Збережено в:
| Автори: | , |
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| Формат: | Recurso digital |
| Мова: | |
| Опубліковано: |
Zenodo
2025
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| Предмети: | |
| Онлайн доступ: | https://doi.org/10.5281/zenodo.16990576 |
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Зміст:
- <p>This paper establishes a boundedness theorem for Sobolev norms of a class of non<br>commutative associative operations originating from physical systems. By axiomati<br>cally defining a ”chronogroup” structure with time evolution parameters, the problem<br> of Sobolev norm estimation for its dynamic group law ∗t is decomposed into controlling<br> the classical Lie group multiplication term and the gauge phase correction term. The<br> core proof combines spectral cohomology theory describing energy-scale phase transition<br> behavior in gauge fields with generalized Harish-Chandra estimates, demonstrating that<br> for any Sobolev exponent s > 0, there exists a constant Cs such that g ∗t hHs ≤<br> Cs g Hs hHs. This result provides a rigorous mathematical foundation for operator<br> functional analysis in non-perturbative quantum field theory</p>