The Multi-Dimensional Tensor Framework (nD) of The Core Algebraic Kernels: Meta-Axioms (MA) and Meta-Transitions (MT) Breaking the Bivalent Lattice Boundaries

This paper establishing the high-dimensional formal expansion of Meta-Axioms (MA) and Meta-Transitions (MT), advancing the ungrounded 1D scalar kernels into continuous, symmetric tensor spaces spanning the extended real number line R̄ⁿ. Shifting away from the static metrics of scalar limits, we address the non-linear, multi-layered layer configurations through which nature manifests its contextual dimensions. By formalizing the operational continuum operator OPw(a, b) and directional dimension-reduction metrics, we demonstrate that prior informational networks natively decouple from traditional discrete constraints and ascend to differentiable tensor fields. This framework unifies multi-context evaluations with irreversible process dynamics, enabling direct, un-degraded computational execution over continuous physical magnitudes without boundary saturation or systemic semantic explosion.