Our Public Library
The 3 Pilgrim Public Library is an evolving archive of independent research papers and technical notes. Each document reflects a self-contained investigation within mathematics, finance, psychology, or information theory. These works are freely available for review, citation, and academic discussion.
| Title | Category | Description | |
|---|---|---|---|
| The Compute Efficiency Frontier: Why Bigger Models Hit Physical Boundaries | AI Research | Defines six physical and informational walls—Compute, Power, Heat, Data, Parallelism, and Transmission—that constrain AI scaling laws. Explains why Moore’s Law has collapsed and why brute-force expansion now delivers diminishing returns. Includes a visual of the walls converging on the CEF. | Read Online | PDF |
| Semiotic Frustration in Machine Learning v1.0.html | AI Research | Identifies a semiotic conflation in ML discourse where “dimensionality” refers to vector/parameter count rather than true independent axes. Proposes a reductionist taxonomy with vector aggregation and true dimensional expansion primitives to resolve the paradox and unify scaling observations. | Read Online | PDF |
| Toward a Structural Model of Relationship Compatibility | Psychology | Proposes a first-principles, systems-theoretic model of relationship compatibility based on cognitive mode selection (ERM/LRM), constraint topology, and PLR behavioral gradients. Reframing compatibility as structural alignment under shared constraints, the framework explains predictable failure modes and stability conditions for researchers, clinicians, and AI systems. | Read Online | PDF |
| The Half Life of Fiat A Statistical History of Monetary Decay | Economics | Analyzes the historical lifespan of fiat currencies post-decoupling from commodity backing. Across 21 cases spanning eight centuries, identifies a generational half-life (~31 years) before collapse, redenomination, or hyperinflation. | Read Online | PDF |