Abstract

Why do we have a continuous conception of the opening of doors? Actually because the rotations around the hinges act as conceptual tools that allow us to “think” of door arrangements as continuously interchangeable states. If our geometrical tooling were reduced to the identity, then our conception of door opening would reduce to the dichotomous alternative closed/non-closed. This example highlights the role of geometry in the conception of physical phenomena. Accordingly, the recently introduced “gauge” geometries result in an original approach to molecular recognition when applied to quantum molecular states. In particular, this theory features a graphical description of molecular recognition between biomolecules. The 2D theory is discussed. The application of 2D gauge geometry to the description of chirality is also briefly presented.

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