Informational Projection Theory. A Three-Parameter Informational Origin of 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.