These essays explore physics as a structural activity: invariance, constraint, geometry, and the limits of explanation.
They are not tutorials. They are attempts to make the deep shapes visible without lying about the difficulty.
| Title | Theme | Note |
|---|---|---|
| PageRank, Communities, and the Normal Modes of Networks | Spectral methods | PageRank as an eigenmode problem, not an algorithm |
| The Two Entropies | The Early Universe | The distinction between trivial simplicity (ancestry) and highly constrained, improbable simplicity (early universe) |
| Chern–Simons Theory, Explained Without Lying | Topology, gauge theory | What survives when metric structure is stripped away |
| Invariant Selection and the Problem of Novelty | Symmetry, evolution | Why new structure is hard under invariant constraints |
| MARIO AND THE FLAG THAT CHOSE A DIRECTION | Gauge freedom (intuition) | A concrete model of frame choice and redundancy |
| PART II MARIO AND THE VANES THAT FIGHT BACK | Gauge feedback | When local choices resist global coordination |
| Why Physics Keeps Messing With Mario | Pedagogy | Why intuition keeps re-entering formal theory |
| When Intelligence Breaks the Systems It Touches | Control, feedback | Capability as a destabilising force |
| The Hall of Mirrors Problem | Meta-theory | When explanation reproduces itself instead of resolving |
| The Hidden Geom etry of Chess | State spaces | Physics intuition applied to discrete systems |
| The Achilles Limit: When Quantum Feedback Can’t Quite Keep Pace | Quantum dynamics | Where correction lags structure |
| The Flooded Palace: How Ancient Paradoxes Haunt Modern Physics and Why Quantum Computers Reveal Their Architecture] | Computation, paradox | Old limits resurfacing in new machines |
| Quaternions Feel Natural. 3-D Rotation Isn’t. | Geometry | Why SO(3) misleads and quaternions don’t |
| Maxwell’s Equations Feel Inevitable. The Worldview That Produced Them Wasn’t. | Classical field theory | Why inevitability is retrospective, not foundational |
| Plural Forms of Scientific Explanation | Philosophy of physics | Why “the explanation” is often the wrong question |
| The Two Entropies: Why You Don’t Look Like William the Conqueror (and Why the Early Universe Didn’t Either) | Thermodynamics | Mixing, memory, and structural forgetting |
| Why the AGI Architecture Isn’t Discussed Plainly — Even Though the Components Are Everywhere | Systems theory | Architectural constraints hiding in plain sight |
| Why Schrödinger’s Equation Feels Inevitable — But Quantum Mechanics Doesn’t | Quantum Mechanics | On mathematical form, historical accident, and the difference between equations and theories. |
| Coherence Without Leverage – The Optimization Pathology | Modern Mathematics | Why Modern Mathematics Perfects Enclosure Instead of Creating Tools |
| Depth, Diagonalisation, and the Geometry of Real Change | Systems Thinking | Systems differ not by apparent complexity, but by consequence geometry—how actions map to futures. |
| Unresolved Q: A Control-Theoretic Account of “Ache” in Creative AI | AI optimization | Current generative models routinely produce fluent, stylistically correct music and prose that nevertheless feels empty—over-eager, prematurely resolved, or inert |
| Beyond Transformers: Three Ways to Build Global Structure — and How the Field Is Actually Moving Forward | Transformer architecture | Are transformers inevitable, or are we simply stuck |
| The Higgs, the Hierarchy Problem, and the Hall of Mirrors | Higgs and the Standard Model | The Higgs vacuum expectation value does extraordinary work. It sets the masses of the W and Z bosons. It determines the scale of chemistry. |
| From Vanes to Tables | Decoherence | How Decoherence Makes Quantum Geometry Unreadable — and Why Tennis Balls Work |
| The Universe Thinks In Powers Of Ten | DESI | How DESI’s new measurements, dark-matter puzzles, and a forgotten educational film reveal the hidden structure of physics. |
| Next time you are stuck at traffic lights you will think of neutrino beams | Traffic and neutrinos | In neutrino experiments, cosmic rays, radioactive decays, and instrumentation glitches produce “off-pattern” events. |
| Why the Speed of Light Isn’t the Number You Think It Is — and What Happens If You Try to Change It Properly | Speed of light | Why Changing c Alone Doesn’t Change Physics |
| Closure Physics | Internal narratability as a constraint on physical law | Why do the laws of physics look simultaneously rigid and contingent? This paper proposes that much of physical law is neither arbitrary nor metaphysically necessary, but conditionally forced by the requirement that a universe be knowable from within. |