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Why Antiparticles Must Exist in Nature

Why Combining Quantum Mechanics and Relativity Make the Existence of Antiparticles Inevitable

8 min readApr 16, 2020

In the following, I will argue (following Feynman) that two conditions are needed for antiparticles to exist in Nature: the first is that the energy of a particle is always positive, and the second is that Nature obeys the principles of relativity.

A Bird’s-Eye View of Spacetime Diagrams

In order to fully grasp the conclusion of this article, an explanation of the geometric properties of spacetime diagrams (or Minkowski diagram) is needed. Spacetime diagrams are graphical representations of the motion of particles in spacetime.

Figure 1: The two-dimensional lightcone (source).

To better understand the possible types of intervals in a spacetime diagram, it is better to use only two dimensions, one time dimension (vertical axis) and one spatial dimension (horizontal axis), as shown in Figure 2. The trajectory of an observer on a diagram is called a world line.

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TDS Archive

Published in TDS Archive

An archive of data science, data analytics, data engineering, machine learning, and artificial intelligence writing from the former Towards Data Science Medium publication.

Marco Tavora Ph.D.
Marco Tavora Ph.D.

Written by Marco Tavora Ph.D.

Theoretical physicist, data scientist, and scientific writer.

Responses (2)

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That was a very nice derivation to show that anti-particles are inevitable. Thank you for sharing this.
There are however some complications that make one doubt the rigor in derivations like this. In particular, the concept of particles itself is a…

1

To realise that there are human beings who understand all of this is heartening. It must suggest an inherent human capacity to understand the universe of which we are a part. But this capacity is only possessed by a few. Can such comprehension be…