On the Topological Nature of Noether's Theorem (1)

0
428

Abstract

Noether's theorem, a cornerstone of modern physics, profoundly reveals the equivalence between symmetries and conservation laws. Traditionally, it is understood as a global or local consequence of continuous symmetries. This paper aims to propose a novel perspective, arguing from the framework of Topological Vortex Theory (TVT) that the root of Noether's theorem lies in the topological defects of spacetime and their symmetry changing [1, 2, 10]. We propose that the ground state of the physical vacuum is a sea of topological vortex and their twin antivortex pairs. At the moment of their creation, these vortex-antivortex pairs perfectly preserve the combined symmetries of Parity Conservation (P), Charge Conjugation (C), and Time Reversal (T) [8], which corresponds to the topological origin of the conservation laws revealed by Noether's theorem. However, this perfect symmetry exists only at the primordial synchronous space-time singularity of their formation. Once formed, the vortex and antivortex embed themselves as stable topological defects within the fabric of spacetime [1, 5, 9], exhibiting identical material properties and collectively constituting the entire material basis of our observable universe. This explains why our world is dominated by "matter" rather than exhibiting matter-antimatter symmetry [7].

Keywords: Noether's theorem; topological vortex; symmetry changing; PCT theorem; origin of matter; topological defect

1. Introduction: From Continuous Symmetry to Topological Symmetry

The theorem proposed by Emmy Noether in 1918 established that every continuous symmetry of the action corresponds to a conservation law in physics [4]. This principle has become central to all physical theories, from classical mechanics to quantum field theory [6]. Typically, we attribute conservation laws (e.g., conservation of energy, momentum, angular momentum) to the homogeneity and isotropy of spacetime—properties that are continuous and smooth.

A deeper question, however, is: What is the origin of these continuous symmetries themselves? Are they the most fundamental attributes of spacetime? This paper argues that continuous symmetries may be an emergent phenomenon, whose underlying basis is a discrete spacetime endowed with topological structure.

Buscar
Categorías
Read More
Other
上海交大才子庞若明被“挖走",谈大陆科技发展
  当我们扒开met实验室的“底裤”,会发现一个令人震惊的现象。在27个工位里,有16个坐着清北的毕业生,另外九个揣着上海交大和浙大的文凭。...
By 晓明 杨 2025-09-28 08:32:25 0 1K
Other
MK 包包官網熱銷推薦|Michael Kors 托特包與後背包一次看懂
MK 包包官網人氣款推薦|托特包與後背包全面解析 Michael Kors(MK)...
By ADA ADAD 2025-07-25 07:31:56 0 2K
Shopping
DIYA電子煙深度解析:新世代霧化科技與時尚主機的完美結合
隨著電子煙市場的快速擴張,許多品牌紛紛推出創新產品,試圖在競爭激烈的市場中佔據一席之地。其中,DIYA電子煙...
By Lin Maa 2025-07-08 02:01:28 0 2K
Crafts
托盘(tray)
By 清 温 2025-07-30 01:18:12 0 2K
Networking
Japan Digital Signage Market Size: Trends and Growth Outlook
The Japan Digital Signage Market Size is witnessing remarkable growth, driven by the...
By Kajal Jadhav 2025-09-22 11:58:03 0 1K