The Kepplerian Strategy for the Semantic Filter Bank Construction

Walter Schempp

The two-step nilpotent Lie group G of dimension 3 is called to be the Heisenberg group because G implements, at the Heisenberg Lie algebra level Lie(G), the Heisenberg uncertainty principle of quantum physics. At the level of the irreducible unitary representations of G, the unitary dual of G implements the global emitter-absorber symmetries controlling the emergence of the interference pattern which evolves in the archetypical beam splitter experiment of coherent photonics.

It is shown that the coadjoint orbit geometry of nilpotent harmonic analysis in the vector space dual of Lie(G) implements the Kepplerian strategy for the semantic filter bank construction. Its impact on synthetic aperture radar (SAR) imaging, nuclear magnetic resonance (NMR) imaging of non-invasive clinical diagnostics (MRI), confocal scanning laser microscopy is demonstrated. Therefore it is not small physical size that defines the quantum level. The importance of the semantic filter bank construction for cognitive neuroscience and the philosophy of poststructuralism is also emphasized.