2025/07/26 by Khan, Muhammad Ghulam Khuwajah · 1 citation
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph)
paper · doi:10.48550/arxiv.2507.20073
We model space as an elastic membrane and identify its uniform tension Ts with the vacuum energy density of space. The central result is a no geometric sequestering theorem. In any minimal matter vacuum sequester framework where a global constraint cancels constant contributions from the matter sector by adjusting a global variable, a purely geometric unit operator remains intact. Concretely a volume term of the form Ss = - Ts ∫ √(-g) d4 x does not couple to the global variable that enforces the matter cancellation and it survives unchanged in the local field equations. We establish this result within a covariant effective field theory using the background field method. The analysis shows that the coefficient Ts is renormalized by graviton loops and in general by mixed matter-graviton loops and therefore runs with the renormalization scale μ. The running defines an effective cosmological term Ts(μ) that is present even after the matter vacuum energy has been neutralized by the sequester constraint. In particular we find that Ts(μ) sources Gμν = - Ts(μ) gμν + ⋯. The tension term Ts(μ) can then be understood as residual dark energy in the minimal sequestering framework.