Publication result detail

The Euclidean model of space and time, and the wave nature of matter

MACHOTKA, R.

Original Title

The Euclidean model of space and time, and the wave nature of matter

English Title

The Euclidean model of space and time, and the wave nature of matter

Type

WoS Article

Original Abstract

The aim of the paper is to show the fundamental advantage of the Euclidean Model of Space and Time (EMST) over Special Relativity (SR) in the field of wave description of matter. The EMST offers a unified description of all particles of matter as waves moving through four-dimensional Euclidean space at the speed of light. Unlike the usual description in three dimensions, where the group and phase velocities of a particle differ, in four-dimensional space the wave and the associated particle can be treated as a single object. The paper deepens understanding of the EMST as a viable alternative to SR. The EMST clarifies the origin of relativistic phenomena and at the same time explains the apparent mysteries associated with the wave nature of matter. From the broader perspective, the EMST has all the prerequisites to become the starting point for the mutual combination of "relativistic" and "quantum" physics into a single physical theory.

English abstract

The aim of the paper is to show the fundamental advantage of the Euclidean Model of Space and Time (EMST) over Special Relativity (SR) in the field of wave description of matter. The EMST offers a unified description of all particles of matter as waves moving through four-dimensional Euclidean space at the speed of light. Unlike the usual description in three dimensions, where the group and phase velocities of a particle differ, in four-dimensional space the wave and the associated particle can be treated as a single object. The paper deepens understanding of the EMST as a viable alternative to SR. The EMST clarifies the origin of relativistic phenomena and at the same time explains the apparent mysteries associated with the wave nature of matter. From the broader perspective, the EMST has all the prerequisites to become the starting point for the mutual combination of "relativistic" and "quantum" physics into a single physical theory.

Keywords

special relativity; Euclidean relativity; Euclidean metric; wave-particle duality; de Broglie waves

Key words in English

special relativity; Euclidean relativity; Euclidean metric; wave-particle duality; de Broglie waves

Authors

MACHOTKA, R.

Released

10.02.2025

Publisher

FRONTIERS MEDIA SA

Location

LAUSANNE

ISBN

2296-424X

Periodical

Frontiers in Physics

Volume

13

Number

13-2025

State

Swiss Confederation

Pages from

1

Pages to

13

Pages count

13

URL

https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2025.1537461/full

BibTex

@article{BUT196839,
  author="Radovan {Machotka}",
  title="The Euclidean model of space and time, and the wave nature of matter",
  journal="Frontiers in Physics",
  year="2025",
  volume="13",
  number="13-2025",
  pages="1--13",
  doi="10.3389/fphy.2025.1537461",
  issn="2296-424X",
  url="https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2025.1537461/full"
}