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Outline

Title
Abstract
Key Takeaways
Figures
Introduction
Duality and Riemann Hypothesis
Conclusions and Further Developments
References
All Topics
Mathematics
Number Theory

Remarks on Physics as Number Theory

Profile image of Lucian M IonescuLucian M Ionescu

2011

Abstract

There are numerous indications that Physics, at its foundations, is algebraic Number Theory.

Key takeaways
sparkles

AI

  1. Physics fundamentally aligns with algebraic Number Theory, influencing modern theoretical frameworks.
  2. The fine structure constant relates to the Riemann zeta function, bridging quantum physics and number theory.
  3. Emerging models reject traditional particle-field dichotomies, emphasizing quantum information and networked interactions.
  4. The Quantum Computing Model provides refined insights into atomic structures, surpassing classical models like Bohr's.
  5. Exploring primes' hidden structures could unlock novel insights into quantum mechanics and the Riemann hypothesis.
Figures (1)
The power k of 2, representing the binary content (p = 2’n +1), is encoded in the difference of “energy” levels, e.g. 29 = 1+ 27-7 sits at level of 7 plus two “stories” higher, while 31 = 1+ 2-3-5 is one level higher then 3 and 5. With the five Fermat primes as the “atoms”, the first level of primes includes 7,11,13,19, while 23 = 1+ 2-11 is on the 2nd level 23 — 11 — 5, together with 29 + 7 > 3. Since for example 31 — 3 and 31 — 5, a lattice structure arises (POSet), characteristic to a divisibility structure (Hopf structure). For example, with the atomic elements pictured as a boundary (three of the 5 Fermat primes, and the “degenerate” fermat prime 2), the POSet of primes P (primitives of (NV, -)) Tee
The power k of 2, representing the binary content (p = 2’n +1), is encoded in the difference of “energy” levels, e.g. 29 = 1+ 27-7 sits at level of 7 plus two “stories” higher, while 31 = 1+ 2-3-5 is one level higher then 3 and 5. With the five Fermat primes as the “atoms”, the first level of primes includes 7,11,13,19, while 23 = 1+ 2-11 is on the 2nd level 23 — 11 — 5, together with 29 + 7 > 3. Since for example 31 — 3 and 31 — 5, a lattice structure arises (POSet), characteristic to a divisibility structure (Hopf structure). For example, with the atomic elements pictured as a boundary (three of the 5 Fermat primes, and the “degenerate” fermat prime 2), the POSet of primes P (primitives of (NV, -)) Tee

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