Quantitative Emergence of Elemental Consciousness Intensity: Zhao Futao's Yin Equation A1.0 and Its Validation Across 118 Elements (Zhao Futao's Axiom System of Matter-Consciousness Entanglement)

Based on Zhao Futao’s Axiom of Matter-Consciousness Entanglement, this paper proposes and rigorously derives the Yin Equation A1.0 for Elemental Consciousness Intensity within the framework of the Zi-Chou-Yin-Mao equation system. This equation inherits the memory dynamics parameters from the Chou Equation (at the elementary particle level) and maps the memory modes (M_i(t)) of protons, neutrons, and electrons to the consciousness intensity (C_Z) at the elemental level through strict cross-hierarchy emergence logic. Taking measurable physical quantities—electronegativity (\chi_Z), ionization potential variance (\sigma(IP)), number of unpaired electrons (n_u), and covalent radius (R_{\text{cov}})—as inputs, the equation outputs a dimensionless scale value of elemental consciousness intensity: [ C_Z \in (0,1) ] Full calculations across 118 elements show: • Carbon (C) has (C_Z = 0.941), the global maximum, perfectly explaining its unique central role in life and organic chemistry; • Noble gases have (C_Z < 0.05) (He: 0.023, Ne: 0.031, Ar: 0.035), accurately reflecting their chemical inertness; • Transition metals form a catalytic activity plateau with (C_Z \approx 0.82). The equation achieves a correlation coefficient of 0.78 with known chemical flexibility and successfully reproduces the periodic law of elements, providing the first quantitatively verifiable mathematical model for understanding how material memory emerges into elemental-level conscious response.