Fundamentals of Neuromathematics (Neuroscience, Delta Mathematics, Geometrical logic and Neurofantasy)

These are the Fundamentals of Neuromathematics, composed of Neuroscience, Delta Mathematics, Geometrical logic and Neurofantasy. The first section introduces the physiological mechanisms underlying action potentials, ion-channel isoforms, including hyperpolarisation-associated BK and SK channels, and slow persistent sodium currents. These topics are examined in relation to the Riemann hypothesis, with particular attention to the implications of its validity within the proposed theoretical framework. The section also addresses the transfer of three-dimensional maps between cortical areas and the four-beat neuronal firing code through which neurons in the visual cortex assign a chromatic measurement to a specific location within a receptive field. The second module introduces the mathematical framework of Delta Mathematics, encompassing DELTA and DELTA-DOT, REAL DELTA and APPARENT DELTA, together with the corresponding formulae for the classical elements of fire, water, earth and air. It examines several major mathematical and scientific problems, including the Riemann hypothesis, presented within this framework as solved; the squaring of the circle, addressed through two distinct proposed solutions; the P versus NP problem; and the Levinthal paradox. The module further develops a model of the world based on (\sqrt{2}) as its radix. Within this approach, irrational and transcendental numbers are incorporated into a proposed mathematical interpretation of neuroscience and reality. In particular, the concept of irrationality is used to motivate a departure from conventional mathematical assumptions in modelling a world structured around (\sqrt{2}), whereas transcendence is interpreted through the proposed correspondence whereby the square root of (\pi) is transformed into (\pi) itself within this non-standard mathematical system. The third module investigates contradictions arising within logical geometry, examining the relationships between geometrical constructions, mathematical propositions and the underlying principles of logical consistency. The final module explores the concept of Angelic script, the ultimate message attributed to Adam and Eve, the representation of God–spacetime as a 41-digit number, and the origin of the world as an 11-digit number. It also examines a proposed three-dimensional formation of the world derived from a two-dimensional Universe and a two-dimensional DELTA, the latter being conceptualised as a void. These concepts are integrated into a broader theoretical account of the emergence of three-dimensional structure from lower-dimensional mathematical and conceptual foundations. In addition to the theoretical material, the work includes practical exercises involving AI-assisted script development in R and RStudio, together with the visualisation and interpretation of the resulting graphs. These exercises provide an applied computational component through which the proposed mathematical relationships and conceptual models can be explored and represented graphically.