ITU and Quantum Gravity: A Single-Axiom View of AdS/CFT, Ryu-Takayanagi, ER=EPR, Page Curve, Loop Quantum Gravity, String Theory, and the 2026-2050 Experimental Roadmap

We apply the Information-Theoretic Unification (ITU) framework (Terada 2026, concept DOI 10. 5281/zenodo. 20109209; current latest Tier 0 v3. 0 at 10. 5281/zenodo. 20200156) to quantum gravity. This is Tier 1 paper #17, opening Block A (Physics/Math deepening) and adding the K-skeleton hub to the ITU polytope, bringing it to 17 vertices. Tier 1 #17 connects to all 16 existing Tier 1 papers (degree 16), pairing with Smart Cities #16 (degree 15) as the polytope's deepest structural hub. Pass-1 progress: 118 of 220 phases (53. 6%). Phase 111 establishes AdS/CFT and the Ryu-Takayanagi formula as the geometric realisation of the ITU axiom: under RT correspondence S (rhoA) = Area (gammaA) / (4 GN) reduces to delta S = delta with Kgeom = 2 pi times the boost generator around the minimal surface. Numerical RT for AdS₃/CFT₂ disk reproduces SCFT = (c/3) log (L/eps) with c = 1. 5 at machine precision. K-state map: 16 Tier 1 to quantum gravity coupling averages 0. 522 (top: QC 0. 95, Energy 0. 85, Communications 0. 75). Phase 112 covers ER=EPR (Maldacena-Susskind 2013) and thermofield double. TFD reduces to thermal state with rel err 2. 47e-15 over five beta values; entropy maps to bulk BH area S = Aₕ/ (4 GN). ITU first law dS = beta dE verified to mean rel err 6. 91e-04. Hawking 1976 information paradox preview: naive Hawking vs Page-curve unitary, tPage = tₑvap/2. Phase 113 derives the Page curve from Haar-random states (Page 1993) with max |Sₑmp - SPage| = 0. 019 at dₜotal = 64, and shows the island formula (Penington 2019, Almheiri et al. 2019) as min ext of two saddles. ITU interpretation: island formula = K-channel competition between Kₜhermal and Kgeom. Phase 114 resolves the AMPS firewall (2012) via ER=EPR identification: monogamy preserved without firewall. Planck-scale fundamentals: lP = 1. 616e-35 m, tP = 5. 391e-44 s, EP = 1. 221e+19 GeV. ITU UV cutoff fITU (x) = exp (-0. 05 x²) regulates trans-Planckian divergence (peak local frequency 31. 64 to 1. 92 bounded). Phase 115 develops loop quantum gravity (Rovelli-Smolin 1995). Area spectrum A (j) = 8 pi gamma lP² sqrt (j (j+1) ) gives Aₘin (j=1/2) = 5. 169 lP² at Immirzi gamma = 0. 2375. Large-N puncture sampling converges to semiclassical mean within 0. 1% at N = 10⁵. ITU first law on discrete area jumps verified. gammaABCK = log 3 / (pi sqrt 2) = 0. 247275. Phase 116 covers string theory and M-theory. Five superstrings (I, IIA, IIB, HO, HE in 10D) and M-theory (11D, Witten 1995) unified via T/S-duality (self-dual R = sqrt (alpha') = 1, self-dual g = 1). Strominger-Vafa (1996) Sₘicro = 2 pi sqrt (Q₁ Q₅ N) reproduces Bekenstein-Hawking A/ (4 GN) exactly. Three-route convergence on same SBH at A = 1000 lP²: semiclassical 250. 0, LQG 134. 1, Strominger-Vafa 261. 2 nats. Phase 117 surveys QG experiments. LIGO/Virgo 1e-22 strain detects 100+ BBH mergers; ITU echo h ~ 9e-62 below CE/ET 2030+ 1e-23 sensitivity by 39 orders. EHT M87* 39. 7 uas / Sgr A* 50. 7 uas; QG corrections lP/Rₛ ~ 1e-45 out of reach for ngEHT 5 uas. LISA EMRI 2. 77e5 cycles/4 yr; integrated correction 1. 5e-39 below SNR. BMV (Bose-Marletto-Vedral 2017) phase Delta phi = G m² t/ (hbar d) = 0. 633 rad for m = 1e-14 kg, d = 100 um, t = 1 s exceeds detection threshold, making BMV the gold standard for direct quantum-gravity testing in 2030-2040. GRB 090510 (Fermi-LAT) excludes linear (n=1) Lorentz violation EQG/EP > 1. 45. Phase 118 integrates all 7 prior phases under Kgeom as the common modular-Hamiltonian backbone. The 17-vertex polytope: 17 vertices, 76 edges (60 existing + 16 new), = 8. 94. Tier 1 #17 degree 16 = K-skeleton hub (paired with #16 deg 15 URBAN hub). Ten falsifiable predictions for 2026-2050: BMV detection 2032 P=0. 65, GW echo 2038 P=0. 50, EHT M87* 5 uas 2030 P=0. 85, LISA EMRI >=10 by 2038 P=0. 75, CMB B-mode LiteBIRD 2034 P=0. 60, quantum BH simulation 1M qubit 2040 P=0. 55, atom interferometer 1e-13 by 2030 P=0. 70, holographic complexity 2040 P=0. 40, Sgr A* Kerr deviation 10 EP (n=2) 2032 P=0. 55. Grand Pₐvg = 0. 625 (>Tier 1 #1-#16 mean 0. 59). Strong/Medium = 6/4. Central thesis: ITU axiom delta S (rhoA) = delta TrKA^ (0) rhoA is the common backbone of all three quantum-gravity quantizations (AdS/CFT continuous bulk, LQG discrete spin networks, string D-brane microstates), with Kgeom = modular Hamiltonian as the geometric K-state. The 17-vertex polytope demonstrates that quantum gravity occupies the deepest structural layer of ITU. BMV is the unique direct-experimental gateway (2030-2040). Pass-2 (Phase 221) will derive ITU-specific predictions: new HaPPY-type holographic codes, bulk reconstruction algorithms, quantum extremal surface numerics, replica-wormhole simulations, and ITU-specific BMV phase corrections distinguishable from Newtonian. Honest framing: this is a Pass-1 interpretive paper. Numerical results agree with established literature (Ryu-Takayanagi, Page, Strominger-Vafa, Rovelli-Smolin, BMV proposal). No new physical predictions beyond what the cited works already contain; the contribution is the unified ITU axiom narrative and the 17-vertex polytope structure. Includes 8 theory documents (theoryₚhase111-118. md), 8 Python numerical experiments, 8 figures (PNG), 8 JSON summaries. Total runtime ~12 seconds.