Denissenya, MikhailLinder, Eric V.Shafieloo, Arman2019-07-202019-07-202018-02-13Denissenya, M., Linder, E.V. & Shafieloo, A. (2018). Cosmic Curvature Tested Directly from Observations. The 2nd international conference of the Energetic Cosmos Laboratory (ECL) at Nazarbayev University. Retrieved from https://arxiv.org/pdf/1802.04816.pdfhttp://nur.nu.edu.kz/handle/123456789/4030Energetic Cosmos Laboratory. ECL PublicationCosmic spatial curvature is a fundamental geometric quantity of the Universe. We investigate a model independent, geometric approach to measure spatial curvature directly from observations,without any derivatives of data. This employs strong lensing time delays and supernova distance measurements to measure the curvature itself, rather than just testing consistency with flatness.We define two curvature estimators, with differing error propagation characteristics, that can cross-check each other, and also show how they can be used to map the curvature in redshift slices, totest constancy of curvature as required by the Robertson-Walker metric. Simulating realizations ofredshift distributions and distance measurements of lenses and sources, we estimate uncertainties onthe curvature enabled by next generation measurements. Theresults indicate that the model independent methods, using only geometry without assuming forms for the energy density constituents,can determine the curvature at the∼6×10^−3 level.enAttribution-NonCommercial-ShareAlike 3.0 United StatesThe 2nd international conference of the Energetic Cosmos Laboratory (ECL)ECL19Energetic Cosmos Laboratory (ECL)Article