StringTheoryisan“S-matrix”theory.Itrequiresasymptoticallycoldboundaries.
Flatsupersymmetricbackgrounds?Yes
AntideSitterspace?Yes
deSitterspace?No
Whatcanwelearnfromblackholes?
Butsomethinggrows
Butit’snotentropy.
Computationalcomplexitygrowslongafterthermalequilibriumwhenentropyreachesitsmaximum.
Computationalcomplexityofquantumstate=ActionofWheelerDeWittpatch.
Itgrowslinearlywith(boundary)time.
Action=Mt
SamefordeSitter?Notquite.
𝐴𝑐𝑡𝑖𝑜𝑛 = 𝑚,t
𝐴𝑚𝑝𝑙𝑖𝑡𝑢𝑑𝑒 = 𝑒2345
𝐹𝑇 = 8 𝑒2 39: 5 =1
𝑚 − 𝜔(𝑚 = 𝑚,)@
A
Note:𝑚, isslightlycomplex.
Theneutronisaresonanceinascatteringamplitude.
𝐴𝑐𝑡𝑖𝑜𝑛 ≈ Λ� 𝑡
𝐴𝑚𝑝 = 𝑒2 C� 5
𝐹𝑇 = ∫ 𝑑𝑡𝑒2 C� 9: 5 =1
𝜔 − Λ�
deSitterasaResonanceJonathanMaltz,LS
Note:Lambdaslightlycomplex(ColemanDeLuccia)
AdeSittervacuumisametastablestatethatmanifestsitselfasapoleinatransitionamplitudeconnectingstateswithasymptoticallyflat(supersymmetric)boundaryconditions.