The Poisson bracket in L_infty formulation of field theory is computed via the Peierls formula from the symplectic structure, illustrated in p-adic string theory with a homological algebra interpretation of the inverse relation.
Initial value problem in string-inspired nonlocal field theory,
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Hawking radiation terminates around the scrambling time due to trans-Planckian stringy effects in GUP and string-field-theory-inspired toy models, yielding negligible evaporation and a mostly classical black hole.
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Poisson bracket and $L_\infty$ algebras
The Poisson bracket in L_infty formulation of field theory is computed via the Peierls formula from the symplectic structure, illustrated in p-adic string theory with a homological algebra interpretation of the inverse relation.