Organisation: School of Geofinitism
Last updated: 2026-05-14
Total papers: 11 (0 primary, 11 secondary) | Total essays: 64+ (all primary — this college is canonical for all essays)
This file is the complete content registry for the College of Attralucian Studies. Every document in the college is listed with direct links to all three associated files. Use README.md for mission context, curated reading orders, and key concept tables.
Primary column: ✓ = this college is the canonical source for that content's summary and lesson; — = cross-listed copy (canonical version in another college)
All papers have their canonical summary and lesson in either college-machine-intelligence or college-language-dynamics. Copies here for self-contained navigation.
| ID | Title | Summary | Lesson | Primary | |
|---|---|---|---|---|---|
| P01 | Takens-Based Transformer (TBT / MARINA) | Summary | Lesson | — | |
| P02 | Pairwise Phase Space Embedding in Transformer Architectures | Summary | Lesson | — | |
| P03 | JPEG Compression in LLM Embeddings | Summary | Lesson | — | |
| P04 | The Finite-Symbol Embedding Theorem (Takens-Haylett Theorem) | Summary | Lesson | — | |
| P05 | Language as a Nonlinear Dynamical System | Summary | Lesson | — | |
| P06 | The Measured World: Where Compression Replaces Correspondence | Summary | Lesson | — | |
| P07 | Geofinitism: Decompressing Meaning — When the Reader Becomes the Author | Summary | Lesson | — | |
| P08 | Autoregression Is Not Takens | Summary | Lesson | — | |
| P09 | Static Vector Insufficiency for Natural Language Meaning | Summary | Lesson | — | |
| P10 | From Formula to Process: Bridging ML Mathematics and Nonlinear Dynamics | Summary | Lesson | — | |
| P11 | Takens' Theorem Applies to Discrete Symbol Sequences | Summary | Lesson | — | |
| P12 | Trajectory-Based Computation: Binary Logic, Ket Evolution, and Finite Symbolic Map Engines | Summary | Lesson | — | |
| P13 | On Finite Symbolic Instantiation Drag: Translation, Entropy, Energy, and the Cost of Symbolic Model Formation | Summary | Lesson | — | |
| P14 | Admissibility, Finite Symbols, and the Limits of Measurement | Summary | Lesson | — | |
| P15 | Takens-Based Transformer for Protein Structure Prediction: A Proof-of-Concept Implementation with Open-Source Code | Summary | Lesson | — | |
| P16 | Protein-Ligand Affinity as Multiscale Correspondence: A Takens-Based Programme for Sequence-to-Structure and Affinity Modelling — Part 1 | Summary | Lesson | — | |
| P17 | Protein-Ligand Affinity as Multiscale Correspondence — Part 2: The Construction Signal as a Literal Dynamical Time Series | Summary | Lesson | — | |
| P18 | From Formal Logic to Functional Symbolic Trajectories: Hilbert, Brouwer, Russell, and the Missing Machine of Representation | Summary | Lesson | — | |
| P19 | P vs NP and the Missing Axiom of Finite Measurement: A Geofinitist Stress Test of the Clay Formulation | Summary | Lesson | — | |
| P20 | Takens' Theorem Applies to Discrete Symbol Sequences: A Formal Note on Language as a Dynamical System | Summary | Lesson | — | |
| P21 | Text Within Text: Functional Symbolic Trajectories, Proof, and the Geofinite Stabilisation of Mathematical Language | Summary | Lesson | — | |
| P22 | Efficient AI Embedding Compression Using JPEG: A Novel Approach for Performance and Energy Optimization | Summary | Lesson | — | |
| P23 | The Turing Machine as Finite Symbolic Trajectory: A Geofinite Reinterpretation | Summary | Lesson | ✓ | |
| P24 | The Ruliad, Gödel, Lorenz, and the Missing Self-Model of Language | Summary | Lesson | ✓ |
This college is the canonical home of all Attralucian essays. Summary and lesson files here are the authoritative versions.
