By David J Morin
ISBN-10: 1542323517
ISBN-13: 9781542323512
This booklet is written for prime institution and faculty scholars studying approximately certain relativity for the 1st time. it's going to attract the reader who has a fit point of enthusiasm for knowing how and why many of the result of particular relativity take place.
All of the traditional introductory issues in unique relativity are lined: ancient motivation, lack of simultaneity, time dilation, size contraction, pace addition, Lorentz alterations, Minkowski diagrams, causality, Doppler influence, energy/momentum, collisions/decays, strength, and 4-vectors. also, the final bankruptcy offers a short creation to the elemental rules of common relativity, together with the equivalence precept, gravitational time dilation, and accelerating reference frames.
The ebook beneficial properties greater than a hundred worked-out difficulties within the kind of examples within the textual content and solved difficulties on the finish of every bankruptcy. those difficulties, besides the discussions within the textual content, should be a priceless source in any path on exact relativity. the various examples additionally make this ebook excellent for self-study.
Very little physics heritage is believed (essentially none within the first half the book). An fascinating element of certain relativity is that it really is difficult as a result of its inherent strangeness, rather than a heavy set of physics necessities. Likewise for the mathematics prerequisite: calculus is used on a number of events, however it isn't necessary to the final circulation of the booklet.
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Additional resources for Special Relativity: For the Enthusiastic Beginner
Sample text
The large negative exponent here might make us want to throw in the towel, thinking that the effect is hopelessly small. However, the distance that light travels in the time t is ct = (3 · 108 m/s)(7 · 10–16 s) ≈ 2 · 10–7 m, and this happens to be a perfectly reasonable fraction of the wavelength of visible light, which is around λ = 6 · 10–7 m, give or take. So we have ct/λ ≈ 1/3. This maximal interference shift of about a third of a cycle was well within the precision of the Michelson-Morley setup.
POSTULATE 2: The speed of light in vacuum has the same value c (approximately 3 · 108 m/s) in any inertial frame. This statement certainly isn’t obvious, or even believable. But on the bright side, at least it’s easy to understand what the postulate says, even if you think it’s too silly to be true. It says the following. Consider a train moving along the ground with constant velocity. Someone on the train shines a light from one point on the train to another. The speed of the light with respect to the train is c.
1 will also need to involve only differences in coordinates. We’ve been talking a lot about “events,” so just to make sure we’re on the same page with the definition of an event, we should give some examples of things that are not events. If a train is at rest on the ground (or even if it is moving), and if you look at it at a snapshot in time, then this doesn’t describe an event, because the train has spatial extent. There isn’t a unique spatial coordinate that describes the train. If you instead consider a specific point on the train at the given instant, then that does describe an event.