A Concise Formalization of Hyperrealism-Antirealism in Physics Using Neutrosophic Logic

Abstract

 In [6], the relationship between hyperrealism and antirealism in physics is proposed. Hyperrealism
Antirealism describes a spectrum where theories transition from being empirically grounded (realist) to specu
lative frameworks dominated by untestable assumptions, thereby detaching from observable reality.
 This paper presents a concise mathematical formalization of the spectrum of hyperrealism-antirealism in
 theoretical physics and the philosophy of science. We propose a method to quantify the extent to which
 a theory is “hyperreal” or “antirealist” using a ratio of testable to untestable statements. Additionally, we
 provide several theorems that outline the conditions under which theories shift into hyperreal or antirealist
 domains. Finally, we explore how Neutrosophic Logic [38] can capture intermediate degrees between realism
 and antirealism, offering a nuanced perspective on the spectrum.

DOI:10.5281/zenodo.14880151