Lorentz transformations derived using dimensional analysis?

[jason12345]

What's the problem with using dimensional analysis to derive the Lorentz transformations?

[DaleSpam]

How would you do that?

[Born2bwire]

EDIT: Man I misread that.

[Daverz]

I'm not sure dimensional analysis would even require the transformations to be linear.

The minimum for deriving the LTs are

1) Homogeneity of space and time.
2) Isotropy of space.
3) Causality.
4) Principle of relativity.