A Source-to-Readout Architecture for a Theory of Everything: Sector Physics as Coupled Projections from a Common Realization Carrier

Shadow Theory is a source-to-readout framework for a Theory of Everything based on reflective mathematics and reflective physics. Its central proposal is that familiar mathematical physics describes a physically real but non-source-level readout of reality: quantum theory, fields, spacetime, gravitation, matter, cosmology, temporal order and observer structure are treated as mutually constrained projections supported by a common underlying realization carrier. This monograph establishes the complete architectural foundation of that programme. It defines the source-closure substrate, admissibility conditions, realization process, raw physical construction, physical compatibility tests and coupled Tier-1 readout. It then develops explicit mathematical objects, equations, maps and interfaces spanning quantum mechanics, relativistic quantum field theory, measurement and contextual outcome selection, objective records, pregeometry, emergent spacetime, gravitational dynamics, quantum-gravity interfaces, gauge matter, the Standard Model, flavour and neutrino structure, parameter evolution, cosmology, dark matter, dark energy, vacuum response, the arrow of time and structural observer readout. Rather than attempting to compress every domain-specific proof into a single volume, the monograph fixes the shared architecture from which those deeper proofs and calculations can be developed without repeatedly redesigning the theory. It supplies sector equations, compatibility conditions, correspondence limits, failure conditions, observable routes and explicit distinctions between source-derived, theoretically constrained and empirically calibrated quantities. A complete source-to-weak-lensing route demonstrates how the architecture connects its foundational construction to a conventional observable. The final part organizes the remaining existence, uniqueness, selection, reconstruction and global-compatibility work into nine companion theorem programmes. These include minimal source closure, source-to-Tier-1 realization, objective-record metric reconstruction and gravity, Standard Model selection, parameter fixation, cosmology and dark-sector dynamics, contextual single-record quantum selection, structural observer readout and integrated cross-sector compatibility. The result is both a foundational monograph and a reusable research architecture. It is designed to support physicists, mathematicians and advanced AI systems in developing companion proofs, model realizations, numerical calculations, empirical tests and domain-specific extensions from one consistent source-to-readout framework. The work clearly distinguishes the architecture already constructed from the deeper theorem proofs and numerical predictions that remain to be completed.