The words insurgence, insurgents sound the same but have different meanings and spellings. Why do insurgence, insurgents sound the same even though they are completely different words?
The answer is simple: insurgence, insurgents are homophones of the English language.
The action or an instance of rebellion; an insurrection.
Plural form of insurgent.
People rising in revolt against established authority, especially a government.
Plural of insurgent.
Definitions from The American Heritage® Dictionary of the English Language, 4th Edition, from Wiktionary, Creative Commons Attribution/Share-Alike License and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.
If they are spelled the same then they are also homographs (and homonyms); if they are spelled differently then they are also heterographs (literally "different writing").