Deconstruction of Time and Velocity as a Consequence of the Tensorial Extension of the Mass–Energy Relation in the USC Framework

Opening note for the publication This publication, designated as BKT-30, is a self-contained module of the GTWSSF–USC–GTCW research programme devoted to the formal deconstruction of time and velocity as scalar quantities. The work extends the previous line of analysis in which mass and energy are not treated as primitive ontological entities, but as observable projections of a deeper relational-informational structure. The starting point of the article is Einstein’s classical relation (E=mc^2), preserved here as the correct scalar limiting relation of established physics. This relation is not rejected and is not replaced by an arbitrary alternative. It is embedded in a broader tensorial language in which the effective source is described by the USC tensor [TUSC{μν}=T{μν}+λ_I Iμν.] In this formulation, (Tμν) remains the classical stress-energy tensor, while (Iμν) represents a hypothetical informational-structural sector. The aim of the construction is to examine whether mass, energy, time and velocity can be described as projections of one relational source structure, while preserving reduction to established physics when the informational sector vanishes. The article does not present the informational tensor as an experimentally confirmed component of the Standard Model or of general relativity. It is a formal working hypothesis formulated under BK discipline: with explicit definitions, limitations, limiting reductions, a variational apparatus, numerical annexes and PASS/FAIL assessment conditions. Introduction The main research question of this work is whether time and velocity must be treated as primitive physical quantities, or whether they can be derived from a deeper reconstruction structure. In classical metrology, time and velocity appear as scalar quantities: they are measured, compared and recorded numerically. In the USC framework, however, a scalar is treated as the final result of a projection, not as the full physical structure that generates it. For this reason the article introduces the scalarization-bias hypothesis. Its meaning is the following: a correct numerical result is not necessarily identical with the complete physical mechanism behind it. A number is indispensable for measurement, but it cannot automatically be absolutized as the final form of physical reality. In the paper, this principle is expressed logically: equality of scalar projections does not imply equality of full relational structures. Consequently, time is defined as reconstruction time: [dτUSC=(1+χ_I)dτ_g,] where (τ_g) is metric proper time and (χ_I) is a dimensionless informational contribution derived either from the projection of the informational tensor or from the reconstruction balance. The equivalent reconstruction form is [dτUSC={dΣᵢᵣᵣ}{Φeff},] where (dΣᵢᵣᵣ) denotes the irreversible increment of the structural-informational record and (Φeff) denotes the effective throughput of reconstruction channels. In this interpretation, time is not an independent ontological axis, but a measure of ordered structural reconstruction. Velocity is treated analogously as the ratio between reconstructed spatial displacement and reconstructed time: [βUSC(e)=β_g1+ξ_I(e)/1+χ_I(e).] Velocity is therefore not regarded as a primitive scalar, but as the result of two projections: a spatial projection and a time-energy projection. The paper emphasizes that this does not imply an arbitrary variation of the speed of light in the present SI system. The speed of light remains the definitional normalization of the lightlike channel. Possible eonic differences must be formulated through dimensionless relations, coupling tolerances and boundary functions, not through the simple replacement of one dimensional number. A central part of the work is the USC anti-numerological principle. Values such as (p₃₃=137), (1/137), or the controlled model transition (1/137 → 1/139), are not presented as magic numbers or causes of physical phenomena. They are treated as possible boundary labels arising from structural functionals, spectral geometry, channel tolerances and closure conditions. The interpretive hierarchy adopted in the work is [structure.] Thus, numbers remain tools of exact physics, but they are not treated as the primary ontology of the Universe. The article also introduces a dynamic extension of the informational sector through a scalar field (φ). The introduction of the action (S_I), a Klein–Gordon-type field equation and the stress-energy tensor (T^Iμν) allows the model to move beyond a purely phenomenological informational tensor. In this dynamic version, the parameter (χ_I) can be obtained from field solutions. The work also analyzes consistency with Bianchi identities, the disformal metric, the DHOST degeneracy condition and constraints arising from equivalence-principle tests. The spectral part of the article develops the eonic functional through the Dirac operator and the Laplace–Beltrami operator on families of cycle manifolds, including lens spaces. This apparatus makes it possible to formulate a test of whether the index (N=33) and the boundary (1/137) can arise from a spectral-channel stability condition, rather than being inserted arbitrarily. The annexes provide explicit numerical calculations. For the hypothetical eonic transition (p₃₃=137 → p₃₄=139), the linear model gives a decrease of the model tolerance width by approximately (1.43885%) and an increase of structural precision by approximately (1.45985%). For the present eon, the paper also shows that a direct substitution of (1/137) into the fine-structure relation leads to a FAIL result for direct scalarization, while the USC closure of the gravitational constant remains within the combined uncertainty relative to CODATA/NIST. The publication is therefore formal and research-oriented. It does not close the problem of time, velocity or the structure of physical constants. It opens a testable research path: from the mass–energy relation, through the informational tensor and reconstruction time, to numerical and spectral falsification conditions.