This work introduces a framework exploring a phase transition in a geometric model, suggesting implications for cosmic phenomena.
PROPRIETARY NOTICE: This manuscript represents the definitive version of the Lippa 3-Sphere (VL3S) framework. All intellectual property, including the Unified Lippa Constant (ΛL = 1.08285) and the verified monochromatic resonance at 368.124 nHz, are the exclusive property of Michael J. Lippa and the Appil Research Group. LICENSING AND USE: This work is protected under the Creative Commons Attribution-NonCommercial 4.0 International license. Use of these geometric constants or the VL3S manifold logic for commercial engineering, proprietary simulations, or for-profit research is strictly prohibited without a formal licensing agreement.
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Michael J. Lippa (2026) studied this question.
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