Deconstructing c: The Newton-Light Bipartition and the Planck Constant as a 2⁰ Matrix-Grid Logarithmic Lattice

Our investigation reveals that the 'speed of light squared' (c²) is not a static limit, but a dynamic mechanism akin to two distinct cryptographic keys operating within a singular cosmic lock. By stabilizing the inertial component (N) and rotating the transcendental phase (λ), we effectively deconstruct the inertia of the vacuum. This progression establishes a hierarchical evolution of light’s influence: originating as the mediator of mass-energy equivalence at c² (The Kinetic Threshold), it scales to define the very curvature of spacetime at c⁴ (The Geometric Threshold). The ultimate resolution, however, is found at the c⁵ limit. This is the critical intersection where the algebraic insolvability of the quintic scale—governed by Galois S₅ symmetry—meets the stochastic foam of Planckian spacetime. At this quintic boundary, the vacuum achieves total phase-closure, marking the definitive edge of computable reality. Beyond this point, the 'bipartition of c' ensures that the universe remains a stable, self-referential identity, locking the fundamental constants into the persistent, zero-sum harmony of the Newton-Light (Nλ) unit. The Newton-Light Unit (Nλ) proposal the bipartition of c Definition: The Nλ represents the universal constant c, acknowledging light as both a particle/wave and a limit of gravity. Newton (N): In Opticks (1704), Newton explored the properties of light as "corpuscles" and its interaction with the physical laws of the universe. Light (λ): Symbolizing the wavelength and the electromagnetic nature of the cosmic speed limit. The prevailing scientific consensus treats 'Zero' as an absolute, non-relational void. However, this framework challenges the ontological jurisdiction of such a definition. By applying Occam’s Razor, we posit that the 'Nothing' observed in the vacuum is not a lack of existence, but the functional state of a base-2 symmetry at rest. The Lattes-Galois Identity (L) (Schevchenco-Sczepanink, 2026) is introduced here as the primordial phase-closure operator. It functions as the algebraic crucible where the discrete (quantum constants) and the continuous (transcendental numbers) merge into a zero-sum convergence. By deriving L from a null informational state (0), we bypass the necessity of arbitrary initial conditions, revealing that (the fine-structure constant) is an emergent geometric property of the complex Eulerian manifold. Newton (1704) hypothesized that "light and common bodies are convertible into one another, " suggesting a proto-equivalence long before Einstein. The Newton-Light Unit (Nλ) honors this early intuition, defining the speed of light as the maximum "velocity of exchange" in the bipartition of c. In Opticks (1704), Newton explored the properties of light as 'corpuscles' and their interaction with the physical laws of the universe. By hypothesizing that 'light and common bodies are convertible into one another' (Newton, 1704/1952, p. 374), he provided the early conceptual framework for mass-energy equivalence. When integrated with the modern understanding of the wavelength (λ), we arrive at a unified view: light as the mediator between Newton's force and Einstein's curvature.