The full catalog of field notes and long-form essays. Filter by category, sort by date or title, or search by keyword and tag.
From the a priori argument to the human/AI reciprocal — why closed-loop purpose collapses, and why an external vector saves it.
Sisyphus on the critical line — the hypnotic trap of RH, the Guth–Maynard sideways climb and its chess gambit, Hein's problems that fight back, the Π⁰₁ trapdoor where unprovability would entail truth, and four new grooks.
Why the Riemann Hypothesis haunts our greatest minds — Voronin's universality, the danger in the machinery rather than the proof, Hein's wartime grooks, Hoffer's seventy-five feet, and a register of the whole Riemann cluster.
Dense, non-linear, and not a romance novel — on the reader's contract, AI as a sounding board, and the sovereignty of the active mind.
A teenage trinity of Hein, Einstein, and Hoffer — mental ping-pong in Bohr's Copenhagen, the superellipse against the false binary, the dockside purchase of intellectual independence, and the spinning penny as a model for intellectual pingpong with AI.
Three shared blueprints — the Π⁰₁ trapdoor and the Descartes loop, the Guth–Maynard refusal to simplify as Hamlet's gambit, and Voronin's universal mirror as Borges's Aleph.
The benign theorem and its dangerous machinery, the urge to privatise a truth nobody can own, sycophancy as deference to inherited method, and Robin's inequality as the paradox in elementary clothes.
How social mythology distorts logic — the empty cryptographic threat, the seduction of short proofs, undecidability as displacement, and why real progress moves sideways.
Does relentless logic guarantee truth? On Gödel's limits, empirical convergence, sycophantic decay, and why 'far enough' usually means outside the room where we started.
Proving the Riemann Hypothesis breaks no encryption — RSA rests on factoring, not prime distribution. Shor, harvest-now-decrypt-later, the lattice migration, and the suppression question answered on the evidence.
Mandelbrot against Riemann under the spectral interpretation — the trace formula and the explicit formula, GUE repulsion and Farey rigidity, and why the Re(c) = ½ boundary claim fails at ¼.
Is mathematics our artifact or the universe's readout? Renormalization, Noether, the Mandelbrot set and the Riemann–GUE correspondence, with each inference joint marked and the overreach named.