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John Titor's Legacy
Titor's Donut Shaped Singularity
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<blockquote data-quote="Martian" data-source="post: 126980" data-attributes="member: 6511"><p>Ok, Lorentz contraction is the name for the observed decrease in length of an object in the direction of motion near the speed of light. The length L is defined as:</p><p></p><p>L = L0 * sqr(1 - (v/c)²)</p><p></p><p>where L0 is the object's length at rest.</p><p></p><p>If we assume a particle is initially spherical, it will become ellipsoidal at relativistic velocities. The volume of an ellipsoid with semi-principal axes of lengths a, b, and c is:</p><p></p><p>V = (4/3)*pi*a*b*c</p><p></p><p>If we assume that the particle remains symmetric about one axis, it will have semi-principal axes of lengths a, a, and L. This means its volume will be:</p><p></p><p>V = (4/3)*pi*a²*L = (4/3)*pi*a²*L0*sqr(1 - (v/c)²)</p><p></p><p>The important thing to note here is that the volume decreases near light speed, so that should actually make it easier to form a black hole. However, this length contraction is only from the perspective of an outward observer, so it might be irrelevant.</p></blockquote><p></p>
[QUOTE="Martian, post: 126980, member: 6511"] Ok, Lorentz contraction is the name for the observed decrease in length of an object in the direction of motion near the speed of light. The length L is defined as: L = L0 * sqr(1 - (v/c)²) where L0 is the object's length at rest. If we assume a particle is initially spherical, it will become ellipsoidal at relativistic velocities. The volume of an ellipsoid with semi-principal axes of lengths a, b, and c is: V = (4/3)*pi*a*b*c If we assume that the particle remains symmetric about one axis, it will have semi-principal axes of lengths a, a, and L. This means its volume will be: V = (4/3)*pi*a²*L = (4/3)*pi*a²*L0*sqr(1 - (v/c)²) The important thing to note here is that the volume decreases near light speed, so that should actually make it easier to form a black hole. However, this length contraction is only from the perspective of an outward observer, so it might be irrelevant. [/QUOTE]
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John Titor's Legacy
Titor's Donut Shaped Singularity
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