Search results
Results from the WOW.Com Content Network
Physicists have long known that some solutions to the theory of general relativity contain closed timelike curves—for example the Gödel metric.Novikov discussed the possibility of closed timelike curves (CTCs) in books he wrote in 1975 and 1983, [1] offering the opinion that only self-consistent trips back in time would be permitted. [2]
For instance, an object located at position p at time t 0 can only move to locations within p + c(t 1 − t 0) by time t 1. This is commonly represented on a graph with physical locations along the horizontal axis and time running vertically, with units of t {\displaystyle t} for time and ct for space.
The theoretical study of time travel generally follows the laws of general relativity. Quantum mechanics requires physicists to solve equations describing how probabilities behave along closed timelike curves (CTCs), which are theoretical loops in spacetime that might make it possible to travel through time. [1] [2] [3] [4]
For an appropriate choice of f equal to 1 outside a small annulus near 0, the integral curves starting at points of the smooth curve will all reach smaller circle bounding the annulus at the same time s. The diffeomorphism α s therefore carries the smooth curve onto this small circle. A scaling transformation, fixing 0 and ∞, then carries ...
past-directed if, for every point in the curve, the tangent vector is past-directed. These definitions only apply to causal (chronological or null) curves because only timelike or null tangent vectors can be assigned an orientation with respect to time. A closed timelike curve is a closed curve which is everywhere future-directed timelike (or ...
The plots have been made to overlap by dividing time (t) by the respective characteristic time constant. The stretched exponential function f β ( t ) = e − t β {\displaystyle f_{\beta }(t)=e^{-t^{\beta }}} is obtained by inserting a fractional power law into the exponential function .
In simultaneous embedding with fixed edges, curves or bends are allowed in the edges, but any edge present in both graphs must be represented by the same curve in both drawings. [1] The classification of different types of input as always having an embedding or as sometimes not being possible depends not only on the two types of graphs to be ...
A tautochrone curve or isochrone curve (from Ancient Greek ταὐτό ' same ' ἴσος ' equal ' and χρόνος ' time ') is the curve for which the time taken by an object sliding without friction in uniform gravity to its lowest point is independent of its starting point on the curve.