On a Common Boundary Geometry for Cosmic Expansion and Quantum State Reduction

Two unresolved problems remain central in modern physics: cosmic acceleration at the macroscopic scale and objective wave function collapse at the microscopic scale. Both are usually treated in separate frameworks and at the level of three-dimensional bulk dynamics. A different possibility is considered here. The same two problems are treated in terms of two-dimensional boundary geometry through a scale-invariant master equation. Within this construction, cosmic expansion and quantum state reduction are represented as distinct regimes of a common boundary-based framework.

Information transfer is written as a boundary-crossing process governed by geometric scale, transition frequency, and a dimensionless transmission efficiency. The macroscopic limit is associated with horizon-scale boundary saturation. The microscopic limit is associated with radiative extraction through a finite decoupling surface. In the reduced boundary law, bulk parameters such as G, M, ħ, and kB enter the intermediate description but cancel in the final form. At the microscopic level, comparison with Quantum Electrodynamics yields an explicit ratio between the realized QED rate and the proposed boundary ceiling. The framework is treated as a falsifiable boundary program: if the same reduced law reproduces both the horizon-scale kinematic structure and the microscopic radiative scaling, then cosmic expansion and quantum state reduction may be interpreted as distinct regimes of a common boundary geometry.