Industrial, Process, Energy, and Sustainable Chemistry in Global Realism: From Molecular Reaction Networks and Multiphase Transport to Safe Circular Manufacturing Systems

This eighth chemistry volume develops a mathematical theory of artificial, controlled chemical systems, from finite molecular reaction networks to reactors, separations, manufacturing plants, energy conversion, process control, safety, and circular production. It is parallel to Volume VII on natural open chemical systems: industrial source terms and resource demands may be exported to the environmental volume, while environmental capacities and fate constraints may return as design boundaries, but neither volume may define the other’s foundational objects. The physical axiom set remains exactly three: finite localized carriers have definite causal histories; the spacetime–vacuum substrate is physical and responsive; and finite sources couple causally, persistently, and with delay to the substrate and environment. Reactors, flowsheets, temperature and concentration fields, probability distributions, cost functions, digital twins, and controllers are derived macroscopic objects or representations rather than new ontology. The enlarged engineering state contains species inventories, thermal and hydrodynamic variables, phase fractions, interfaces, electromagnetic fields, history modes, catalyst and degradation conditions, boundary streams, and control and safety states. Moving-control-volume accounting yields species, mass, element, charge, momentum, energy, entropy, exergy, historical-energy, catalyst-deactivation, emission, and waste balances. Stoichiometric left null spaces generate exact conservation laws, while nonnegative kinetics and inward-pointing boundary fluxes preserve the positive composition cone. Batch, semibatch, continuous stirred-tank, plug-flow, axial-dispersion, nonisothermal, multiphase, porous, and networked reactor equations are derived together with conditions for existence, stability, multiplicity, residence-time behavior, energy consistency, and conservative discretization. The framework subsequently develops transfer processes, separation engineering, catalytic systems, electrochemical and energy chemistry, materials manufacturing, process systems engineering, estimation and control, optimization, scale-up, process safety, and sustainable circular production. Chemical-potential matching, reaction affinity, conservation, entropy production, and exergy destruction provide a common thermodynamic structure. Catalyst deactivation, material aging, fouling, corrosion, and historical response are treated as independent dynamical states rather than absorbed into time-fitted rate constants. Empirical correlations are classified as effective models; measurements enter only through certified observation operators; and historical corrections, optimization results, digital twins, and machine-learning surrogates carry explicit applicability and rejection conditions. Classical chemical-engineering models are recovered through controlled limits. The theory is restricted to peaceful, lawful, preventive, and environmentally responsible industrial use. Keywords **Axiomatic chemistry; industrial chemistry; chemical process engineering; reaction networks; reactor theory; multiphase transport; separation processes; catalysis; process thermodynamics; exergy; electrochemical energy systems; materials manufacturing; process systems engineering; process control; scale-up; process safety; sustainable chemistry; circular manufacturing; historical response; structure-preserving computation.**