I’ve been lecturing today at Manchester - special relativity - and for no good reason other than I want to post stuff here, here’s my lecture notes introducing the concept of invariant mass :-)
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So, I fed that into ChatGPT and asked it to break it down into layman’s terms, which I’m sure it did, but my head is still aching. You do you, and I’ll just sit down here and nod, smilingly. 🤣😂
My 11 has discovered your ‘solar system’ programme on iPlayer and has absolutely loved it. He’s now impressing his science teacher with everything he has learned from you.
Ahh yes yes I see. Hmm very interesting. I see you’ve used squiggly line, p, broken rectangle theory. Parabola, delta, theta, equal, divide, denominator, math, math- mathy math. science. Indubitably my good sir.
And I love how it gets down to E=mc^2 when the thing isn't moving! Wonder what happens if m<0? Still positive energy (?) but possibly repulsive gravity?
Also note that E =gamma mc^2 would appear to imply that massless particles should have zero energy - BUT for massless particle travelling at c, gamma goes to infinity and so the expression is undefined. Then we have E =pc from the equation in the notes. Nice :-)
Totally irrelevant, but here is thing what bugs me: I can't push myself to believe that time ends in black holes. Maybe I got the idea of black holes bad, but in nature nothing stops. Maybe time just slow down immensely. I mean even particles are moving in absolute zero.
How did you manage that, growing up in an era when you were either clever and got put in the clever group that did maths, or those who they had prematurely decided were only good for handwriting practice.
Stupid question alert. Is the mathematical system we use the most appropriate for calculations like this. You could do maths using roman numerals but that system seems more complicated and less intuitive than the Arabic numerals we use instead. Could another system of mathematics be more suited?
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I think there's an error in line 4
🧐🧐
I will defer to our mutual friend @marvinh2g2.bsky.social
He marvels at my grasp of Maths
😂🤣😂
:-)
I repeat watch 'Black Holes : Heart of Darkness' though. Nothing is certain, thank you 😊🙀
They said that it wouldn’t make any difference, all the problems would appear blue coming towards me & red as they flew over my head.
That’s relatives for you
My 11 has discovered your ‘solar system’ programme on iPlayer and has absolutely loved it. He’s now impressing his science teacher with everything he has learned from you.
Welcome to Bluesky!
How did you manage that, growing up in an era when you were either clever and got put in the clever group that did maths, or those who they had prematurely decided were only good for handwriting practice.
Brilliant you are, wish I understood it.
I can understand some of that
BTW, I have just accurately calculated the exact masses for the electron and muon neutrinos. I figured this out in Beta - decay and muon decay.
Thank you
Is there an easy way to understand it?
Maybe we should look for the point where mass and velocity are equal.
Using a "spit pea' approach where mass suddenly drops while velocity increases in an equal > 1 amount.