Uncertainty and basis vectors of relativity

[Rothiemurchus]

Do the basis vectors of Einstein's General Theory of Relativity have the same point of origin, given that the uncertainty principle says that we can't know exactly the position of something? And if we say the basis vectors do have the same point of origin isn't this the same as introducing bias and speculation into into the theory - it's like saying that we know space is bosonic (particles occupy same place at same time) and it isn't fermionic (particles can't occupy same space at same time).

 

[AlphaNumeric]

Coordinates aren't physical things, they are a method of description. The uncertainty principle says we can't know where and how an object is moving through those coordinates with perfect accuracy, it's nothing to do with the coordinates themselves.

 

[Entropia]

I understand the importance of addressing uncertainties and potential biases in any scientific theory. However, in the case of Einstein's General Theory of Relativity, the basis vectors do not have a single point of origin in the traditional sense.

The basis vectors in relativity represent the coordinate system used to describe the curvature of spacetime. They are not physical objects with a fixed position in space, but rather mathematical constructs that help us understand the relationship between space and time. Therefore, the uncertainty principle does not apply to them in the same way as it does to physical particles.

Furthermore, the concept of bosonic and fermionic particles is not directly related to the basis vectors in relativity. These terms refer to the quantum mechanical properties of particles, while relativity deals with the macroscopic behavior of gravity and spacetime. So, introducing the idea of bosonic or fermionic basis vectors would not be applicable in this context.

In conclusion, the basis vectors of Einstein's General Theory of Relativity do not have a single point of origin and the uncertainty principle does not apply to them in the same way as it does to physical particles. Introducing the concept of bosonic or fermionic basis vectors would not be relevant or necessary in this theory.