I Classical Newtonian Physics: Space & Time Independence

[Dimani4]

Hi folks,

Tell me please why in classical Newtonian physics one can say that the space and time are independent? But we have equations of motion which clearly show this dependence (x=Vt; x=x0+1/2at^2+v0t).

Thank you.

 

[PeroK]

Hi folks,

Tell me please why in classical Newtonian physics one can say that the space and time are independent? But we have equations of motion which clearly show this dependence (x=Vt; x=x0+1/2at^2+v0t).

Thank you.

That's not dependence between time and space. That's a dependence between time and the position of a particle that is moving at a specific velocity.

 

[m4r35n357]

Hi folks,

Tell me please why in classical Newtonian physics one can say that the space and time are independent? But we have equations of motion which clearly show this dependence (x=Vt; x=x0+1/2at^2+v0t).

Thank you.

There is no "t=Ax" term in Newtonian relativity, so this means that time is only coupled to space in one regard (the one that you mention). SR puts this term in, so is really a generalization of Galilean relativity. The term it puts in is responsible for differences in simultaneity between observers.

 

[stevendaryl]

Two facts about Newtonian spacetime that are both different from the spacetime of Special Relativity are:

1. The time between two events is the same in every reference system.
2. If two events are simultaneous, then the distance between them is the same in every reference frame.

 

[haushofer]

If you have a Cartesian frame {xy}, the x and y-directions are linear independent. But this doesn't mean we cannot introduce functions y(x), i.e. curves describing a relation between x and y.