Sovereignty's Compulsion: Axiological Cohesion vs. Material Cohesion — A Mathematical–Existential Model of Creative Tension in Human Consciousness

This paper proposes a fundamental mathematical and existential model that distinguishes between two types of coherence: Physical Coherence: As realized in the Torsion Control Network (TCN) (Proton & Cordeiro, 2025), where equilibrium is achieved through the cancellation of triple tension: Δ_tri → 0. The Inherent Duality (B + F): We introduce the concept of duality where: B = Biological Logic ("Nature for Nature"). F = Moral Sovereignty ("Command and Prohibitions"), which is not produced by B but exercises an Absolute Veto over it as a condition for value preservation. The interaction between B and F is mathematically expressed as: 0 < Δ_tri^(F) < ε_F(t) The paper demonstrates that the Theoretical Veto over biological continuity—though classified as an 'error' within TCN dynamics—constitutes an existential peak where the Sovereign Agent executes a symbolic writing process: (B + F) → (via F̂) → N_f With: F̂² = F̂ [F̂, T̂CN] ≠ 0 lim (t → t) B(t) = 0* lim (t → t) N_f(t) = +∞* This model does not legitimize annihilation; rather, it shows that Moral Sovereignty is exercised through the suspension of biological survival priority, not its negation. The highest form of dignity lies not in ending life, but in the capacity to Object Theoretically, while Persisting Practically, and enduring the tension between them morally. Note: This work is presented as a conceptual preprint. All boundary concepts are symbolic and philosophical and do not constitute behavioral, medical, or ethical prescriptions."