draft project

Getting Relativity

Einstein, intuition first

Genuinely understand special and general relativity โ€” intuition built first, then the math that makes it precise โ€” until spacetime diagrams and curved geometry feel earned rather than memorized.

A copy carries over only the public parts you see here โ€” the owners' private files never leave their own vaults.

๐Ÿšง 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

  1. The laws of physics are the same for everyone moving steadily.
  2. 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 = (cยทฮ”t)ยฒ โˆ’ (ฮ”x)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."