Influence of the Infinite-Dimensional Multiverse Model (IDM) on the Fine-Tuning Problem of Fundamental Constants

This paper analyzes the influence of the Infinite-Dimensional Multiverse Model (IDM) on the fine-tuning problem of fundamental constants. Unlike the anthropic principle (passive statement) and the standard multiverse (appeal to randomness), IDM proposes a dynamic mechanism: the values of constants are evolutionary attractors in the infinite-dimensional parameter space of the multiverse. They are formed under the influence of an infinite number of weak interactions with neighboring universes (Aₙ, Bₙ, n → ∞). From this hypothesis, four specific testable predictions are derived: 1) statistically significant correlations between fundamental constants, indicating the existence of a low-dimensional attractor; 2) extremely weak spacetime variations of constants, correlated with the large-scale structure of the Universe; 3) anomalies in the cosmic microwave background (CMB) spectrum at large angular scales, correlated with directions toward presumed neighboring universes; 4) possible (very weak) dynamics of the cosmological constant Λ, distinguishing IDM from the standard ΛCDM model. The key advantage of IDM is that it provides falsifiable predictions, transferring the fine-tuning problem from the realm of metaphysical debate to the realm of empirical testing. The test method is the "cognitive echo sounder": indirect verification through the search for markers accessible in our Universe. If the predictions are confirmed, IDM will receive empirical support; if not, the model must be rejected or modified.