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And Typing Tutor
Introducing Spherepop, a 3D Programming Language.
Play the Spellpop and Starpop minigames.
Repair Preserve Difference — Project
The History of Machine Learning
Dip of the Horizon — Screenplay
Building Forth from Spherepop Primitives
Selective Continuation — New
A Viability Theory of Fusion Reactors
The Mathematics of Autonomous Systems
Paracosms of the Strange — START HERE
Trigonometry and Transformation
Capacity, Dissipation, and the Onset of Motility-Induced Phase Separation
Restoration Before Explanation
Boundaries Are Computational Objects
The Economics of Irreversibility
From Wave Dynamics to Continuation Dynamics
History-Preserving and History-Erasing Operators
Terminal and Traversal Dependent Texts
The Continuation Geometry of Circuits
Collected Works — Research Program
Procedural Generation of Attention
Intelligence as Perspectival Convergence
The Autonomy of Refusal — New Revision
Process, Distinction, and Reachability — Research Program
Distinction Engine — Audio Overviews
Reality Is What Can Be Reached
Astrophysics After the Uniform Object
Latent Structure — Audio Visualizers
A process-primary framework arguing that many things we treat as fundamental entities are actually stable residues of trajectories moving through spaces of possibility. The central question is shifted from "What exists?" to "What remains reachable, and under what conditions?"
Belief Geometry and Reachability
A synthesis of computational mechanics, predictive inference, and reachability theory, arguing that belief states are coordinates on a manifold of accessible futures and that reasoning is best understood as navigation through that geometry.
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The Secret Lives of Nouns — Graphic Novel
Constraint, Reachability, and Relaxation
Computing as Flow — New Revision
Possibility Space — Audio Overviews
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Why Mathematical Realities Outgrow Their Maps — Audio Overview
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Structure Surviving Transformation — Audio Overviews
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Epistemology Survey Instrument — Audio Overviews
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Topological Persistence — Notes
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Why Brains Navigate Instead of Predict — Audio Overview
Hydra — Hybrid Dynamic Reasoning Architecture
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Architecture of Constraint — Notes
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Semantic Physics — Notes
Constraint Geometry Audioscope — Audio Overviews
- Dynamic Programming from Physics to Consciousness
- Your Body Plays Every Song You Hear
- Intelligence is the Geometry of Constraints
Quadratic Gravity as a Derived Interface Theory
Admissibility Manifolds, Projection Geometry, and the Emergence of Observable Physics
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The Projection Interface — Notes
Foundations of Distinction Geometry — Flyxion Frameworks
The Fate of Distinguishability
Admissibility All the Way Down
Constraint, Continuity, and Cognitive Structure
Beyond Parentheses — Introduction to Spherepop
A Historical Foundation for Dependent Type Theory
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Spherepop Algebra — Computer Science
Accommodation Before Prediction
The Privatization of Competence
The Genius of Silence — Draft
The Managed Self — Draft
Geometry, Cognition, and the Transparency of Computation
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The Geometry of Computation — Notes
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How Nested Bubbles Fix Flat Math — Audio Overview
A cosmology in which matter, galaxies, stars, life, and other complex structures arise as localized distinctions within a continuous physical plenum and persist through ongoing processes of repair and reconstruction. Cosmic evolution is understood as a changing balance between differentiation and smoothing, with entropy corresponding to the progressive loss of recoverable distinctions and usable gradients. As structure is exhausted toward heat death, the theory asks whether the disappearance of scale, records, and other physical differences could make cosmological continuation possible without requiring the universe to repeat its previous history.
Universal Resource and Fabrication Network
Selective Retention and the Geometry of Continuation
Correspondents and Residents — Incomplete
Constraint, Projection, and Reachability
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Constraint Geometry — Notes
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Building the Neocortex Without a Blueprint — Audio Overview
On the Formation of Structural Ideas
- Why Great Ideas Are Mathematically Inevitable — Audio Overview
Trajectory Aware Recursive Tiling with Annotated Noise
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The Mathematics of Pouring New Foundations — Audio Overview
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Baile Excesivo — Music
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Fixing AI Hallucinations – Audio Overview
An exploration of difficulty, abstraction, and intelligence that treats cognition as the continual renegotiation of what remains unresolved, arguing that difficulty is not an intrinsic property of tasks but a relation between agents, tools, prompts, and environments.
