Universal Functional Coherence Theory (UFCT): A Variational Principle for the Dynamic and Unified Description of the Universe
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| Format: | Recurso digital |
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2025
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| author | Thimoteo, Mário César Garms |
| author_facet | Thimoteo, Mário César Garms |
| contents | <p>This work presents the Universal Functional Coherence Theory (UFCT), a unified formulation of fundamental physics based on the principle of conservation of functional coherence across all physical systems, from quantum to cosmological scales. The theory is founded on a covariant and dimensionless integral postulate stating that the universe executes physical processes in a quantized and invariant manner, characterized by the minimum quantum of functional execution Ξ₀ = ℓₚ³·tₚ, where ℓₚ and tₚ are the Planck length and Planck time, respectively.</p> <p> </p> <p>The functional field χ(x) = (ℛ + η)/ψ integrates, in a single state variable, geometry (ℛ), topology (η), and dissipation (ψ). This formulation allows, without ad hoc assumptions, the derivation of SU(2) and SU(3) gauge symmetries, the functional H-theorem (irreversibility), and the emergence of the space-time metric from purely variational principles. UFCT naturally explains why the universe is not static but a dynamic process in which functional coherence is distributed, degraded, and reorganized over time and across physical scales.</p> <p> </p> <p>Experimental validation is achieved in three independent domains — cosmic microwave background radiation (Planck, ℓ = 495), high-energy neutrino flux (IceCube, 6.33 PeV), and electron neutrino effective mass (KATRIN, 0.029 eV) — all in agreement with parameter-free theoretical predictions, with an average relative error below 0.03% and R² ≥ 0.998. The model is operationally falsifiable: any deviation greater than 0.1% in the functional invariance ∫Δχ² d⁴x = Ξ₀ would immediately refute the theory.</p> <p> </p> <p>The article includes novel predictions for functional cosmology (accelerated expansion without a cosmological constant), functional quantization (√Ξ₀ as a universal granularity), and extreme regimes (LHC collisions, neutron stars, gravitational waves), all with clear protocols for experimental verification. Beyond unifying gravitation, quantum physics, and thermodynamics under a single principle, UFCT establishes an ongoing scientific program combining rigorous theoretical foundations, computational reproducibility, and observational applications.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16791761 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Universal Functional Coherence Theory (UFCT): A Variational Principle for the Dynamic and Unified Description of the Universe Thimoteo, Mário César Garms Universal Functional Coherence Theory; functional coherence; covariant integral postulate; fundamental constant Ξ₀; emergent gauge symmetries; functional cosmology; high-energy neutrinos; neutrino mass; functional quantization; space-time dynamics <p>This work presents the Universal Functional Coherence Theory (UFCT), a unified formulation of fundamental physics based on the principle of conservation of functional coherence across all physical systems, from quantum to cosmological scales. The theory is founded on a covariant and dimensionless integral postulate stating that the universe executes physical processes in a quantized and invariant manner, characterized by the minimum quantum of functional execution Ξ₀ = ℓₚ³·tₚ, where ℓₚ and tₚ are the Planck length and Planck time, respectively.</p> <p> </p> <p>The functional field χ(x) = (ℛ + η)/ψ integrates, in a single state variable, geometry (ℛ), topology (η), and dissipation (ψ). This formulation allows, without ad hoc assumptions, the derivation of SU(2) and SU(3) gauge symmetries, the functional H-theorem (irreversibility), and the emergence of the space-time metric from purely variational principles. UFCT naturally explains why the universe is not static but a dynamic process in which functional coherence is distributed, degraded, and reorganized over time and across physical scales.</p> <p> </p> <p>Experimental validation is achieved in three independent domains — cosmic microwave background radiation (Planck, ℓ = 495), high-energy neutrino flux (IceCube, 6.33 PeV), and electron neutrino effective mass (KATRIN, 0.029 eV) — all in agreement with parameter-free theoretical predictions, with an average relative error below 0.03% and R² ≥ 0.998. The model is operationally falsifiable: any deviation greater than 0.1% in the functional invariance ∫Δχ² d⁴x = Ξ₀ would immediately refute the theory.</p> <p> </p> <p>The article includes novel predictions for functional cosmology (accelerated expansion without a cosmological constant), functional quantization (√Ξ₀ as a universal granularity), and extreme regimes (LHC collisions, neutron stars, gravitational waves), all with clear protocols for experimental verification. Beyond unifying gravitation, quantum physics, and thermodynamics under a single principle, UFCT establishes an ongoing scientific program combining rigorous theoretical foundations, computational reproducibility, and observational applications.</p> |
| title | Universal Functional Coherence Theory (UFCT): A Variational Principle for the Dynamic and Unified Description of the Universe |
| topic | Universal Functional Coherence Theory; functional coherence; covariant integral postulate; fundamental constant Ξ₀; emergent gauge symmetries; functional cosmology; high-energy neutrinos; neutrino mass; functional quantization; space-time dynamics |
| url | https://doi.org/10.5281/zenodo.16791761 |