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

0
397

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.

搜索
类别
閱讀全文
Literature
An Overview of the Development of Topological Vortex Theory (TVT)
1. Introduction: On the Topological Vortex Theory (TVT) and Topological vortices Topological...
Bao-hua ZHANG 2025-10-13 04:22:11 0 893
Shopping
หัวพอตเด็ด! เลือก RELX รุ่นไหนให้ใช่สุด
หัวพอตบุหรี่ไฟฟ้า ตัวช่วยเปลี่ยนฟีลการสูบ สำหรับสายควันทั้งหลาย...
Ahr Alice 2025-09-27 01:10:01 0 1K
其他
Multi-Functional Packaging Machine for Instant Noodles
Multi-Functional Packaging Machine for Instant Noodles Click to quickly check key information of...
PANJI Machinery 2025-06-17 01:26:21 1 2K
Shopping
รีวิวประสบการณ์ใช้ Relx Infinity Plus โดยละเอียด
เทคโนโลยีล่าสุดจาก Relx กับรุ่น relx infinity...
Joe Zhou 2025-09-12 02:00:31 0 1K
Shopping
รีวิว RELX บุหรี่ไฟฟ้า – เทรนด์ใหม่ของสายควันที่ตอบโจทย์คนยุคใหม่
...
Lin Maa 2025-07-31 01:47:18 0 2K