Invisible Beings and Lower-Dimensional Physics: Preprints, Supplementary Materials, and Validation Code

Two companion preprints with full supplementary materials: Invisible Beings and Lower-Dimensional Physics: A Structural Dialogue Between Quranic Metaphysics and the E8 Cascade — An interpretive framework mapping Quranic descriptions of invisible beings onto the mathematical physics of lower-dimensional universes derived from E8 × E8 heterotic string compactification. Proposes a three-tier hierarchy: angels ↔ 1+1D (E8), jinn ↔ 2+1D (E7), humans ↔ 3+1D (E6). Femtotechnology Through the Tau Universe Framework: A Barrow–Zewail–Tegmark Correspondence — Connects nanotechnology (10−9 m), picotechnology (10−12 m), and femtotechnology (10−15 m) through the Tegmark Level II multiverse hierarchy and Barrow's inward-mastery classification. The tau Bohr radius aτ = 15.22 fm places a hypothetical 1+1D tau-lepton universe natively at the femtoscale. Supplementary materials include: Interactive cross-universe periodic tables (HTML) for 3+1D (118 elements), 2+1D muonic (72 elements), and 1+1D tauonic (42 elements) Complete element-by-element periodic tables with binding energies and Bohr radii (LaTeX/PDF) Extended Quranic interpretive analysis (Supplement G) with Arabic text and morphological tables Python validation script reproducing all shell-filling physics from first principles (25 tests) Publication-quality periodic table figures (PDF) Full LaTeX sources for all documents Epistemic declaration: These are theoretical, speculative, and interpretive framework papers. The muonic and tau sectors are mathematical constructions within the Tegmark Level II multiverse; no experimental detection is claimed. Throughout, established physics, speculative extensions, and interpretive proposals are clearly distinguished using color-coded epistemic markers.