What question did this study set out to answer?

The research aims to demonstrate that spacetime and physical fields emerge from string dynamics and to propose a model connecting these concepts.

June 15, 2026Open Access

String Theory as a Mathematically Inevitable Consequence: An Argument from Parsimony and the Bootstrap Principle

Key Points

The research aims to demonstrate that spacetime and physical fields emerge from string dynamics and to propose a model connecting these concepts.
Developed a model where strings create spacetime through dynamics and phase transitions.
Analyzed face-centered cubic lattice formation and its implications on spacetime.
Introduced a formula for wall thickness governed by the FCC bond percolation threshold.
Proposed the Big Bang as a mechanical fracture at the percolation threshold.
Presented a formula predicting wall thickness applicable at all scales: Δ(M) = ℓ_s · ln(1/p_c) / ln(4GM/ℓ_s).
Predicted gravitational wave echoes during merger events at t = 2Δ/c, currently undetectable.

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. 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: 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. Keywords: string theory, emergent spacetime, black holes, percolation, Big Bang, gravitational waves, quantum gravity

String Theory as a Mathematically Inevitable Consequence: An Argument from Parsimony and the Bootstrap Principle

Key Points

Abstract

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