Length Contraction: Light & Spaceships

Forestman
Messages
212
Reaction score
2
I understand the explanation for time dilation involving the light clock on the spaceship, or a train. But what is used to explain length contraction. Is there another example that is used involving a light beam and a spaceship.
 
Physics news on Phys.org
Forestman said:
I understand the explanation for time dilation involving the light clock on the spaceship, or a train. But what is used to explain length contraction. Is there another example that is used involving a light beam and a spaceship.

The first situation used a light clock oriented transverse (perpendicular) to the direction of relative motion to reveal time dilation.

Now, use a light clock oriented longitudinally (parallel) to the direction of relative motion... and require that one tick of this clock has the same duration as that of the first clock.

Look at my avatar.
 
Last edited:
Thanks robphy. I think I understand it now.
 
Well if you understand time dilation you are doing well, very well, indeed. I came across this recently and while I believe it's correct, it sure is interesting...anybody like to explain it?


In special relativity, the time dilation effect is reciprocal: as observed from the point of view of any two clocks which are in motion with respect to each other, it will be the other party's clock that is time dilated. (This presumes that the relative motion of both parties is uniform; that is, they do not accelerate with respect to one another during the course of the observations.)

In contrast, gravitational time dilation (as treated in general relativity) is not reciprocal: an observer at the top of a tower will observe that clocks at ground level tick slower, and observers on the ground will agree. Thus gravitational time dilation is agreed upon by all observers, independent of their altitude.

http://en.wikipedia.org/wiki/Time_dilation
 
Thread 'Can this experiment break Lorentz symmetry?'
1. The Big Idea: According to Einstein’s relativity, all motion is relative. You can’t tell if you’re moving at a constant velocity without looking outside. But what if there is a universal “rest frame” (like the old idea of the “ether”)? This experiment tries to find out by looking for tiny, directional differences in how objects move inside a sealed box. 2. How It Works: The Two-Stage Process Imagine a perfectly isolated spacecraft (our lab) moving through space at some unknown speed V...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. The Relativator was sold by (as printed) Atomic Laboratories, Inc. 3086 Claremont Ave, Berkeley 5, California , which seems to be a division of Cenco Instruments (Central Scientific Company)... Source: https://www.physicsforums.com/insights/relativator-circular-slide-rule-simulated-with-desmos/ by @robphy
In Philippe G. Ciarlet's book 'An introduction to differential geometry', He gives the integrability conditions of the differential equations like this: $$ \partial_{i} F_{lj}=L^p_{ij} F_{lp},\,\,\,F_{ij}(x_0)=F^0_{ij}. $$ The integrability conditions for the existence of a global solution ##F_{lj}## is: $$ R^i_{jkl}\equiv\partial_k L^i_{jl}-\partial_l L^i_{jk}+L^h_{jl} L^i_{hk}-L^h_{jk} L^i_{hl}=0 $$ Then from the equation: $$\nabla_b e_a= \Gamma^c_{ab} e_c$$ Using cartesian basis ## e_I...
Back
Top