extra-dimensions

5D Gauss-Bonnet braneworld with holographic transfer function. First-principles derivation complete. Observational test reveals S₈/Lyman-α incompatibility. Theoretical analysis shows equivalence principle violation. Falsification published.

A certified 2.68 TeV gap in the closed-form map of the compactification scale of SU(7) grand gauge-Higgs unification: the inverse map, its named no-go certificates, and the invariant its two observables cannot see (Part VIII).

An upper bound on the compactification scale of SU(7) grand gauge-Higgs unification, and the dijet angular distribution that tests it (Part VII).

Schur functions at (1,-1,t,1/t): a closed form on the non-identity component of O(4) (Part IV).

Explore how spatial dimensions, coupling constants, and compactification topologies shape universe viability. Append-only encrypted state, multi-language (Rust/Go/Kotlin).

What the Higgs Potential Cannot See: bulk matter that cannot help select a boundary condition (Part V).

Proton decay in SU(7) grand gauge-Higgs unification: an obstruction, its minimal escapes, and the one row of their Table 1 that can pay for them (Part VI).

Three Gates to a Quark Generation: an exact criterion for which SU(4) representations contain the Standard Model (Part II).

Anomaly- and tadpole-compatible fermion completion of 6D SU(4) gauge-Higgs unification (exact, Lean-checked) (Part I).

A centre-charge selection rule for the Wilson-line potential: the fundamental domain of gauge-Higgs unification is representation-dependent (Part III).