Of all the youtube videos on the subject this is the best.
In a nutshell: I’ll go into more depth, there will be no video, and I’ll focus on world lines, Minkowski style.
Slightly less nutty: While those videos are easy snapping, I don’t think they actually do the topic any sort of justice. Actually the minute physics one is good, notice its use of world lines :D. It also passingly mentions invariance of distance in Euclidian space.
Right now my outline is roughly
How to interpret world lines. c=1 and time in meters or distance in seconds. Inertial frames and what those look like on spacetime plots.
Why speed of light is constant (Maxwell, experiment) and classical paradoxes that everyone learns to reason about by thinking about fast trains. Instead of vague thoughts about fast trains, we’ll look at spacetime diagrams where it is visually obvious that classical mechanics is wrong.
Lorentz transform from a spacetime perspective. Looking at a spacetime diagram all the seemingly disconnected consequences of SR, e.g. time dilation, length contraction, simultaneousstuff, are visually obvious and clearly caused by one thing: the lorentz transformation. Light cones.
Invariance of the interval, a little hyperbolic geometry, and then kapow: we can see how relativistic space travel works. We can see that cause and effect is enforced in this theory. I’ll mention the energy-momentum 4-vector because I think it’s interesting but it has less philosophical weight than the lorentz transform.
I’m expecting ~30 mins of reader time to learn and understand the material. There won’t be difficult math, although I will mention some hyperbolic stuff. I have another reason for wanting to do this, which is that I want people to understand world lines. They’re very useful for metaphysics discussions.
Of all the youtube videos on the subject this is the best.
In a nutshell: I’ll go into more depth, there will be no video, and I’ll focus on world lines, Minkowski style. Slightly less nutty: While those videos are easy snapping, I don’t think they actually do the topic any sort of justice. Actually the minute physics one is good, notice its use of world lines :D. It also passingly mentions invariance of distance in Euclidian space.
Right now my outline is roughly
How to interpret world lines. c=1 and time in meters or distance in seconds. Inertial frames and what those look like on spacetime plots.
Why speed of light is constant (Maxwell, experiment) and classical paradoxes that everyone learns to reason about by thinking about fast trains. Instead of vague thoughts about fast trains, we’ll look at spacetime diagrams where it is visually obvious that classical mechanics is wrong.
Lorentz transform from a spacetime perspective. Looking at a spacetime diagram all the seemingly disconnected consequences of SR, e.g. time dilation, length contraction, simultaneousstuff, are visually obvious and clearly caused by one thing: the lorentz transformation. Light cones.
Invariance of the interval, a little hyperbolic geometry, and then kapow: we can see how relativistic space travel works. We can see that cause and effect is enforced in this theory. I’ll mention the energy-momentum 4-vector because I think it’s interesting but it has less philosophical weight than the lorentz transform.
I’m expecting ~30 mins of reader time to learn and understand the material. There won’t be difficult math, although I will mention some hyperbolic stuff. I have another reason for wanting to do this, which is that I want people to understand world lines. They’re very useful for metaphysics discussions.