Instantaneous Solution Propagation in Confined Acoustic Spaces: Toward a Closed-Space Model

This work introduces the concept of instantaneous solutions within the framework of Closed-Surface Theory. A closed-surface conserved system maintains its fundamental variables (volume, pressure, temperature, and composition) in a constant state, thereby ensuring stability. When an external signal A(t)A(t)A(t) enters such a conserved domain, it is immediately encoded into an internal signal A’(t)A’(t)A’(t) in a strict one-to-one correspondence. No dispersion into alternative solutions occurs, because the conservation enforced by the closed boundary eliminates degrees of freedom. The sharper the conservation, the clearer the encoded result. This principle provides a structural explanation for how closed-surface systems guarantee precise signal transformation, forming a foundation for physical, biological, and cognitive processes.