Imaginary Kerr Horizon in Every Rotating Body Below One Solar Mass - A Universal Quantum-Gravity Boundary (A4)

Note: this is a new version 2. Mathematical corrections and updates were made with the help of Claude Opus 4.7 and Sonnet 4.6 (Anthropic). Universal Quantum-Gravity Boundary We prove that every rotating mass below one solar mass (M < M⊙) has imaginary-valued Kerr outer horizon. The magnitude is: |r+| ≈ Rv/2c It is independent of mass, determined only by physical size R and tangential speed. The horizon becomes real only at: M ≥ 1 M⊙ This is a classical Kerr geometry effect — no coherence required. Coherent systems amplify it via de Broglie resonance, as explained in my other articles. We redefine the smallest mass with a Kerr horizon: Not Planck mass (10-8kg), but any rotating object — from molecules to planets — has an imaginary-valued horizon larger than Planck length. Gravity is imaginary — until the stars. Companion and foundational work: Gravity Resonance (M.P.) Full repository links available on A9 Zenodo page: https://doi.org/10.5281/zenodo.18888582 _________________________________________________________________________________ A note on coherence and the scope of the A-series: Early papers (A1–A6) propose engineered systems — toroids, hydrogel rings, nanoparticle arrays — designed to bring a macroscopic body into a resonance condition. The coherence properties of these systems, particularly the DNA-origami hydrogel toroid in A2, are not fully characterized. Whether such a system exhibits quantum coherence in the strict sense, mechanical coherence, or some intermediate biological quantum coherence of the kind observed in photosynthetic complexes remains an open experimental question. What A2 proposes is precisely to test this — the experiment itself would shed light on the coherence question. De Broglie's original formulation applied the wave relation to the center of mass of any system, not only to coherent quantum beams — empirically supported by Sagnac interferometry and SQUID measurements of macroscopic rotating bodies. Papers A7, A8, and A9 operate on entirely different ground. They do not propose any engineered body or coherence condition. Instead, they derive the mass and geometric scale of vacuum granules already present in the universe — from the observed 1–5 Hz noise floor common to all precision instruments, from the Kerr metric applied to any rotating body, and from Compton wavelength reasoning. The question of coherence does not arise in A7–A9: we are not creating a resonance condition, we are detecting one that already exists, at scales of 22 metres to 22+ kilometres — within the reach of LIGO, Virgo, the Einstein Telescope, and tabletop rotating systems. The A-series as a whole move from engineering proposals toward geometric discovery. The later papers stand independently of any coherence assumption.