Theories Periodic under Operators are as States Amplitudes

In doing technical calculations, we perform transformations and superpositions that lead to large sets of quantum states which we now regard as templates, or candidate models for processes that can always be superimposed at a later stage to describe the phenomena we observe.

Lattice of ratios wave scaling harmonic time constraints as such the circle, largest obtained angle, is beautiful invariance.

A template state can be used to serve as a model of some actually observed phenomenon. It can be any quantum superposition of ontological states. The inner product expressions then represent the probabilities that ontological state is actually realized.

According to the Copenhagen rule #ii, the probability that the template state is found to be equal to the state , is given. However, already at the beginning, we stated that the inner product should not be interpreted this way. Even if their inner product vanishes, template states and may both have a non vanishing coefficient with the same ontological state. This does not mean that we depart from Copenhagen rule #ii, but that the true wave function cannot be just a generic template state; it is always an ontological state.

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