String Lattice Percolation and Emergent Spacetime: A Unified Mechanism for Black Holes, the Big Bang, and Cosmological Reproduction

We present a model of emergent spacetime in which space, time, and all physical fields arise from string dynamics. Strings are not embedded in spacetime — spacetime is strings. Where no strings exist, there is no physics: no space, no time, no energy, no fields. Under sufficient compression, strings form a face-centered cubic lattice and undergo a collective phase transition, creating a hollow region bounded by a string-lattice wall obeying Hawking thermodynamics. The wall thickness is governed by the FCC bond percolation threshold, yielding the central formula: Δ (M) = ℓₛ · ln (1/pc) / ln (4GM/ℓₛ). This formula applies at all scales. The Big Bang is proposed as a percolation event — a mechanical fracture of the wall at the percolation threshold. The model makes a falsifiable prediction: gravitational wave echoes at t = 2Δ/c following merger events, currently below detection threshold. All principal limitations are acknowledged explicitly, including the sub-Planck scale of the predicted wall thickness. This paper is a constructive companion to: Saul, B. (2026). String Theory as a Mathematically Inevitable Consequence. https: //doi. org/10. 5281/zenodo. 20677635