Requirement theory: gravity, quantum theory, cosmology and content as readings of one condition on the whole universe

In the theory's own terms. This paper asks what condition the universe satisfies as a whole, not what it is made of. The whole is the completion of every finite description, and one requirement fixes its state: its largest local density is made as small as any state allows, each position's condition carrying a price. Closure holds at two levels: the whole has no outside, and every description closes on its own readings. Read by a part against its clock, the requirement is time and geometry; read by any description, it is quantum structure; read at the coarsest grain, it is one history between two de Sitter phases. Now is each description's record frontier, and time and handedness belong to parts, not to the whole. Content is filed rather than selected, but it must be balanced and must make gravity attract. Two things lie outside the theory: the content and the realized history. In the terms of physics. The universe's state is the saddle point of the Hamiltonian constraint held in expectation below one common level, with the lapse as its Lagrange multiplier, fixed by complementary slackness, and the regulator the generator's own spectral cutoff. Read by an observer with a clock, this is Einstein's equation in unimodular form: Newton's constant induced by the content's net species count, gravitational waves at c, a vacuum that does not gravitate, and Λ a positive constant of integration. From one derived principle follow complex quantum theory, unitary dynamics conditioned on clocks, records without collapse, the Born rule, and a relational semiclassical source under which unrecorded superpositions do not become entangled through gravity. The coarse cosmology runs between two de Sitter phases, dark matter is content, and dark energy is never phantom. Content must carry its gauge fields, cancel its anomalies, have charges in thirds and at least three generations. Four predictions are registered here. Status. This document discloses requirement theory and states its results without their proofs. Premises appear as admissions (C13), results as the numbered claims C1–C104, predictions as P1–P4, prohibitions as F1–F13 and open steps as the program O1–O10. Derivations, formal verification and computations for every claim are in preparation for release, and later versions of this record will carry them. The numbers reported with the claims are computational witnesses, produced by finite computations of the theory's own equations, not physical measurements (Appendix C). Each claim carries its standing in brackets: premise, admitted and listed in C13; definition, fixing the theory's object or terms; derived, following from the premises by an argument complete at the level stated; derived in form, an argument complete in structure with one step carried by a named condition or a proof in preparation; measured, shown by computation, with its witnesses in Appendix C; consumed, a published result used as stated and cited. The claims are numbered for citation, and the predictions in §14 are registered by this document's date.