- #1
cube137
- 361
- 10
Is it possible to create a non-local manifold that co exist with the spacetime manifold? The non-local manifold being where quantum correlations took place. How do you make the two manifolds co-exist?
andrewkirk said:What do you mean by a 'non-local manifold'?
Certainly the spacetime manifold can be embedded in manifolds with sufficiently higher dimensionality. In fact, infinitely many spacetime manifolds can be thus embedded in the same higher-dimensional space.
A non-local manifold is a mathematical concept used in physics and geometry to describe a space that is not locally Euclidean. This means that at each point on the manifold, there is no unique tangent space, and traditional Euclidean geometry concepts, such as parallel lines and distance, do not apply.
The main difference between a non-local manifold and a traditional manifold is that a non-local manifold does not have a well-defined tangent space at each point. This means that traditional geometric concepts, such as curvature and distance, cannot be easily applied to a non-local manifold.
Non-local manifolds have been used in various fields of study, including quantum mechanics, general relativity, and string theory. They are also used in computer science for data analysis and machine learning algorithms.
Non-local manifolds are a type of non-Euclidean geometry, as they do not adhere to the traditional Euclidean principles of geometry. However, non-local manifolds also incorporate concepts from Riemannian geometry, which studies curved spaces.
Since non-local manifolds exist in dimensions higher than our three-dimensional world, they cannot be easily visualized. However, mathematicians and physicists use mathematical equations and models to represent and study these complex spaces.