Triangles and the Constants: A Relational Derivation

“The only thing that counts in the definition of worlds are the values of the dimensionless constants of Nature.” — M.J. Duff The Challenge Can we explain the fundamental constants of physics using only relational ideas? Not approximate them, not fit them—derive them from the requirement that distinction exists at all? This is the biggest […]

Triangles and Grokking: How Neural Networks Discover Modular Arithmetic

The geometric structure hidden in addition mod p Prerequisites: Key Concepts for Newcomers Before diving in, let’s establish clear definitions for readers unfamiliar with machine learning or modular arithmetic. What is Modular Addition? Modular addition is “clock arithmetic.” When numbers reach a limit, they wrap around to zero. Think of a clock face with 12 […]

Triangles and Symmetry, Superposition, Entanglement, and Consciousness

A Note on What This Is This document is part of a course called “Quantum Mechanics Through Triangles.” What this is: What this is NOT: Taking any framework as absolute truth is an idiot’s view of things. The universe does not care about our frameworks. We use frameworks because they help us think. When they […]

Quantum Mechanics Through Triangles: A Relational Foundations Sequence

Triangles & Everything Else — Physics, Math, Mind & Shit 2026 — Class Begins 01 April Course Synopsis 256 lectures (~400 hours)4 volumes × 64 lectures (Option A — the course is intentionally block-structured and cumulative) Core thesis: the triangle is the minimal closed relational structure. From this primitive we build a unified sequence: geometry […]