Something Strange Happens When You Follow Einstein's Math

The Nugget

  • Einstein's theory of general relativity predicts that black holes can form from collapsing stars, and that nothing, not even light, can escape from inside a black hole's event horizon.

Make it stick

  • 🪐 Massive objects like stars curve spacetime itself, which is how gravity works in general relativity
  • 🕳️ At the event horizon of a black hole, space flows inward faster than light, so nothing inside can escape
  • 🌀 Rotating black holes are even stranger, possibly containing passages to white holes and other universes (though these are highly speculative)

Key insights

How black holes form according to general relativity

  • In Einstein's theory, gravity is caused by the curvature of spacetime itself around massive objects
  • When a massive star runs out of fuel, it collapses under its own gravity
  • If the star is heavy enough, not even neutron degeneracy pressure can stop the collapse
  • It collapses into a black hole - a region where spacetime curvature is so extreme that not even light can escape from inside the event horizon

Strange properties of black holes

  • To an outside observer, an object falling into a black hole appears to slow down and freeze at the horizon, never quite entering
  • But for the falling object itself, it crosses the horizon without anything unusual happening, then hits the singularity
  • This is due to extreme time dilation near the black hole
  • At the event horizon, space itself falls into the black hole faster than light, so nothing inside can escape

Rotating black holes and speculative consequences

  • Real black holes must be rotating, since the stars they form from are always spinning
  • Rotating black holes are stranger than static ones - they contain inner and outer horizons
  • In theory, it might be possible to avoid the singularity inside a rotating black hole and emerge in a white hole
  • This white hole could lead to other universes in a maximally extended spacetime
  • However, these scenarios are highly speculative and probably unstable in realistic situations

The possibility (or not) of traversable wormholes

  • Wormholes that you could travel through are technically allowed by general relativity
  • But they require "exotic matter" with negative energy density to be stable
  • Such exotic matter probably does not exist, so traversable wormholes are likely impossible

Key quotes

  • "That one body may act upon another at a distance through a vacuum without the mediation of anything else is to me so great an absurdity that I believe no man who has a competent faculty of thinking could ever fall into it." - Isaac Newton
  • "There should be a law of nature to prevent a star from behaving in this absurd way." - Arthur Eddington on black holes
  • "This contraction will continue indefinitely." - Oppenheimer and Snyder on stellar collapse into black holes
This summary contains AI-generated information and may have important inaccuracies or omissions.