Function reference

All functions

Extract.3vel extract.3vel [.vel [ [.3vel [ [.4vel [

Extract or replace parts of three-velocity

Ops.3vel Ops.4vel Ops.gyr Ops massage3 neg3 prod3 add3 dot3 equal3

Arithmetic Ops Group Methods for 3vel objects

as.matrix.3vel as.matrix.4vel

Coerce 3-vectors and 4-vectors to a matrix

boost() rot() is.consistent.boost() is.consistent.boost.galilean() pureboost() orthog() pureboost.galilean() orthog.galilean()

Lorentz transformations

c.3vel c.3cel c.4vel

Combine vectors of three-velocities and four-velocities into a single vector

celerity threecel rapidity celerity.3vel celerity.4vel celerity.default celerity_ur rapidity.3vel rapidity.4vel rapidity.default rapidity_ur as.3cel cel_to_vel vel_to_cel is.3cel

Celerity and rapidity

comm_fail1() comm_fail2() ass_fail() my_seg()

Failure of commutativity and associativity using visual plots

coordnames() flob()

Coordinate names for relativity

cosines()

Direction cosines

Ops.4mom 4mom fourmom as.4mom sum.4mom fourmomentum four-momentum 4momentum 4-momentum vel_to_4mom p_to_4mom as.4mom is.4mom fourmom_mult fourmom_add

Four momentum

as.4vel() is.consistent.4vel() inner4() to3()

Four velocities

galileo galilean Galileo Galilean classical newton Newton newtonian Newtonian

Classical mechanics; Newtonian approximation; infinite speed of light

speed speed.3vel speed.4vel speedsquared gam gam.3vel gam.3cel gam.4vel gam.default gamm1 gamm1.3vel gamm1.4vel gamm1.default gam_ur

Gamma correction

gyr() gyr.a() gyrfun()

Gyr function

lorentz-package lorentz Lorentz gyrogroup

The Lorentz Transform in Relativistic Physics

is.consistent.nullvec() as.photon()

Photons

print.3vel print.3cel print.4vel print.4mom

Print methods for three-velocities and four-velocities

r3vel() r4vel() rboost()

Random relativistic velocities

reflect()

Mirrors

seq.3vel

seq method for three velocities

perfectfluid() dust() photongas() transform_dd() transform_ud() transform_uu() raise() lower()

The energy-momentum tensor

sol() eta() ptm()

Speed of light and Minkowski metric

`3vel`() threevel() as.3vel() is.3vel() length(<vec>) names(<vec>) `names<-`(<vec>)

Three velocities