Evolutionary Quantum Cosmology: Unification via the Non-Nullity Principle and Mirror Polarity Symmetry on the Unit Interval

Fundamental physics faces persistent paradoxes—gravitational singularities, the vacuum energy catastrophe, and the nature of the dark sector—suggesting an underlying axiomatic failure. We propose the Non-Nullity Principle (NNP): states of absolute absence (mathematical zeros) are physically inaccessible. This work introduces Evolutionary Quantum Cosmology (EQC), a framework that implements the NNP by restricting the physical state space to the Unit Interval (0, 1), centered on the fundamental symmetry axis at 0.5. We formalize this concept within an Effective Field Theory (EFT), where logarithmic potential barriers dynamically prevent access to the boundaries. We introduce Mirror Polarity Symmetry (Z2), which duplicates the Standard Model into Visible (Phi > 0.5) and Mirror (Phi < 0.5) Sectors, rigorously preserving Gauge Invariance. EQC unifies cosmology: the NNP at maximum density requires P = -rho, resolving singularities via stable de Sitter Cores (non-singular Black Holes) and generating the primordial Bounce/Inflation (Hilltop-type). Dark Matter emerges from a primordial asymmetry in the potential, interacting via kinetic mixing (epsilon_min ~ 0.1). Dark Energy is identified with the minimum vacuum energy (m_min^4), with Quintessence dynamics. The model produces testable predictions: r ~ 0.015 (CMB-S4), w0 ~ -0.98, wa ~ 0.02 (Euclid/Rubin), and sigma_SD ~ 10^-41 cm^2 (DARWIN).