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In this work, we propose the \\textit{Spectral Sensitivity Theorem}, which predicts a phase transition in deep networks from a dispersive regime (signal decay) to an attractor regime (rank-1 collapse) governed by layer-wise gain and alignment. We validate this theory by analyzing the eigenspectra of activation graphs in Whisper models (Tiny to Large-v3-Turbo) under adversarial stress. Our results confirm the theoretical prediction: intermediate models exhibit \\textit{Structural Disintegration} (Regime I), characterized by a $13.4\\%$ collapse in Cross-Attention rank. Conversely, large models enter a \\textit{Compression-Seeking Attractor} state (Regime II), where Self-Attention actively compresses rank ($-2.34\\%$) and hardens the spectral slope, decoupling the model from acoustic evidence.","title":"From Dispersion to Attraction: Spectral Dynamics of Hallucination Across Whisper Model Scales","url":"https://arxiv.org/abs/2604.08591","vendor":"arxiv_cs_ai"},"summary":"arXiv:2604.08591v2 Announce Type: replace-cross \nAbstract: Hallucinations in large ASR models present a critical safety risk. In this work, we propose the \\textit{Spectral Sensitivity Theorem}, which predicts a phase transition in deep networks from a dispersive regime (signal decay) to an attractor regime (rank-1 collapse) governed by layer-wise gain and alignment. We validate this theory by analyzing the eigenspectra of activation graphs in Whisper models (Tiny to Large-v3-Turbo) under adversarial stress. Our results confirm the theoretical prediction: intermediate models exhibit \\textit{Structural Disintegration} (Regime I), characterized by a $13.4\\%$ collapse in Cross-Attention rank. Conversely, large models enter a \\textit{Compression-Seeking Attractor} state (Regime II), where Self-Attention actively compresses rank ($-2.34\\%$) and hardens the spectral slope, decoupling the model from acoustic evidence.","title":"From Dispersion to Attraction: Spectral Dynamics of Hallucination Across Whisper Model Scales","vendor":"arxiv_cs_ai"},"confidence":{"method":"deterministic"},"decision":"POSITIVE","issued_at":"2026-06-29T04:44:03Z","notes":"Spider vendor_press (news) news.vendor_press.v1","object":{"captured_by":"crovia.spider.vendor_press","primary_source_url":"https://arxiv.org/abs/2604.08591"},"predecessors":[],"schema":"crovia.axiom.v1","signature":"ed25519:1db5881eadc4649b8c15cf58506549ed20a3ebaf53cf00f7add037a659be0f9cffcd37c1df1ac3dd2784def19f859fcde33c352ba0c9fa697a5ecbc3af52b40d","signer":"crovia.substrate","subject":{"observed_at":"2026-06-29T04:44:03Z","source_collector":"spider:vendor_press","target_id":"https://arxiv.org/abs/2604.08591"},"tsa":{"authority":"crovia.substrate.bootstrap","rfc3161_token":"{\"kind\":\"crovia.bootstrap.tsa\",\"source_jsonl\":\"/opt/crovia/spider/data/news/vendor_press_v1.jsonl\",\"source_seal_merkle_root\":\"spider_vendor_press_v1\",\"upgrade_path\":\"Sessione H \\u2014 OpenTimestamps weekly