R: The Lorentz Transform in Relativistic Physics

# The Lorentz Transform in Relativistic Physics

## Documentation for package ‘lorentz’ version 1.1-2

- DESCRIPTION file
- User guides, package vignettes and other documentation
- Package README

## Help Pages

A B C D E F G I L M N O P R S T V W misc

lorentz-package | The Lorentz Transform in Relativistic Physics

## -- A --

add3 | Arithmetic Ops Group Methods for 3vel objects
as.3cel | Celerity and rapidity
as.3vel | Three velocities
as.4mom | Four momentum
as.4vel | Four velocities
as.matrix.3vel | Coerce 3-vectors and 4-vectors to a matrix
as.matrix.4vel | Coerce 3-vectors and 4-vectors to a matrix
as.photon | Photons
ass_fail | Failure of commutativity and associativity using visual plots

## -- B --

boost | Lorentz transformations
boostfun | Lorentz transformations

## -- C --

c.3cel | Combine vectors of three-velocities and four-velocities into a single vector
c.3vel | Combine vectors of three-velocities and four-velocities into a single vector
c.4vel | Combine vectors of three-velocities and four-velocities into a single vector
celerity | Celerity and rapidity
celerity.3vel | Celerity and rapidity
celerity.4vel | Celerity and rapidity
celerity.default | Celerity and rapidity
celerity_ur | Celerity and rapidity
cel_to_vel | Celerity and rapidity
classical | Classical mechanics; Newtonian approximation; infinite speed of light
comm_fail | Failure of commutativity and associativity using visual plots
comm_fail1 | Failure of commutativity and associativity using visual plots
comm_fail2 | Failure of commutativity and associativity using visual plots
coordnames | Coordinate names for relativity
cosine | Direction cosines
cosines | Direction cosines

## -- D --

dcosines | Direction cosines
decompose | Lorentz transformations
direction.cosines | Direction cosines
dot3 | Arithmetic Ops Group Methods for 3vel objects
dust | The energy-momentum tensor

## -- E --

energy-momentum | The energy-momentum tensor
energy-momentum-tensor | The energy-momentum tensor
equal3 | Arithmetic Ops Group Methods for 3vel objects
eta | Speed of light and Minkowski metric
Extract.3vel | Extract or replace parts of three-velocity
extract.3vel | Extract or replace parts of three-velocity

## -- F --

flob | Coordinate names for relativity
four-momentum | Four momentum
four-velocity | Four velocities
fourmom | Four momentum
fourmomentum | Four momentum
fourmom_add | Four momentum
fourmom_mult | Four momentum
fourvel | Four velocities
fourvelocity | Four velocities

## -- G --

Galilean | Classical mechanics; Newtonian approximation; infinite speed of light
galilean | Classical mechanics; Newtonian approximation; infinite speed of light
Galileo | Classical mechanics; Newtonian approximation; infinite speed of light
galileo | Classical mechanics; Newtonian approximation; infinite speed of light
gam | Gamma correction
gam.3cel | Gamma correction
gam.3vel | Gamma correction
gam.4vel | Gamma correction
gam.default | Gamma correction
gamm1 | Gamma correction
gamm1.3vel | Gamma correction
gamm1.4vel | Gamma correction
gamm1.default | Gamma correction
gam_ur | Gamma correction
gyr | Gyr function
gyr.a | Gyr function
gyrfun | Gyr function
gyrogroup | The Lorentz Transform in Relativistic Physics

## -- I --

inner product | Four velocities
inner4 | Four velocities
is.3cel | Celerity and rapidity
is.3vel | Three velocities
is.4mom | Four momentum
is.4vel | Four velocities
is.consistent.4vel | Four velocities
is.consistent.boost | Lorentz transformations
is.consistent.boost.galilean | Lorentz transformations
is.consistent.galilean.boost | Lorentz transformations
is.consistent.nullvec | Photons

## -- L --

length.vec | Three velocities
light | Photons
lightspeed | Speed of light and Minkowski metric
Lorentz | The Lorentz Transform in Relativistic Physics
lorentz | The Lorentz Transform in Relativistic Physics
lower | The energy-momentum tensor

