Observational Constraints on the Adiabatic Geometric Leveling Eective Field Theory from Cosmic Void Weak Lensing

We derive and apply observational constraints on the Adiabatic Geometric Leveling(AGL) eective eld theory [1] using published measurements of weak gravitational lens-ing around cosmic voids. The AGL model predicts a scale-factor-dependent amplication ofthe void lensing signal, κAGL(θ) = μeff (a) κΛCDM(θ), where μeff (a) = 1+2nQ0/(3ΩM ) an+3 isderived from the separate-universe approximation applied to Postulate 6 of the AGL frame-work. We show that Q0 = 0.70 is compatible with Big Bang Nucleosynthesis constraints(¯ρa(aBBN)/ρrad ≈ 7 × 10−46 ≪ 2.3%) because the condensate density scales as an and isnegligible at early times. Comparing AGL predictions against the stacked void lensing mea-surements of Clampitt & Jain (2015) [3] (N ≈ 20 000 voids, SDSS DR7, z ∈ [0.16, 0.37]) andHamaus et al. (2016) [4] (N = 3 228 voids, BOSS DR11, z ∈ [0.43, 0.70]), we nd that bothdatasets are consistent with ΛCDM (μbest ≈ 1.004 in both cases). This yields 95% upperlimits of μAGL(z = 0.26) < 1.095 and μAGL(z = 0.57) < 1.146, translating to Q0 < 0.107for n = 1 and Q0 < 0.361 for n = 0.25. The ducial parameters of a companion analysis(Q0 = 0.70, n = 1) exceed the 95% limit; Q0 = 0.70 with n = 0.25 also exceeds it marginally.