4 papers
Spacetimes via Continuous posets: Old foundations and new developments
Ettore Minguzzi
We introduce the reader to the continuous posets approach to spacetime geometry, a topic pioneered by Martin and Panangaden. We provide all relevant proofs from standard domain-the…
A Stone-Weierstrass approximation theorem for monotone functions
Ettore Minguzzi
We present an approximation theorem for continuous non-decreasing functions on compact preordered spaces, leading to an algebraic characterization of their corresponding function s…
The representation of spacetime through time functions
Ettore Minguzzi
The properties of the stable distance over stable spacetimes are used as a reference to propose a simplified, abstract notion of spacetime. The discussion shows that spacetime, wit…
Destructuring Physics: A functional derivation of spacetime
Ettore Minguzzi
I propose that Physics should be formulated using minimal mathematical structure, beginning with its foundational arena: spacetime. This paper opens with a concise overview of seve…