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John Rennie
John Rennie
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The four-momentum of a physical system is a conserved quantity in a particular reference frame. But we need a relativistic invariant theory which doesn't depend on the choice of coordinates. The squared four-momentum is indeed an invarianta scalar invariant, i.e., it doesn't depend on any reference frame. Thus a relativistic invariant theory requires a formulation based on invariant quantities.

The four-momentum of a physical system is a conserved quantity in a particular reference frame. But we need a relativistic invariant theory which doesn't depend on the choice of coordinates. The squared four-momentum is indeed an invariant, i.e., it doesn't depend on any reference frame. Thus a relativistic invariant theory requires a formulation based on invariant quantities.

The four-momentum of a physical system is a conserved quantity in a particular reference frame. But we need a relativistic invariant theory which doesn't depend on the choice of coordinates. The squared four-momentum is a scalar invariant, i.e., it doesn't depend on any reference frame. Thus a relativistic invariant theory requires a formulation based on invariant quantities.

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Richard
Richard
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The four-momentum of a physical system is a conserved quantity in a particular reference frame. But we need a relativistic invariant theory which doesn't depend on the choice of coordinates. The squared four-momentum is indeed an invariant, i.e., it doesn't depend on any reference frame. Thus a relativistic invariant theory requires a formulation based on invariant quantities.