Cosmic acceleration from nothing


Good M.R.R. Linder E.V.
October 2025Springer Nature

European Physical Journal C
2025#85Issue 10

We show that if the universe began as a vacuum fluctuation instead of a singular Big Bang, it must undergo at least one period of cosmic acceleration. This is required by a “cosmological sum rule” derived using the Schwarzian form of the Friedmann equations. We discuss possible connections to conformal and Möbius transformations, and also compute that the best fit present cosmic data is consistent with the necessary crossing of the Schwarzian through zero having already occurred (while any late time crossing would not yet have happened in a ΛCDM cosmology).



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Physics Department, Energetic Cosmos Laboratory, Nazarbayev University, Astana, 010000, Kazakhstan
Leung Center for Cosmology and Particle Astrophysics, National Taiwan University, Taipei, 10617, Taiwan
Berkeley Center for Cosmological Physics, Berkeley Lab, University of California, Berkeley, 94720, CA, United States

Physics Department
Leung Center for Cosmology and Particle Astrophysics
Berkeley Center for Cosmological Physics

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