A toy model shows that cosmic topology alters the bound-state energy of a 3D Dirac delta potential by a coefficient C_Γ=6 for the 3-torus and C_Γ=4 for the half-turn space, suppressed by exp(-L/g_R).
For example, the fundamental domain corresponds to the cubic region {(x,y,z )∈ R3|−L/2≤x,y,z ≤L/2} with the observer positioned at the cube’s center
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Probing the Universe's Topology through a Quantum System?
A toy model shows that cosmic topology alters the bound-state energy of a 3D Dirac delta potential by a coefficient C_Γ=6 for the 3-torus and C_Γ=4 for the half-turn space, suppressed by exp(-L/g_R).