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| Main Author: | |
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| Format: | Recurso digital |
| Language: | English |
| Published: |
Zenodo
2025
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| Subjects: | |
| Online Access: | https://doi.org/10.5281/zenodo.16265474 |
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Table of Contents:
- <p>The P vs. NP problem is one of the most profound unsolved questions in mathematics and com-<br>puter science. This paper proposes a new physical, rather than purely mathematical, origin for the<br>separation of these complexity classes. We posit the existence of a timeless, ”Platonic Computa-<br>tional Substrate” where information is unprocessed and all problems are equivalent, a state where<br>P=NP. We argue that the Big Bang was a cosmological symmetry-breaking event that initiated<br>a universal quantum computation. This act of computation, which creates the arrow of time, is<br>what breaks the symmetry and separates P from NP in our local universe. The ”hardness” of an<br>NP problem is a direct measure of the ”processional cost” (Information-Energy) required to locally<br>reverse this fundamental symmetry break. We extend this model to the Polynomial Hierarchy,<br>proposing that its higher levels correspond to fundamental principles of our universe’s structure.<br>We predict that the existence of stable, self-replicating systems (life) is a physical manifestation of<br>the universe solving a Σ2-type problem, while the stability of its physical laws is a manifestation<br>of it solving a Π2-type problem. This framework reframes computational complexity not as an<br>abstract mathematical property, but as a fundamental feature of the physics of our cosmos.</p>