Conventional communication transmits content via carriers and is constrained by distance and bandwidth. This paper proposes a theory in which information is not a property of the carrier but a decidable structure of differences, i.e., a definition, and in which communication transmits not content but triggers. Both ends preload the same seed; a trigger carries only event occurrence and index selection; during runtime each end generates locally, and distance does not enter the equations. The theory takes the lock structure (S, N, R, Φ) as the minimal decidable unit, uses same-source degree D_same to characterize definitional agreement between two ends, and uses decision distance D_judge to characterize local readout reliability. Three conditions for zero-communication are given: seed same-source, trigger synchronization, and local item-by-item verification. On this basis, four functional mechanisms—communication, storage, computation, and control—and two compositional structures—cross and nest—are established. Depth, cross, and trigger constraints are unified into an upper-bound form of the difference measure Δ = −ln(D_same), together with a joint feasible region and degradation rules. The paper also states its boundaries: the unification of the three budgets is formal rather than physical; a positive spectral gap is necessary but not sufficient for convergence; topological protection currently holds only for storage. The framework offers a theoretical alternative for interstellar-scale communication with low bandwidth and high synchronization requirements, replacing content transmission with definitional preloading.
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向洵 向 (2026) studied this question.
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