What is infinite rigidity? Some answers will be given later. In the meantime, can infinite rigidity be found in the follwing images? http://images.google.com/images?um=1...art=20&ndsp=20
What is infinite rigidity? Some answers will be given later. In the meantime, can infinite rigidity be found in the follwing images? http://images.google.com/images?um=1...art=20&ndsp=20
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
labelwench (02-24-2010)
This is not the answer you seek.
Infinite rigidity is the shape taken by time, when you are waiting for an outcome over which you have no control.
So many paths to the same destination,
would, but I could, experience them all...
AntonioLao (02-24-2010)
In a sense, you have the correct answer, philosophically speaking. But physically, the speed of light holds the upper limit of infinite rigidity which can be described as the sum of infinitely many infinitesimal rigidity describe by the next post.Originally Posted by labelwench
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
labelwench (02-25-2010)
Although infinite rigidity is macroscopically impossible to achieve, infinitesimal rigidity can be defined quantum mechanically between two space-time points as the inner scalar dot product of the difference of two space-time metric ₁ and ₂ with the difference of their linear velocities ₁ and ₂, which are defined as ₁=₁×₁ and ₂=₂×₂, that is the vector cross product of the angular velocity and the given metric, while the angular velocity is defined as the time derivative of the angular displacement : =/, where is derived from the square symmetric Hadamard matrices describing infinitesimal rotations such that (₁-₂)•(₁-₂)=0. The expanded product using the distributive property give ₁•₁×₁+₂•₂×₂=₁•₂×₂+₂•₁×₁ or equivalently: (₁×₁-₂×₂)•₁=(₁×₁-₂×₂)•₂. This vector equation is true if and only if ₁×₁=₂×₂. This implies the equality of all linear velocities of infinitesimal rigidity, providing an upper limit whose absolute magnitude is the speed of light. These definitions are usually restricted to the cases for which there are at least three non-collinear space-time points and in the limit for 3 space-time points as approaches infinity is a circular closed loop whose structure is equivalent to the Hopf-Möbius topology as the most ideal representation of infinitesimal rigidity, from which working principle was applied repeated by R. Buckminster Fuller (1895-1983) for the creation of his geodesic domes. http://en.wikipedia.org/wiki/Buckminster_Fuller
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
Two words popped into my mind when reading this thread,they were,"fluid fractuality",where that fits in with infinite rigidity is anybodies guess.
regards michael.
Humilty,coupled with boldness,surprises truth to
reveal herself?
AntonioLao (02-25-2010)
Everything is considered as fluid unless every linear velocity of every space-time charges of each thing is the same both magnitude and direction then it can be considered as a rigid body.
Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: ¶a(t)·¶r(t)=c²
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