## -- M --

massage3 | Arithmetic Ops Group Methods for 3vel objects
minkowski | Speed of light and Minkowski metric
mirror | Mirrors
mirrors | Mirrors
my_seg | Failure of commutativity and associativity using visual plots

## -- N --

names.vec | Three velocities
names<-.vec | Three velocities
neg3 | Arithmetic Ops Group Methods for 3vel objects
Newton | Classical mechanics; Newtonian approximation; infinite speed of light
newton | Classical mechanics; Newtonian approximation; infinite speed of light
Newtonian | Classical mechanics; Newtonian approximation; infinite speed of light
newtonian | Classical mechanics; Newtonian approximation; infinite speed of light
null vector | Photons
nullvec | Photons
nullvector | Photons

## -- O --

Ops | Arithmetic Ops Group Methods for 3vel objects
Ops.3vel | Arithmetic Ops Group Methods for 3vel objects
Ops.4mom | Four momentum
Ops.4vel | Arithmetic Ops Group Methods for 3vel objects
Ops.gyr | Arithmetic Ops Group Methods for 3vel objects
orthog | Lorentz transformations
orthog.galilean | Lorentz transformations

## -- P --

perfectfluid | The energy-momentum tensor
photon | Photons
photongas | The energy-momentum tensor
precession | Lorentz transformations
print.3cel | Print methods for three-velocities and four-velocities
print.3vel | Print methods for three-velocities and four-velocities
print.4mom | Print methods for three-velocities and four-velocities
print.4vel | Print methods for three-velocities and four-velocities
prod3 | Arithmetic Ops Group Methods for 3vel objects
ptm | Speed of light and Minkowski metric
pureboost | Lorentz transformations
pureboost.galilean | Lorentz transformations
p_to_4mom | Four momentum

## -- R --

r3vel | Random relativistic velocities
r4vel | Random relativistic velocities
raise | The energy-momentum tensor
rapidity | Celerity and rapidity
rapidity.3vel | Celerity and rapidity
rapidity.4vel | Celerity and rapidity
rapidity.default | Celerity and rapidity
rapidity_ur | Celerity and rapidity
rboost | Random relativistic velocities
reflect | Mirrors
reflection | Mirrors
rot | Lorentz transformations

## -- S --

seq.3vel | seq method for three velocities
SET | The energy-momentum tensor
sol | Speed of light and Minkowski metric
speed | Gamma correction
speed.3vel | Gamma correction
speed.4vel | Gamma correction
speedsquared | Gamma correction
stress | The energy-momentum tensor
stress-energy | The energy-momentum tensor
stress-energy-tensor | The energy-momentum tensor
sum.4mom | Four momentum

## -- T --

Thomas | Lorentz transformations
thomas | Lorentz transformations
Thomas rotation | Lorentz transformations
three-velocity | Three velocities
threecel | Celerity and rapidity
threevel | Three velocities
threevelocity | Three velocities
to3 | Four velocities
transform | The energy-momentum tensor
transform_dd | The energy-momentum tensor
transform_ud | The energy-momentum tensor
transform_uu | The energy-momentum tensor

## -- V --

vel_to_4mom | Four momentum
vel_to_cel | Celerity and rapidity

## -- W --

Wigner | Lorentz transformations
wigner | Lorentz transformations
Wigner rotation | Lorentz transformations

## -- misc --

3-velocity | Three velocities
3vel | Three velocities
3velocity | Three velocities
4-momentum | Four momentum
4-velocity | Four velocities
4mom | Four momentum
4momentum | Four momentum
4vel | Four velocities
4velocity | Four velocities
[.3vel | Extract or replace parts of three-velocity
[.4vel | Extract or replace parts of three-velocity
[.vel | Extract or replace parts of three-velocity
[<-.3vel | Extract or replace parts of three-velocity
[<-.4vel | Extract or replace parts of three-velocity
[<-.vel | Extract or replace parts of three-velocity