Analogia entis: analogy universlized and formalized rigorously and mathematically in quantum mechanics as the shared base of nature and knowledge

Introduction:

Analogy is often criticized for being unable to distinguish true from false statements for both admit (and are admitted by) analogy. This implies at least two directions for the perfection of analogy. The first one consists in the formally and disjunctively separation of "good analogy" generating only true statements from the "bad analogy" allowing of false propositions. The second one suggests for analogy to be formalized as a way of modal, possible, and probable reasoning.

Furthermore, one can add to the latter direction the ancient and medieval, rather theological idea about the universality of analogy as to the world of both things and statements as analogia entis rather than only a way of cognition or representing knowledge. This implies the intention for the probable reasoning in analogy to be unified with the existence of the things in reality as in analogia entis.

That fundamental problem was resolved in fact by quantum mechanics though its immediate and particular task was how to describe formally and mathematically the unification of continuous (smooth) motion in classical physics with the discrete motion forced for the fundamental Planck constant.

Thesis:

The wave function of any quantum system can be interpreted as its quantitative degree of analogy to any other quantum system therefore realizing analogia entis in a rigorous, formal and mathematical way in a scientific discipline such as quantum mechanics. Furthermore, vice versa: a certain wave function can be ascribed to any analogy thus allowing of its interpretation as that of some possible or existing quantum system. The latter completes analogia entis formally and mathematically for identifying any state "by itself" with some statement in analogy, i.e. with a proposition in our cognition.

Two main arguments for the thesis:

1 Any wave function can be interpreted as a series of qubits (a qubit is defined as usual as the normed superposition of two orthogonal subspaces of the separable complex Hilbert space). Then, each of those two orthogonal spaces can be in turn interpreted as the quality of the same name in two independent (quantum) systems, and the value of the qubit as the quantitative value of similarity (analogy) between the two system as to the quality at issue.

2. Given any analogy decomposed as a “sum” of analogies of the union of all qualities possessed by both systems: then, a value of qubit may be assigned to any particular sub-analogy referring to a single quality

A short comment of the thesis ant arguments:

Their sense is: the thesis and arguments refer only to the interpretation of wave function extending its meaning from the description of any quantum (and thus physical) system to the knowledge of the system by analogy. Thus the knowledge and reality of any system can be identified right in the tradition of analogia entis.

Furthermore, any item is described also as a state of the whole or as the description of its analogy to all other items in the universe. Anyway, analogia entis seems to be a particular case of coincidence, which is complementable by any nonzero difference of a state of the whole and a part of the same whole.

Conclusion:

The world can be represented exhaustedly and quantitatively represented only by means of analogy and the difference between a part and a state of the whole. However, that difference can be represented in turn as an analogy therefore implying the absolute universality of analogy.

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