{"work":{"id":"322e66ee-0bab-4cac-b747-2af3daaaaa2b","openalex_id":null,"doi":null,"arxiv_id":"1306.0622","raw_key":null,"title":"Black holes and the butterfly effect","authors":null,"authors_text":"S","year":2013,"venue":"hep-th","abstract":"We use holography to study sensitive dependence on initial conditions in strongly coupled field theories. Specifically, we mildly perturb a thermofield double state by adding a small number of quanta on one side. If these quanta are released a scrambling time in the past, they destroy the local two-sided correlations present in the unperturbed state. The corresponding bulk geometry is a two-sided AdS black hole, and the key effect is the blueshift of the early infalling quanta relative to the $t = 0$ slice, creating a shock wave. We comment on string- and Planck-scale corrections to this setup, and discuss points that may be relevant to the firewall controversy.","external_url":"https://arxiv.org/abs/1306.0622","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-25T19:46:10.323686+00:00","pith_arxiv_id":"1306.0622","created_at":"2026-05-09T06:00:37.506307+00:00","updated_at":"2026-05-25T19:46:10.323686+00:00","title_quality_ok":true,"display_title":"Black holes and the butterfly effect","render_title":"Black holes and the butterfly effect"},"hub":{"state":{"work_id":"322e66ee-0bab-4cac-b747-2af3daaaaa2b","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":28,"external_cited_by_count":null,"distinct_field_count":3,"first_pith_cited_at":"2019-06-20T06:21:23+00:00","last_pith_cited_at":"2026-05-14T17:58:16+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-05-30T14:11:10.329566+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":10},{"context_role":"other","n":1}],"polarity_counts":[{"context_polarity":"background","n":9},{"context_polarity":"support","n":1},{"context_polarity":"unclear","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}