Can a zero dimensional object exist? If you had the power to create an universe where you can choose its characteristics, is there a way you can create an universe that admits a zero dimensional object? If you were able to create a zero dimensional object, would every zero dimensional object be the same? In a zero dimensional universe, can there be only 1 zero dimensional object? I didn’t understand the concept of zero dimension really so these might be really dumb questions, I only know that a zero dimension point is just a mathematical concept, but I want to know if there could be something else
In: Mathematics
The singularity at the center of a black hole is considered to be a single point. When we talk about black holes we usually consider the Schwarzchild radius of the black hole, which is the region of space around the singularity where any object which enters cannot exist, even moving at the speed of light.
For a 0-dimensional object that has mass, there will be at least some small region of space around it where gravity is sufficiently strong as to prevent light from escaping.
Now, things get more complicated when we consider very small particles under quantum mechanics. The electron, for example, is usually considered a point-particle, however we cannot pinpoint it’s precise location under the laws of quantum mechanics. Instead we are limited to considering the “probability cloud” where it is likely to be.
So as far as our modern theories of physics go, we can’t really study a 0-dumensional object. Point-particles such as the electron cannot be measured with enough detail due to quantum mechanics, and black hole singularities cannot be studied because we can’t measure anything within a the Schwarzchild radius of a black hole.
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