Why is a U.S. citizen required to submit a Chinese name for tourist visa application?

I am a law abiding US citizen who is making my first trip to China as a tourist. I am asked to provide something I no longer have -- a Chinese name, to obtain an entry permit. As I explained, I don't have a passport or a birth certificate from Taiwan. I have been in the U.S. for more than 30 years and have been a U.S. citizen for more than 20 years. I don't have any documents that contain a Chinese name anymore,

I am also wondering why it is so important to submit a Chinese name? Is this a requirement for all U.S. citizens? Or, is it a discrimination to people with Chinese origin?

PS. Perhaps I missed it, I have not seen any mentioning of submitting a Chinese name on your website.

Please advise any other option. Thank you for your help.

Sincerely,
Cynthia Hsieh