Class LorentzTransformation

java.lang.Object

org.episteme.natural.physics.relativity.LorentzTransformation

public class LorentzTransformation
extends Object

Lorentz Transformation utilities for Special Relativity.

Handles boosting of spacetime events between inertial reference frames.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Method Summary

Modifier and Type	Method	Description
static Object[]	boost(Real t, Vector<Real> r, Vector<Real> v)	General Lorentz boost for arbitrary velocity vector.
static Vector<Real>	boostX(Real t, Real x, Real v)	Transforms an event (t, x, y, z) from frame S to S' moving with velocity v along x-axis.
static Real	gamma(Real v)	Calculates the Lorentz factor (gamma).

Methods inherited from class Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Details

gamma

public static Real gamma(Real v)

Calculates the Lorentz factor (gamma).

Parameters:

v - velocity magnitude (m/s)

Returns:

gamma = 1 / sqrt(1 - v^2/c^2)

boostX

public static Vector<Real> boostX(Real t,
 Real x,
 Real v)

Transforms an event (t, x, y, z) from frame S to S' moving with velocity v along x-axis.

Parameters:

t - time in S

x - position x in S

v - relative velocity of S' wrt S (along x)

Returns:

new coordinates [t', x'] (y and z are unchanged)

boost

public static Object[] boost(Real t,
 Vector<Real> r,
 Vector<Real> v)

General Lorentz boost for arbitrary velocity vector.

Parameters:

t - time in S

r - position vector in S

v - relative velocity vector of S' wrt S

Returns:

new coordinates [t', r']