How do Lorentz transformations show the relationship between time and space?

[kor]

Although in Lorentz transformation, we can see that x'= related to x and t
What i don't understand is that
this is the transformation between different frame
If in a single frame
how time and space are related ?

 

[tiny-tim]

hi kor!

If in a single frame
how time and space are related ?

they aren't …

my time may be a mixture of your time and your space, but it isn't a mixture of my time and my space

 

[kor]

hi kor!


they aren't …

my time may be a mixture of your time and your space, but it isn't a mixture of my time and my space

Oh
ic
And that only absolute way to connect your time and space to mine
is spacetime,right?

 

[tiny-tim]

And that only absolute way to connect your time and space to mine
is spacetime,right?

i'm not sure what that means

the way to connect your time and space to mine (if we have different velocities) is through the Lorentz transformation

 

[harrylin]

Although in Lorentz transformation, we can see that x'= related to x and t
What i don't understand is that
this is the transformation between different frame
If in a single frame
how time and space are related ?

In a single frame they are unrelated; this is the same as in Newton's mechanics. And note that already in the Galilean transformation we have x' related to x and t.

Cheers,
Harald