The Geometry of Rewiring — Evolutionary Ecology
- Why Efficiency Is a Survival Trap — Audio Overviews
Exaptation Under Delayed Evaluation
Worldline Selection Under Constraint
Worldhood without Functionalism
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The RSVP Plenum — Notes
Scalar Irruption via Entropic Differential
Bootstrapping Utopia — Draft
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What Any Mind Must Preserve — Cognitive Science
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The Suture That Will Not Hold — Critical Theory
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Admissibility Distortion — Mechatronics
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Nine Parsecs — Screenplay
Reachable History — Audio Overviews
Constraint Geometry Across Scales
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Beyond the Flat Shadow — Notes
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Why Flat Metrics Fail Reality — Audio Overview
The Author as Customer: Vanity Publishing and the Structural Inversion of the Press argues that vanity publishing represents a fundamental economic inversion in which creators replace audiences as the primary customers, turning participation itself into the product while shifting risk away from institutions.
Synthetic Reification and Epistemic Constraint Deformation shows that any reconstructive cognitive system governed by coherence rather than provenance will inevitably absorb high-fidelity synthetic content as truth, deforming belief and identity through repeated admissible inputs.
Escape Velocity: Austerity, Field Dynamics, and the Endogenous Regulation of Transformation reframes austerity as a structural mechanism that raises the threshold required for systemic change by jointly constraining resources, fragmenting agency, and compressing the space of reachable alternatives.
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Dark Matter as a Geometric Phase Transition — Audio Overviews
- Space is the Residue of Persistent Structure — Audio Overview
Git - Learn to Reason About History — Forthcoming
The Privatization of Competence
Consistency Constraints and the Geometry of Learned Representations
Contradiction and Continuation
Recursive Containment and Deferred Closure
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Cognitive Topology — Notes
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The Geometry of Nested Mental Bubbles — Audio Overview
The Elements of Computational Worlds
- Building Empires with Simple Logic Gates — Audio Overview
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Spherepop Game Engine — Playable Demo
The Comfort Trap — Audio Overview
Embodied Constraint and Minimal Assembly
Scope as Geometry in Time-Bound Systems
City of Brutes — Screenplay
The Incoherence – Screenplay
Flower Wars – Screenplay
The World Beneath the World — Screenplay
From Preservation to Reachability
- Your Mind as a Dynamic Landscape — Audio Overview
Try my new cryptographic fonts, Clypto, Cheiro, and Logico-Philosophicus
Updated main website, provethatyouarenotarobot.com, and added a Site Map.
Holistic Understanding
Holistic understanding demands that we give the machine everything we have. Filtering or cleaning input data can lead to confusion in real-life scenarios. To enable true understanding, we should avoid heavy-handed heuristic cleanup of the input data.
— 𝘔𝘰𝘯𝘪𝘤𝘢 𝘈𝘯𝘥𝘦𝘳𝘴𝘰𝘯
Read more: The Red Pill of Machine Learning
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Caldera Field Dynamics — Slides
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The Caldera Reactor Thinks with Water — Audio Overview
Geometric Bayesianism with Sparse Heuristics
In biological systems, sparsity emerges as a natural consequence of physiological pressures, including energetic constraints, signal noise, and chemical gradients, obviating the need for explicit computational penalties to enforce minimal network complexity.
Metabolic costs, such as ATP consumption in neural and cellular activity, favor sparse activation patterns, acting as an implicit prior for minimal energy configurations. Environmental noise and signal overlap amplify high-salience, sparsely distributed signals, while thermodynamic gradients drive systems toward low-entropy states.
This Natural Sparsity Principle underpins the efficiency of biological cognition and informs computational models like Geometric Bayesianism with Sparse Heuristics (GBSH), suggesting that sparse proxy navigation can be an emergent property in biomimetic systems, enhancing their adaptability and resilience in noisy, resource-constrained environments.
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