Division by Zero (Part III)

In my last post, I used the Time Dilation to prove the division by zero. However, some of the people who read my blog told me that they still don't really understand the proof. So, in this post, I will explain the theory again.

Firstly, what is Galilean Relativity? Take a look at the graph below.

In the graph, observer A in (a) is in a moving vehicle and is throwing a ball upward. The path in (a) is observed by observer A. However, to a stationary observer (observer B), the path observed is the path in (b). Einstein applied this theory to the light beam in Time Dilation. The frame A below is (a) in the above graph while B is (b) in the graph.

Frame A                                                             Frame B

Now we have a clearer image on Galilean Relativity, we can understand the Time Dilation of Special Relativity easier. I hope you still remember the formula of Time Dilation.

Now, sub v=c into the formula, we get:

We had discussed about the division by zero error before. Bhaskara Achārya defined that n/0 = . So, how did time go infinite? Take a look at the picture below.

In the picture, 

θ is the angle between the ground and the path of which the light beam travels. The relationship between 

θ and the velocity is as below:

Let's suppose the height of the device is 1m, the proper time is 1s and it travels at the speed of light. Sub those information into the formula of Time Dilation, we get:

Since v=c,

. Sub that into the formula, we get:

So, the angle between the path and the ground is 0. So, the light beam will never meet A', or we can say that it will take time to travel from A to A', then to B. That's why n/0 is equal to

.