When i turn on the radio transmitter, arduino nano disconnects

I have not even tried to run the code because as soon as I turn on the remote control, Arduino disconnects from the PC and therefore does not even allow me to load it

Eh ?

So, looking at the diagram, the Nano is powering the servos ?

https://drive.google.com/file/d/1ErQngBz-Ibq8D0XEAQAmH2VJU0twe_2b/view?usp=sharing
this is link of the video demonstration

Arduino powers the entire receiver

What if the Arduino is powered from a USB wall charger, instead of computer?

like that how do i check if it works. when i connect arduino to the computer i know that there is something wrong because the Arduino disconnects from the computer, but it stays on

I suppose, by looking at the LEDs on the Nano. In the video they were flashing wildly. You didn't say anything about it, but I assume that is an error state, especially if the Nano is only programmed with a "blink sketch" at the moment.

You should also try applying supplementary power, some known good source of 5V, to power both the Arduino and receiver. Then, you should still be able to plug in and program via the USB.

I applied an external power source to the Arduino, but the problem persists. I tried to use another Arduino nano, but the problem also exists on the second nano board. I tried to use Arduino uno instead and there it works without problems, I would like to know how it is possible

So post more details. Engineering details. You didn't comment at all about the LEDs behaviour, too.

the rx led of Arduino flashes continuously only when I turn on the remote control

Aha, same as the original problem behaviour... now if you will just post the details of your test...

There are many kinds of external power sources, and many ways to apply them to the Arduino...

https://drive.google.com/file/d/1IVED9avumILrFXa5T2Y7KUTrgiNf9Se2/view?usp=sharing
this is the video showing Arduino nano powered from another source

I notice the manufacturer doesn't list any supply current. I looked for that because I thought maybe the Nano can't supply enough power. Can you try applying 5V power via the 5V pin on the Nano, instead of using the USB jack? The Nano has a diode in the supply circuit that the UNO does not have. It reduces the supply voltage a little bit. This could be part of the problem.

You should really try to get a hold of a DMM, though...

In the video, you show that the transmitter can read the receiver voltage. What is displayed when it is enabled and the Nano is flashing?

it is shown that the voltage of the receiver is 4.7V

What does it show when the Uno is connected?

If you have an Uno, you can use it as a source of 5V to test the Nano. Connect 5V to 5V, gnd to gnd.

do you mean before Arduino starts flashing?

No, during or while it is flashing.

OK I try now

while arduino flashes, the remote control indicates that the 5V link passes 4.6V

It might be futile, if the receiver is not working though, then it can't report voltage reliably.