Max Occupation of Spacetime: Lorentz-Fitzgerald Equation

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SUMMARY

The discussion centers on the Lorentz-Fitzgerald contraction equation, specifically the interpretation of 'c' as the maximum allowable occupation of spacetime. Participants debate the implications of this equation for black holes, which are often described as infinitely dense points according to Einstein's equations. The conversation highlights the contradiction between the contraction of objects moving at the speed of light and the concept of infinite density in black holes, suggesting a need for a calculable maximum density in these scenarios.

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  • Understanding of the Lorentz-Fitzgerald contraction equation
  • Familiarity with Einstein's equations and general relativity
  • Knowledge of the concept of spacetime and its properties
  • Basic grasp of the physics of black holes
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  • Research the implications of the Lorentz-Fitzgerald contraction on relativistic physics
  • Study the properties of black holes and their density calculations
  • Explore the relationship between speed, mass, and spacetime in general relativity
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Physicists, astrophysicists, and students of theoretical physics who are interested in the complexities of spacetime, black hole physics, and relativistic effects.

Hebob80
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Given the Lorentz-Fitzgerald contraction equation:

t = [tex]\sqrt{1-\frac{v^{2}}{c^{2}}}[/tex]

'c' can be understood as the maximum allowable occupation of spacetime.

I've seen it written on these boards that black holes are calculated by Einstein's equations as infinitely dense points, which is to say, there is no maximum occupation of spacetime for them. Shouldn't there be?

In the Lorentz-Fitzgerald equation, an object moving the speed of light is calculated as contracting to a single point in the direction of motion, but we can hardly say that this object is infinitely dense, in fact someone on the ship would measure the ship as if it were at rest. So wouldn't the same be true for a black hole? If this is true for black holes, as well as an object moving the speed of light, then wouldn't there be some calculatable maximum density?
 
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Hebob80 said:
Given the Lorentz-Fitzgerald contraction equation:

t = [tex]\sqrt{1-\frac{v^{2}}{c^{2}}}[/tex]

'c' can be understood as the maximum allowable occupation of spacetime.
Huh? I don't understand where you get this interpretation.

Hebob80 said:
In the Lorentz-Fitzgerald equation, an object moving the speed of light is calculated as contracting to a single point in the direction of motion, but we can hardly say that this object is infinitely dense, in fact someone on the ship would measure the ship as if it were at rest.

Material objects can't move at c.
 

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