Module spacetime 

Spacetime diagrams: Minkowski, Penrose, worldlines, causal structure.

Structs

MinkowskiDiagram

Minkowski diagram containing events and worldlines.

PenroseDiagram

Penrose diagram: conformal compactification of spacetime.

SpacetimeEvent

An event in spacetime.

SpacetimeRenderer

Spacetime renderer for Minkowski diagrams.

Worldline

A worldline: a sequence of spacetime events.

Functions

boost_diagram

Lorentz-transform all events in a diagram.

causal_structure

Compute the causal structure matrix. Returns a matrix where entry [i][j] is true if event i can causally influence event j.

invariant_interval

Compute the invariant interval between two events.

is_lightlike

Check if two events are lightlike (null) separated (ds^2 ~ 0).

is_spacelike

Check if two events are spacelike separated (ds^2 < 0).

is_timelike

Check if two events are timelike separated (ds^2 > 0).

light_cone

Compute the light cone from an event. Returns (future_cone, past_cone) as line segments in (x, t) space.

light_cone_grid

Generate a grid of light cones for visualization.

penrose_transform

Transform Minkowski coordinates (t, r) to Penrose coordinates. Uses the conformal compactification: T = arctan(t + r) + arctan(t - r) X = arctan(t + r) - arctan(t - r)

proper_time_along_worldline

Compute proper time along a worldline. tau = integral of sqrt(c^2 dt^2 - dx^2) / c.