Mass in Einstein's E = mc2 Equation as a Surface Resonance Functional of the Universal Structural Code: an Informational Component of Mass–Energy Equivalence in the PJM–GTSFC–USC–GTCU Framework

The published package consists of the main article BK-18 and the technical annex BK-18A, forming a coherent module of the PJM–GTSFC–USC–GTCU research programme. The main article presents an effective formalism in which the mass parameter appearing in Einstein’s equation E=mc2E=mc²E=mc2 is not treated as a primitive structureless scalar, but as a limiting readout of a surface resonance functional of the Universal Structural Code. The technical annex develops the associated layer of equations, working calibrations, numerical demonstrators, predictions, and PASS/FAIL criteria. The main article defines the physical and mathematical meaning of the hypothesis, while the annex organizes its computational and predictive apparatus. The central idea of the main article is to interpret rest mass as a low-energy observable associated with the stabilization of a resonant configuration of the Universal Structural Code in the active Metafield. A surface functional of informational mass is introduced on the resonance sphere SR2SR²SR2, dimensional consistency conditions are specified, and the classical relation E=mc2E=mc²E=mc2 is recovered as the scalar limit of the formalism when chirality, torsion, and gradients of the Metafield density are negligible. The work does not reject the Standard Model or General Relativity. Instead, it proposes an additional effective descriptive layer in which the mass parameter may be treated as the result of resonant, geometrical, informational, and chiral-torsional stabilization. A key element of the main article is the chiral-torsional sector, in which the antisymmetric two-form QμνχτQ^_Qμνχτ is projected onto the surface by means of the binormal Σμν^Σμν. The use of the binormal is essential because it avoids the erroneous cancellation of the antisymmetric contribution that would occur under a projection of the form nμnνQμνχτn^ n^ Q_^nμnνQμνχτ. In this formalism, chirality and torsion are not presented as proven new fundamental interactions, but as effective correction channels that can be constrained by experimental and observational data. The main article also develops an effective action, a variational definition of the energy-momentum tensor of the informational sector, a comparison with Einstein–Cartan theory, a controlled reduction limit toward known geometrical theories, and numerical demonstrators explicitly marked as WORK status. These demonstrators include a compression profile, a simplified black-hole evaporation model, and an axisymmetric field demonstrator γ (r, θ, t) (r, , t) γ (r, θ, t). They are not presented as physical MasterData or as predictions for specific astrophysical objects. Their purpose is to test procedural stability, maintain computational transparency, and prepare the ground for future calibration. Particular attention is given to the black-hole information problem. The model does not claim to solve Hawking’s information paradox. Instead, it proposes a language for testing additional surface, phase, and chiral-torsional correlations. A working hypothesis is also introduced in which the black-hole–corona system may act as a mechanism for reconstructing analog information into the USC code form and subsequently re-reading it in another physical or cosmological domain. This hypothesis remains exploratory and requires separate theoretical, numerical, and observational investigation. The technical annex BK-18A serves as a mathematical and numerical control extension. It organizes definitional equations, calibration parameters, BVP and ODE demonstrators, working MDW values, future MasterData structures, and formal PASS/FAIL criteria. The annex develops, among other elements, the global calibration scheme for Metafield parameters, the multipole expansion of the USC resonant state, detailed neutrino-mass equations for normal and inverted hierarchy, working predictions for dark matter and dark energy, DESI comparisons, CMB-S4 and LiteBIRD gates, scalar and tensor bispectrum templates, BVP and ODE demonstrators, a 3D ray-tracing sketch, and a map of observational predictions A–E. The annex explicitly separates three data-status classes: WORK, MDW, and MasterData. WORK denotes a demonstrative or synthetic result showing that a procedure is implementable, but not yet representing physical calibration of the theory. MDW denotes a model-derived working reference value intended for test design, but still requiring explicit reconstruction of input data, source code, systematic uncertainties, and uncertainty propagation. MasterData denotes a future canonical table admissible only after observables, source data, estimators, background models, covariance matrices, and PASS/FAIL gates have been defined. This separation protects the package from conflating interpretive hypotheses with computational results. The significance of the full package is that the main article formulates the conceptual and formal core of the informational-mass hypothesis, while the technical annex shows how this hypothesis may be transformed into computable test modules. Together, the documents shift the question from “is mass a primitive scalar? ” to “can mass be an effective readout of a stable relational-topological configuration? ” This is not yet a closed predictive theory. It is an organized and falsifiable research programme defining a pathway from the surface functional, through the chiral-torsional sector and neutrino channels, toward cosmological observables, LHC data, EHT observations, KATRIN, Project 8, CMB-S4, LiteBIRD, and gravitational-wave detection. The package should be treated as a public theoretical-methodological preprint and a technical working resource for further calibration. Its purpose is not to announce confirmation of PJM–GTSFC–USC–GTCU, but to make available a coherent formalism, an expanded equation apparatus, a set of numerical demonstrators, and a list of observables that can be subjected to independent mathematical, numerical, and experimental control. Keywords EN PJM; GTSFC; USC; GTCU; Universal Structural Code; informational mass; E=mc2E=mc²E=mc2; surface resonance functional; Metafield; chirality; torsion; Einstein–Cartan; information geometry; Fisher metric; Holst term; Nieh–Yan; black holes; information paradox; Hawking evaporation; BVP; ODE; WORK; MDW; MasterData; PASS/FAIL; neutrinos; KATRIN; Project 8; LHC; DESI; CMB-S4; LiteBIRD; EHT; gravitational waves.