Class ConservationLaws

java.lang.Object

org.episteme.natural.physics.ConservationLaws

public class ConservationLaws
extends Object

Conservation laws - fundamental principles governing all physical systems.

Based on Noether's theorem: every continuous symmetry corresponds to a conservation law.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
ConservationLaws()

Method Summary

Modifier and Type	Method	Description
static boolean	checkAngularMomentumConservation(Real initialL, Real finalL, Real tolerance)	Conservation of angular momentum in closed system.
static boolean	checkChargeConservation(Real initialCharge, Real finalCharge, Real tolerance)	Conservation of electric charge.
static boolean	checkEnergyConservation(Real initialEnergy, Real finalEnergy, Real tolerance)	Conservation of energy in closed system.
static boolean	checkMomentumConservation(Real[] initialMomentum, Real[] finalMomentum, Real tolerance)	Conservation of linear momentum in closed system. p_initial = p_final (vector sum)
static Real	coefficientOfRestitution(Real v1, Real v2, Real v1Prime, Real v2Prime)	Coefficient of restitution: e = (v2' - v1')/(v1 - v2) e = 1: elastic, e = 0: perfectly inelastic
static Real[]	elasticCollision1D(Real m1, Real v1, Real m2, Real v2)	Conservation in elastic collision (1D).
static Real	impulseMomentumTheorem(Real initialP, Real finalP)	Impulse-momentum theorem: J = Δp Impulse equals change in momentum
static Real	totalMassEnergy(Real momentum, Real restMass, Real c)	Conservation of mass-energy (relativistic).
static Real	workEnergyTheorem(Real initialKE, Real finalKE)	Work-energy theorem: W = ΔKE Work done equals change in kinetic energy

Methods inherited from class Object

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

Constructor Details

ConservationLaws

public ConservationLaws()

Method Details

checkEnergyConservation

public static boolean checkEnergyConservation(Real initialEnergy,
 Real finalEnergy,
 Real tolerance)

Conservation of energy in closed system. E_initial = E_final

checkMomentumConservation

public static boolean checkMomentumConservation(Real[] initialMomentum,
 Real[] finalMomentum,
 Real tolerance)

Conservation of linear momentum in closed system. p_initial = p_final (vector sum)

checkAngularMomentumConservation

public static boolean checkAngularMomentumConservation(Real initialL,
 Real finalL,
 Real tolerance)

Conservation of angular momentum in closed system. L_initial = L_final

checkChargeConservation

public static boolean checkChargeConservation(Real initialCharge,
 Real finalCharge,
 Real tolerance)

Conservation of electric charge. Q_total = constant

totalMassEnergy

public static Real totalMassEnergy(Real momentum,
 Real restMass,
 Real c)

Conservation of mass-energy (relativistic). E² = (pc)² + (m₀c²)² Total mass-energy is conserved in all reference frames.

workEnergyTheorem

public static Real workEnergyTheorem(Real initialKE,
 Real finalKE)

Work-energy theorem: W = ΔKE Work done equals change in kinetic energy

impulseMomentumTheorem

public static Real impulseMomentumTheorem(Real initialP,
 Real finalP)

Impulse-momentum theorem: J = Δp Impulse equals change in momentum

elasticCollision1D

public static Real[] elasticCollision1D(Real m1,
 Real v1,
 Real m2,
 Real v2)

Conservation in elastic collision (1D). Returns final velocities [v1', v2']

coefficientOfRestitution

public static Real coefficientOfRestitution(Real v1,
 Real v2,
 Real v1Prime,
 Real v2Prime)

Coefficient of restitution: e = (v2' - v1')/(v1 - v2) e = 1: elastic, e = 0: perfectly inelastic