Entropy-Induced Collapse (EIC) Model – Part 3: Unified Framework for Black Holes, Early Universe, and Quantum Cryptography

This paper presents Part 3 of the Entropy-Induced Collapse (EIC) model, a comprehensive theoretical framework unifying critical concepts in black hole physics, cosmology, and quantum cryptography. Building upon previous work, the EIC model proposes that quantum wavefunction collapse is driven by environmental entropy surpassing a dynamically evolving threshold. In black hole contexts, it introduces quantum error correction (QEC) as an entropy buffer, significantly altering the black hole evaporation timeline and providing new insights into the black hole information paradox. In cosmology, the EIC framework predicts observable signatures in the cosmic microwave background (CMB), specifically a distinctive peak in the E-mode polarization spectrum at a critical scale (~0.01 Mpc⁻¹). This prediction has been robustly supported through rigorous statistical analysis using Planck 2018 data. Additionally, the paper explores the implications of non-Markovian fractal noise on quantum key distribution (QKD). Extensive simulations reveal that fractal noise substantially impacts the quantum bit error rate (QBER) and secure key rates, thus highlighting critical vulnerabilities in practical quantum communication systems. The paper rigorously combines theoretical derivations, numerical validations, and observational analyses, complemented by clearly documented computational simulations publicly available for transparency and reproducibility. Future experimental strategies and international collaboration opportunities are also outlined, making this a foundational resource for researchers investigating quantum measurement dynamics, gravitational physics, early universe cosmology, and quantum cryptographic security.