EL Science: Unified Cosmology Framework — Dynamic Dark Energy, Cyclic Structure, and Nonlinear Attractor Dynamics

EL Science is an exploratory cosmological framework developed across three volumes. Volume I introduces a dynamic interpretation of dark energy through logarithmic and exponential cosmological structure. Volume II extends the framework into structural cyclic cosmology, including asymmetric cosmic evolution, convergence-boundary interpretation, vacuum-collapse-inspired terminal dynamics, and gravitational phase-transition hypotheses. Volume III adds empirical confrontation and nonlinear dynamical-system analysis, including Pantheon+ and DESI-related observational discussion, corrected bounded four-variable dynamics, Hopf bifurcation, stable fixed points, and robust cyclic attractor behavior. This master record unifies the three-volume EL Science framework into one canonical archive. The work is presented as exploratory and phenomenological, not as a finalized replacement for ΛCDM or a completed physical theory. Its purpose is to preserve the full development of the framework, including equations, tests, derivations, limitations, and future research directions.