Smooth Finitely Computable Functions Are Affine, or Why Quantum Systems Cause Wavesстатья
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Дата последнего поиска статьи во внешних источниках: 16 февраля 2016 г.
Аннотация:It is shown that the class of all C^2smooth real functions that can be computed (in a new, but nat
ural sense precisely defined below) on Mealy machines (lettertoletter transducers or, briefly, transducers)
consists of affine functions only. Moreover, it turns out that all these functions can be naturally associated with
wave functions of particles. Accordingly, this work can be regarded as a mathematical reasoning that the wave
properties of quantum systems are caused by the discreteness of matter and causality, since transducers are a
mathematical formalization of the law of causality.