Abstract
This study critically reevaluates the Harlow-Hayden (HH) solution to the
black hole information paradox and its articulation in the firewall paradox.
The exploration recognizes the HH solution as a revolutionary approach in black
hole physics, steering away from traditional constraints to depict the event
horizon as a computational rather than a physical barrier. The paper first maps
the initial physical dilemma that instigated the HH journey, introducing Alice,
an observer facing intricate computational challenges as she approaches the
black hole. I then depict the evolution of the narrative, describing how Alice
was facilitated with a quantum computer to surmount the computational
challenges and further detailing the augmented complexities arising from the
integration of the physical dynamics of the black hole. Yet, HH's research
applies the AdS/CFT correspondence to explore the dynamic unitary
transformation in solving the firewall paradox through decoding Hawking
radiation. However, it identifies a contradiction; the eternal perspective of
black holes from the AdS/CFT theory challenges the firewall paradox's
foundation. Finally, I narrate a paradigm shift as HH reframes Alice's task
within the realms of error-correcting codes, illustrating a remarkable
transition from a physical problem in black hole physics to a computational
predicament in computer science. The study revisits pivotal moments in
understanding black hole physics ten years later through this reexamination.
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