Emergence of Physical Constants from the Informational Ω-Background of Spacetime

This paper derives the fundamental physical constants from a projection-based informational framework in which spacetime and its fields emerge from constraint-governed realization of identity structures defined in a non-metric domain, Ω. In this ontology, identity signatures \sigma\ \in\ \Omega are timeless latent configurations, and projection Π: Ω → M is governed by compatibility with constraint classes C ⊂ Ωⁿ. The projection process is characterized by intrinsic latency τ, curvature κ, and an impedance tensor Zμν, which together define the emergent geometry of observable physics. Constants such as Planck’s constant ℏ, Newton’s constant G, vacuum permittivity ε₀, permeability μ₀, elementary charge e, and the fine-structure constant α are shown to arise as invariant features of constraint-saturated projection. ℏ corresponds to minimal τ⋅κ coupling, G quantifies curvature response to projection strain, and ε₀, μ₀ represent electric and magnetic admittances of projection. The fine-structure constant emerges as a ratio of structural asymmetry to projection granularity. These results reinterpret fundamental constants as necessary consequences of the informational structure underlying spacetime and not as empirical parameters. The framework unifies dimensional and dimensionless constants within a single ontological model, suggesting that the laws of physics reflect structural limits of admissible identity realization rather than imposed dynamical axioms.