An upper limit to the variation in the fundamental constants at redshift z = 5.2

TL;DR

This study uses high-redshift galaxy observations to set the tightest limits yet on how much fundamental constants like alpha and mu could have varied over cosmic history, constraining new physics.

Contribution

It provides the first constraints on the variation of the combined constant F at z=5.2 using molecular and atomic line observations, extending limits to earlier cosmic times.

Findings

Limit on dFF < 2x10^-5 at z=5.2

Limit on mu variation dmm < 2x10^-7 at z=5.2

Tightest constraint on alpha variation at early epochs

Abstract

Aims. We constrain a hypothetical variation in the fundamental physical constants over the course of cosmic time. Methods. We use unique observations of the CO(7-6) rotational line and the [CI] 3P_2 - 3P_1 fine-structure line towards a lensed galaxy at redshift z = 5.2 to constrain temporal variations in the constant F = alpha^2/mu, where mu is the electron-to-proton mass ratio and alpha is the fine-structure constant. The relative change in F between z = 0 and z = 5.2, dFF = (F_obs - F_lab)/F_lab, is estimated from the radial velocity offset, dV = V_rot - V_fs, between the rotational transitions in carbon monoxide and the fine-structure transition in atomic carbon. Results. We find a conservative value dV = 1 +/- 5 km/s (1sigma C.L.), which when interpreted in terms of dFF gives dFF < 2x10^-5. Independent methods restrict the mu-variations at the level of dmm < 1x10^-7 at z = 0.7 (look-back time t_z0.7 = 6.4 Gyr). Assuming that temporal variations in mu, if any, are linear, this leads to an upper limit on dmm < 2x10^-7 at z = 5.2 (t_z5.2 = 12.9 Gyr). From both constraints on dFF and dmm, one obtains for the relative change in alpha the estimate daa < 8x10^-6, which is at present the tightest limit on daa at early cosmological epochs.