Does Apple make lightning to hdmi adapter for 3840x2160 resolution- For 4K monitor. And is yes, where can I buy it?

The adapter QuickTimeKirk provided is what Apple sells which will permit you to connect your own HDMI cable to the adapter, which goes into your iPhone via the Lightning port.

It outputs at 1080P, and you suggest you want one which outputs in 4K. Apple doesn't sell such an Adapter. I did see some on Amazon however and you will still need to supply your own HDMI cable to an Adapter, which then plugs into your iPhone.

see if this will help sort your issue

https://www.apple.com/shop/product/MD826AM/A/lightning-digital-av-adapter

if not type details into a Amazon search and you will see other choices as well

You tried what exactly?

This might serve the purpose you are looking for --> https://www.amazon.com/Certified-Lightning-Charging-Compatible-Projector/dp/B085F4RL5S/ref=sr_1_8?dchild=1&keywords=lightning+to+hdmi+4k&qid=1607097477&sr=8-8

An iPhone is not a 4K device.

You're missing the basic concept here.

I use a 4K via HDMI for my Mac. No value sending a signal that is not 4K.

Best you could expect is 1080.

I did not read the reviews. I gave you an option. It's up to you to read the reviews. I'm not doing your research for you. I was trying to help. Which I am now not going to bother with.

You do realize we are just users like you here, don't you? We don't get any compensation for trying to help people.

You didn't say you researched anything on your own. You simply asked if Apple makes a 4K adapter with lightning connection.

You have a great day as well and I hope you find what you're looking for, but in reading QuickTimeKirk's replies to you, it appears what you want, even if you find the capability you are seeking may not provide any additional value for you.

From the responses you continue to give, sounds like this forum is not a good fit for you and you should perhaps look elsewhere, hope you are able to solve your issue with a different group of folks. We are just trying to assist.

Does your TV support Airplay?

Most modern TV's don't have a tuner so they are considered monitors, too.

What company made your display?