Black Hole Interior from Loop Quantum Gravity

Table 1

𝑔𝜇𝜈	Semiclassical	Classical
−𝑁^2(𝑡)	−𝛾^2𝛿^2[(𝛾𝛿𝑚2𝑡^2)^2+1]1−(1+𝛾^2𝛿^2)[1+𝛾^2𝛿^2+1−(2𝑚/𝑡)^1+𝛾2𝛿2(1+𝛾^2𝛿^2−1)1+𝛾^2𝛿^2+1+(2𝑚/𝑡)^1+𝛾2𝛿2(1+𝛾^2𝛿^2]−1)^2	−1(2𝑚/𝑡)−1
𝑋^2(𝑡)	(2𝛾𝛿𝑚)^2(1−(1+𝛾^2𝛿^2)[1+𝛾^2𝛿^2+1−(2𝑚/𝑡)^1+𝛾2𝛿2(1+𝛾^2𝛿^2−1)1+𝛾^2𝛿^2+1+(2𝑚/𝑡)^1+𝛾2𝛿2(1+𝛾^2𝛿^2]−1)^2)𝑡^2(1+𝛾^2𝛿^2)^2(1−[1+𝛾^2𝛿^2+1−(2𝑚/𝑡)^1+𝛾2𝛿2(1+𝛾^2𝛿^2−1)1+𝛾^2𝛿^2+1+(2𝑚/𝑡)^1+𝛾2𝛿2(1+𝛾^2𝛿^2]−1)^2)^2[(𝛾𝛿𝑚2)^2+𝑡^4]	2𝑚𝑡−1
𝑌^2(𝑡)	1𝑡^2[(𝛾𝛿𝑚2)^2+𝑡^4]	𝑡^2