The Relational Interpretations on soft matter as intermediate asymptoitcs

TL;DR

This paper explores the parallels between Rovelli's relational interpretation of physics and the interpretation of soft matter via intermediate asymptotics, suggesting a fundamental role of relations in understanding properties and interactions.

Contribution

It reveals a deep analogy between relational quantum interpretations and soft matter analysis, proposing relations as a fundamental concept across disciplines.

Findings

Relational interpretation implies properties are scale-dependent.

Intermediate asymptotics shows properties are localized by scale.

Similarity suggests relations are fundamental across physics and soft matter.

Abstract

In this paper, it is demonstrated that there is a parallelism between the relational interpretation of Rovelli and the interpretation of soft matter based on intermediate asymptotics. The general interpretation of physics strongly assumes the duality of the observer and the world, and the uniqueness of the world though the relational interpretation suggested different conclusions: {\ it no properties, no interaction}, and {\ it facts are relative}. These conclusions are seemingly counterintuitive, though this work shows that similar conclusions are found in the interpretation of soft matter based on the concept of intermediate asymptotics. The interpretation of soft matter based on intermediate asymptotics also concludes that the properties are not determined without the scale. This is due to the conclusion of intermediate asymptotics that any formalization and its interpretation are localized by the scale. It is demonstrated that the similarity between the two interpretations originated from its monism of relations. This logical structure is also compared with the works in other disciplines. This work reports the insight that the relational interpretation can be a general and fundamental concept, not the one applicable to special cases.