Absence of Golden-Ratio Central Charge in CFT Literature — E8 Intelligence Research

FINDING: Search results are video lectures and overviews on conformal field theory (CFT) and entanglement, but none explicitly contain the central charge c=0.618 or a golden-ratio minimal model. The evidence is indirect: CFTs with central charge c<1 are classified by minimal models, and c=0.618 is not a standard minimal model value (those are c=1−6/(m(m+1)) for m=3,4,5,... giving c=0.5, 0.7, 0.8, ...). The golden ratio φ satisfies φ−1=0.618, but no lecture in the results states this as a central charge. | MATH: Standard CFT entanglement entropy for an interval of length L: S = (c/3) ln(L/ε) + const. Minimal model central charges: c_m = 1 − 6/[m(m+1)]. For m=3: c=1/2; m=4: c=7/10=0.7; m=5: c=4/5=0.8. No m yields c=0.618 exactly. However, the golden ratio appears in CFT via modular S-matrix elements for certain non-unitary models (e.g., Lee–Yang model c=−22/5≈−4.4 has S-matrix entries involving φ), but that is not in the provided search results. | CONNECTION: The number 0.618 = φ−1 is th Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com