- #1
K1NS
- 4
- 0
As a newbie, I apologize if this topic has been discussed before.
It seems to me that one result of quantum physics is that Euclidean geometry is artificial and cannot be represented in real space. For example, there can be no such thing as a straight line in granular quantum space.
And Euclid's fifth postulate, that parallel lines never meet, becomes false. Why? Because of random variations in space, lines are not straight, but they would "wobble," albeit at tiny Planck distances. But over an infinite distance, they would meet and diverge an infinite number of times.
I believe we need a "quantum geometry" to describe space and time, where measurements, lines and angles are replaced by probabilities.
If this topic has been discussed here or elsewhere, I would appreciate a reference so I could read more.
It seems to me that one result of quantum physics is that Euclidean geometry is artificial and cannot be represented in real space. For example, there can be no such thing as a straight line in granular quantum space.
And Euclid's fifth postulate, that parallel lines never meet, becomes false. Why? Because of random variations in space, lines are not straight, but they would "wobble," albeit at tiny Planck distances. But over an infinite distance, they would meet and diverge an infinite number of times.
I believe we need a "quantum geometry" to describe space and time, where measurements, lines and angles are replaced by probabilities.
If this topic has been discussed here or elsewhere, I would appreciate a reference so I could read more.