On the Topological Nature of Noether's Theorem (4)

0
1K

5. Conclusion and Outlook

This paper constructs a theoretical framework that integrates the profound implications of Noether's theorem with topological vortex theory, proposing the following core theses:

  1. The continuous symmetries and conservation laws described by Noether's theorem have, at their microscopic topological essence, their origin in the perfect PCT symmetry satisfied by topological vortex-antivortex pairs at the instant of their creation within the spacetime background [4, 8].
  2. This perfect symmetry exists only at the synchronous creation singularity and is instantaneous. The subsequent symmetry changing stabilizes the vortex and antivortex as independent topological defects [1, 2, 7].
  3. The post-changing topological vortex and anti-topological vortex no longer exhibit matter-antimatter annihilation properties but collectively constitute particles with identical material attributes. This elegantly explains why our universe is matter-dominated—because all stable topological defects are matter [7].

This theory shifts the root of symmetry from continuous geometric attributes to discrete topological structures, offering a fresh perspective for understanding the origin of matter, the cosmological constant problem, and quantum gravity. Future work will focus on developing a rigorous mathematical formulation for this framework, particularly using methods of quantum field theory on topologically non-trivial backgrounds [3, 6, 10] to quantitatively describe the production and symmetry-changing mechanism of these vortex pairs, and to search for possible observable signatures.

Pesquisar
Categorias
Leia Mais
Literature
A Mathematical and Physical Analysis On the Origin of Objects (or Matters) in Space (3)
3.2 Topological Defects as Precursors of Matter In TVT, the essence of an object is a...
Por Bao-hua ZHANG 2025-12-19 04:50:50 0 585
Shopping
植村秀專櫃必收清單|奶油唇釉×黃金卸妝術
踏進植村秀專櫃的瞬間,空氣中浮動著山茶花香與藝術家的創作能量。這個將日式匠魂注入彩妝的品牌,不只是上色工具,更是肌膚的頂級儀式!從引爆社群的「無色限奶油緞光唇釉」到殿堂級「植村秀...
Por Ahr Alice 2025-07-04 01:15:02 0 2K
Shopping
TIME STAR—更专业的海外物流解决方案!!!
美国总公司:TimeStar官网:www.365timestar.com,1998年美国起家国内分公司:上海、广州、深圳、杭州、济南 TimeStar全球仓库分布:美国...
Por 锁锋 张 2025-09-25 10:06:21 0 1K
Shopping
qqqqqqqqqqqqqqqqqqqqqqqqqqq
Amazon A to ZSRGT-Racing & Car Driving GameVoice GPS & Driving DirectionDomino...
Por Abv 134 2025-12-15 02:54:47 0 596
Outro
“Leading Technology, Jet Type Gas Aluminum Rod Single Rod Furnace Leads The New Era"
  The jet type gas aluminum rod single rod furnace is an efficient and energy-saving...
Por Meixian Zhou 2025-08-04 01:55:00 0 2K