Syntax meets semantics during brain logical computations

A Topological Approach to Infinity in Physics

“…The mapping of real systems' paths to AHS permits us to achieve manageable representations of countless biological trajectories inside peculiar donut-like phase spaces. This allows to simplify the measurement procedures, because paths on toruses have been very well studied in several fields, such as in modular wavelets, admissibility and frame conditions, lifting admissible functions, transformations and dilations, reconstruction formulas, natural tensor products, required Lie groups and extra modular groups (Tozzi et al, 2018;Calixto et al, 2015;Wang et al, 2015). Furthemore, a conceptual leap is provided: in this novel framework, a continuous monodimensional line becomes a collection of countless bidimensional lines that superimpose in quantifiable knots and bifurcations.…”

Towards the Unification of Quantum Dynamics, Relativity and Living Organisms

“…To make an example, the principle of non-locality is homologous with pleiotropy (Torday, 2018c) in the sense that the same gene is expressed in different physiologic traits. For example, epigenetic inheritance is homologous with the Brower fixed-point theorem from algebraic topology, the latter already used in order to describe quantum (Peters and Tozzi 2016) and biological issues (Tozzi et al, 2017;Tozzi et al, 2018). The theorem states, in plain terms, that it does not matter how much you slosh a cup of coffee: you will always find at least one drop of coffee in the same position as before: in biological terms, the unicellular state of the zygote acts as the 'point source' for the offspring (Torday and Miller, 2016a), generating the phenotype, which acts as the 'agent' for obtaining epigenetic 'marks' from the environment (Torday and Miller, 2016b).…”