Angle-Only Dynamics and the Hubble Tension (AOH v5)

This version updates AOH by incorporating the new companion ARG paper: Angle-Only Relational Gravity: Angular-Speed Power Series, Boundary-Present Readouts, and the Structural Hubble BridgeDOI: 10.5281/zenodo.20265584 The central physical hook of AOH is that the same MOF–FDC–PFC–SCR readout grammar points simultaneously toward H₀ ≈ 67.37 km s⁻¹ Mpc⁻¹,a₀ ≈ 1.2 × 10⁻¹⁰ m s⁻²,χ_a ≈ 0.18314,B_AOH ≈ 0.09157, and the galactic BTFR scaling v⁴ = G M a₀. AOH develops these as testable cosmological and galactic readout sectors, not as fitted replacements for standard cosmological or astrophysical modelling. The main update in this version is the improved status of the Hubble bridge coefficient. Earlier versions treated the order-one bridge coefficient κ_H as an externally stated structural bridge. In this version, κ_H is linked to the companion ARG derivation, where κ_H = 84/73 is obtained as the trace-density lift required when a boundary-present local readout is compared against the boundary-absent background benchmark, using the FDC relational closure rel = 11. Thus AOH remains the Hubble-tension-facing and galactic-scale entry paper, while ARG supplies the structural reconstruction of the angular-speed hierarchy: x⁰: boundary-absent background readout,x¹: boundary-onset / flat-rotation scaling,x^(3/2): Newtonian circular closure demand,x^(5/2): weak-field relativistic circular closure correction. Using Angle-Only / Angle-Reduction Gravity together with the structural constants supplied by the FDC/SCR framework, AOH studies how the Hubble scale, the MOND-type acceleration scale, environmental Hubble residuals, and galactic flat-rotation behavior can be read within a single no-new-scale grammar. The paper includes the ω¹ galactic carrier, the amplitude bridge a_gal = sqrt(a_N a₀), and the associated BTFR scaling v⁴ = G M a₀. It also formulates an observational protocol for the environment weight η, separating rank-based ordering tests from physically normalized slope tests. In particular, the environmental Hubble residual coefficient is organized through ΔH/H₀ ≈ B_AOH η, with B_AOH ≈ 0.09157 under physical η-normalization. Within the broader MOF–FDC–PFC–SCR–AOH–ARG program: - MOF provides the eliminative ontological foundation.- FDC provides the formal finite-distinguishability closure framework.- PFC gives the physical reading layer.- SCR records structural constant readouts.- AOH applies the grammar to Hubble-scale and galactic-scale phenomena.- ARG supplies the structural angular-speed reconstruction and the κ_H = 84/73 Hubble bridge. Readers approaching from observational cosmology or galactic dynamics may begin with AOH. Readers interested in the structural angular-speed hierarchy and the derivation of κ_H should consult ARG. Readers interested in structural constants should consult SCR. Readers interested in the formal closure grammar should consult FDC. Readers interested in the foundational ontology should consult MOF. This paper should be read as a testable cosmological and galactic readout proposal, not as a finalized replacement for standard cosmological or astrophysical modelling.