If a is the scale factor – the current distance between any two points in space- then the rate of change of that scale factor in relation to the size of the universe is given as : Where is derived from a…
read moreRicci calculus describes the rules of index notation and manipulation for tensors and tensor fields on a differentiable manifold. It is another name for absolute differential calculus, which is the foundation of tensor calculus. The Ricci Curvature Tensor is a fundamental component…
read moreEinstein Summation Notation is a notational convention that implies summation over a set of indexed terms in a formula. It is simply meant as a shortcut in the writing of formulas. It is primarily used in the application of linear algebra to…
read moreThe Metric Tensor in General Relativity is a Set of 10 parameters ascribed to each point in space, the values of which describe the geometry of spacetime. Metric means “measure,” and a tensor is simply the higher dimensional analogue of vector, i.e….
read moreHistorically, a point has been described as an exact location in a space, with no length, width, or thickness. In modern mathematics, a point refers more generally to an element of some set called a space. Therefore, the mathematical definition of the…
read moreChaos theory describes the underlying patterns and deterministic laws of dynamical systems that were once thought to have completely random states of disorder and irregularities, but found to be completely deterministic but simply highly sensitive to initial conditions. Such high sensitivity to…
read moreJerk is the third derivative of position with respect to time .
read moreThe arrow indicates the quantity acceleration is a vector quantity. Related
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