The words independence, independents sound the same but have different meanings and spellings. Why do independence, independents sound the same even though they are completely different words?
The answer is simple: independence, independents are homophones of the English language.
The state or quality of being independent.
Archaic Sufficient income for comfortable self-support; a competence.
Plural form of independent.
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").