First and second Laws of Viability Conservation in Ḥəluwnät

This manuscript establishes the First and Second Laws of Viability Conservation within Ḥəluwnät—the architectural science of maintained existence—providing a general theoretical framework for persistence in non-equilibrium systems. The First Law identifies a bounded quasi-invariant, Ω=⟨Viability⟩×(Regulation/Throughput)which constrains the tradeoff between adaptive capacity and regulatory burden under fixed architecture and adiabatic evolution. The Second Law demonstrates that, in the absence of external input or architectural revision, Ω\OmegaΩ decays monotonically, establishing an intrinsic tendency toward architectural exhaustion and collapse. Both laws are derived from three independent theoretical arguments—thermodynamic, information-theoretic, and control-theoretic—each yielding a superlinear regulatory scaling constraint (α>1), indicating architectural necessity rather than domain-specific behavior. The framework classifies four regimes of Ω evolution, specifies falsifiable predictions and collapse precursors, and provides operational measurement protocols validated through simulation. The results are substrate-independent and apply across biological, artificial, organizational, and infrastructural systems. By formalizing viability as a constrained, measurable quantity governed by conservation and decay principles, this work introduces architectural persistence as a fundamental non-equilibrium dimension, complementary to energy and entropy, and provides a unified foundation for analyzing the limits of sustained non-default states.