Symbol X_NW^i
is part of the quantity the equation computes from the expression on the right.
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Why this formula appears here
The first, the covariant centre of energy, transforms simply as the spatial part of a four-vector under a change of Lorentz frame — exactly the property was built with above — but its three spatial components fail to commute with each other once spin is present, by an amount proportional to the spin itself. The second, constructed by Newton and Wigner for exactly this purpose and reproduced in Pryce’s classification as a distinct case, has strictly commuting components, [, ] = 0 , the property any operator called “position” ought to have if it is to support ordinary probability densities and wavefunction localization at all, at the price of…
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Symbol X_NW^j
is part of the quantity the equation computes from the expression on the right.
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Read it with the definitions, units, and assumptions supplied by the article.
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Equation 60 · Evolutionary Physics
The Atlas That Refuses to Close
This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.
The first, the covariant centre of energy, transforms simply as the spatial part of a four-vector under a change of Lorentz frame — exactly the property was built with above — but its three spatial components fail to commute with each other once spin is present, by an amount proportional to the spin itself. The second, constructed by Newton and Wigner for exactly this purpose and reproduced in Pryce’s classification as a distinct case, has strictly commuting components, [, ] = 0 , the property any operator called “position” ought to have if it is to support ordinary probability densities and wavefunction localization at all, at the price of…
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