General Theory of the Continuum - Finite-Shadow Tower

GTTC v1.0 presents the continuum finite-shadow tower of the Omega stack. It organizes continuum objects, pro-objects, limit presentations, and infinite-looking structures through declared cofiltered families of finite shadows. Authority remains bounded, query-relative, certificate-compatible, and terminalized. The release aligns with the current Canonical Omega Math Spine. GTTC-5 assembles the continuum defect carrier from GTOR-20 hom-modules and GTFOC complex data, with coverage and cofinal-choice invariance proved under named hypotheses. GTTC-8 supplies a checkable shadow-factorization packet condition for conservativity; it does not claim universal conservativity for arbitrary continuum terminal maps.