Collective Quantum Coherence in Diamond Nanoresonators: A Falsifiable Theoretical Proposal (V1.3)

This work presents a condensed, falsifiable, and fully structured theoretical proposal for the emergence of ODLRO-like collective quantum coherence in diamond nanomechanical resonators.The document introduces a quantitative parameter window (g/κ > 1 and χ/κ > 0.1), incorporates explicit decoherence modeling, provides a phase diagram of the Many-Body Quantum Coherence regime, and defines strict falsification criteria applicable to mK experiments. This preprint is the formal and compact version intended for arXiv submission.It is complemented by the extended hypothesis “Coherencia Cuántica Colectiva en Nanoresonadores de Diamante”, available at Zenodo (DOI: https://doi.org/10.5281/zenodo.17700187). All numerical values in this work are conditional and transparency-focused, pending ab-initio and FEM validation. Version 1.2 This version incorporates significant presentational and conceptual refinements following external expert feedback. Key updates include: • Figures 1 and 2 have been fully redesigned as minimal schematic illustrations, removing unnecessary visual detail and clarifying the conceptual mechanism (phononic bus) and the experimental architecture. • Figure 3 has been reformulated as an operational phase diagram, introducing an explicit coherence-order threshold (ζ = 0.5) used to distinguish incoherent thermal behavior from phase-locked many-body quantum coherence (MBQC). This criterion is defined operationally rather than as a universal phase transition. • The captions and main text have been revised to explicitly justify the coherence threshold as an experimentally meaningful marker associated with persistent phase locking and suppressed phase diffusion. • Minor terminology corrections and consistency improvements were applied across the manuscript (including figure labels). No changes were made to the underlying theoretical framework, parameter window, or falsification criteria introduced in Version 1.1.