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This paper introduces a novel framework for constructing theories of physics using topos theory, aiming to address deep issues in quantum theories of space and time. It argues that physical theories should be represented in a topos that varies depending on the system and theory-type, moving away from traditional reliance on real or complex numbers. The authors present two formal languages for representing physical systems, emphasizing the potential for generalizing quantum theory without fundamental referen

Author

Hòang Anh

Language

EN