Electrons will exhibit wave nature and fly off the antenna as photons. So here we have the energy conversion from matter to wave. Correct? Correct.
I think the quote below answers that pretty well.
The electrons themselves do not fly off the antenna. They simply radiate energy when they experience acceleration and deceleration. This can effectively be quantified as a resistive loss but the bi-product is not heat. It is radiation.
Current flows but the electrons only move back and forth over a small distance, they don't actually flow around and around the ground and antenna. They might move only a few millimeters or centimeters.
The question is: HOW do you displace the electrons from ground plane to the antenna? For you to move electrons you need a difference of potential between the antenna and the ground plane. According to your explanation, every transmitter is a static pump and nothing more.
A static pump is a good analogy for how the oscillator pumps electrons to and from the ground plane in and out of the antenna, although static probably isn't the right word as the electrons are always moving.
How do you induce current in a wire connected at one end only, if it was stated that antenna is NOT capacitively coupled with the ground plane?
Because the ground plane has self capacitance which is not reliant on being coupled to the antenna or anything else.
If you run a Van de Graaff generator until it charges to say 100kV, stand on a non-conductive plastic box and touch the charge dome, a spark will leap towards your finger and you'll receive a shock.
Why can thsi happen you're not grounded?
The answer is the electrons flow from the charged dome (assuming its negatively charged) into your body until the charged is balance.
Where do all those electrons come from?
The earth. The Van de Graaff generator pumps electrons from the earth into the metal dome making it negatively charged. If you now touch the earth, you'll receive another shock as the electrons flow from your body back into the earth.
If you replaced the Van de Graaff generator with a high frequency AC source such as a Tesla coil, a sustained arc will form between you and the dome.
Why? You're not earthed, as you're standing on a plastic box.
The Tesla coil pumps electrons back and forth between you and the earth at a high frequency so the charges never balance.
The same thing happens with a transmitter, antenna and the ground plane, it just shifts electrons between the antenna and the ground plane, no electrons whiz off into space. The electrons don't get converted to radiation. Energy is required to overcome the resistance to moving the elections back and fourth which is mostly converted to radiation.