| ID | Title | Summary | Lesson | Primary | |
|---|---|---|---|---|---|
| ATT_00 | Introducing Geofinitism: Foundations and Intent | Summary | — | ✓ | |
| ATT_01 | Finite Models of Words: Words as Transducers | Summary | Lesson | ✓ | |
| ATT_02 | Semantic Uncertainty | Summary | Lesson | ✓ | |
| ATT_03 | Tranfictors | Summary | Lesson | ✓ | |
| ATT_04 | Time as Ordered Compression | Summary | Lesson | ✓ | |
| ATT_05 | Fractal Scaling of the Mind | Summary | Lesson | ✓ | |
| ATT_06 | The Geodesic Fractal Model of LLMs | Summary | Lesson | ✓ | |
| ATT_07 | Non-linear Dynamical Systems Fractal Model of Text Assembly | Summary | Lesson | ✓ | |
| ATT_08 | Geofinitism: A Measurement-First Philosophy | Summary | Lesson | ✓ | |
| ATT_09 | The Ket Limit / Finite Quantum Mechanics | Summary | Lesson | ✓ | |
| ATT_10 | The Geometry of Geofinitism | Summary | Lesson | ✓ | |
| ATT_11 | Dissolution and Base Invariance | Summary | Lesson | ✓ | |
| ATT_12 | Alphonic Proofs | Summary | Lesson | ✓ | |
| ATT_13 | The Geometry of Pi | Summary | Lesson | ✓ | |
| ATT_14 | The Geofinite Basis of Mathematics | Summary | Lesson | ✓ | |
| ATT_15 | Dissolving the Fermi Paradox | Summary | Lesson | ✓ | |
| ATT_16 | Is This an Essay? (Meta-Attralucian) | Summary | Lesson | ✓ | |
| ATT_17 | The Riemann Resolution | Summary | Lesson | ✓ | |
| ATT_18 | Division by Zero | Summary | Lesson | ✓ | |
| ATT_19 | Static Embeddings Are Insufficient | Summary | Lesson | ✓ | |
| ATT_21 | The Meaning Divergence Crisis | Summary | Lesson | ✓ | |
| ATT_22 | The Geofinite Kuhnian Conjecture | Summary | Lesson | ✓ | |
| ATT_23 | The Generon: Process, Measurement, and Ontology | Summary | Lesson | ✓ | |
| ATT_24 | Complex Numbers and Dynamical Reconstruction | Summary | Lesson | ✓ | |
| ATT_25 | Complex Analysis and Takens Embedding | Summary | Lesson | ✓ | |
| ATT_26 | Attractor and Choice | Summary | Lesson | ✓ | |
| ATT_27 | Alphonic Logic | Summary | Lesson | ✓ | |
| ATT_28 | Commitment, Consensus, and Admissibility | Summary | Lesson | ✓ | |
| ATT_29 | First-Class Meaning and Hidden Actors | Summary | Lesson | ✓ | |
| ATT_30 | Words as Trajectories | Summary | Lesson | ✓ | |
| ATT_31 | The Generonic Ledger | Summary | Lesson | ✓ | |
| ATT_34 | The Geofinite Tilde | Summary | Lesson | ✓ | |
| ATT_35 | The Generonic Redshift | Summary | Lesson | ✓ | |
| ATT_36 | From Incompleteness to Uncertainty | Summary | Lesson | ✓ | |
| ATT_37 | The Limits on Why | Summary | Lesson | ✓ | |
| ATT_38 | The Generonic Boundary: Distance, Compression, and Finite Symbolic Representation | ATT_138 | P5, P2 (primary), P1, P3, P4 | Stable | 2026-05-28 |
| ATT_39 | P vs NP | Summary | Lesson | ✓ | |
| ATT_40 | The Church-Turing Thesis | Summary | Lesson | ✓ | |
| ATT_41 | Kolmogorov Complexity | Summary | Lesson | ✓ | |
| ATT_42 | Learning and Generalisation | Summary | Lesson | ✓ | |
| ATT_43 | Distributed Consensus | Summary | Lesson | ✓ | |
| ATT_44 | Quantum Decoherence | Summary | Lesson | ✓ | |
| ATT_45 | Russell's Paradox | Summary | Lesson | ✓ | |
| ATT_46 | The Banach-Tarski Paradox | Summary | Lesson | ✓ | |
| ATT_47 | Zeno's Paradoxes | Summary | Lesson | ✓ | |
| ATT_48 | The Liar Paradox | Summary | Lesson | ✓ | |
| ATT_49 | The Five Pillars of Geofinitism | Summary | Lesson | ✓ | |
| ATT_50 | Commitment and Admissibility | Summary | Lesson | ✓ | |
| ATT_51 | On Non-Commutativity | Summary | Lesson | ✓ | |
| ATT_52 | Finite Process Unfolding | Summary | Lesson | ✓ | |
