- [ One theory ]
- [ Infinite models ]
A new way to conceptualize, map and develop knowledge.
A geometric framework for understanding consciousness, cognition, and the architecture of experience.
[ Main Research Programme ]
The Polynon research programme develops theoretical and computational frameworks for studying consciousness and cognition through geometry and structure.
Consciousness is approached as a structured domain where observation defines how phenomena become accessible to science. Geometry provides the formal language for studying these relations, connecting geometric cognition, cognitive geometry, neurogeometry, and geometric deep learning within a broader framework for research in cognition and foundational science.
[ Cognitive Automaton ]
Explores computational models that treat cognition as a structured system rather than symbolic processing. The programme develops experimental architectures for machines capable of structural reasoning.
[ Cognitive Langlands ]
Investigates correspondences between cognitive structures and mathematical frameworks, drawing inspiration from the Langlands programme to explore deep structural relationships in cognition.
[ Latest research ]
Geometries of Consciousness and Cognitive Experience
A geometric framework for studying consciousness and cognition, centred on the Polynon — a conceptual polytope developed to model how experience is structured and how perception relates to physical reality.
An investigation into gravity as a structuring principle of perception, developed through the lens of geometric cognition. The paper proposes a formal architecture for how attention, memory, and experience organise around stable cognitive structures.
An examination of the structural limits of observation and the conditions under which phenomena become accessible to perception. The paper develops a formal ontology that situates consciousness within a broader framework of systems theory and cognitive geometry.
[ Workspace ]
The Polynon Workspace
Consciousness research remains fragmented across neuroscience, physics, philosophy of mind, and AI. The Polynon programme develops formal frameworks for studying consciousness through geometry, computation, and structural models of observation.
The Early Access provides interested parties entry to the experimental Polynon Workspace, a research environment designed to explore these ideas through interactive models, visual structures, and computational tools, which formalize the framework and investigate its mathematical, computational, and structural implications for the study of cognition and observation.