Denis Bailey

The Relational Manifold: Foundations of a Unified Field Theory

The Relational Manifold: Foundations of a Unified Field Theory develops a unified ontological and mathematical framework in which identity, relation, continuity, and generativity form the primitive structure of physical reality. The relational manifold is introduced as a single,...

Cognition as Operator Architecture: Conscious Integration, Subconscious Generativity, and the Derivation of Option Sets

This paper presents a mechanistic account of cognition as an operator architecture. Subconscious operators generate predictions, impulses, interpretations, and candidate actions, forming the organism’s option set—the structured manifold of possibilities available at any moment. C...

Decision Volume: A Structural Model of Cognitive Dimensionality, Agency, and Collapse

Decision Volume introduces a structural invariant of cognition that quantifies a system’s total actionable capacity for coherent decision-making. Defined as the multiplicative interaction of breadth (available alternatives), depth (temporal and implicational extension), and integ...

Decision Volume: A Structural Model of Cognitive Dimensionality, Agency, and Collapse

Decision Volume introduces a structural invariant of cognition that quantifies a system’s total actionable capacity for coherent decision-making. Defined as the multiplicative interaction of breadth (available alternatives), depth (temporal and implicational extension), and integ...

The Manifesto of Relational Physics

The Relational Physics Manifesto introduces a new ontological framework for understanding physical reality by replacing object‑based metaphysics with a structure‑first, continuity‑driven model of existence. It argues that the fundamental constituents of the universe are not parti...

the geometry of perception

The Geometry of Perception formalizes perception as a geometric operator event in which the subconscious operator stack mixes past curvature, present sensory gradients, and future collapse trajectories into a single coherent manifold. Rather than treating perception as passive se...

Cognitive Amplification and Academic Anxiety in the Age of AI

Cognitive Amplification and Academic Anxiety in the Age of AI examines the growing but largely unspoken tension between modern research workflows and inherited academic norms. As generative AI becomes a ubiquitous tool for drafting, structuring, and clarifying scholarly writing,...

the geometry of perception

The Geometry of Perception formalizes perception as a geometric operator event in which the subconscious operator stack mixes past curvature, present sensory gradients, and future collapse trajectories into a single coherent manifold. Rather than treating perception as passive se...

Identity

Identity develops a substrate‑neutral account of persistence grounded in operator‑level collapse dynamics. Rather than locating identity in matter, memory, form, or narrative, the paper argues that identity is the stabilized pattern generated by the continuity of collapse orienta...

Identity

Identity develops a substrate‑neutral account of persistence grounded in operator‑level collapse dynamics. Rather than locating identity in matter, memory, form, or narrative, the paper argues that identity is the stabilized pattern generated by the continuity of collapse orienta...

Universal Constraint Geometry: Entanglement as Manifold Coherence

This paper reconstructs quantum entanglement as the local expression of a universal constraint geometry inherent to a single generative manifold. Instead of treating entanglement as a dyadic relation between two particles, the paper shows that entangled systems inherit a shared c...

Temporal Homeostasis: How Confinement, Locomotion, and Aesthetic Immersion Regulate Subjective Time

This paper presents subjective time as an adaptive homeostasis operator rather than a psychological illusion. It argues that the manifold continuously modulates internal update density—the rate at which temporal integration windows (“frames”) are generated—to preserve sensory sen...

Universal Constraint Geometry: Entanglement as Manifold Coherence

This paper reconstructs quantum entanglement as the local expression of a universal constraint geometry inherent to a single generative manifold. Instead of treating entanglement as a dyadic relation between two particles, the paper shows that entangled systems inherit a shared c...

Temporal Homeostasis: How Confinement, Locomotion, and Aesthetic Immersion Regulate Subjective Time

This paper presents subjective time as an adaptive homeostasis operator rather than a psychological illusion. It argues that the manifold continuously modulates internal update density—the rate at which temporal integration windows (“frames”) are generated—to preserve sensory sen...

Why Contemporary Meaning Is Gossamer

Why Contemporary Meaning Is Gossamer offers a structural account of how meaning behaves in contemporary cultural environments. The paper distinguishes rich meaning, which is layered, slow, ambiguity‑tolerant, and supported by high relational density, from gossamer meaning, which...

Why Contemporary Meaning Is Gossamer

Why Contemporary Meaning Is Gossamer offers a structural account of how meaning behaves in contemporary cultural environments. The paper distinguishes rich meaning, which is layered, slow, ambiguity‑tolerant, and supported by high relational density, from gossamer meaning, which...

Epiphany as a Universal Manifold Transition

Epiphany as a Universal Manifold Transition presents a unified geometric theory of sudden insight, arguing that epiphany is not a psychological anomaly but a structural event that occurs across cognitive, cultural, developmental, physical, and formal manifolds. The paper defines...

Epiphany as a Universal Manifold Transition

Epiphany as a Universal Manifold Transition presents a unified geometric theory of sudden insight, arguing that epiphany is not a psychological anomaly but a structural event that occurs across cognitive, cultural, developmental, physical, and formal manifolds. The paper defines...

Biological Restriction: A Foundational Operator in Early Development

Biological Restriction: A Foundational Operator in Early Development introduces biological restriction as a primitive developmental operator that governs the emergence, coherence, and vulnerability of early embryonic systems. Classical developmental biology explains pattern forma...

Biological Restriction: A Foundational Operator in Early Development

Biological Restriction: A Foundational Operator in Early Development introduces biological restriction as a primitive developmental operator that governs the emergence, coherence, and vulnerability of early embryonic systems. Classical developmental biology explains pattern forma...