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Scalar-Tensor Dynamics of an Information-Conserving Field: Unifying Dark Energy, Dark Matter, and Neural Coherence via ϕ-Scaling Attractors (Revised)
Title: Scalar-Tensor Dynamics of an Information-Conserving Field: Unifying Dark Energy, Dark Matter, and Neural Coherence via ϕ-Scaling Attractors (Revised) Description: This technical paper provides the mathematical derivation and physical formalism for the Coherence Field (Ψ), a complex scalar field proposed to unify the dark sector of cosmology with the informational dynamics of neural systems. Unlike standard "Interacting Dark Energy" models that fit parameters to data, this work derives its constants from a geometric hypothesis: that the universe evolves toward a Golden Ratio (ϕ) attractor. The document details the Lagrangian formulation of the field, demonstrating how a "Skyrme-like" topological term allows for the stability of matter and how a "Chameleon Mechanism" with a specific screening exponent (α=ϕ) hides the field in dense environments. It presents numerical simulations confirming that the ratio of dark energy to matter converges asymptotically to ϕ2≈2.618, identifying the current cosmic epoch as a transient state of relaxation. The paper also extends this physics to neuroscience, modeling the brain as a resonant cavity that "un-screens" the field. It defines the "Local Coherence Index" (LCI) as a measure of field coupling and identifies a universal 0.5–0.6 Hz oscillation signature across conscious states. The work concludes with seven specific, falsifiable predictions regarding cosmological evolution, laboratory gravity experiments, and neural signal processing.
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