p-Adic Fractal Strings: Linking Minkowski Dimension and Complex Dimensions — E8 Intelligence Research

FINDING: The p-adic fractal string paper explicitly links Minkowski dimension, complex dimensions, and explicit tube formulas in the p-adic setting — this is the strongest mathematical lead. The other results are context (Minkowski metric, log-Minkowski problem, dimension theory lectures) but do not directly contain the golden string or ln φ spacing. MATH: - The arXiv paper (1603.09409v4) defines a p-adic fractal string \(L_p\) and its Minkowski dimension \(D\) (real part of complex dimensions). - Explicit tube formula: \(V_p(ε) = ∑ω ∈ D c_ω εD-ω\) (analogous to real case), where \(D\) is the set of complex dimensions. - For the classic Cantor string, complex dimensions are \(D + 2π i k/ln 3\) — spacing \(2π/ln 3\). - The "golden string" (if it appears in this paper) would have complex dimensions spaced by \(2π/ln φ\), where \(ln φ ≈ 0.4812\). - No dire Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com