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 a 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 characteristic
timescale, can accommodate the observed scales 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. 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 is left for future work.