The words haze, hays sound the same but have different meanings and spellings. Why do haze, hays sound the same even though they are completely different words?
The answer is simple: haze, hays are homophones of the English language.
Plural form of hay.
Third-person singular simple present indicative form of hay.
Atmospheric moisture, dust, smoke, and vapor that diminishes visibility.
A partially opaque covering: Let the polish dry to a haze before buffing it.
A vague or confused state of mind.
To become misty or hazy; blur.
Definitions from Wiktionary, Creative Commons Attribution/Share-Alike License, from The American Heritage® Dictionary of the English Language, 4th Edition and Wordnik.
Homophones (literally "same sound") are usually defined as words that share the same pronunciation, regardless of how they are spelled.