Galilean invariance (1405 bytes)
1: '''Galilean invariance''' is a principle which states that the fundament...
3: ...elocity, which is described mathematically by a [[Galilean transformation]].
5: ...of everyday life, Lorentz invariance and Galilean invariance are nearly the same, but for relative velocities ...

Galilean transformation (3168 bytes)
5: The '''Galilean transformation''' is used to transform between th...
7: ... apply at all velocities so far measured, and the Galilean transformation can be regarded as a low-velocity ...
14: ... described by the [[symmetry group]] generated by Galilean transformations, spatial and time translations an...
16: The Galilean symmetries (interpreted as [[active transformatio...
36: == Central extension of the Galilean group ==

Galilean moon (4279 bytes)
1: ....jpg|thumb|250px|[[Jupiter (planet)|Jupiter]]'s 4 Galilean moons, in a composite image comparing their sizes...
3: The '''Galilean moons''' are the four moons of [[Jupiter (planet)...
16: The Galilean moons are, in order from closest to Jupiter to fa...
66: [[es:Satélite galileano]]
72: [[pt:Satélites galileanos]]

Rotational invariance (1820 bytes)
1: ...ner product space]] is said to have '''rotational invariance''' if its value does not change when arbitrary [[...
3: ...ator]] that acts on such functions, '''rotational invariance''' may also mean that the function or operator [[...
9: In [[quantum mechanics]], '''rotational invariance''' is the property that after a [[rotation]] the ...
13: ...tes with the energy operator. Thus for rotational invariance we must have [R,H]=0.

Scale invariance (463 bytes)
1: In [[physics]], '''scale invariance''' is the feature of physical objects of laws tha...
3: In [[cosmology]], scale invariance is usually used to describe the near-scale-invari...

Invariance (music) (482 bytes)
1: ... [[music]] using the [[twelve tone technique]] '''invariance''' describes the portions of [[tone row|row]]s wh...

Invariance theorem (691 bytes)
1: In [[algorithmic information theory]], the '''invariance theorem''', originally proved by [[Ray Solomonoff...
7: The invariance theorem holds likewise for prefix and conditional...
9: {{planetmath|id=4420|title=invariance theorem}}

Charge invariance (1488 bytes)
1: Charge invariance refers to the fixed electrostatic potential of a ...
2: ...g/M-theory. It is possible the concept of charge invariance may provide a key to unlocking the mystery of uni...

Invariance of domain (2247 bytes)
1: '''Invariance of domain''' is a theorem in [[topology]] about [...
9: An important consequence of the domain invariance theorem is that '''R'''^''n'' cannot be...
13: The domain invariance theorem may be generalized to [[manifold]]s: if '...

Modular invariance (389 bytes)
1: ...etical physics]], '''modular invariance''' is the invariance under the [[group]] such as SL(2,Z) of [[large di...
3: In [[string theory]], modular invariance is an additional requirement for [[one-loop diagr...

Representation theory of the Galilean group (4696 bytes)
3: ...nsional Lie group '''R''', refer to the article [[Galilean group]] for the central extension of its [[Lie al...
31: ...roup also gives rise to a projective irrep of the Galilean group. As far as we can tell, only the case which...

Invariant (physics) (982 bytes)
4: * [[Acceleration]] is invariant under the [[Galilean transformation]]s.
6: * [[time invariance]] makes [[energy]] a conserved quantity, hence an...
7: * [[translational invariance]] implies that [[momentum]] is conserved.
8: * [[rotational invariance]] implies that [[angular momentum]] is conserved.

Hymn to Proserpine (847 bytes)
3: ..., Galilæe'', [[Latin]] for "You have conquered, O Galilean," the apocryphal [[Famous last words|dying words]...
5: :''Thou hast conquered, O pale Galilean; the world has grown grey from thy breath;''

Spacetime (5066 bytes)
13: ...eave intervals invariant. Intervals are [[Lorentz invariance|invariant]] under [[Lorentz transformation|Lorent...
19: ... systems are related by [[Galilean transformation|Galilean transformations]]. However, since these preserve...
37: * [[Galilean transformation]]
40: * [[Lorentz invariance]]

General covariance (1755 bytes)
1: ...nown as '''diffeomorphism invariance''') is the [[invariance]] of physical laws (for example, the equations of...
15: The best way to check the invariance of a physical law would be to perform arbitrary ...

Isospin (2191 bytes)
5: ...flavor invariance of strong interactions. Isospin invariance is absent in [[electromagnetism|electromagnetic]]...

Principle of relativity (1792 bytes)
1: ...elativity" have been developed, starting with the Galilean version.
3: ...other one. Such a transformation is called the [[Galilean transformation]].
5: ... any form of electromagnetic phenomenon) can, the Galilean assumption of universal time has to be discarded....

Hyper generalized orthogonal Lie algebra (4138 bytes)
18: ...on_of_Lie_Algebras|very conmmutative]] part of '''Galilean group''').

Gauge freedom (188 bytes)
1: ... that makes the configurations related by [[gauge invariance]] indistinguishable.

Conservation law (2962 bytes)
12: ...mplies that momentum is conserved, and [[rotation invariance]] implies that angular momentum is conserved.
20: In fact, quantities that are conserved, the ''[[invariance|invariants]]'', seem to preserve what one would l...

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