Cross-cluster search in Elasticsearch allows a user to send a search query that targets both local and remote clusters. The process starts when the search request is received. The system identifies which clusters to query, including the local cluster and any remote clusters specified by name. The query is sent to the local cluster first, then to the remote clusters. Each cluster processes the query and returns results. These results are collected and merged, typically sorted by relevance or timestamp. Finally, the combined results are returned to the user as a single response. Variables like local_results and remote_results hold partial results before merging. The combined_results variable holds the final merged data. If a remote cluster does not respond, only local results are returned. The syntax for remote queries requires prefixing the index with the remote cluster name, such as 'remote_cluster:index'. This feature enables seamless searching across multiple Elasticsearch clusters from one query.