Interference Vacuum: A Step-by-Step Plan for Developing a Mathematical Description of the Model

The author's previous works proposed a geometric interpretation of the physical vacuum: our Universe is a 3-brane embedded in a five-dimensional bulk space and dividing it into two half-spaces. The vacuum observed inside the brane is interpreted as the interference of projected fields from these half-spaces. A mathematical framework was introduced, but five lacunae were left open. This document presents a step-by-step plan for developing a mathematical description of the model, organized into six consecutive levels. Level 1 involves choosing a concrete bulk theory – 5D gravity with a scalar field – and deriving explicit solutions for the metric and field profile. Level 2 computes the projection kernels via Green's functions. Level 3 performs a quantum-field-theoretic calculation of the vacuum energy on the brane, isolating the interference term. Level 4 analyzes the false vacuum as a regime of constructive interference. Level 5 calculates the rate of nucleation of new universes using Euclidean instantons. Level 6 derives observational predictions (modifications to the fluctuation spectrum, non-Gaussianity, CMB oscillations) and compares them with Planck data and future surveys. Each level specifies the mathematical methods, required resources, timelines, and completion criteria. The document openly invites collaboration from theoretical physicists, mathematicians, and cosmologists. The plan is realistic and can be completed within one to two years with the involvement of appropriate specialists.