NEUROMATEMATICA/NEUROMATHEMATICS

Abstract Neuromathematics is presented as an interdisciplinary conceptual framework situated at the intersection of neuroscience, Delta Mathematics, Logical Geometry and Neurofantasy. Its purpose is to investigate whether the structures through which the brain represents information may be placed in dialogue with mathematical, geometrical and physical descriptions of reality. Rather than treating these disciplines as isolated domains, the proposed framework considers them as complementary languages through which relationships between information, form, time and consciousness may be explored. A central premise of the work is that information may possess a structural role in the organisation of physical and cognitive phenomena. Within this perspective, geometry is not regarded merely as a descriptive instrument, but as a possible organising principle through which transformations of space, matter and representation may be conceptualised. The text consequently develops a series of speculative correspondences between spacetime, energy, mass, colour and information, proposing that changes in geometrical configuration may provide a language for describing transitions between different states of reality and cognition. The framework further introduces fractal entropy as a conceptual bridge between neuroscience and cosmological structure. Fractals are interpreted as recurrent forms operating across different scales, whilst entropy is associated with the generation of temporal change and movement. In this model, space is described through fractal organisation, whereas time is associated with entropic transformation. The relationship between the two gives rise to a dynamic conception of spacetime in which repetition, regeneration and structural variation become fundamental elements of the proposed mathematical language. The document also explores a fractal expression involving neuronal morphology, thereby establishing an explicit conceptual connection between the geometry of the neuron and broader patterns of spatial organisation. Delta Mathematics and Logical Geometry provide additional formal and symbolic components of the proposed system. Mathematical operations, geometrical figures and transformations are employed not solely for calculation, but also as representations of logical relationships and changes of scale. This approach seeks to investigate whether alternative mathematical structures can offer new perspectives on continuity, symmetry, singularity and transformation. In this sense, the framework remains exploratory: its equations and correspondences are intended to formulate hypotheses and conceptual models rather than to claim an established replacement for conventional mathematical or physical theory. Neurofantasy constitutes the imaginative dimension of Neuromathematics. It provides a space in which scientific concepts may be extended through symbolic and visionary reasoning, allowing abstract relationships to be represented through images, colours and geometrical forms. Imagination is therefore treated as complementary to formal reasoning: a generative instrument capable of suggesting new conceptual architectures that may subsequently be examined through mathematical and scientific methods. Taken together, Neuromathematics proposes a unified language of mind, information and form. Its principal contribution lies in the attempt to establish a dialogue between neuronal organisation, mathematical abstraction, geometrical transformation and speculative models of spacetime and consciousness. The framework therefore offers an interdisciplinary programme for exploring whether cognition and physical reality may share deeper structural principles, while recognising the need for future formalisation, mathematical consistency and empirical investigation. Keywords: Neuromathematics; neuroscience; Delta Mathematics; Logical Geometry; fractal entropy; information; spacetime; consciousness; geometry; interdisciplinary theory.