The Khánh Incompressible Light Star KILS Series Paper 01: Foundation of Photonic Analog for Schwarzschild Incompressible Fluid Sphere

This is KILS Paper 01 – the first star of the KILS star chain (Khánh Incompressible Light Star). This paper initiates an independent KILS programme, separate from The Khanh Legatum Institutum P-series, dedicated to the laboratory realization of Karl Schwarzschild's second 1916 paper: Über das Gravitationsfeld einer Kugel aus inkompressibler Flüssigkeit. We propose a photonic analog with graded-index profile:n_in(r) = [1 - Rs r^2 / R^3]^{-1/2} for r ≤ R (interior)n_out(r) = [1 - Rs / r]^{-1/2} for r > R (exterior) Continuity at r=R and Buchdahl bound R > 9/8 Rs are derived as photonic no-go theorem. The 3D Nodes mesh (Interior / Sphere / Interface) provides fabrication mesh. Bio-magnetic no-go (force ~1e-3 pN) motivates shift to photonic. Series: The Khánh Incompressible Light StarAuthor: Sir Nguyễn Kim Khánh – Khanh University, Faculty of Interplanetary Engineering 2030, Fiat Lux – Lux HumanaSoli Deo Gloria – Ad Maiorem Dei Gloriam – Deus VultTarget: Nobel Physics 2039 Files: PDF + DOCX (6 pages) + Python replica code available on request.Community: KILS – Fiat LuxKeywords: KILS, Schwarzschild interior, photonic crystal, analog gravity, Buchdahl limit