[johnye (OP)]

Abstract: This paper presents a new microscopic extension to the Coulomb’s law --- a formula that describes how electron and nucleus interact each other within atom world. Based on this Coulomb’s law extension, a new atom model is proposed. Compared with current electron-cloud model and with old Bohr model, this model is most like atom’s real physical structure. Using this new model and basic integral calculation, the spectrum of hydrogen gas and the spectrum of ionized helium gas are successfully derived.

[alancalverd]

No. The hypothesis rests on your statement "it is well known that" which is untrue - you have assumed it.

Here is an equally valid model:

It is well known that you are an octopus. An octopus is capable of operating a keyboard. You have operated a keyboard. We can see from your paper that you are fluent in English and mathematics, so we must conclude that it was written by a well educated octopus.

To test the model, we will make a prediction: you will respond to this post in fluent English.

More seriously, whilst a spherical distribution of s shell electrons consists with experiment, your model predicts spherical orbitals for all atoms, thus invalidating the whole of stereochemistry from the boiling point of water to DNA.

[Bored chemist]

Compared with current electron-cloud model and with old Bohr model, this model is most like atom’s real physical structure

In what way is it "most like  atom’s real physical structure".