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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2508.11949 |
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| _version_ | 1866912539794735104 |
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| author | Minguzzi, Ettore |
| author_facet | Minguzzi, Ettore |
| contents | 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 several research directions explored in previous work. Among these are the proposal to represent spacetime at the quantum scale using (measure) closed ordered spaces; the unification of causality and topology through quasi-uniformities; the concept of the product trick to unify causality and metricity; the introduction of upper semi-continuous (stable) Lorentzian distances; the representation of spacetime via steep time functions; and the formulation of the Lorentzian distance formula.
Subsequently, 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 can be introduced in a general and minimalistic way as nothing more than a family of functions defined over an arbitrary set. This abstraction removes unnecessary mathematical complexity, reducing spacetime to its essential elements while preserving its most fundamental physical properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11949 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Destructuring Physics: A functional derivation of spacetime Minguzzi, Ettore General Relativity and Quantum Cosmology 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 several research directions explored in previous work. Among these are the proposal to represent spacetime at the quantum scale using (measure) closed ordered spaces; the unification of causality and topology through quasi-uniformities; the concept of the product trick to unify causality and metricity; the introduction of upper semi-continuous (stable) Lorentzian distances; the representation of spacetime via steep time functions; and the formulation of the Lorentzian distance formula. Subsequently, 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 can be introduced in a general and minimalistic way as nothing more than a family of functions defined over an arbitrary set. This abstraction removes unnecessary mathematical complexity, reducing spacetime to its essential elements while preserving its most fundamental physical properties. |
| title | Destructuring Physics: A functional derivation of spacetime |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.11949 |