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Animation 31
Three wave-number shells share the same proper-time interval while phase cycles and action accumulates at corresponding rates
symmetry-action-phase-desktop.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.
1920 × 1080 · 42 fps · 24 s · 1008 frames · 12 samples
MP4 SHA-256 dcbd69a9b39fa15cc4b082395a1fb799acc1877360429143fa18c997984a6492
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Chapter context
Section: From Wave Mechanics to Quantum Mechanics. Excerpts are verbatim; line numbers refer to the included chapter markdown.
Caption
No separate caption in the chapter.
Image description
Three wave-number shells share the same proper-time interval while phase cycles and action accumulates at corresponding rates
Before the animation
Chapter lines 1297–1297
The smaller $\hbar$ is, the more phase cycles a given action difference produces. For candidate paths, we use the wave mode appropriate to each segment and add the accumulated phases, following the procedure described earlier. For two candidate paths:
Chapter lines 1299–1301
After the animation
Chapter lines 1307–1307
But this is exactly our condition for the path sum to be dominated by stationary paths. For everyday bodies, $\hbar$ is tiny compared with action differences so that their motion is effectively deterministic. Are we saying that the laws of motion we learn in high school physics are an approximation? Yes, a very good approximation.
Chapter lines 1309–1309
We can now express our $H_3$ commutation relation in units of action:
Generation source
Run render_action_phase_desktop.py --render. It directly encodes landscape frames using the shared state and timing constants from revise_action_phase and drawing primitives from core. The remaining listed modules are transitive imports through revise_action_phase/retitle_live; their portrait packaging and retiming entrypoints are not executed by the desktop build, and no earlier movie is consumed.
Mapping evidence and limits
Exact STEM and output match. Matching validation explicitly identifies shared_state=revise_action_phase.state and records masses 1/2/3 eV, proper-time interval 0..12 fs, 1008 frames at 42 fps, 1920 x 1080, 24 s. It verifies shell/proper-time/phase/action invariants but contains no MP4 hash, so source attribution is not a hash-attested build.
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/ccr2_reels/render_action_phase_desktop.py · GitHub at 974f9de35254
SHA-256 17c442c4f187fa48779bf7e8e7d5df42ca77f25f53062c0e9d82e872a3305130 - scripts/ccr2_reels/revise_action_phase.py · GitHub at 974f9de35254
SHA-256 c771209296928a17809d5f0d9789f0774af363b47949589a1fb0ed694c117664 - scripts/ccr2_reels/core.py · GitHub at 974f9de35254
SHA-256 ea6b4f78ba40628d37cacae2b5cac175cd2442b0afa1d35fabdb4d5081384dd8 - scripts/ccr2_reels/render.py · GitHub at 974f9de35254
SHA-256 a76fb42cc469a255b42a87307dbc5a95e6acc84ac89ea42159599e88afa6e573 - scripts/ccr2_reels/retitle_live.py · GitHub at 974f9de35254
SHA-256 f72b785c1e1d1b84309cbb397267d9dc4586711562c3d1b60e5ce28bc2b4aaf2 - scripts/ccr2_reels/validate_retime.py · GitHub at 974f9de35254
SHA-256 14dbc097067c5ddabf95bddb18cdf402ff9dee5e96a89d201c28825a27a27864 - scripts/ccr2_reels/retime.py · GitHub at 974f9de35254
SHA-256 18e2d96a281771c7ca0219525476a6f2042200e04af074b14326a7ea9619fe42
Existing generator checks (1 reports)
These are existing author-produced generator reports, copied without changes. Their checks were not rerun for this packet and are not independent certification. A report may describe an earlier generation run; inspect its contents before applying its claims to the current movie.
- symmetry-action-phase-desktop-validation.json
SHA-256 a6c7567b764d7ff28dd272c8ee36b54cb8a27866b309f063755d335883456345
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
