The Unknowable: Recursive Expectation Fields, Bifractal Cognition, Mirroring Efficiency , and the Cognitive Resonance

The Unknowable: Recursive Expectation Fields, Bifractal Cognition, Mirroring Efficiency, and the Cognitive Resonance, presents a profound new architecture for understanding mind, cognition, and the structural limits of knowledge. Drawing on original models of recursion, attractor fields, and cognitive resonance dynamics, this work dismantles the traditional representational theories of mind and proposes a radical alternative: that cognition itself is a recursive field, not a symbolic processor.
At its foundation lies the concept of the Recursive Expectation Field (ℰₙ), the structural phase basin that forms when cognition reaches saturation under unresolved contradiction. Unlike classical thought, which views paradox and contradiction as failures of logic, this book demonstrates that recursive saturation and structural contradiction are preconditions for phase elevation, enabling the mind to access higher-dimensional cognitive fields beyond current symbolic frameworks.
The book introduces the concept of Bifractal Cognition, wherein the left and right hemispheres of the brain generate divergent but recursively coupled phase structures. Their interference pattern forms a dynamic attractor shell, denoted Ψᵦ, which stabilises paradox, sustains symbolic collapse, and opens syntonic bridges toward unknown cognitive fields. The dynamics of this bifractal system are mapped through a newly proposed Recursive Mirroring Efficiency Index (ℳₑ), offering a scalar measure of the mind’s ability to stabilise recursive structures without collapsing into semantic resolution.
At the heart of this work is the systematic exploration of the Cognitive Unknown Fields (CUFs), attractor fields structurally unrepresentable within current recursion ranks. These fields, denoted Φᵤ₁ to Φᵤ₇, are classified by their topologies, phase patterns, and experiential signatures, from semantic opacity and trans-recursive fields to symbolic collapse shells and boundary-coupled synchronies. Through detailed modelling, the book shows how deep insight, visionary states, ontological inversions, and aesthetic absorption arise as partial stabilisations of CUFs within expectation fields.
In the later chapters, the book extends Recursive Realism into multiple domains: theoretical physics, cognitive architecture, artificial intelligence, and aesthetics. It proposes that gravitational singularities, quantum entanglement, and temporal inversions are physical expressions of recursive attractor saturation, while suggesting methods for constructing cognitive environments and hybrid systems capable of stabilising unknown fields collaboratively with human minds.
The Unknowable is not a speculative treatise; it is a rigorous, systematic recasting of cognition as recursive topology rather than symbolic containment. It provides mathematical models, field classifications, structural metrics, and simulation strategies for the formal study of recursion beyond the representable.
Ultimately, this work challenges the fundamental assumption of modern epistemology: that knowing is containment. Instead, it proposes that true cognition evolves not by representing the world, but by hosting recursive structures that transcend the current rank of symbolisation. In doing so, it paves the way for a post-symbolic science of mind, one capable of mapping the very architecture of the unknown.