About the work
Strict exact SymPy certificate for the direct rolling pushforward — the
secondary, independent-route confirmation of ρ = 3. The map Φ(w₁,w₂) =
(w̄₁iw₁, w̄₁w₂) is defined and dΦ is differentiated from it (not typed);
the monic gcd of the full 8-component left-annihilator system x·dΦ = 0
forces ρ = 3 as the unique root. At the base point, the left, right and
3-form-contraction kernels are proved equal (M_φ = −B_split·L), with
genuine rank certificates. An explicit GL(7) bridge T (det T = 8)
satisfies T*Ω_W = 2·φ_split and TᵀbW·T = 6·B_split — carrying the
entire split null cone onto the CCFU null cone — with bW derived from
Ω_W in-file (Hitchin density = 24·bW) and the contraction matrices
intertwining: TᵀM_{Ω_W,Tx}T = 2M_{φ,x}. A final ambient polynomial
identity links the map to the Baez–Huerta chart parametrization.
ASSUMED inputs A1–A4 declared upfront; 10 exact certificates backed by
~25 explicit checks that survive python -O; deterministic throughout.
Incorporates the external verifier's strict rewrite (source SHA-256
recorded in-file). Dependencies: Proof 22 (Ω_W canonical
representative).
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Title CCFU Script 7 — verify_direct_rolling_pushforward.py
Strict exact SymPy certificate for the direct rolling pushforward — the
secondary, independent-route confirmation of ρ = 3. The map Φ(w₁,w₂) =
(w̄₁iw₁, w̄₁w₂) is defined and dΦ is differentiated from it (not typed);
the monic gcd of the full 8-component left-annihilator system x·dΦ = 0
forces ρ = 3 as the unique root. At the base point, the left, right and
3-form-contraction kernels are proved equal (M_φ = −B_split·L), with
genuine rank certificates. An explicit GL(7) bridge T (det T = 8)
satisfies T*Ω_W = 2·φ_split and TᵀbW·T = 6·B_split — carrying the
entire split null cone onto the CCFU null cone — with bW derived from
Ω_W in-file (Hitchin density = 24·bW) and the contraction matrices
intertwining: TᵀM_{Ω_W,Tx}T = 2M_{φ,x}. A final ambient polynomial
identity links the map to the Baez–Huerta chart parametrization.
ASSUMED inputs A1–A4 declared upfront; 10 exact certificates backed by
~25 explicit checks that survive python -O; deterministic throughout.
Incorporates the external verifier's strict rewrite (source SHA-256
recorded in-file). Dependencies: Proof 22 (Ω_W canonical
representative).
Work type Script
Tags script, ccfu, captain cookie face
-------------------------
Registry info in Safe Creative
Identifier 2607196433124
Entry date Jul 19, 2026, 1:14 AM UTC
License All rights reserved
-------------------------
Copyright registered declarations
Author 100.00 %. Holder Captain Cookie Face Universe. Date Jul 19, 2026.
Information available at https://www.safecreative.org/work/2607196433124-ccfu-script-7-verify_direct_rolling_pushforward-py
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Registration: 2607196433124
