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At least 613 records · Page 34

Superhorizon isocurvature fluctuations relax tensions

Here, we present a new class of models that have potential to alleviate tensions present in the cosmological data today. We postulate about variation in the sound horizon scale on superhorizon scales, i.e., on scales that are larger than that of the present observable low-redshift Universe (≳ 1Gpc) while at the same time smaller than the largest scales probed by the cosmic microwave background (CMB) (≲ 10Gpc). In this scenario, CMB peaks are naturally smoothed as preferred by the Planck data, while at the same time the low-redshift baryon acoustic oscillation calibration is partially decoupled from the CMB. Taking superhorizon variations in baryon fraction as an example and using approximate modeling, we find improvement in the best fit Planck power spectrum model Δχ 2 ~ 6 for 1 extra degree of freedom with the relevant extension parameter 10 3 σ b = 2.10 ± 0.60, implying about 10% variations in baryon fraction across the Universe. At the same time, S 8 drops by about 1 sigma, easing tension with weak lensing surveys. We find that the combination of Planck 2018 data, eBOSS BAO data, and Riess et al. distance ladder Hubble parameter determination produce a satisfactory fit in our model if we allow for a phantom dark energy equation of state.

79 ASTRONOMY AND ASTROPHYSICS↗

Particle-number distribution in large fluctuations at the tip of branching random walks

Here, we investigate properties of the particle distribution near the tip of one-dimensional branching random walks at large times t , focusing on unusual realizations in which the rightmost lead particle is very far ahead of its expected position, but still within a distance smaller than the diffusion radius ~$\sqrt{t}$. Our approach consists in a study of the generating function $G_{Δx}(λ) = Σ_n$ ${λ^n}p_n(Δx)$ for the probabilities $p_n(Δx)$ of observing $\textit{n}$ particles in an interval of given size $Δ\textit{x}$ from the lead particle to its left, fixing the position of the latter. This generating function can be expressed with the help of functions solving the Fisher-Kolmogorov-Petrovsky-Piscounov (FKPP) equation with suitable initial conditions. In the infinite-time and large-$Δ\textit{x}$ limits, we find that the mean number of particles in the interval grows exponentially with $Δ\textit{x}$, and that the generating function obeys a nontrivial scaling law, depending on $Δ\textit{x}$ and λ through the combined variable $[Δx — f(λ)]^3 / Δx^2$, where $\textit{f}$(λ) ≡ – ln(1 – λ) – ln [– ln(1 – λ)]. From this property, one may conjecture that the growth of the typical particle number with the size of the interval is slower than exponential, but, surprisingly enough, only by a subleading factor at large Δ$\textit{x}$. The scaling we argue is consistent with results from a numerical integration of the FKPP equation.

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS↗

Interferometric Constraints on Spacelike Coherent Rotational Fluctuations

Precision measurements are reported of the cross-spectrum of rotationally induced differential position displacements in a pair of colocated 39 m long, high-power Michelson interferometers. One arm of each interferometer is bent 90° near its midpoint to obtain sensitivity to rotations about an axis normal to the plane of the instrument. The instrument achieves quantum-limited sensing of spatially correlated signals in a broad frequency band extending beyond the 3.9-MHz inverse light travel time of the apparatus. For stationary signals with bandwidth Δf>10 kHz, the sensitivity to rotation-induced strain h of classical or exotic origin surpasses CSDδh

46 INSTRUMENTATION RELATED TO NUCLEAR SCIENCE AND ↗