Quantum Fluctuations of the Space-Medium: A Unified Framework for Classical Geometry and Quantum Behaviour

This work, Quantum Fluctuations of the Space-Medium: A Unified Framework for Classical Geometry and Quantum Behaviour, forms the third paper in the ongoing Space-Medium series of theoretical studies. It extends the framework introduced in [The Space-Medium: A Timeless Physical Framework for the Origin, Structure, and Fate of the Universe — DOI 10.5281/zenodo.17552018] by incorporating quantized microscopic fluctuations of the same physical substrate. The paper demonstrates that classical curvature (general-relativistic behaviour) and quantum phenomena (wave–particle dynamics) emerge as complementary statistical limits of one underlying medium. It further introduces relational time and semiclassical feedback to establish a mathematically consistent bridge between the macroscopic and quantum domains. The complete series currently includes:

1. The Space-Medium (2025) — macroscopic timeless formulation of general relativity.

2. The Multicivilization Continuum (2025) — thermodynamic application to astrobiology.

3. Quantum Fluctuations of the Space-Medium (2025) — quantum extension linking micro- and macro-physics.