The Micro-Curvature Law Governing Soai Chain Fragmentation

Einstein showed mass-energy curves space-time: κ = 1/r. The Soai reaction, thefirst chemical chain to amplify chirality like an atomic chain, fragments without agoverning law for 30 years.We establish the governing law as a parallel to space-time:• Origin of Curve: We define ATShif t – Asymmetric Thermal Shift (∆T =Treal − Tsym) as the chiral thermal imbalance generated during autocatalysis.Like mass in Einstein, ATShif t curves space.• Container of Chain: This space is not physical space. It is Temperature-Image space (rTI ), the image dimension of T where the Soai chain travels. Itis parallel to space-time.• Micro-Curvature Law: The curvature of TI space is κmicro = 1/rTI .We solve the long-standing problem: the Soai Fragmentation Chain fragments iffκmicro > 0 due to leak in rTI space, parallel to neutron leak in atomic chain. Whenκmicro = 0, the Zero Deviation Model (ZDM) is achieved and fragmentation isgeometrically forbidden. The chain becomes a true Micro Curvature Chain.