The Cosmic Egg Cycle: A Continuum Mechanics Framework for Black Hole Cosmology, Universal Reproduction, and the Mechanical Origins of Dark Energy

This paper presents a self-contained, scale-invariant cosmological paradigm that replaces mathematical singularities and abstract vacuum-energy fields with fluid continuum mechanics, coil-spring structural dynamics, and material boundary physics. A key contribution is an explicit proof that the Law of Conservation of Energy is perfectly satisfied at the Big Bang: the total torsional potential energy stored in the spacetime coil at maximum Planck-density winding equals exactly the total kinetic, mass-energy, and radiation energy released after the pressure flip — something the standard singularity model cannot claim. The central contribution is the Cosmic Egg Cycle: a quantitatively grounded, mechanically complete description of universal reproduction. A baby universe gestates inside its parent event horizon for a duration equal to the parent black hole's formation time (predicted: 7.7 billion years, matching observation), then breaches the horizon shell when outward coil-unwind pressure exceeds its tensile strength, and enters the inter-universal vacuum of the multiverse — the deepest vacuum in the scale hierarchy — which provides the accelerating-expansion tailwind mainstream science labels Dark Energy. This single mechanical framework resolves the Big Bang singularity, energy conservation, Dark Energy, Dark Matter, the accelerating expansion transition timing (5.1 billion years ago), and cosmic heat death within one unified cycle, replacing three unexplained constants with a single symmetry principle: wind time equals unwind time. Independent parallel developments by Popławski (2010), Smolin (1992), and Gough (2026) are acknowledged and distinguished. The framework makes specific falsifiable predictions including the 7.7 billion year deceleration phase duration and a complete expansion velocity curve comparable against Type Ia supernova redshift data. Author: Nageswara Rao AnumoluORCID: 0009-0009-1364-0457Email: [email protected]: Independent Researcher, United StatesSubmitted: June 17, 2026 This preprint has not undergone formal peer review. It is submitted to establish intellectual priority and invite academic engagement.