> For the complete documentation index, see [llms.txt](https://v2tech.noahlabs.io/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://v2tech.noahlabs.io/2.mathematical-derivation-of-hmm-model-and-quantum-entropy-reduction/2.2-black-hole-mechanism-and-the-thermodynamic-death-of-lp-tokens.md).

# 2.2 Black Hole Mechanism and the Thermodynamic Death of LP Tokens

Concept: The black hole address 0x00...dEaD/ (0x00...0000) is an address that no one can access or own a private key. Sending an LP Token to this address means that its ownership is permanently relinquished.

Let be <img src="https://2096417827-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FVV3RAUlJy4vEOxonkqUC%2Fuploads%2FhVbYeDjI3XAX68qqzu86%2Fimage.png?alt=media&amp;token=dbe23ffb-d1a0-4969-bcc2-d1ebf2ab9a27" alt="" data-size="line"> the total amount of LP Tokens in circulation at time t.The burn generated <img src="https://2096417827-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FVV3RAUlJy4vEOxonkqUC%2Fuploads%2F6wM6mfcWNMp2ZOhJsCEt%2Fimage.png?alt=media&amp;token=abfa1949-8fb0-4955-9dbf-d66a08d03393" alt="" data-size="line"> by each transaction is.

![](https://2096417827-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FVV3RAUlJy4vEOxonkqUC%2Fuploads%2FOVaVcC1Yqa4wpUsXjEjx%2Fimage.png?alt=media\&token=57169501-28bb-4b09-a3c2-75658474a35b) Therefore <img src="https://2096417827-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FVV3RAUlJy4vEOxonkqUC%2Fuploads%2FhKRERYzDy3O4m8dbaVxY%2Fimage.png?alt=media&amp;token=42a6bc3d-7f33-454b-8407-987e9d0a08e3" alt="" data-size="line">, is a monotone <img src="https://2096417827-files.gitbook.io/~/files/v0/b/gitbook-x-prod.appspot.com/o/spaces%2FVV3RAUlJy4vEOxonkqUC%2Fuploads%2FuJ8IkWyFxsCQo4BdjGZL%2Fimage.png?alt=media&amp;token=1e5272f4-67bb-4b21-8d71-db452bc67787" alt="" data-size="line">decreasing sequence.

Economic significance: LP Tokens serve as ownership certificates for pool assets. Destroying LP Tokens establishes a permanent, non-revocable mechanism to transfer partial pool asset ownership from humans (carbon-based) to smart contracts (silicon-based). This embodies the survival principle that 'liquidity is life-sustaining oxygen.'

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