White Book of the LOM–GTSFC–USC–GTCW Theory. A Formal Language of Structural Couplings, the Universal Structural Code, the Metafield, Coded Information and the Cyclic Dynamics of Universes BKT-11 Annex No. 11

This document constitutes BKT-11 Annex No. 11 within the White Book of the LOM–GTSFC–USC–GTCW Theory programme. Its purpose is to organise and formally define the mathematical and physical apparatus of the theory comprising the Law of One Mechanism, the Global Theory of Shared Couplings of Fundamental Structures, the Universal Structural Code and the Global Theory of Cyclicity of Universes. The annex presents a coherent definitional language of the theory: from relational closure of physical structures, through coded density of the metafield, structural information current, compatibility estimators, reconstruction operators for constants and masses, the neutrino sector, quantisation of the metafield, supersymmetric extension of USC, chiral anomalies, Green–Schwarz compensation, horizon mechanisms of information transfer and cyclic cosmological dynamics. The document does not replace standard physics. It treats standard physics as the empirically confirmed layer and develops an additional interpretive and formal level in which physical constants, masses, particles, fields, geometry, topology and information are described as projections of stable structural coupling channels. In this view, numbers appearing in physics are not treated as primary ontological entities, but as effective representations of deeper geometric, topological, quantum and informational relations. The publication has a definitional, synthetic and programmatic character. Its purpose is to establish a unified conceptual apparatus for subsequent annexes, numerical tests, computational models, falsification protocols and comparisons with experimental data. Particular emphasis is placed on distinguishing standard physics, formal USC definitions, diagnostic estimators, working hypotheses and predictions requiring independent validation. Article introduction Contemporary physics possesses highly effective local theories: quantum mechanics, quantum field theory, the Standard Model, general relativity, thermodynamics, information theory and observational cosmology. Each of these domains describes a different aspect of physical reality. Yet the question remains open whether there exists a deeper formal language capable of describing the common organisation of stable physical structures beyond the level of separate interactions, particles and constants. The LOM–GTSFC–USC–GTCW programme develops the hypothesis that such a language may be a relational and informational layer. In this view, a stable physical structure is not merely a set of material components or the result of a single interaction. It is treated as the closure of multiple compatibility channels: geometric, topological, phase, chiral, spin, curvature, scale, code and quantum channels. Mathematically, this is expressed by the relational closure defect, which determines whether a configuration lies within the admissible stability band. One of the main motivations for the theory is the observation that high-energy physics reveals a vast number of transient states, resonances and unstable configurations, whereas stable structures such as the electron, proton, photon or neutrino have a special status. Supplying energy alone is not sufficient to create a durable structure. Within USC, stability requires the fulfilment of relational closure, namely the compatibility of channels that together form a physically admissible structural knot. A second key motivation is the reinterpretation of physical constants. In the classical description they are represented as numbers. In the LOM–GTSFC–USC–GTCW approach, their values are treated as effective projections of deeper couplings. The Universe does not need to “know numbers” in the sense of human arithmetic notation. It may realise stability through relations, proportions, coupling channels, curvature, topology, symmetry, phase and information. The numbers appearing in measurements are then the result of projecting these relations into the language of an observer. BKT-11 Annex No. 11 systematises the formal apparatus of this theory. It introduces definitions of the metafield, coded density, code current, principles of structural information conservation, logarithmic estimators, reconstruction operators for physical constants, the A10 and A16 operators for the neutrino sector, quantisation of the metafield, supersymmetric extension, chiral anomalies and compensation mechanisms. Each element is accompanied by a description of its components, physical interpretation, epistemic status and possible testing pathway. An important part of the document is also the description of black holes as potential structures of horizon compression and transformation of information. In this interpretation, Hawking radiation is not rejected, but receives an additional interpretation as a possible energetic cost of changing the representation of horizon information. At the same time, the constraints of microcausality and no signalling are preserved: entanglement may participate in the reorganisation of correlations, but it is not treated as a channel for controllable faster than light information transfer. The document presents the theory as a research programme, not as a closed proof. Its value lies in formulating a coherent language that makes it possible to move from structural intuition to equations, from equations to estimators, from estimators to PASS/FAIL conditions and then to future numerical and experimental tests. In this sense, BKT-11 Annex No. 11 serves as a formal map of the theory and a reference point for further work on its validation.