Module lorentz

Expand description

Lorentz contraction and transformations.

Structs§

FourVector: A four-vector in Minkowski spacetime with signature (+, -, -, -).
LorentzBoost: Lorentz boost parameters.
LorentzContractor: Modifies entity visual scale based on velocity relative to observer. Contracts along the direction of motion by 1/gamma.
LorentzRenderer: Render objects with velocity-dependent squish along motion direction.

boost: General Lorentz boost of a four-vector along an arbitrary velocity direction.
compose_collinear_boosts: Compose two boosts by adding rapidities (for collinear boosts).
contract_length: Length contraction: L = L_0 / gamma.
doppler_factor: Relativistic Doppler factor for radial motion.
four_momentum: Four-momentum from mass and 3-velocity. p^mu = (gammamc, gammamvx, gammamvy, gammamvz)
four_velocity: Four-velocity from 3-velocity.
invariant_mass: Invariant mass from energy and momentum: m^2 = E^2/c^4 - p^2/c^2. Returns the mass (taking sqrt, returns 0 for tachyonic cases).
is_lightlike: Check if a four-vector is lightlike/null (norm_sq ~ 0).
is_spacelike: Check if a four-vector is spacelike (norm_sq < 0).
is_timelike: Check if a four-vector is timelike (norm_sq > 0).
kinetic_energy: Compute the kinetic energy: KE = (gamma - 1) * m * c^2.
lorentz_factor: Compute the Lorentz factor gamma = 1 / sqrt(1 - v^2/c^2). Clamps v to be strictly less than c.
proper_time: Proper time: tau = t / gamma (coordinate time to proper time).
rapidity: Rapidity: phi = atanh(v/c).
relativistic_energy: Relativistic energy: E = gamma * m * c^2.
relativistic_momentum: Relativistic momentum magnitude: p = gamma * m * v.
velocity_addition: Relativistic velocity addition: w = (v1 + v2) / (1 + v1*v2/c^2).
velocity_from_rapidity: Convert between rapidity and velocity.