Socria · Logos · working surfaces

Every control moves the physics

Not one number on these is typed in. The light rays are integrated null geodesics; the disc takes its colour from its own temperature, Doppler factor and redshift; the universe’s history comes out of the Friedmann equation; and the three-body orbits are stepped forward because no formula produces them. Drag to turn, scroll to zoom, drag the bar under each to make it taller.

Black hole · Kerr geometry

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Every control moves the physics. The rays are integrated geodesics, not drawn curves — below bᶜ one cannot get out, and at a = 0 that is 2.60 r, not the photon orbit at 1.5.

The Big Bang · a thermal history

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Quarks and gluons are free. This state has been made in a collider. The universe is still opaque: light cannot cross it, which is why nothing can be seen from before last scattering at z = 1092.

Gravity · N bodies, integrated

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Three equal masses on a figure of eight — a real solution of the three-body problem, found in 2000. There is no formula that produces this; it is here because it is being integrated.