The Architecture: A Single-Parameter Geometric Origin of Physical Law

The universe has an architecture. A hub at bulk position c = 0. 50, with seven Randall–Sundrum warped intervals radiating outward as spokes, four spacetime dimensions extended across every spoke surface: 4 + 7 = 11. This is the hub-and-spoke geometry. It has one parameter. kL ≈ 37 — the depth of the warped extra dimension — encodes every physical constant, every particle mass, every force coupling, and the arrow of time. Every particle is a standing wave in the spoke cavity at a bulk address c between the TeV wall at c = 0. 00 and the Planck wall at c = 1. 00. Mass, charge, spin, generation, and force coupling are outputs of c. This is not a correspondence with M-theory. It is M-theory, derived from the geometry rather than assumed. kL is the single state variable. It only deepens (asymptoting toward a Goldberger-Wise minimum, developed in Section 8). Everything else follows. From this geometry, three load-bearing results emerge. E = mc² is epoch-dependent through c (kL): the RS induced metric gives c (kL) = cbulk × e^ (−kL), so the equation holds at every epoch with c and m both outputs of kL — not a new derivation of special relativity but a demonstration that it is kL-dependent. The Born rule P = |⟨o|ψ⟩|² is a partial trace theorem: the full Hilbert space is ℋTeV ⊗ ℋbulk, measurement operators act on the surface only, and the Born rule falls out as the unique consistent probability measure on the projected subspace — no axiom required. The distance-redshift relation is derived from c (kL): redshift is 1 + z = e^ (ΔkL), the Hubble constant is the kL drift rate normalized to cₙow, and the Goldberger-Wise radion potential is predicted to reproduce the observed luminosity distance curve without dark energy or free parameters (Priority Calculation #11). The 1998 supernova apparent acceleration is consistent with the radion slowing toward its minimum. Gravity is the bulk metric of AdS₅ — not a surface mode but the geometry itself, coupling to the full warped interval across all seven spokes simultaneously. The cosmological constant catastrophe and the weakness of gravity relative to the other forces are the same architectural problem: both are the hub signal attenuated by e^ (kL). kL = 37 is their common answer. Whether gravity is also quantized — whether gravitons exist as discrete particles — is a question the architecture does not need to resolve. Dark matter is not a particle. Three classes of electromagnetically inaccessible particle content — neutrino bulk flux, Planck-tail halo mass, and black hole displacement — produce the full gravitational dark matter signal as a geometric necessity: six of seven spoke-faces are electromagnetically unreadable, giving a predicted dark-to-visible ratio of 6/7 = 85. 7% against the observed 85. 0%. Forty years of null particle detection results are consistent with this picture; the framework predicts they will continue. The Hubble tension is the primary empirical evidence that c has changed between epochs — Riess measures c now, Planck measures c at recombination, and the 8% discrepancy is ΔkL = 0. 080, a 0. 2% fractional change in geometry depth over thirteen billion years. The muon g−2 anomaly, the DESI w ≠ −1 result, and JWST early massive galaxies are predicted signatures of the same geometry. The paper presents thirty-six falsifiable predictions and eleven kill shots. Any confirmed dark matter particle, supersymmetric partner, axion, nonzero neutrino rest mass from direct kinematic measurement eliminates the framework entirely. CMB-S4 and LiteBIRD will measure nₛ ≈ 0. 967 and r ≈ 0. 001–0. 002 from 7-spoke radion dynamics, or falsify the inflation picture. The fine structure constant α drifts with kL over cosmic time — temporal variation distinct from but related to the Webb et al. spatial result. kL ≈ 37. One system. One parameter. One direction.