Gravitational Casimir effect

Area of Science:

• Theoretical physics
• Quantum field theory
• Condensed matter physics

Background:

• The Casimir effect is a physical phenomenon predicted to occur between objects due to quantum fluctuations.
• The gravitonic Casimir effect, a hypothesized extension, considers gravitational interactions.
• Previous studies often idealized boundary conditions, limiting applicability to real-world scenarios.

Purpose of the Study:

• To derive the gravitonic Casimir effect considering non-idealized boundary conditions.
• To quantify the gravitonic contribution to the Casimir effect in ordinary matter.
• To investigate the enhanced gravitonic Casimir effect in superconductors due to the Heisenberg-Coulomb effect.

Main Methods:

• Derivation of the gravitonic Casimir effect with realistic boundary conditions.
• Quantification of the effect in ordinary matter.
• Analysis of the Heisenberg-Coulomb effect's influence on the gravitonic Casimir effect in superconductors.

Main Results:

• The gravitonic Casimir effect is found to be negligible in ordinary matter.
• A significantly enhanced gravitonic Casimir effect is predicted in superconductors under the Heisenberg-Coulomb effect.
• The study provides a theoretical framework to test the Heisenberg-Coulomb theory and the existence of gravitons.

Conclusions:

• The gravitonic Casimir effect is practically unobservable in everyday materials.
• Superconductors offer a potential avenue for detecting the gravitonic Casimir effect, contingent on the Heisenberg-Coulomb effect.
• This research proposes an experimental test for the existence of gravitons and the validity of the Heisenberg-Coulomb theory.