Dimensionless Fractals and the Emergent Universe: A Path to Unifying Quantum and Relativity

This speculative preprint explores the idea that space, time, and even "particles" may be emergent illusions arising from a deeper, dimensionless fractal-like substrate. This substrate could encode both quantum and relativistic phenomena within a single, universal Hilbert space. By integrating insights from fractional quantum gravity, loop quantum gravity spin networks, holography, and emergent gravity, this work suggests that the universe might be a grand superposition. Concepts like wavefunction "collapse" are reframed as vantage-specific projections on a fractal lattice, rather than universal events.

The paper proposes testing this framework by using classical or quantum AI to analyze cosmic microwave background (CMB) data, large-scale structure (LSS), gravitational-wave signals, and quantum interference experiments for fractal or scale-invariant signatures. While speculative, this approach could unify quantum wavefunctions and spacetime curvature under a single principle.

This preprint includes conceptual sketches (e.g., fractional operators, fractal wavefunction expansions, iterative spin-network models) and calls for collaboration to further develop the mathematics and test these ideas experimentally. Constructive feedback and interdisciplinary contributions are highly encouraged to advance this speculative framework.