The Language of Physics as a Language of Intervals and Closures: Toward an Ontology of the Syntax of Physical Statements

The article proposes an ontological shift in the syntax of physical description: the primary type of physical statement is declared to be not a point value of a quantity, but an interval of admissibility. Numbers are interpreted as effects of closure (and/or stabilization) of intervals within specific fixation procedures. The notions of parameter, law, quantization, constant, and measurement are redefined. It is shown that the interval ontology of the language does not отменяет existing equations and numerical predictions, but changes the status of number: from an ontological fact to an epistemic trace of closure.

Note 1. The interval syntax proposed in the present work is compatible with ontological programs that consider reality as a sequence of discrete acts or events (see, for example, [1]).