Heim Theory - Selector Calculus

Selector calculus is a form of calculus, employed by Burkhard Heim in formulating his theory of physics. The differencing operator is intended to be analogous to taking derivatives of functions.

(which Heim calls Metrondifferential in German) is defined to be the same as in difference operator. The summation operator is intended to be analogous with integration. Instead of using the integral sign, Heim substitutes a bold italicised capital S for the typical integral sign. In this case
S^{n_2}_{n_1} \phi \eth n = S^{n_2}_{n_1} \eth \psi = \sum_{n=n_1}^{n_2} \left ( \psi(n) - \psi(n-1) \right ) = \psi(n_2) - \psi (n_1 - 1).

Note that .

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