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Though, armor value formula in Skyrim is... bad. Really, really bad.
Every piece of gear has a hidden +25 armor bonus that the game doesn't tell you about, and it won't show up in the armor rating value (shields also count for this hidden bonus). Additionally, a matching set (All Iron, all steel, all Elven, etc), provides a +25% bonus to armor rating provided by the matching pieces of set. Clothing and robes do not provide any hidden bonuses of any sort.
Additionally, any (true) armor value below 300 is pretty much pointless and contributes next to nothing, while after that 300 point, the damage reduced by armor rating increases exponentially. 300 armor value reduces physical damage by only around 15%, while another 300 for a total of 600 reduces it by nearly 70% - almost 5x more than the points before it.
Also, 80% damage reduction by armor value is the hard cap. Anymore than that does nothing. This is incredibly easy to get with light armor if you just temper your equipment with decent smithing and wear a matching set if you keep in mind the hidden +25 bonus for each piece of armor by default.
You'll reach the armor cap at 542 displayed armor rating when wearing all four pieces of armor and a shield,
567 without a shield,
or 667 when not wearing any armor or shield at all.
This has all been tested many times over the years. There isn't anything hidden about how the mechanics work. The hidden armor rating for armor pieces exists. There is an armor cap, and his numbers about it are correct. Both light and heavy armor can reach the armor cap. It is easier to do with heavy armor, of course, but light armor can reach it as well.
When it comes right down to it, the differences will be mostly visual and perks. For perks (assuming all are taken), light armor has better stamina regen and has a 10% chance to avoid all damage from a melee attack. Heavy armor lessens the amount of stagger that happens to you, reflects 10% of melee damage you take (but unlike the light armor perk, you actually take the damage), halves falling damage, and boosts unarmed damage. Heavy armor gives you more bonuses, but the bonuses of light armor are likely better.
I like light armor for not having a movement speed reduction regardless of skill, and for the Stamina Regen. Fall Damage reduction of Heavy armor is mostly meaningless (you generally take a tickle or its instant death) as I just use the invincibility shout before jumping a cliff.
Stamina regen is useful even on a pure mage for lots and lots of sprinting.
Light Armour is generally considered to have the better perks (although the perk that causes some of the damage to reflect back on who is attacking you in Heavy Armour is good too) while Heavy Armour looks better.
But as you start to level and invest in their respective perks, Light will eventually provide much higher than its base protection (as will Heavy); Heavy will lose its weight penalties without sacrificing protection (as will Light); and eventually, one's as good as the other. The only difference will be which you invested more in. In my experience it only really matters early and mid through your playthrough. They both end up in the same place, really.
Skyrim is very hand-holdy and very much an example of a game that doesn't "let" you screw up. Some might take umbrage with that assessment, but it's true and I say it as a fan not a detractor.
https://en.uesp.net/wiki/Skyrim:Heavy_Armor
Yeah that's true, I do dislike being practically railroaded in to taking that unarmed damage perk.
Unarmed damage perk makes the few brawls you have to do easier.
Fall damage reduction can save your characters life (it has saved me several times from having to reload an earlier save when it left me with a few points of health)
And Heavy Armour looks better than Light Armour, for example Carved Nordic Armour is some of the nicest looking in the vanilla game, while most Light Armour leaves me looking for a mod or three to improve them...
It's like the devs decided that "conditioned" should cost three points for "balance purposes" or whatever.