Further down the search results page, we’ll find some more related terms like “global warming,” “greenhouse gas emissions,” etc. These are the words and phrases that appear next to our main keyword term in most of the texts.
Google does not use latent semantic indexing.
To all those who have asked Google whether or not to use LSI keywords, Google representative John Mueller gave a short response once and for all:
"John Mueller tells us there are no LSI keywords
Google does not use LSI keywords
The reason is simple: LSI is an outdated technology . LSI is a patented germany mobile database technology , published in 1988 the patent expired in 2008.
Google doesn’t need to use a process like LSI because it has more advanced algorithms that prioritize high-quality and authoritative content over content that compromises readability and undermines visitor trust.
So why do people associate Google with latent semantic analysis?
We are certain that Google's search engine distinguishes between polysemous words and synonyms. For popular queries, at least several results on the SERP should cover approximately the same aspects of the topic, because Google successfully recognizes the keyword and distinguishes between polysemous words of course, when you specify it, but also based on your search history, and even interprets the intent of the query to draw the most relevant text.