This results in a relativistically invariant theory in any spacetime dimension.
2.
The direct space time formulations make manifest that the Maxwell equations are relativistically invariant.
3.
For and two simultaneous spatial positions, and this is not a relativistically invariant concept.
4.
Which says that the Klein-Gordon equation describing the propagation of waves, constructed from relativistically invariant objects,
5.
This is done in a relativistically invariant way, so that time and space are treated on equal grounds.
6.
Such a particle cannot have a Green's function which is only nonzero in the future in a relativistically invariant theory.
7.
In any relativistically invariant physical theory, these representations must enter in some fashion; physics itself must be made out of them.
8.
In relativity, the momentum and the energies are the space and time parts of a spacetime vector, the four-momentum, and they are related by the relativistically invariant relation
9.
The square-root of a differential operator can be defined with the help of Fourier-transformations, but due to the asymmetry of space and time derivatives Dirac found it impossible to include external electromagnetic fields in a relativistically invariant way.
10.
The scalar is a Lorentz-invariant operator, and commutes with the four-momentum, and can thus serve as a label for spin, a feature of the spacetime structure of the representation, over and above the relativistically invariant label for the mass of all states in a representation.
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