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 |