Informational Projection Theory: A Three–Parameter Informational Framework for Quantum, Gauge, and Cosmological Constants

We develop a formulation of the Informational Projection Theory (IPT), in which physical reality is described as the real projection of a complex informational field I = IR + i II . On an informational manifold endowed with an informational measure, a projection map, and a closed curvature relation, the dynamics are governed by a minimal local Lagrangian with three independent informational parameters (α, β, η). We show that, once locality, Lorentz invariance, gauge invariance and a simple exchange structure between open and closed information are imposed, the quadratic part of the action for (IR, G = dII ) is essentially fixed to this three–parameter form. In the real projection, G reproduces the structure of an electromagnetic–type field strength, the metric variation yields an Einstein–like coupling to geometry, and closed loops in the (IR, II ) phase space provide a natural arena for an action quantization condition. In homogeneous cosmologies, a late–time choice of (α, β, η), together with a small number of derived phenomenological scales, can organize and illustratively accommodate the observed ranges of the Hubble constant H0, the effective cosmological constant Λeff , the electroweak mixing angle, the strong coupling at the Z pole, and de Sitter horizon quantities within current uncertainties, without requiring extreme fine tuning. The closed informational curvature and the projection efficiency offer simple interpretations for dark matter and dark energy, and suggest possible links to inflation, CMB anisotropies, black– hole information, and CP asymmetry. These connections are exploratory; a more detailed comparison with data and a microscopic derivation of the phenomenological mappings are left for future work.