Structural Non-Nullity and the Leibniz Question

The classical Leibnizian question—Why is there something rather than nothing?—implicitly assumes that absolute nothingness is a reachable state within the space of possibilities. Within the Theory of Axiomatic Necessity (TNA), we demonstrate the Structural Non-Nullity Theorem, proving that the empty set $\varnothing$ is not an element of the state space $\Omega$. Consequently, nothingness is not a possible state of any system. This shift redirects the metaphysical inquiry from the problem of existence versus non-existence toward the competition between alternative structural domains. By establishing that dynamics are subordinate to a pre-existing geometric manifold, the framework provides a formal basis for structural necessity as a prerequisite for any dynamical description.