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

0
963

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.

Search
Categories
Read More
Literature
A Mathematical and Physical Analysis On the Origin of Objects (or Matters) in Space (1)
Abstract This paper systematically explores the origin of objects in space based on the...
By Bao-hua ZHANG 2025-12-19 04:26:59 0 498
Shopping
Revolutionizing Finance: Growth of the Fintech Technologies Market
  The financial sector is experiencing rapid transformation with the rise of the Fintech...
By TRAVEL Radhika 2025-10-23 04:08:33 0 1K
Shopping
梟客五代主機評測——專屬煙彈×DIY混油黑科技
當霧圈玩家追求極致個性化,梟客主機憑藉「開放式注油」掀起革命!全新【梟客...
By Ahr Alice 2025-07-04 01:13:18 0 2K
Literature
Analyzing the Scientific Nature and Verifiability of Topological Vortex Theory (2)
I. The Plurality of Scientific Verification: Beyond Narrow Positivism 1.1 Evolution in...
By Bao-hua ZHANG 2025-12-04 05:53:00 1 796
Literature
On the Dialectical Unity of Absolute Space and Relative Space (2)
2. Newton's Absolute Space: The Background Stage as a Physical Entity In his Philosophiæ...
By Bao-hua ZHANG 2025-10-22 05:39:38 0 1K