Relativistic Invariance

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Relativistic Invariance

 

(or Lorentz invariance), the invariance of natural laws under the Lorentz transformations that follow from the theory of relativity. Relativistic invariance expresses the equivalence of all inertial frames of reference; that is, by virtue of relativistic invariance, the equations describing any physical processes have an identical form in all such systems. Relativistic invariance sets certain limits to the possible relationships between physical quantities and therefore plays a fundamental role in the search for new physical relationships.

References in periodicals archive ?
They conjectured that the laws of physics are invariant under the symmetry group of de Sitter space (maximally symmetric space-time), rather than the Poincare group of special relativity.
The Poincare group "contracts" to the Galilean group for low velocities.
Analogously the de Sitter group "contracts" to the Poincare group for short distance kinematics, when the order of magnitude of all translations are small compared to the de Sitter radius.
Extension of the algebra of Poincare group generators and violation of P invariance.
The 10-parameter Poincare group is the semi-direct product of the 6-parameter Lorentz group with the 4-parameter group of space-time translations.
The 11 papers in this collection review the role of nontrivial symmetries in equilibrium thermodynamics, the Lie derivative of spinor fields, Landen transformation formulas for Jacobi elliptic functions, and the quantum electrodynamics of the Poincare group.
Auyang follows some influential authors in claiming that the Poincare group is needed if one wants to allow for torsion in the spacetime manifold.
The fifth section examines results obtained from Wigner's classification of the irreducible representations of the Poincare group.
The profound significance of Wigner's analysis of the irreducible representations of the Poincare group (see [14]; [15], pp.
A result of this analysis is that a system that is stable for a long enough period of time is a basis for an irreducible representation of the Poincare group (see [15], pp.
Three well known mathematical structures are used here: the variational principle, Wigner's analysis of the irreducible representations of the Poincare group and duality transformations of electromagnetic fields.
It is known that the Poincare group is the Wigner-Inonu group contraction of the de Sitter Group SO(4,1) after taking the throat size r = [infinity].