
derz said:Has anyone derived the Lorentz-transforms by using 'simple' geometrics?
Such a premonition would have been an extraordinary triumph for pure mathematics [...] though it now can display only staircase wit
The present book explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and provides the basis of understanding of the special relativity effects of time dilation, length contraction, and the relativity of simultaneity. Bondi's K-calculus is introduced as a simple means of calculating the magnitudes of these effects, and leads to a derivation of the Lorentz transformation as a way of unifying these results. The invariant interval of flat space-time is generalised to that of curved space-times, and leads to an understanding of the basic properties of simple cosmological models and of the collapse of a star to form a black hole. The appendices enable the advanced student to master the application of four-tensors to the relativistic study of energy and momentum, and of electromagnetism. In addition, this new edition contains up-to-date information on black holes, gravitational collapse, and cosmology.