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jdege
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As long as no-one knows that you use the date.

That is, of course, the problem. Once the bad guys figure out that you're using the date, you've no security to speak of, because there aren't enough dates to make impractical to try them all.

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The moment Bob decrypts the message, all memory of the keys is lost.

I'm not sure how you envision the system being able to generate a "shared date/time encryption key" in a way that neither Alice or Bob couldn't replicate on their own. Everybody in the world knows both Alice and Bob's public keys, so everyone in the world would be able to recreate the shared date/time key.
When cryptography is outlawed, bayl bhgynjf jvyy unir cevinpl.
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Keys That Disappear, Forever? · Debates