Emergent Spacetime from Octonionic Dissipative Dynamics: A Complete ScalarTensor Unication

We present EMSTI (Emergent Metric–Scalar–Tensor theory with Irreversibility), a unified framework deriving spacetime geometry, the Standard Model gauge group, three chiral fermion generations, and mass hierarchies from a single mathematical structure: the exceptional Jordan algebra J₃(O) coupled to a closed-time-path (CTP) dissipative formalism.

The construction proceeds in five steps, each with explicit hypotheses and falsification criteria.

First, the gauge structure: the stabilizer chain of J₃(O) yields SU(3) × SU(2) × U(1) with the correct hypercharge spectrum (14 states per generation), three generations from Spin(8) triality, and anomaly cancellation; the chiral extension Str₀(J₃(O)) ≅ E₆ provides complex representations.

Second, emergent gravity: the Einstein–Hilbert action is derived from spontaneous symmetry breaking of SO(1,4) ⊂ F₄, where the vierbein emerges as Goldstone bosons and M²_Pl = v/g₀² is fixed by the SSB scale; this is independently confirmed by a second route in which a Riemannian metric gE emerges non-circularly from a discrete pre-geometric Markov kernel via Varadhan's formula, with intrinsic spectral dimension ds = 4 and SDPI-guaranteed uniqueness, and the resulting action belongs to the Horndeski class with G₃ = G₅ = 0, guaranteeing cGW = c.

Third, fermion masses and mixing: Froggatt–Nielsen charges are selected as the unique minimizer of a CKM-inclusive cost functional on the anomaly-constrained charge lattice, and the A₄ modular-symmetric CKM-inclusive minimizer yields n⁽¹⁰⁾ = (3, 2, 0) with all 12 observables (9 masses + 3 CKM angles) reproduced at 0.87% mean accuracy.

Fourth, proton decay: a complete EFT pipeline (matching → suppression → RG running → hadronic matrix elements) gives τp ~ 10³⁵±¹ years, with extra E₆ generators being quantitatively irrelevant (ΓE₂/ΓE₁ ≲ 10⁻³²).

Fifth, the strong CP problem: the CTP doubling provides a Fujikawa-type cancellation of the θ-parameter without axions, preserving weak CP violation.

The scalar–tensor sector is structurally closed: the solution space has a compact global attractor, coarse-graining is a strict KL-divergence contraction (SDPI), and the IR theory is unique modulo an explicit Jaynes-type axiom. A six-front computational validation campaign has been completed: gravity derived via SO(1,4) SSB; CKM tension resolved at 0.87% accuracy; gravitational wave spectrum from the electroweak phase transition calculated with LISA SNR = 17–60; FRG Phase 1 diagnostics confirming that the Einstein–Hilbert truncation is insufficient for Ns = 27; spectral dimension methodology validated with correct convergence trend; and the J₃(O) decoherence role clarified as structural (gauge group derivation), not dynamical.