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Metric Expansion from Microscopic Dynamics in an Inhomogeneous Universe
Authors:Sascha Vongehr
Affiliation:Department of Philosophy, Nanjing University, Nanjing 210093, ChinaNational Key Laboratory of Solid-State Microstructures, Department of Materials Science and Engineering, Nanjing University, Nanjing 210093, China
Abstract:
Theories with ingredients like the Higgs mechanism, gravitons, and inflatonfields rejuvenate the idea that relativistic kinematics is dynamicallyemergent. Eternal inflation treats the Hubble constant H as depending onlocation. Microscopic dynamics implies that H is over much smaller lengthsthan pocket universes to be understood as a local space reproduction rate.We illustrate this via discussing that even exponential inflation inTeV-gravity is slow on the relevant time scale. In our on small scalesinhomogeneous cosmos, a reproduction rate H depends on position. We therefore discuss Einstein-Strauss vacuoles and a Lindquist-Wheeler like lattice to connect the local rate properly with the scaling of an expanding cosmos. Consistency allows H to locally depend on Weyl curvature similar to vacuum polarization. We derive a proportionality constant known from Kepler's third law and discuss the implications for the finiteness of the cosmological constant.
Keywords:general relativity   metric expansion   black hole   infinite Lindquist-Wheeler lattice  
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