Holography According to the Theory of Universal Functional Coherence

This work develops the holographic principle within the framework of the Theory of Universal Functional Coherence (TUFC). While traditional approaches required calibration factors and specific spacetime geometries such as AdS, TUFC demonstrates that holography is a universal and inevitable consequence of functional dynamics. The coherence field χ and the adaptive field ψ, governed by the Law of Becoming ([T⁻³]) and the Law of Being ([T⁻²]), establish a closed dimensional and ontological grammar. From this structure, entropy naturally reduces to an area law, the Bekenstein bound emerges without external assumptions, and the effective functional metric ρ_func = χ²/ψ unifies gravitation, information, and spacetime geometry. The theory explains the arrow of time, the holographic encoding of information, and the differentiation of baryonic and dark matter as dynamic regimes of χ–ψ. It also provides falsifiable predictions, including cosmic microwave background multipoles (ℓ ≈ 31, 62, 124, 2197) as signatures of functional coherence. TUFC thus elevates holography from a conjecture to a universal law of physics, grounded in irreversibility and coherence.