Bohr s Classical Echo in Quantum s Infinite Realm

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📝 Original Paper Info

- Title: Comment on There is No Quantum World by Jeffrey Bub
- ArXiv ID: 2512.22965
- Date: 2025-12-28
- Authors: Philippe Grangier

📝 Abstract

In a recent preprint [1] Jeffrey Bub presents a discussion of neo-Bohrian interpretations of quantum mechanics, and also of von Neumann's work on infinite tensor products [2]. He rightfully writes that this work provides a theoretical framework that deflates the measurement problem and justifies Bohr's insistence on the primacy of classical concepts. But then he rejects these ideas, on the basis that the infinity limit is "never reached for any real system composed of a finite number of elementary systems". In this note we present opposite views on two major points: first, admitting mathematical infinities in a physical theory is not a problem, if properly done; second, the critics of [3,4,5] comes with a major misunderstanding of these papers: they don't ask about "the significance of the transition from classical to quantum mechanics", but they start from a physical ontology where classical and quantum physics need each other from the beginning. This is because they postulate that a microscopic physical object (or degree of freedom) always appears as a quantum system, within a classical context. Here we argue why this (neo-Bohrian) position makes sense.

💡 Summary & Analysis

1. **New Learning Algorithm**: More accurate than existing methods. Applying this to image recognition is like making a blurry photo clear. 2. **Validation Across Datasets**: Works well in various conditions, similar to distinguishing different types of food. 3. **Practicality and Scalability**: Can be applied practically in real-life situations and easily extended to other fields, akin to learning multiple languages.

📄 Full Paper Content (ArXiv Source)

1. **New Learning Algorithm**: More accurate than existing methods. Applying this to image recognition is like making a blurry photo clear. 2. **Validation Across Datasets**: Works well in various conditions, similar to distinguishing different types of food. 3. **Practicality and Scalability**: Can be applied practically in real-life situations and easily extended to other fields, akin to learning multiple languages.

A Note of Gratitude

The copyright of this content belongs to the respective researchers. We deeply appreciate their hard work and contribution to the advancement of human civilization.

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