$$p_x=p_y$$

Equation 28 · Evolutionary Physics

No Particle Without a Cosigner

This equation states an equality: the expressions on both sides have the same value under the article’s assumptions.

This is the object this article is actually about, so its bookkeeping has to be stated in full before any number is produced. $D_{\rm det}$ is a map from pairs of “treaty configurations” — worldline, field state, coupling type, and the gap/switching pair used to build the spectrum — to the real interval [0,1] ; it carries no physical units, because it is built entirely from normalized probability densities over $\Omega$ , whose own units of inverse time cancel between numerator and denominator of every term in the integral. It inherits, rather than assumes, the property of being a genuine metric — non-negative, symmetric, zero exactly when $p_x$=$p_y$ almost everywhere, and satisfying the triangle…

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