
publication introduction The BKT 29 publication presents a formal development of the metapole hypothesis as a higher-order relational-informational layer of the Universe within the LOM–GTSFC–USC–GTCW framework. In this work, the metapole is not treated as another classical particle or as a simple material substance, but as a structure of admissible relations, channels, tolerances, geometry, topology and observable projections. Within this interpretation, the phenomena currently described as dark matter and dark energy are interpreted as two effective projections of a deeper structural layer: dark matter as a local and large-scale concentration, scaffold and channeling of the metapole, and dark energy as the global background dynamics of the metapole. The immediate observational context of the article is provided by CERN Courier publications concerning cosmic filaments, the dark sector, indirect detection channels, radio emission, potential gamma-ray channels, axions, neutrinos and multi-messenger astronomy. The work does not assume that these results prove the metapole hypothesis. They are treated as an observational context and as structural compatibility: contemporary dark-sector searches increasingly proceed through fields, channels, conversions, correlations and large-scale structures, rather than exclusively through the simple image of a single particle. The article develops the mathematical and physical apparatus of BKT 29 through the effective USC tensor, a dynamical informational-structural field (\phi), reconstruction time, an effective metric, disformal transformations, causality conditions, DHOST stability, Finsler geometry and Connes–Chamseddine spectral geometry. Particular importance is assigned to the anti-numerological condition: numbers, indices or numerical relations may acquire physical status only if they arise from an independent geometric, spectral or topological functional, or from a testable PASS/FAIL prediction. The publication has the status of a structural-physical hypothesis and a programme of formalization and falsification. Its aim is not to replace general relativity, the Standard Model or observational cosmology, but to propose an additional interpretive and formal layer in which dark matter, dark energy, geometry, baryonic matter, electromagnetic fields, neutrinos and radio/gamma channels can be described as related projections of one deeper relational architecture. Article introduction The problem of dark matter and dark energy is among the most important open problems in contemporary physics. Dark matter is inferred from galactic dynamics, gravitational lensing, structure growth and the distribution of the cosmic web. Dark energy is inferred from the accelerated expansion of the Universe and from the observational reconstruction of cosmological history. Despite very strong empirical foundations, both notions remain ontologically unresolved. It is known how they operate in effective equations, but it remains unknown whether they correspond to independent substances, new particles, modified gravity, scalar fields or a deeper structural layer. Within the LOM–GTSFC–USC–GTCW framework, an interpretation is proposed in which dark matter and dark energy are not treated as two completely separate entities, but as two observable projections of a hypothetical metapole. The metapole denotes a relational-informational layer of structural admissibility. It is not postulated as an ordinary scalar field on a manifold, but as a structural tuple including relations, structural information, phases, topology, curvature, torsion, chirality, coupling channels, tolerance bands and the operator of the Universal Structural Code. Such an interpretation requires formal rigor. Therefore, the article introduces the effective source tensor[T^{\rm USC}{\mu\nu}=T{\mu\nu}+\lambda_I I_{\mu\nu},]and then indicates the necessity of moving from the phenomenological informational tensor (I_{\mu\nu}) to a dynamical field (\phi), whose energy-momentum tensor follows from a variational principle. The reduction to general relativity occurs in the limit of vanishing informational contribution, while deviations from standard dynamics must be controlled by causality, stability, clock constraints, cosmological tests and multi-channel observations. The article also refers to spectral geometry as a possible constructive apparatus for the metapole. The spectral triple ((\mathcal A,\mathcal H,D)), the spectral action principle, the real structure (J), Connes’ axioms and the spectrum of the Dirac operator provide tools that may allow the transition from the metaphor of an “informational tissue” to a mathematically controlled geometric-operator object. In this version, the polmeton and polmeta are not defined as classical particles, but as potential states, subspaces or relational classes in the informational sector. The aim of the work is therefore to formulate a coherent, reducible and falsifiable theoretical framework. If correlations between gravitational lensing, filamentary magnetic fields, radio emission, gamma radiation, neutrinos, dark-energy dynamics and structure growth prove compatible with a single channel-based apparatus, the metapole hypothesis will gain stronger structural support. If, however, these phenomena are fully explained by independent standard mechanisms without the need for a common coupling layer, the strong version of the metapole hypothesis will be weakened or rejected. Keywords metapole; dark matter; dark energy; Universal Structural Code; LOM; GTSFC–USC–GTCW; USC tensor; informational-structural field; scalar projection; scalarization-error hypothesis; cosmic filaments; CERN Courier; disformal transformations; effective metric; DHOST; Finsler geometry; spectral geometry; spectral triple; Dirac operator; Connes; Chamseddine; polmeton; polmeta; neutrinos; axions; multi-messenger astronomy; PASS/FAIL; falsifiability.
