Can dimensions be fractional?
Starting with fractional dimensions, yes. An object can have a fractional dimension, it is called its fractal dimension . There are many similar definitions for fractal dimension, but a very general one is the Hausdorff dimension .
Can there be two time dimensions?
F-theory describes a 12-dimensional spacetime having two time dimensions, giving it the metric signature (10,2). Like other complex number variables, complex time is two-dimensional, comprising one real time dimension and one imaginary time dimension, changing time from a real number line into a complex plane.
How many spacetime dimensions are there?
three dimensions
In physics, spacetime is any mathematical model which fuses the three dimensions of space and the one dimension of time into a single four-dimensional manifold.
What is fractional space?
This is the analogue of Euclidean space, but with anomalous scaling and diffusion properties. The basic tool is fractional calculus, which is cast in a way convenient for the definition of the differential structure, distances, volumes, and symmetries.
What is the highest dimension a fractal can be?
The dimension of the Mandelbrot’s boundary (picture above) is 2, which is the highest it can be, but there are more interesting (but less pretty) fractals out there with genuinely fractional dimensions, like the “Koch snowflake” which has a dimension of approximately 1.262.
What is the difference between time and space?
There are two ways that time, as a dimension, is different from space. The first way is a small one: you can’t put space (which is a measurement of distance) and time (which is a measurement of, well, time) on the same footing without some way to convert one to the other.
How many dimensions of space can you have?
The dimensions of space are either there or not, so while you could have 4 dimensions, you couldn’t have 3.5. This entry was posted in — By the Physicist, Math. Bookmark the permalink .
What is the shortest distance between two spacetime events?
After all, the shortest distance between two spacetime events isn’t a straight line any longer. Here’s the science of why. the line connecting points A and B. But the shortest distance between them is a straight line directly connecting A to B. This works for spatial distances only.