TY - JOUR AU - Delhom, A. AU - Lobo, I. P. AU - Olmo, G. J. AU - Romero, C. PY - 2020 DA - 2020// TI - Conformally invariant proper time with general non-metricity T2 - Eur. Phys. J. C JO - European Physical Journal C SP - 415 - 11pp VL - 80 IS - 5 PB - Springer AB - We show that the definition of proper time for Weyl-invariant space-times given by Perlick naturally extends to spaces with arbitrary non-metricity. We then discuss the relation between this generalized proper time and the Ehlers-Pirani-Schild definition of time when there is arbitrary non-metricity. Then we show how this generalized proper time suffers from a second clock effect. Assuming that muons are a device to measure this proper time, we constrain the non-metricity tensor on Earth's surface and then elaborate on the feasibility of such assumption. SN - 1434-6044 UR - https://arxiv.org/abs/2001.10633 UR - https://doi.org/10.1140/epjc/s10052-020-7974-y DO - 10.1140/epjc/s10052-020-7974-y LA - English N1 - WOS:000535820900011 ID - Delhom_etal2020 ER -