Speed of a tachyon increases as its energy decreases

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SUMMARY

The discussion centers on the concept of tachyons, hypothetical particles that, if they exist, would have an imaginary mass and exhibit behavior contrary to conventional physics. Specifically, it is stated that the speed of a tachyon increases as its energy decreases, approaching zero speed as energy approaches infinity. This contradicts the established understanding that an increase in speed correlates with an increase in energy. The tachyon serves as a mathematical construct rather than a physical entity, raising questions about its purpose in theoretical physics, especially in relation to Einstein's assertion that photons are the fastest particles.

PREREQUISITES
  • Understanding of relativistic physics and the relationship between mass, energy, and speed.
  • Familiarity with the concept of imaginary mass in theoretical physics.
  • Knowledge of Einstein's theory of relativity and the speed of light as a cosmic speed limit.
  • Basic grasp of particle physics and the role of mathematical constructs in theoretical models.
NEXT STEPS
  • Study the relativistic energy-momentum relation to understand the implications of mass and speed.
  • Research the concept of imaginary mass and its significance in theoretical physics.
  • Explore the implications of tachyons in quantum field theory and their potential effects on causality.
  • Investigate the role of tachyons in string theory and other advanced theoretical frameworks.
USEFUL FOR

This discussion is beneficial for theoretical physicists, students of advanced physics, and anyone interested in the implications of hypothetical particles in modern physics.

Astro-Anouar
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I Found This in Wikipedia ''the speed of a tachyon increases as its energy decreases. In particular, approaches zero when approaches infinity'' and My question is How can be this Possible ?! First I know ,When the speed of a particle increase, his Energy will increase Too , No ? Second How Can The speed Be Infinity ?! and Finally Why we create The Tachyon , Einstein said that the Photon is the Fastest ,so what the purpose of Tachyon why we create it ?!
 
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Astro-Anouar said:
I Found This in Wikipedia ''the speed of a tachyon increases as its energy decreases. In particular, approaches zero when approaches infinity'' and My question is How can be this Possible ?! First I know ,When the speed of a particle increase, his Energy will increase Too , No ? Second How Can The speed Be Infinity ?! and Finally Why we create The Tachyon , Einstein said that the Photon is the Fastest ,so what the purpose of Tachyon why we create it ?!

The tachyon is a mathematical construct that is not believed to exist in the real world.
 
Exercise: find the (relativistic) formula that gives a particle's speed v in terms of its energy E and mass m. You will find that it contains an m2.

Tachyons, if they exist, have imaginary mass: m = iμ where μ is a real number. (iμ)2 = -μ2. In the formula that you get in the exercise above, this changes a sign, which in turn produces the behavior of v with respect to E as described in Wikipedia.
 

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