A bstract We explore the notion of approximate global symmetries in quantum field theory and gravity. show that a variety conjectures about gravity, including weak gravity conjecture, distance magnetic axion versions conjecture can be motivated by assumption generalized should strongly broken within context low-energy effective theory, i.e. at characteristic scale less than Planck where effects...

A chemical universe consists of a set X of chemical compounds and a set of reactions between them. Each reaction transforms a finite (small) set of educts in a small set of products. Reactions thus form directed hyperedges on X. Since X can be infinite, it is of interest to consider X not only for a combinatorial point of view but also as a topological construct. Here we argue that generalized ...

Nonlocal cross-diffusion systems on the torus, arising in population dynamics and neuroscience, are analyzed. The global existence of weak solutions, weak–strong uniqueness, localization limit proved. kernels assumed to be detailed balance. proofs based entropy estimates coming from Shannon-type Rao-type entropies, while uniqueness result follows relative method. theorems hold for nondifferenti...