On "Hacker News" someone wrote today [1] that transformers in LLMs work like
the Hamiltonian in Quantum Mechnics because prediction of the next token in the
sequence is determined by computing the next context-aware embedding vector
from the last context-aware embedding vector alone, similar to the Hamiltonian
matrix which is applied in Quantum Mechanics in the Schrödinger equation to the
high dimensional state vector in a Hilbert space to predict the next state of
the quantum system [2]. This would imply that the human mind works like Quantum
Mechanics if LLMs describe the functionality of the prefontal cortex. If the
Hamiltonian represents the “energy dynamics”, what do the LLM values represent?
The learned experience?Robert Watson who is a Professor of the Humanities at
the University of California Los Angeles, writes in his fascinating book
"Cultural Evolution and its Discontents" (2018) that "the human mind resembles
a nuclear reactor: amazingly generative within the little containment dome, but
always at risk of running fatally amok in a meltdown, and ceaselessly producing
toxic waste" [3]. The toxic waste can be for example hallucination, imagination
or simply lies.So is the human mind similar to Quantum Mechnics or does it
resemble a nuclear reactor?-J. [1]
https://news.ycombinator.com/item?id=40038352[2]
https://en.wikipedia.org/wiki/Hamiltonian_(quantum_mechanics)[3] Robert N.
Watson, Cultural Evolution and its Discontents, Routledge, 2018
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