lamp: narration script

Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01FAqjv3n4yABxvJPJHFRhVA

src/lamp/script.json

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+[
+"Here is the ball from before. Diameter one half, resting on the plane at one half, with its poles over zero and one. The lamp sits at the top, at infinity. Every point on the ball casts a shadow onto the floor, and the shadows are the numbers.",
+"Now move the lamp. Put it at the bottom, at the touch point, one half. And hold the screen above the ball, touching it at the top. The rays go up instead of down. Each pole lands directly above where it landed before: minus a half on one side, plus a half on the other. The frame is the same frame. Only two points have traded places. Infinity is now the centre of the screen. And one half, where the lamp is, is the one point the screen cannot show.",
+"What changed is what counts as near. The circle through zero and one is the one circle both lamps draw in the same place. Inside it, around one half, was a small disc. In the new chart that disc is the whole outside of the picture. And everything that used to be far away, out past the edge, has come home to a small disc around the centre.",
+"Remember the zeros. In the old chart they climbed the critical line forever, toward a lamp that was not a point of the plane. In the new chart that lamp is the centre, and the zeros fall into it. The trivial zeros, at minus two, minus four, and so on, fall in along the real axis, from one side only. The zeros on the critical line fall in along the strut, from both sides. A ray on the real side; a circle on the imaginary side. Nothing runs away any more. It arrives.",
+"The symmetry, s to one minus s, is now a point reflection through the centre: every zero on the strut lands on another. And turning the ball about its vertical strut is just turning this picture. A quarter turn lays the critical line along the real axis. That quarter turn is the Wick rotation. In this chart it is nothing more than turning the page.",
+"Paint xi, the symmetric version of zeta. Along the real axis it grows, like cosh. Along the critical line it shrinks like a bell curve and swings like cosine, with a zero at every swing. Shrinking beats growing inside a cone around the strut; growing wins outside it. Xi draws its own light cone. Inside, a small oscillating thing, with the zeros as its ticks. Outside, it blows up. And the quarter turn swaps inside for outside: cosine for cosh.",
+"So this is the chart centred on the point the plane did not have. Start here, with infinity as the origin, and the zeros come to you. Same ball. Other lamp."
+]