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Apr 11, 2017 · My favourite books on special relativity, both advanced and with a strong geometric flavour, are: É. Gourgoulhon, Special Relativity in General Frames: From Particles to Astrophysics, Springer, 2013. G. L. Naber, The geometry of Minkowski spacetime, Springer, 2010. They both require a non-basic knowledge of linear algebra.
May 15, 2013 · It is a mistake to think that special relativity (SR) causes magnetism. The article you're reading is arguing that (A) "If electricity exists, and SR is true, then magnetism has to exist". This statement is true, I admit it. But it's equally true that (B) "If magnetism exists, and SR is true, then electricity has to exist".
Mar 8, 2016 · According to SRT (special relativity theory), from the viewpoint of triplet A the clock of triplet B must really be running slower! This is a prediction made by SRT. When the triplet A and triplet B are united with triplet C, however, triplet A discovers that the clock of triplet B is NOT running slower!
Jan 31, 2018 · To demonstrate that, let us consider the behavior of objects that, although slow-moving, nonetheless act in accordance with the laws of the special theory of relativity. Fig. 1. The ship on the left is at rest on the water surface.
The assumptions you need to prove this (and other relativistic dynamics) are: (1) the postulates of special relativity (2) de Broglie's relation (3) conservation laws (this along with 1 also imply the Newtonian approximation at low speeds, but it's better to list it directly, since it's where the definitions of energy and momentum come from).
Lorentz boost is simply a Lorentz transformation which doesn't involve rotation. For example, Lorentz boost in the x direction looks like this:
Nov 14, 2017 · Special relativity, while excellent at handling accelration, has no gravity in it. The equivalence principle(s) says that locally, gravitation behaves like an accelrated system. If you put that on top of "special relativity is true locally", and work through the math, general relativity falls out. $\endgroup$ –
Dec 6, 2015 · $\begingroup$ Interestingly general relativity is not use per se in calculations for GPS systems. Rather, a nice little trick involving special relativity (applying a series of Lorentz transformations in infinitesimal steps) is what it does. This turns out to be sufficiently accurate and a lot easier computationally. $\endgroup$ –
This enforces special relativity's speed limit: No material object can be accelerated to light speed. The increase in inertial mass is part of a more general phenomenon, the relativistic equivalence of mass and energy: If one adds energy to a body, one automatically increases its mass; if one takes energy away from it, one decreases its mass.
Sep 8, 2016 · According to special relativity, a photon traveling at the speed of light, does not “experience” time. Nor would you if you were travelling at the speed of light. (Whilst you can't actually travel at the speed of light, you can in theory travel so close to the speed of light that we couldn't tell the difference).
