The number 1 in front of the mirror: Mathematical Materiality in four pages

Mathematical Materiality (MM) in brief. MM starts from one thesis: the laws of physics are not rules that something makes matter obey; matter is the relations of mathematics itself. Nothing exists on its own: to exist means to exist for another logical entity, and outside this web of relations there is nothing, not even other universes. In the first logical nexus between elements that are homogeneous in Einstein's sense, namely space and time, there is a non-local phase, made only of relations that sit in no place. It is not a distant level: it is present in every phase of reality, in every place and at every instant. It shows in entanglement, where two distant systems remain correlated more strongly than any explanation with separate properties and no influence faster than light allows, without anything travelling between them. In this non-local phase the two logical distincts exchange only a common logical greatest common divisor (GCD), the single logical element that makes the two entities logically exist for each other. The local world arises when a relation is counted through this GCD: its fractions or multiples form a matrix, and, read by an observer inside it like us, the multiples appear as time and the fractions as space. That same multiple, immediately contained in the matrix of the point of observation, generates mass, that is, matter as it is ordinarily understood. The observed objects, while being logically autonomous entities in their local relations, are related to the observer through a local fractional diffraction of the observational matrix. This is why the universe behaves like a simulation without being one. It follows exact rules, made of counts, everywhere and at every instant, but no machine runs them and no programmer wrote them: a structure of mathematical relations does not need to be computed in order to exist. That such a simulation need not be run had already been noted by Tegmark (2008); Vazza (2025) estimated that running it on a machine would require resources that the laws of the universe do not allow. This record contains the four-page summary of the framework, in English and in Italian: the question of why physical laws hold everywhere with nothing to enforce them; the Great Reversal; the non-local phase and its empirical trace in Bell-type experiments; the five postulates with the example of 3 and 5; the matrix; the equals sign as a mirror; a clock made of 3 and 5, whose two means give Einstein's slowing of moving clocks (a known identity: Bondi 1964; Knuth and Bahreyni 2014); and the comparison with two measured numbers. The full overview, with the list of all records, is at DOI 10.5281/zenodo.22667516. The author is not a professional physicist; the framework and its premises are the author's own. The texts were written with the help of AI assistants. There has been no review by human referees.