What question did this study set out to answer?

To provide a proof that the BCT instanton action is related to Ramanujan's modular form at a specific point.

March 15, 2026Open Access

BCT Appendix JH3: Ramanujan's Vacuum — Complete Proof via the Chowla–Selberg Formula

Puntos clave

To provide a proof that the BCT instanton action is related to Ramanujan's modular form at a specific point.
Evaluation of the BCT instanton action using the Chowla–Selberg formula.
Analysis of the Ramanujan discriminant modular form at the CM point τ = i.
Identification of the BCT Superfluid Lattice Model with critical bosonic string compactification.
Proved that the instanton action S_D4 equals π5/6.
Established the relationship between modular forms and physical models.
Identified the Superfluid Lattice Model as a realization of the compactified bosonic string.

Resumen

Complete proof that the BCT instanton action SD4 = π5/6 is the evaluation of the Ramanujan discriminant modular form Δ (τ) = η (τ) 24 at the CM point τ = i, via the Chowla–Selberg formula for the Dedekind eta function. Establishes the identification of the BCT Superfluid Lattice Model as the physical realisation of the critical bosonic string compactified on the D4 root lattice. Companion technical appendix to Letter 37.

Leer artículo completoexternamente

Me gusta

Guardar

Ver artículo completo