The Information Ignition Principle: Why the Universe Inflates — K = 256 ln(2)/9

Paper 5 of the Holographic Cosmology Series. Derives the Information Ignition Constant K = 256 ln(2)/9 ≈ 19.716 from three independent paths: (1) outside-in comparison of holographic boundary capacity with 4-bit bulk requirement; (2) inside-out comparison of Hilbert space dimension with spatial degrees of freedom; (3) ER=EPR interpretation as the ratio between entanglement capacity and spatial connectivity. All three converge to the same value.