Fitzgerald contraction for a proton in the Large Hadron Collider

Thread starter Loren Booda
Start date May 31, 2010
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Collider Contraction Hadron Large hadron collider Proton

In summary, the Fitzgerald contraction for a proton in the Large Hadron Collider refers to the theory that objects moving at high speeds will appear shorter in the direction of their motion due to the effects of special relativity. This affects the behavior of protons in the accelerator and is a proven phenomenon in particle physics. It can be calculated using a specific formula and has practical applications in the design and operation of the Large Hadron Collider.

May 31, 2010

Loren Booda

By what factor would the radius parallel to the direction of travel contract for a 7 TeV proton, relative to an antiparallel 7 TeV proton, in the Large Hadron Collider?

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Jun 1, 2010

tom.stoer

Science Advisor

Outline of the calculation:
- calculate v from 7 TeV
- add v and -v (using the relativistic additon of velocities)
- calculate the Lorentz contraction

1. What is Fitzgerald contraction for a proton in the Large Hadron Collider?

The Fitzgerald contraction for a proton in the Large Hadron Collider refers to the theory proposed by George Francis Fitzgerald in 1889, which states that objects moving at high speeds will appear shorter in the direction of their motion due to the effects of special relativity.

2. How does Fitzgerald contraction affect the behavior of protons in the Large Hadron Collider?

Fitzgerald contraction affects the behavior of protons in the Large Hadron Collider by causing them to appear shorter in the direction of their motion as they travel at near-light speeds. This can have an impact on the accuracy and precision of the particle collisions in the accelerator.

3. Is Fitzgerald contraction a proven phenomenon in particle physics?

Yes, Fitzgerald contraction is a proven phenomenon in particle physics and has been supported by numerous experiments and observations. It is an important concept in understanding the behavior of particles at high speeds and is a fundamental principle in the theory of special relativity.

4. How is Fitzgerald contraction calculated for protons in the Large Hadron Collider?

Fitzgerald contraction can be calculated using the formula L = L₀ * √(1 - v²/c²), where L is the contracted length, L₀ is the original length, v is the velocity of the proton, and c is the speed of light. This formula takes into account the effects of special relativity on the length of a moving object.

5. Are there any practical applications of Fitzgerald contraction for protons in the Large Hadron Collider?

Yes, Fitzgerald contraction has practical applications in the design and operation of the Large Hadron Collider. By understanding how particles behave at high speeds, scientists can make adjustments to the accelerator's design to ensure accurate and controlled collisions, leading to new discoveries in particle physics.