What is Space of Mental State?

In our ordinary perception, the dynamics of gross objects are modelled using classical and quantum laws. The mathematical descriptors in that model assume ontological equivalence with the the real objects. Thus, the reality is equated with the model. However, the process of perception involves sensory information from the external object getting processed in complicated neural strcuture of brain. However, we do not know how neural representation leads to experience and generation of meaning is not understood.

In "neurogeometry," an interdisciplinary field exploring how our brains process the visual world through geometric structures. Alessandro Sarti and Giovanna Citti, leading figures in this domain, have delved into its principles, revealing the intricate link between brain architecture and perceived geometric forms. Our perceptions, memories, and dreams abound with geometric motifs. Within the neurogeometrical framework, we uncover a profound symbiosis between the brain's neural networks and the pervasive geometric patterns shaping our experiences.

In his book, "The Geometry of Meaning: Semantics Based on Conceptual Spaces," Peter Gärdenfors proposes that our comprehension of the world is organized through conceptual spaces. These spaces offer a geometric framework for our thoughts, enabling us to traverse the intricate landscape of concepts and ideas. The notion of the "geometry of thought," as envisioned by Gärdenfors, represents an exploration into the architecture of human cognition. It ventures into the intricate pathways of the mind, where concepts transcend abstract notions, inhabiting a multi-dimensional space where semantic meaning is conveyed through distances and directions.

Samkhya system emphasises a new type of causality based on the meaning, rather than the physical property as customarily considered in modern science. The ontology it conceives are real, nested and hierarchical. Thus, the abstract space that holds the ontologies is sometimes termed as semantic space or perceptual space. In this nested and hierarchical abstractions of meanings or semantics, the lower levels are built out of higher abstractions. Thus, the study of perception essentially involves all levels of meanings together. Our current attempts involve exploring neural imprints of this semantic causality in case of meditation and mind-wandering.