Emergent Origin of the Hubble Tension

This work demonstrates that the so-called “Hubble tension” is not an observational discrepancy but a necessary structural consequence of a closed variational framework.Starting from the universal quartic Ψ–Γ functional, we show that the cosmological expansion rate is an emergent invariant associated with global variational closure. When observational analysis is restricted to a local domain, the loss of global closure forces the emergence of a distinct invariant, producing two effective expansion scales HGH_GHG and HLH_LHL with HL>HGH_L > H_GHL>HG as an unavoidable inequality. No cosmological model in which HHH is defined as a single global function of time can produce this domain-dependent splitting. This establishes a strict No-Go Theorem that excludes ΛCDM, Early Dark Energy, and neutrino-based extensions as possible resolutions of the tension. The Hubble tension is therefore not evidence for additional physics or new parameters, but a calibration effect arising from the projection of a globally constrained structure onto observationally restricted domains. The result is fully parameter-free, requires no dynamical assumptions, and follows directly from the mathematical properties of the closed Ψ–Γ variational functional.