Experimental Mathematical Induction

According to mathematical induction (MI), if , , then . Many theorems can be proved using MI. Can we use MI method to test physical theories? This will generalize MI to experimental mathematical induction (EMI).

Suppose that theory T is tested at place A and it was found true. Let B be in an inaccessible place where the theory cannot be directly tested. It is assumed that the theory holds at B. Then the theory is tested at another place C which is accessible and it was found true. This will b prove that the theory is everywhere true and hence the laws of physics hold everywhere.

The theory T can also be tested in time. Suppose that theory is tested at present and it is found true. It is assumed it was true in the past. An experiment was performed at a later time and it was found true. Therefore the laws of physics also hold at all times.