The Geometry of the Amplitude and Phononic Dynamics in Neuronal Microtubules: A Projective Inquiry into the Recitation of the Daimoku

In this work we explore the transduction of mechanical sound energy, generated during the solemn chanting of the Daimoku (Nam-Myoho-Renge-Kyo) within the Liturgy of the Nichiren Shoshu School of Buddhism, into coherent phononic excitations within the cerebral microtubules. By means of an analogical extension of the amplituhedron formalism, we have mapped the nonlinear interactions of the practice-induced phonons onto a projective geometric structure residing in the positive Grassmannian. The results delineate, with quantitative precision, the topological complexity of this polytope, revealing a configuration of dimension 22 in the positive Grassmannian Gr(2,13) which, within the model here proposed, governs the scattering amplitudes in the tubulin lattice. A specific numerical simulation demonstrates that the cyclic variation in cortico-meningeal thickness induced by respiration (from 6.7 to 7.3 mm) yields, according to the model’s assumption, a modulation of the amplituhedron volume amounting to 18.4% at 528 Hz. One is thereby led to contemplate a possible “pumping” mechanism of quantum information that might favour enhanced states of consciousness