Classical Non-determinism in Relation to Holography, Memory & Realization of Intentional Action in TGD Viewpoint

Abstract

Gary Ehlenberg sent a link to an interesting Quanta Magazine article with the title "'Next-Level' Chaos Traces the True Limit of Predictability". The article discusses the limits to classical predictability as effective non-determinism due to non-computability caused by the initial value sensitivity although the classical dynamics is deterministic. There is also a genuine non-predictability due to non-determinism of quantum theory and quantum statistical determinism makes predictability possible in this case. Holography, which is not discussed in the article, simplifies the situation enormously since roughly one half of boundary values of initial values are reduced. In wave mechanics, holography corresponds to Bohr orbitology. In complex analysis, the holography corresponds to the reduction of the data defining the analytic function reduces to the residues at poles and discontinuities at cuts. In the TGD framework holography boils down to holography = holomorphy principle and allows an interesting point of view to the notion of classical chaos. The extremely nonlinear partial differential equations are reduced to algebraic equations. The case of 2-D minimal surfaces suggests that the holography is not completely deterministic and this forces zero energy ontology (ZEO). The discrete degrees of freedom related to classical non-determinism make conscious memory possible and could relate to the realization of intentions as actions. Number theoretic vision suggests that p-adic and adelic physics serves as correlates for cognition and intentionality and that p-adic non-determinism and classical non-determinisms in the real sector could relate. ZEO suggests a concrete mechanism for how intentions are realized as actions.