A Parameter-Free Unification of Quantum Mechanics and General Relativity

This work presents a parameter-free unification of quantum mechanics and general relativity based on the Planck two-measure σₚ = ℓₚ · tₚ = ħ G / c⁴ This fundamental spacetime cell links quantum fluctuations, gravitational geometry, and cosmic expansion without introducing extra fields or adjustable parameters. The formulation simultaneously:• regularizes vacuum energy through covariant Heat-Kernel averaging,• resolves classical singularities via Planck-covariant source smearing,• determines the cosmological constant as Λ = 1 / (c R t) • and connects the fine-structure constant α ≈ 1/137 to holographic microstructure. This approach unifies microphysics, gravity, and cosmology in a single informational–geometric framework, providing testable predictions for cosmic acceleration, running couplings, and galactic dynamics without dark matter. Zander, A. (2025). The Statistical Price of True Love - An Abductive Approach to Romance Entropy and Eurojackpot Zenodo. https://doi.org/10.5281/zenodo.17349822 Zander, A. (2025). The Natural Structure of Spacetime: From Quantum Mechanics, Relativity, and Gravitation. Zenodo. https://doi.org/10.5281/zenodo.17357165