Quantum Field Theory In Curved Spacetime: Quant... May 2026

: Strong gravitational fields near a black hole's event horizon polarize the vacuum, causing the black hole to emit thermal radiation and gradually lose mass.

In flat (Minkowski) spacetime, Poincaré invariance provides a unique vacuum state and a global definition of "particles". In curved spacetime, these "crutches" disappear: Quantum Field Theory in Curved Spacetime: Quant...

bj=∑i(αjiai+βji*ai†)b sub j equals sum over i of open paren alpha sub j i end-sub a sub i plus beta sub j i end-sub raised to the * power a sub i raised to the † power close paren If the "mixing coefficient" βjibeta sub j i end-sub is non-zero, the vacuum of the first observer ( : Strong gravitational fields near a black hole's

: Because global constructs like Fourier transforms are unavailable, QFTCS must be formulated locally using quantum field operators rather than particle counts. 2. Mathematical Framework: Bogoliubov Transformations 2. Mathematical Framework: Bogoliubov Transformations