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.

البحث
الأقسام
إقرأ المزيد
أخرى
大家好
我来自中国想跟大家交个朋友
بواسطة 细兵 李 2025-10-17 13:19:49 0 775
Film
谁能体会到微博账号无法发布评论一百多条视频全给删除的心情
有被气到,微博居然一下子把我一百多条的视频全给我删了
بواسطة 亚琦 张 2025-09-19 23:19:08 0 1كيلو بايت
أخرى
Evolving Financial Landscape Drives Global Accounting Services Market Expansion
The global Accounting Services Market Share is experiencing significant growth as organizations...
بواسطة TRAVEL Radhika 2025-10-30 08:27:24 0 662
Shopping
Nike鞋經典選購與穿搭攻略
談到街頭與球場的共同語言,多數人第一時間會想到 Nike鞋。 作為全球運動潮流象徵,耐吉 在設計、舒適度與文化傳承上不斷創新,從經典籃球血統延伸到日常穿搭,兼具機能與時尚表現。...
بواسطة Abv 134 2025-11-26 02:14:21 0 294
Shopping
RELEX บุหรี่ไฟฟ้าแบรนด์ดังที่ตอบโจทย์คนรุ่นใหม่
ในยุคที่ผู้บริโภคเริ่มหันมาให้ความสำคัญกับสุขภาพมากยิ่งขึ้น บุหรี่ไฟฟ้า...
بواسطة Lin Maa 2025-07-16 01:41:21 0 2كيلو بايت