How we can apply Gravity in Quantum Mechanics

How we can apply Gravity into Quantum Mechanics

To bring classical physics and Quantum theory in a same line we have to bring them under a same platform with certain measurements. We have to bring Classical Physics into microscopic level or Quantum Mechanics into macroscopic level or these two under a same platform. According to me microscopic or macroscopic dimensions are influencing the reference frame of the observer. Here I am trying to bring them under a same dimension in two different frames of an observer in a same platform. I think that it is possible if we bring Gravity as a main component in these two branches of physics. So I am trying to insert gravity in these two. Gravity is already described in Classical physics. So we can start from it.

                             Here I am going to start from Newton and his theory of Gravity. We know that

                                                                                     (1)

All we know that every objects with mass (Energy) show its own gravity. Now imagine an object at space. We can calculate its gravity by the equation

                                                                                                (2)

                             

Now we can bring this object into Earth’s surface. At this time the gravity will be equation (1). But at the same time the objects gravity will be equation (1). Anyhow we can work with the concept that the object is at the space for more clarity and the equation (2) as its gravity. So equation (2) states        g = Gm/ r ². By this we can bring out mass {m} and write as

                                                                                              (3)

                             

 Now we can think about the total energy of the object at rest.

   So, E = mc²                                                      (4)

                                 

 Here I am going to hide the mass from equation (4) and insert equation (3) instead of mass. So we can write it as

                                                     (5)

                                   

So here we bring gravity, universal gravitational constant and radius of the object in equation (3) instead of mass. While we are bringing gravitational constant “G”, the object is being a part of universal gravity. So it can be macroscopic or microscopic according to the distance between the object and the observer. The important thing is that the object is just become a part of the total gravity of the universe. Here the platform of the object is the total energy of the universe and its gravity.

                             Now we will go through Quantum Theory and try to insert gravity and universal constant of gravity in it. While I am reading some articles, I get noticed some points of De Broglie relation and the possibilities to insert the gravity in it. So we can work with De Broglie relation and it states,

                                                                            (6)

                             

by using Special Relativity, the equation (6) can be written as

                                 (7)

Here m₀ is the rest mass of the object.

Now we can bring equation (5) to equation (7) and it can be written as

                                                

                                            (8)

And we can say simply as

                                                                           (9)

Here also we bring the universal gravitational constant into the equation and the particle into the platform of universal gravity.

By this we can bring the classical and quantum physics under a same platform.

                 According to me the fundamental of universe is the energy. It has its own properties and will not change even if it is macroscopic or microscopic object. And laws of motion is also unchangeable. 

Aloysius Sebastian

aloysi.aloys@gmail.com