Relativity Visualization: Aging Twin Paradox - Adam Toons

  • Thread starter Thread starter A.T.
  • Start date Start date
A.T.
Science Advisor
Messages
12,918
Reaction score
3,964
Hi everybody,

I've made another relativity visualization. This time it's about the aging twins, since this is one of the most frequent newbie questions:

http://www.adamtoons.de/physics/twins.swf
(needs flash plugin: http://www.adobe.com/products/flashplayer/)

Besides the common Minkowski diagram it features an Epstein diagram with proper time as the temporal dimension. In that diagram you can directly see the current age difference between the twins. What is also visualized is how the twins see each other during their separation due to signal delay. The paths of the light signals between can also be displayed in both space time diagrams. The inertial frame of reference of the observer can be chosen arbitrary, or set to one of the three interesting cases:
- twin A (stays at home)
- twin B (leaves earth)
- twin B (returns to earth)

Comments and ideas are welcome.
 
Physics news on Phys.org
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