Shor Compatibility Principle

Author: Brianna Short-I’Anson

The Shor Compatibility Principle describes an infinite system alongside the Hilbert Hotel-style paradox, supported by a mathematical equation. It demonstrates how infinite systems behave in ways true to reality via a relational infinite system fixed by capacity and constraints, which follows structural rules that define its compatibility with other infinite systems. The motivation for this principle was to create an understanding of such a complex topic as infinity.

The Hilbert Hotel-style paradox was selected because the concept and its corresponding example could be converted into a model that represents how an infinite system would operate if it were implemented in reality. This approach aims to bridge the gap between infinity being mathematically "correct" and being consistent with reality. This is where a significant challenge in understanding infinite systems may arise, as infinity is often taught as a mathematically correct or simplified concept, while important aspects of reality are overlooked.

The Shor Compatibility Principle aims to fill this gap as it keeps infinite systems honest to reality while keeping structure to be analysed as an abstract/conceptual and real-world system, bridging both theory and practice. The core idea of this principle is to provide an example of how this infinite system with capacity and constraints interacts with other infinite systems that may or may not comply, as their structural rules may differ.

Extended draft documentation (currently under refinement) is available to potential collaborators upon request.