The Universe as a Minified Bundle

Okay, let's start a new game where we try to guess the prompt that produced this text.

My guess would be "Write a 2000 words blog post based on the analogy between the difficulty of understanding the laws of physics and minified source code."

It's a cool analogy, no doubt, but reading the 2000 words of the article, I felt there was no substance or flesh around it. Okay there were some examples vaguely related to the analogy, and writing was smoothish, but what was the message in the end? What were the new ideas (beyond the analogy)?

Every time I read a LLM generated long form text I am reminded of the communication engineering: communication channels can only decrease the information content. For example, in the communication setup:

Alice sends msg --encode--> codeword --channel--> codeword' --decode--> msg' Bob received

The best we can hope for is that the message was transmitted faithfully, so msg' = msg, since the channel noise can only degrade the information content, specifically, the mutual information is a non-increasing function:

I(msg;codeword') ≤ I(msg;codeword),

due to the monotonicity of information (a.k.a. data processing inequality).

Similarly, if Alice uses LLM to communicate to Bob, we have:

Alice's idea --encode--> prompt --LLM--> generated text --decode--> idea'

Monotonicity of information tells us

I(idea;generated text) ≤ I(idea;prompt).

So I really don't get it, why do people believe that adding LLM generation step could improve the commu […]