anchor\"}"},"zk_mode":"clear","zk_proof":null},"ledger":{"leaf_hash":"3c4c20b83c7af6acdf747037aeb6722a3f5f28ecb9a17984045d2019edc883f6","leaf_index":261517,"ledger_path":"/opt/crovia/substrate/axiom_ledger.jsonl"},"merkle_proof":{"hash_alg":"sha256","leaf_prefix":"0x00","node_prefix":"0x01","odd_leaf_rule":"duplicate_last","path":[{"sibling":"3e9f983944593a3d77efdec82f234fa023f786b1e2eb505e78f970dd74e382f2","side":"left"},{"sibling":"ca3c2d9258d9b86ff7adb0264f0810b254c887f8a39f6ed86d3276e3cc482442","side":"right"},{"sibling":"1941674535830c4634454a9a4bc98784a73099a79147b79568d435c7d88c09c3","side":"left"},{"sibling":"ffd2bc9bff7da51bde11d10cf82ae8ec3710aa86e3af0e4fa008675af19b4a35","side":"left"},{"sibling":"1475e27d27a64eb1794a22c50e5eec74582646ab78c415d36a955e410767c203","side":"right"},{"sibling":"10c5a683549a2b5f04f99eb583a39ef678d0d07407d49815cc3568dd41933710","side":"right"},{"sibling":"68a8ff8f71247734930721fd8fb46d5601c2f438645b61686958db9f099baa00","side":"right"},{"sibling":"6541e04390f40ec94bca13a445548c91511634a5ffb1a1a6cce967da56056afd","side":"left"},{"sibling":"6d1df65d14253ed3a13c03e25aa9adcd9a091d8062a82e8586bcaee74013b90e","side":"left"},{"sibling":"9f9daa9d12e65b219f34c92aec45450536b79a42b8892050d66961432ae28ed1","side":"right"},{"sibling":"b5725d7b0807dc6da32d9788f20057fa8726be38d30a9ebdabc605ae92739122","side":"left"},{"sibling":"e321b2cac14cbe28f76ccb7938249a40ff60cd5d2128b5634be046ea10e984b8","side":"left"},{"sibling":"5900dc6c7d13855af9d0385baf1691ec386df33e450c422af1cabe0a36e40ad8","side":"left"},{"sibling":"ae636ddee98c71ab7a7dc55ddfab70c7f710a2b6abfdf7a8b5d16a4017d1c0d1","side":"left"},{"sibling":"f29798d8bb6aa9900eab878992d9ff0c53266debd87472f31ab26a6a3fb55880","side":"left"},{"sibling":"a04392fb9f2a3a620840e3b3fecd93d12e6d224e481c162389d8ae64e7194599","side":"left"},{"sibling":"c300cf0154c136afc09b1702a0be98f4ba5b6dc5cf57e8cc714ec1eaf4196eff","side":"left"},{"sibling":"d841ad93efda0869e5eb97678f348f03f5caab4353e05ff4bf18f47fb945b822","side":"left"}]},"schema":"crovia.axiom_proof.v1","seal":{"first_collector_run_id":"","first_receipt_hash":"","jsonl_path":"/opt/crovia/substrate/axiom_ledger.jsonl","key_id":"430895f101d38164","last_collector_run_id":"","last_receipt_hash":"","leaf_count":261662,"merkle_root":"aa8865c239aa2eb6c8aa7c6250f56b3cd5709854a8a07f6a29eb4ddd8802cb6f","public_key_hex":"cf742e26f75669dc673cb5c0786a1ae23ae8ca19c347317192ce40c28a7ff25c","run_id":"hourly_json_retrofit_20260629T053701Z","schema":"crovia.seal.v1","seal_family_version":"crovia-seal-family/1","seal_kind":"substrate_batch","sealed_at":"2026-06-29T05:38:02Z","sig_algorithm":"ed25519","signature":"476329233e82fb35fba2552ddc5d1d75b2bdd8513bbd281e9c40a0b8e475df374a62dcd8b456b0c5e8815984f5b4bf0983ae95d2cf4d7412ebb13a433b933c0a","signer_version":"1.1.0"},"trust_root":{"key_id":"430895f101d38164","public_key_hex":"cf742e26f75669dc673cb5c0786a1ae23ae8ca19c347317192ce40c28a7ff25c","signature_algorithm":"ed25519","url":"/registry/canon/TRUST_ROOT.md"},"verifier":{"spec":"/registry/canon/AXIOM_RECEIPT_v1.md","url":"/v/axm_ce294de782817cef6e0b352263e9d6809bb1430f653de14ca1d67513e7dbd5bc"}}