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June 15, 20260 citationsOpen Access

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

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BSBoris Helmut Odysseus Saul

Key Points

  • The aim is to explore how spacetime and physical fields emerge from string dynamics and to propose a cohesive model for cosmic phenomena.
  • Developed a model of emergent spacetime based on string dynamics.
  • Outlined a mechanism using face-centered cubic lattice formation under compression.
  • Introduced a central formula connecting lattice properties to cosmological events.
  • Proposed that the Big Bang results from a mechanical fracture at the percolation threshold.
  • Established a formula for wall thickness based on the FCC bond percolation threshold.
  • Made a prediction of gravitational wave echoes occurring at t = 2Δ/c after merger events.

Abstract

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

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Cite This Study

Boris Helmut Odysseus Saul (2026) studied this question.

synapsesocial.com/papers/6a2f984ba1cfeec4908294cbhttps://doi.org/10.5281/zenodo.20677961
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