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Animation 22
Trade-off in uncertainty of position and wave number
symmetry-xk-squared-magnitudes.mp4
These are sparse samples decoded from the current MP4, not newly rendered illustrations. They can support checks of the sampled states and labels, but cannot establish continuous motion, timing, transitions, or the absence of problems between samples. Use the full MP4 when judging those properties.
1280 × 720 · 24 fps · 12 s · 288 frames · 12 samples
MP4 SHA-256 889f48b662914160814cd9c0c37c79c5a10525ecab89235e202f93c4d21563be
Frame manifest · Context markdown · Download complete review packet
Chapter context
Section: Position / Wave Number Uncertainty. Excerpts are verbatim; line numbers refer to the included chapter markdown.
Caption
Trade-off in uncertainty of position and wave number
Image description
The squared magnitudes trade position and wave-number widths
Before the animation
Chapter lines 1057–1059
Chapter lines 1060–1060
This derivation is rather involved, but we can get a feel for the result by plotting the squared magnitude of a wave function and labelling the standard deviation.
After the animation
Generation source
Run the main script without arguments. It draws squared-magnitude frames and uses the imported uncertainty-extremes module for parameters, geometry, fonts, and helpers. It encodes a temporary MP4, replaces the canonical file, then decodes all frames and checks dimensions/fps/count. No earlier movie is consumed.
Mapping evidence and limits
The main script's NAME and render() destination match the linked movie; imported constants specify 1280 x 720, 24 fps, 12 s (288 frames). No matching validation JSON is present; the generator prints its decoded-video verification rather than saving a report. Attribution is by source/output name and pipeline, not a recorded movie hash.
Source SHA-256 values identify the exact downloadable bytes in this packet. The source mapping and recorded checks explain the likely generation pipeline; they do not prove that these exact source bytes produced the movie. A GitHub link pinned to a commit is provided only when the delivered source bytes exactly match that path at the build's Git HEAD.
- scripts/generate_symmetry_xk_squared_magnitudes_animation.py · GitHub at 974f9de35254
SHA-256 6ce05c5954a5de3106b1500c742b9bf6153fe826ab0801247f4f30780523ff9f - scripts/generate_symmetry_xk_uncertainty_extremes_animation.py · GitHub at 974f9de35254
SHA-256 f6653171c7475bd8be34aa4f79b859e9bac6da7c5051aa3a8ef0738c88b6428d
Decoded contact sheet
Extraction method: Twelve evenly spaced decoded frame indices, including first and last. Native-resolution JPEGs from the encoded MP4; timestamps read from FFmpeg showinfo. No source rerendering. Frame indices are zero-based. Sparse samples do not establish continuous motion or capture every transition.. Frame indices are zero-based.
Full-size sampled frames
