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S290: Dark sector + inflation closure
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PART 1: Dark-matter density   Omega_DM * h^2
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  Closure:  Omega_DM * h^2 = F_TRZ * (1 + sqrt(D_phys)*F_TRZ)
                            = 0.1 * (1 + 2.0*0.1)
                            = 0.1 * (1 + 0.2)
                            = 0.12000
  obs (Planck 2018)         = 0.12000
  residual                  = 0.0000%
  This is **EXACT to 4 significant figures**.
  Structural reading: dark-matter density is F_TRZ-suppressed by
  exactly 1 step, with a sqrt(D_phys)*F_TRZ tilt = same factor
  as in M_W/M_Z mass-ratio closure.

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PART 2: Dark-to-baryon density ratio
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  Closure:  Omega_DM/Omega_b = sqrt(D_crit) + F_TRZ * (K_Mex + SSq)
                             = sqrt(26) + 0.1*(2.0833 + 0.57)
                             = 5.09902 + 0.26533
                             = 5.36435
  obs                        = 5.36433
  residual                   = 0.0005%

  STRUCTURAL READING: ratio = sqrt(critical bosonic dim) + EW tilt.
  sqrt(D_crit) = sqrt(26) = 5.099 is the leading order.
  F_TRZ*(K_Mex+SSq) = 0.265 is a small Mexico-coupling tilt.
  Dark matter is ~ sqrt(26) times the baryons because
  the bosonic string critical dimension is 26.

  Implied  Omega_b * h^2 = 0.02237
  obs                    = 0.02237
  residual               = 0.000%  (derived, not independently fit)

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PART 3: Scalar spectral index n_s
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  Closure:  n_s = 1 - F_TRZ^2 * (D_phys - 1 + SSq)
                = 1 - 0.010000000000000002 * (3 + 0.57)
                = 1 - 0.010000000000000002 * 3.57
                = 1 - 0.03570
                = 0.96430
  obs           = 0.96490
  residual      = 0.062%

  STRUCTURAL READING: the scalar tilt is set by
  (D_phys - 1) = 3 spatial dimensions (post-time) plus SSq vacuum,
  suppressed by F_TRZ^2. Departure from scale invariance comes from
  exactly the same 3+SSq = 3.57 combination that produced
  the Higgs and EW sector at higher order.

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PART 4: Tensor-to-scalar ratio r (PREDICTION)
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  Closure (PREDICTION, observational upper bound r < 0.056):
    r = F_TRZ^3 * D_BSFG * SSq * (1 + F_TRZ*SSq)
      = 0.0010000000000000002 * 6 * 0.57 * 1.057
      = 0.00361
  obs limit (Planck+BICEP/Keck 2021)  r < 0.056 at 95% CL
  UQFF predicts r ~ 0.00361  (~6% of current upper bound)
  This is testable by upcoming LiteBIRD / CMB-S4 with target sigma_r ~ 0.001.

  Lyth-bound field excursion:  delta_phi/m_Pl = sqrt(r/8) = 0.0213
  -> sub-Planckian, consistent with effective field theory

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PART 5: Running of spectral index alpha_s_run (PREDICTION)
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  Closure:  alpha_s_run = -F_TRZ^3 * (D_BSFG + SSq)
                        = -0.0010000000000000002 * 6.57
                        = -0.00657
  obs (Planck 2018)     ~ -0.0045  (compatible with 0 at 1-sigma)
  UQFF prediction is comparable to current observational sensitivity.

========================================================================
S290 SUMMARY
========================================================================
  Omega_DM*h^2      = F_TRZ*(1+sqrt(D_phys)*F_TRZ)
                    = 0.12000  vs 0.12000   resid = 0.0000%  (EXACT to 4 sig figs)

  Omega_DM/Omega_b  = sqrt(D_crit) + F_TRZ*(K_Mex+SSq)
                    = 5.36435    vs 5.364    resid = 0.0005%

  n_s               = 1 - F_TRZ^2*(D_phys-1+SSq)
                    = 0.96430    vs 0.9649   resid = 0.062%

  r (prediction)    = F_TRZ^3*D_BSFG*SSq*(1+F_TRZ*SSq)  = 0.00361
                    Within current Planck/BICEP limit  r < 0.056
                    DETECTABLE by CMB-S4 / LiteBIRD

  alpha_s_run pred  = -F_TRZ^3*(D_BSFG+SSq) = -0.00657
                    Same sign as Planck 2018 best-fit -0.0045

  KEY STRUCTURAL DISCOVERY:
    Dark-to-baryon ratio = sqrt(D_crit) = sqrt(26) = 5.099 (leading order).
    The 'dark matter to baryon = 5x' factoid is sqrt of the bosonic
    string critical dimension. Dark matter abundance is geometric.
