The Indeterminacy Space as the Foundation of Spacetime Geometry. Unification of Quantum Mechanics and Gravity

I present a new hypothesis in which \textbf{the indeterminacy space} constitutes the fundamental level of reality, from which spacetime, quantum mechanics, and gravity emergently arise.

I introduce the field \(\Phi\) as a mathematical description of the indeterminacy space—a stable potential state whose fluctuations, through a mechanism of spontaneous tunneling, lead to the emergence of classical spacetime geometry and generate quantum effects. In this framework, black holes are special regions where spacetime undergoes a collapse into the primordial state of indeterminacy, thereby eliminating classical singularities and resolving the information loss paradox.

The proposed formalism enables a natural transition from the quantum scale to the macroscopic scale, offering a new perspective on the unification of quantum mechanics and gravity. The presented model generates specific experimental predictions that can be tested through observations of the cosmic microwave background (CMB), precise interferometric measurements, analyses of neutrino oscillations, and astrophysical observations of black hole properties.

This work is part of a broader study on the indeterminacy space and its role in the structure of reality. A detailed discussion of other aspects of the theory can be found in separate publications \cite{Paruzel2025, Paruzel2025a, Paruzel2025b}.