Browsing by Author "Tapia-Arellano, Natalia"

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    The Laplace Transform of Quantum Gravity
    Gamboa, Jorge; Méndez, Fernando; Tapia-Arellano, Natalia (MDPI, 2022-02-12)
    Following analogies with relativistic point particles and Schild strings, we show that the Einstein gravity and its strong coupling regime (or the Planck mass going to zero) are related to each other through a Laplace transform. The Feynman propagator of gravity in the strong coupling regime satisfies a functional diffusion equation in the three-metric space with the evolution parameter being the volume of spacetime. We conjecture that the relationship between both regimes is consistent with the existence of an evolution operator in which time is replaced by the volume of spacetime.
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    Measuring solar neutrinos over gigayear timescales with paleo detectors
    Tapia-Arellano, Natalia; Horiuchi, Shunsaku (2021-06-15)
    Measuring the solar neutrino flux over gigayear timescales could provide a new window to inform the solar standard model as well as studies of the Earth's long-term climate. We demonstrate the feasibility of measuring the time evolution of the B-8 solar neutrino flux over gigayear timescales using paleo detectors, naturally occurring minerals which record neutrino-induced recoil tracks over geological times. We explore suitable minerals and identify track lengths of 15-30 nm to be a practical window to detect the B-8 solar neutrino flux. A collection of ultraradiopure minerals of different ages, each some 0.1 kg by mass, can be used to probe the rise of the B-8 solar neutrino flux over the recent gigayear of the Sun's evolution. We also show that the time-integrated tracks are sensitive to models of the Sun.