A Systemic Convolutional Model of Neuromuscular Power Emergence: Integrating Neural Impulse and Myofibrillar Architecture

This paper proposes a novel bio-mathematical framework, the Armangau Law(𝑃 = 𝛷[ℐ] ⊛ (ℳ ⊗ 𝛺), to transcend the classical force-velocity reductionism in neuromuscular power modeling.Traditional models typically isolate fiber mechanics from systemic regulation.The armangau law integrates the neural impulse (ℐ), the integrated structural Matrix (ℳ), which absorbs typology (𝐾𝑖) and structural stasis (Г𝑖), and the mechanical yield (𝛺) through a systemic convolution (⊛).We demonstrate through theoretical validation that power emergence is not merely a scalar product but a systemic property dependent on the optimization of three distinct physiological blocks: neural bandwidth (𝛹) via maximal isometry, Blood Flow Restriction (BFR) protocols for maturation (𝜇) enhancement, and the preservation of mechanical stiffness (Г) via moderate eccentric loading to minimize (𝛺) structural decay.By establishing a direct link between the convolution (⊛)of the neural signal and the tensorial product (⊗) of muscle geometry, this model provides a diagnostic and predictive matrix for elite performance and injury prevention.The Armangau Law offers a rigorous scientific basis for a new paradigm of individualized, neuro-mechanical training prescription.