Entropy, Information and the Internal Observer: Why ΛCDM Cannot Explain the Second Law and Where the Initial Gradient Came From

This work analyzes the concept of entropy in the standard ΛCDM cosmological model and in the Unified Wave Cosmological Model (UWCM). It is shown that ΛCDM does not answer the question of the origin of entropy, the cause of the initial gradient, or the cause of the cyclic dynamics of the Universe, while the UWCM derives both from fundamental principles. The UWCM adopts the von Neumann entropy S=−Tr(ρln⁡ρ)S=−Tr(ρlnρ) as the measure of quantum state uncertainty: the Plast in the "Absolute Zero" state is in a pure state (S=0S=0), and the "Whip Crack" transitions it to a mixed state, generating entropy. The SGW (Superstrained Gravitational Wave) acts as an active boundary that, in the "Whip Return" phase, receives entropy, transforming it into structured information, and stores it until the next cycle. The Maassen–Uffink relation (a generalization of the uncertainty principle for entropy) manifests in the hierarchy of Plast nodes: low entropy in one dimension (coherence) requires high entropy in another (connection configuration space). The growth of Boltzmann–Clausius entropy at the Filling level is a projection of the growth of von Neumann entropy. Falsification conditions for the UWCM are formulated: (1) operational demonstration of an external observer; (2) experimental proof of fundamentally continuous spacetime. H0DN data (April 2026) are presented, confirming the UWCM prediction of dark energy evolution made in December 2025.