๐ง Draft โ not final. This page was auto-generated as day-one scaffolding for the project and still needs a human pass before it reads as finished. The blanks and placeholders below are intentional โ someone who runs this project should fill them in and delete this notice.
Notes โ special relativity
One concept per section, in my own words. The rule of this project: the note isn't done until it can be explained to someone without the diagram in front of me. If a section still needs the formula to make sense, it isn't understood yet.
Spacetime diagrams (the spine)
Space across, time up. A stationary thing traces a vertical line; a moving thing tilts. Light always draws the same 45ยฐ line โ that constancy is the one stubborn fact everything else bends around. (Fill in my own words after the minutephysics course in sources/.)
The two postulates
- The laws of physics are the same for everyone moving steadily.
- The speed of light is the same for everyone โ no matter how fast they move.
The second one sounds harmless and detonates the rest: if light's speed can't change, then time and space must.
The invariant interval (work by hand until it's not a formula)
Different observers disagree about the time between two events, and about the distance โ but they agree on one combination:
sยฒ = (cยทฮt)ยฒ โ (ฮx)ยฒ
- Derive it once from the light-clock picture, no notes
- Check it survives a change of observer (the whole point of "invariant")
Explain-back test: why "invariant" is the word that matters here โ what would break if it weren't.
Next
Time dilation and length contraction as consequences of the interval, not separate rules to memorise. Then the long climb: equivalence principle โ geodesics โ "matter curves spacetime."
Mahanu