| ATT_53 | Bayesian Inference: A Finite Process Unfolding | Summary | Lesson | ✓ | |
| ATT_54 | Finite Symbolic Mechanics: On Quaternions | Summary | Lesson | ✓ | |
| ATT_55 | Geofinite Time | Summary | Lesson | ✓ | |
| ATT_56 | The Halting Thesis | Summary | Lesson | ✓ | |
| ATT_57 | The Geofinitist Computability Thesis | Summary | Lesson | ✓ | |
| ATT_58 | Quantum Decoherence (II) | Summary | Lesson | ✓ | |
| ATT_59 | The Geofinite Kolmogorov Complexity Thesis | Summary | Lesson | ✓ | |
| ATT_60 | The Geofinite Learning Thesis | Summary | Lesson | ✓ | |
| ATT_61 | The Geofinite Consensus Thesis | Summary | Lesson | ✓ | |
| ATT_62 | The Measurement Constraint Thesis | Summary | Lesson | ✓ | |
| ATT_63 | FSM: Convolution and Overlap | Summary | Lesson | ✓ | |
| ATT_64 | What Is a Number? | Summary | Lesson | ✓ | |
| ATT_65 | Mathematics as a Stabilised Sub-Regime of Language Dynamics | Summary | Lesson | ✓ |
Missing essay slots: ATT_20, ATT_32, ATT_33 — not yet located.
(none yet — pending)
| ATT_66 | On the Finite Sphere: A History of Measurement from Cusa to Nexils | PDF | Summary | Lesson | ✓ | | ATT_67 | From Napier's Bones to Nexils: Logarithms in Finite Symbolic Mechanics | PDF | Summary | Lesson | ✓ | | ATT_68 | Spherical Unity: A Geofinitist Lens | PDF | Summary | Lesson | ✓ | | ATT_69 | FSM: The Foundations of Linear Mathematics | PDF | Summary | Lesson | ✓ | | ATT_70 | On the Circle as Procedure | PDF | Summary | Lesson | ✓ | | ATT_71 | Alphonic Projection Layers: A Geofinite Reframing of the Ket as a Projection Policy | PDF | Summary | Lesson | ✓ | | ATT_72 | A Geofinite Replacement of the Ket and Heaviside Function | PDF | Summary | Lesson | ✓ | | ATT_73 | The Key is the Geometry: A Geofinite Reframing of Cryptographic Mapping and Symbolic Reconstruction | PDF | Summary | Lesson | ✓ | | ATT_74 | The Dynexil: A Geofinite Replacement for the Ket as a Local Dynamical Measurement Descriptor | PDF | Summary | Lesson | ✓ | | ATT_75 | On the Charge-Mass, Interaction Identity and Fine Structure Constant: A Geofinite Reading | PDF | Summary | Lesson | ✓ | | ATT_76 | Semantic Coupling to Observation: Protein Binding, LIGO, and the Conversion of Dynamic Measurement into Fixed Symbols | PDF | Summary | Lesson | ✓ | | ATT_77 | From Generon to Meaning: Compression, Boundary, and the Dynamics of Finite Symbols | PDF | Summary | Lesson | ✓ | | ATT_78 | From External-Basin Physics to Finite Interaction Geometry | PDF | Summary | Lesson | ✓ | | ATT_79 | Commitment, Consensus, and Admissibility: The Grand Corpus, Geofinitism, and the Symbolic Separatrix | PDF | Summary | Lesson | ✓ | | ATT_80 | Semantic Boundary Markers in Geofinitism | PDF | Summary | Lesson | ✓ | | ATT_81 | Introducing the Functional Symbolic Trajectory: Words, Compression, and the Flow of Meaning in Finite Language | ATT_181 | P3, P1 (primary), P2, P5, P4 | Stable | 2026 | ✓ | | ATT_82 | The Safety Layer: Explicit Initialisation of Functional Symbolic Trajectories | PDF | Summary | Lesson | ✓ | | ATT_83 | The Science of Language: From Philosophy to Measurement | PDF | Summary | Lesson | ✓ | | ATT_84 | The Axioms of Measured Extent: Geometry, Symbol, and the Generonic Boundary | PDF | Summary | Lesson | ✓ | | ATT_85 | The Instrument Came First: Port-Royal, Language, Measurement, and the Functional Symbolic Trajectory | PDF | Summary | Lesson | ✓ | | ATT_86 | On Geofinitism | PDF | Summary | Lesson | ✓ |
