One way to think of it is that Heavy armor has a maximum allowed Dexterity bonus of -5, and very high base AC. It looks kind of weird, but it's consistent mathematically.And if I don't receive then in heavy why should I get it in medium or light?
In case of heavy armor the lack of dexterity modifier means that most of your protection comes from the armor's ability to deflect and absorb blows and not from agility. The armor will protect you enough that your feeble dexterity won't count, but due to it's bulk your bonuses won't count either. Such abstraction happens if the system merges evasion, dodging, parrying and armor in a single Armor Class vlue.So I assume Dex represents moving around in combat, then the lack of Dex mod in heavy armor means the chracter doesent move around? If yes, why should the character receive the npenalty in M and L armor?
When you wear heavy armor, it weighs you down so much that your movement to dodge or parry is essentially a non-factor. When the ninja puts on plate armor, it slows her down to the point where she's no more evasive than the slowest brute with Dexterity 1 (and a modifier of -5).So I assume Dex represents moving around in combat, then the lack of Dex mod in heavy armor means the character doesn't move around? If yes, why should the character receive the penalty in M and L armor?
I think the thing is that light, medium, and no armor ACs assume a lot of your protection comes from your ability to move around. Heavy armor completely supplants that assumption with a flat AC. So yeah, heavily armored characters are not moving around in a defensive way.So per RAW, negative modifier counts.But how about as sensible ruling? So I assume Dex represents moving around in combat, then the lack of Dex mod in heavy armor means the chracter doesent move around? If yes, why should the character receive the npenalty in M and L armor?

(Dungeons & Dragons)
Rulebook featuring "high magic" options, including a host of new spells.