einstone said:
As already mentioned, you can describe a particle inside a gravitational potential making use of the Schrödinger equation. However, if you want to describe the gravitational field or gravitational potential generated by quantum particle you have no proper equations nor a theory to do that. In chapter 14 of R. Wald's "General Relativity", a simple argument is given why this cannot work with the current physics (a "quantum" particle and "classical" gravitation): The (classical) gravitational field should spread according to the particles' wavefunction. The instantaneous wavefunction collapse would lead to a superluminal propagation of the changes of the field. To describe this properly a quantum field theory for gravitation (or quantum gravity) would be needed in which the superposition principle would be also valid for the gravitational field.einstone said:
Good Heavens! Never mind the equations, but is there not even a consistent theory? I thought I'd solve the problem & generalise it step by step to include Relativistic Gravitation ,then Dirac's equation & ...!hellfire said:
The gravitational potential of a chargeless particle is defined as the amount of work required to move the particle from infinity to a specific point in space, in the presence of a gravitational field. It is measured in joules per kilogram (J/kg).
A chargeless particle is used as a theoretical concept to understand the behavior of particles in a gravitational field without the added complexity of electrical interactions. This allows scientists to isolate and study the effects of gravity on a particle, making it easier to understand the fundamental principles of gravitational potential.
The gravitational potential of a chargeless particle confined in a box can be calculated using the formula V = -GM/r, where G is the gravitational constant, M is the mass of the particle, and r is the distance from the particle to the center of the box. This formula only applies for particles that are small compared to the size of the box and are not interacting with any other particles.
The term "Einstone" is a play on words, combining the names of two famous scientists - Albert Einstein, known for his theory of general relativity which explains the behavior of gravity, and Sir Isaac Newton, known for his law of universal gravitation. This term is often used in a humorous or informal manner to refer to the concept of gravitational potential.
The gravitational potential of a chargeless particle confined in a box is affected by the size and mass of the box. As the particle gets closer to the center of the box, the potential energy decreases, and as it moves away, the potential energy increases. The shape and orientation of the box can also affect the gravitational potential of the particle.