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Experiment with GPU Cauchy-field deformation - #49

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isomorphisms wants to merge 59 commits into
mainfrom
cauchy-field
Draft

isomorphisms wants to merge 59 commits into
mainfrom
cauchy-field

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@isomorphisms

@isomorphisms isomorphisms commented Sep 9, 2026

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Experimental branch for the GPU Cauchy-source redesign, now brought forward onto current main (Holomorphic production naming and canonical smooth-orbit behavior).

  • removes the CPU polynomial walk, worker threads, sample-point search, accepted-step state, and coefficient budget
  • supplies elapsed time to the fragment shader
  • evaluates 24 exterior Cauchy sources per fragment
  • reuses the smooth orbital geometry promoted on main for those source trajectories
  • keeps deterministic complex source weights fixed in time so visible evolution comes from source motion rather than rotating residues
  • keeps all Cauchy singularities outside the circumscribed visible region, including the 8% elliptic distortion bound
  • preserves rational zero/pole interaction and canonical Wegert coloring
  • retains the experimental pinch-zoom range 0.132.0
  • builds a sideloadable APK and runs it in the Android emulator
  • uploads the APK, runtime log, and before/after motion screenshots so this branch can be judged from actual execution rather than CI status alone

Mathematical caveat: this is deliberately a visible-region holomorphic/nonzero construction, not a whole-plane entire construction. The off-screen Cauchy sources are genuine poles of q_t; exp(q_t) has essential singularities there. Zoom is also not mathematically passive because the exterior source orbits are defined relative to the current viewport radius.

Draft until the rebuilt APK/runtime evidence has been inspected for motion and zoom behavior.

isomorphisms and others added 29 commits September 8, 2026 23:37
Promote the phone-approved smooth-orbit explorer behavior to the canonical Android implementation and align acceptance with observable runtime behavior.
Merge the experiment with current main while keeping its visible-region-only holomorphic contract. Reuse the canonical smooth orbital geometry for the exterior Cauchy sources, keep residues fixed so motion is geometric, retain the 0.1–32 zoom experiment, and restore APK/emulator evidence.
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