Zero-Sum Multi-Sector Cosmogenesis: A Framework for Sectorization, Gravitational Reheating, and Paired Baryogenesis

This work develops a unified framework for zero-sum multi-sector cosmogenesis, in which the Universe emerges as a superposition of mutually compensating sectors whose vacuum energies, baryon asymmetries, and entropy budgets satisfy a global cancellation condition. The central structural requirement is expressed by the zero-sum constraint ᵢ ᵢ = 0, ᵢ ᵢ = 0, ᵢ Sᵢ = 0, where each sector i possesses its own vacuum energy Λi, baryon asymmetry ηi, and entropy Si. This operator-level condition governs the allowed cosmological histories and ensures that sector formation, reheating, and baryogenesis occur in globally paired configurations. The framework introduces a systematic sectorization scheme based on Hilbert-space factorization and effective superselection, enabling each sector to evolve quasi-independently while remaining globally constrained. Gravitational reheating naturally generates asymmetric thermal histories across sectors, producing temperature ratios, entropy partitions, and baryon–antibaryon pairing without requiring explicit inter-sector interactions. Within this structure, paired baryogenesis arises as a direct consequence of the zero-sum operator constraint rather than from model-dependent microphysics. This approach provides a coherent mechanism for generating multiple cosmological sectors with distinct temperatures, particle abundances, and cosmological roles. It also offers a natural interpretation of dark radiation, dark matter, and hidden-sector cosmology as emergent consequences of sector multiplicity. The resulting phenomenology includes predictions for ΔNeff, gravitational reheating efficiency, and scaling relations between visible and hidden-sector temperatures. Overall, this work establishes a logically closed, operator-level foundation for multi-sector cosmology, unifying sector formation, asymmetric reheating, and paired baryogenesis within a zero-sum cosmogenic structure.