| ID | Title | Summary | Lesson | Here | |
|---|---|---|---|---|---|
| M01 | Mathematics as Lenses: Geofinitism and the Reconstruction of Discrete Dynamical Structure | Summary | Lesson | ✓ | |
| M02 | The Finite-Symbol Embedding Theorem: Phase Space Reconstruction for Finite Symbolic Dynamical Systems | Summary | Lesson | ✓ | |
| M03 | A Nonlinear Dynamical Reconstruction of the Collatz Process via Delay Embedding | Summary | Lesson | ✓ | |
| M04 | Finite Tractus: The Hidden Geometry of Language and Thought (Part I: Foundations) | Summary | Lesson | ✓ | |
| M05 | The FSM Conjectures: On Real Numbers, Measurement, and the Silent Promotion of Symbolic Games | Summary | Lesson | ✓ | |
| M06 | FSM Information Theory: Symbolic Containment and Functional Trajectories | M06-L | P5, P2 (primary), P1, P3, P4 | Working draft | 2026-05-31 |
| M07 | The Principia Geometrica: Finite Symbolic Mechanics | M07-L | P5, P2, P1 (primary), P3, P4 | Stable | 2026 |
| M08 | The Principia Geometrica: Finite Symbolic Mechanics II — Measured Structures | M08-L | P5, P2, P1 (primary), P3, P4 | Working draft | 2026-05 |
| M09 | Geofinitism: Finite Symbolic Mechanics and the Foundations of Finite Analysis | Lesson | P1, P2, P3, P4, P5 | Working seed | |
| M10 | From Measured Extent to Alphonic Chains: On the Bead-Basis of Geofinite Proof | Lesson | P1, P2, P3, P4, P5 | Working draft | |
| M11 | A Systems and Network-Theoretic Framework for Large Language Models and Compound AI Systems | Lesson | P2, P3, P4 | Working draft | |
| M12 | The Alphonic Foundation of Measured Geometry: A Geofinite Reconstruction of the Point | Lesson | P1, P2, P5 | Draft monograph | |
| M13 | The Transform Is Another Trajectory: Mathematical Inscription, Computational Unfolding, and Geometry in Finite Symbolic Mechanics | Lesson | P3, P2, P4 | Initial status | |
| M14 | On Symbolic Registration: Measurement, Re-registration, and the Generonic Foundations of Language | Lesson | P4, P2, P3 | Full draft |
| ID | Title | Summary | Lesson | Here | |
|---|---|---|---|---|---|
| PE01 | The Finite Practice of Mathematics: Representation, Experimentation, and Iteration | Summary | — | ✓ | |
| PE02 | Geometric Transformers for Physiological Time Series Prediction: A Phase-Space Embedding Approach | [PDF](pensees/PE02_tbt_time_series_ analysis.pdf) | [Summary](pensees/PE02_tbt_time_series_ analysis_summary.md) | — | ✓ |
| PE03 | Symbolic Trajectories and Fractal Geodesics: Toward a Geofinite Metrology of Language | [PDF](pensees/PE03_ geofinite_metrology.pdf) | [Summary](pensees/PE03_ geofinite_metrology_summary.md) | — | ✓ |
| PE04 | Charge-Mass, B, and the Decompression of Electromagnetic Language | Summary | — | ✓ | |
| PE05 | Semantic Handedness and Direction-Bearing Nouns | Summary | — | ✓ | |
| PE06 | π in Finite Symbolic Mechanics: A Constructive Geometric Account from Measured Spherical Packing | Summary | — | ✓ | |
| PE07 | Observer, Moving Measurement Windows, and Symbolic Burst Dynamics | Summary | — | ✓ | |
| PE08 | Measurement-First World Models, Takens-Based Transformers, and Trajectory Computation | Summary | — | ✓ | |
| PE09 | Shannon, the Perfect Edge, and the Hidden Epoch-Based Attractor | Summary | — | ✓ | |
| PE10 | Models, Measurement, and the Language That Holds Them | Summary | — | ✓ | |
| PE11 | Finite Symbolic Extent and the Reappearance of Three | Summary | — | ✓ |
(none yet)
Kevin R. Haylett — School of Geofinitism
Simul Pariter.