Information Creation: Testing the Inflationary Scenario in a Dynamic Graph Model

This paper presents a precise analysis of the inflationary scenario in a dynamic graph model of the Universe with a variable number of nodes. Exact two-point spin correlations for small N are obtained, and the critical connectivity A_c(N) is computed. It is shown that the original model with the birth of weakly connected nodes does not support a successful inflation: the system reaches the boundary A=1 in finite time without crossing the critical connectivity, failing to terminate inflation. Even with a diagnostic reversal of the internal dynamics sign, the number of e-folds does not exceed N_e ≈ 1.7, which is two orders of magnitude below the required N_e ≳ 60. Several modifications are tested, and none solve the problem without introducing fine-tuned parameters. Five working hypotheses are formulated that could lead to a viable inflation scenario, along with verification methods and falsification criteria. The work establishes a negative result and outlines directions for future research. The term "theory" is used here to denote the research program, not as a claim of confirmation. This work is a sequel to the previous preprint: Petrova, E. N. (2026). Theory of Informational Connections: A Research Program with Partially Proved Results. Zenodo. https://doi.org/10.5281/zenodo.22070095