# How Galilean relativity transformation produces inconsistency with classical physics

1. Sep 6, 2009

### Prophylaxis

Hi, I am a novice here and i am trying to solve the following problem:
1.Show that Galilean relativity transformation produces inconsistent classical physics result when used with equation of expansion of light sphere. (2 different frames)

2. x2 = x1 - vt1
y1 = y2
z1 = z2
t1 = t2

expansion of light sphere: x12 + y12 + z12 - ct12 = 0
x22 + y22 + z22 - ct22 = 0

3. I have substituted the Galilean transformation equations in the later expansion of the light sphere equations:
x12 + y12 + z12 - ct12 = 0
x22 + y22 + z22 - ct22 = 0

x12 + y12 + z12 - ct12 = 0 = x22 + y22 + z22 - ct22

x12 + y12 + z12 - ct12 = x22 + y12 + z12 - ct22

x12 - ct12 = x22 - ct22

x12 - ct12 = (x1 - vt1)2 - ct22

x12 - ct12 = x12 - 2vt1 + v2t12 - c2t22

So far I have not been able understand the inconsistency and it's bothering me. I do know about Lorentz contraction, but don't know where the inconsistency is? Is there something wrong with my thought process? Thanks in advance.

2. Jan 31, 2010

### PFStudent

Re: How Galilean relativity transformation produces inconsistency with classical phys

Hey,

An interesting problem, anyone have a solution to it?

Thanks,

-PFStudent