On the Formulation of the Stratum Equation: A Discrete Analog of GR in the Unified Wave Cosmological Model

AbstractWithin the framework of the Unified Wave Cosmological Model (UWCM), spacetime (theStratum) is a discrete quantized network with a minimal scale—the Planck length lP. In works1–4, the following results were obtained:• mass quantization: M = N ·mP, N ∈ N;• energy transfer quantization: ∆E = k · EP;• information quantization (holographic principle);• time quantization: ∆t = n· tP;• resolution of quantum paradoxes via discrete dynamics.However, the key element of UWCM formalization—a discrete analog of Einstein’s equation(the Stratum equation)—has not yet been obtained in closed form.The present work is a problem statement for the Stratum equation. Principles that it mustsatisfy are formulated: discreteness, quantization of the gravitational radius (Rs = 2NlP),elimination of singularities, and the correspondence principle with GR. A qualitative sketch ofa possible form of the equation is proposed, based on the discretization of the Laplacian. Openquestions are listed explicitly.The work concludes with an invitation to collaboration: the task of formalizing the Stratumequation requires the collective efforts of mathematicians and physicists and cannot be solvedalone.