AbstractThe third release (Vol. III, 2025.11) consolidates the Magnetogravitational Cosmology (CMG–LCE) framework by defining quantitative falsifiability criteria across astrophysical and laboratory domains.The work introduces measurable thresholds for magnetogravitational coupling — derived from galactic rotation anomalies (LOFAR–SPARC–ALMA datasets) and coherent plasma experiments (PLASMANT, UAntwerpen) — providing an empirically testable bridge between electromagnetism and gravitation. Scientific ObjectiveTo establish whether large-scale magnetic coherence can influence local gravitational curvature, as predicted by the Coherence–Energy Law (LCE): ρ̇Ψ = –μ Ψ̇ Ψ̈.Validation criteria include correlation strength (ρ > 0.7, p < 0.01), spatial alignment (Δφ < 20°), and cross-dataset reproducibility. The laboratory component proposes detection of sub-thermal energy deviations (ΔE/E ≈ 10⁻⁴) under high-Q coherent plasma conditions. Purpose of this updateThis version supersedes Vol. I–II by integrating theoretical, statistical and experimental components into a single falsifiable model.It aligns the CMG–LCE framework with peer-review methodology, enabling independent verification by academic and institutional teams (LOFAR, ESA/NASA, PLASMANT). All datasets, code and supplementary briefs (LOFAR, PLASMANT, 3I/ATLAS) are available through DOI 10.5281/zenodo.17376891 and https://github.com/EugenioCMG/CMG_LCE. ATLAS Observational Update — October 2025 Following recent multi-source reports (NASA, United Nations, Teide Observatory), the interstellar object 3I/ATLAS has exhibited several non-linear anomalies — including trajectory deceleration, tail reversal, and the detection of nickel carbonyl (Ni(CO)₄) emission — which align with the magnetogravitational coupling predicted by the CMG–LCE framework. These anomalies are coherently interpreted as manifestations of Ψ-field resonance between the interstellar plasma and the heliospheric environment, according to the Coherence–Energy Law: Coherence–Energy Law (LCE): d(rho_Psi)/dt = - mu * (dPsi/dt) * (d2Psi/dt2) Under this formulation, coherent electromagnetic oscillations transfer part of their energy into vacuum curvature, producing the measurable magnetogravitational feedback observed in the ATLAS data.This phenomenon may constitute the first naturally occurring example of large-scale vacuum–plasma coherence, providing macro-level falsifiability for the CMG–LCE model. Scientific SignificanceThe 3I/ATLAS event demonstrates that magnetogravitational coherence is not restricted to laboratory conditions but can emerge spontaneously within interstellar plasma environments.Its behavior — particularly the Ni(CO)₄ emission and reversible jet orientation — supports the hypothesis that coherent magnetic structures can locally modulate gravitational tension, bridging electromagnetism and curvature. Institutional and Experimental RelevanceThis update strengthens the scientific case for coordinated observation and replication involving: NASA / ESA (solar–interstellar field coupling, Parker Solar Probe, Hera Mission) PLASMANT Laboratory (UAntwerpen) (controlled plasma coherence and ΔE/E deviation tests) LOFAR–SPARC–ALMA datasets (galactic-scale correlations of magnetic and rotational parameters) Institutional Collaboration Briefs (Included Files) This release also includes two formal scientific collaboration briefs that extend the falsifiability framework of the CMG–LCE model toward institutional-level validation: NASA–ESA Solar–Comet Magnetic Alignment TestProposal for correlation of magnetic-field data from Solar Orbiter and Parker Solar Probe with the heliospheric coupling behavior observed in the interstellar object 3I/ATLAS.This brief defines the macro-scale falsifiability protocol for detecting Ψ-field resonance effects across solar–interstellar domains. NOIRLab–Keck–Gemini Spectral Re-analysis InvitationInvitation to re-examine high-resolution spectra of 3I/ATLAS to confirm or refute the reported Ni(CO)₄ emission signatures under coherent plasma conditions.The analysis aims to test whether magnetic ordering can induce anomalous molecular formation, as predicted by the Coherence–Energy Law (LCE):d(rho_Psi)/dt = - mu * (dPsi/dt) * (d2Psi/dt2) Both briefs are publicly released as open collaboration proposals to encourage independent empirical verification of the CMG–LCE hypothesis using existing observational and experimental infrastructure. Together, these initiatives define a unified macro–micro falsifiability framework, enabling direct empirical verification of the CMG–LCE theory.

This v4.0 release presents the complete mathematical foundation of Magnetogravitational Cosmology (CMG–LCE), unifying GR, Maxwell, and vacuum memory via the scalar/tensorial field Ψ. The Coherence–Energy Law (LCE) governs energy transfer between coherence and curvature. The constitutive tensor couples geometry, EM, and memory. Gauge group G = Diff(M) ⋉ U(1)_ext, memory operator D_t(Ψ) = Ḋ + τΨ̈, and functorial field theory CMG: FibExt(M) → GeomCat_Ψ are rigorously defined. Falsifiable predictions: galactic rotation Δφ < 20°, plasma energy deviation ΔE/E ≈ 10⁻⁴, dynamic Λ(t) = 8πG ρ_Ψ(t). Includes 6 open mathematical problems for collaboration. Builds on v3 accepted in Non-standard Cosmology (v1). CC BY 4.0.