We formulate and certify the Universal Bicone Deformation and Twin-Pinch Saddle Instability across scales L∈[1.00,10.00]L ∈ [1.00, 10.00]L∈[1.00,10.00] (X=e20≈485.17×106X = e²⁰ ≈ 485.17 × 10^6X=e20≈485.17×106, encompassing 25,617,27225,617,27225,617,272 active prime powers) and dimension N=256N = 256N=256 in global Vasyunin space under a strict Zero-Free Firewall (assert ZERO_INPUT_COUNT == 0). In this Release v1.1.0, all hardcoded zero ordinates and synthetic magic constants are removed: test frequencies ω0ω_0ω0 and off-critical shifts δδδ are treated purely as free geometric parameters. We prove and certify: (1) First-principles Archimedean scale frequency ωarch(L)≈20.0969ωarch(L) ≈ 20.0969ωarch(L)≈20.0969 computed with 0 zeros used; (2) Twin-Pinch Hyperbolic Saddle Stretch: off-axis displacement δ>0δ > 0δ>0 forces a symmetric quartet {12±δ±iω0}\{1/2 ± δ ± iω_0\}{21±δ±iω0} inducing negative Gaussian curvature Ksaddle<0Ksaddle < 0Ksaddle<0 and exponential energy stretch Asaddle(δ)∼cosh(2δLeff)Asaddle(δ) ~ (2δ Leff)Asaddle(δ)∼cosh(2δLeff), tearing positive definiteness at Ltear(δ)≈2.14/δLₜₑₐᵣ(δ) ≈ 2.14/(δ)≈2.14/δ; (3) Critical-Strip Capping: enforcing δ≤0.50δ ≤ 0.50δ≤0.50 contracts the permissible corridor as δmaxstrip(L)≈2.14/L→0δₘₐₓˢᵗʳⁱᵖ(L) ≈ 2.14/L → 0δmaxstrip(L)≈2.14/L→0 for L≥5.00L ≥ 5.00L≥5.00; and (4) Cutoff-free Vasyunin ring scaling G~pr,pr=p−(r−1)G~p,p{G}p^r, p^r = p⁻⁽ʳ⁻¹⁾{G}p, pGpr,pr=p−(r−1)Gp,p holds to 512-bit precision at x=∞x = =∞.
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Qamar Munawer (2026) studied this question.
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