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DM_Blake when I read the post from Jason B you linked to, I take away the opposite message. He says that it could have been clearer, but nothing about stealth denying dex being an incorrect interpretation of the rules. I remember this post from back when he first made it and made a note in my hard copy rules that this includes stealth. I went back now and reread it again a couple times.
This IS a piece of the rules, yes it is a lttle vague, but it is there. Byakko just layed out how putting together with other rules language gets us to stealth denying Dex. A developer has said that is how this meant to be interpreted. How is is interpreting a piece of the rules in a way the developers intended a house rule? To me ignoring the piece of text in question would be a house rule at this point.
And if the target is denied their dex bonus, why couldn't a character with Sneak Attack use it? "The rogue's attack deals extra damage anytime her target would denied a Dexterity bonus to AC" from the rogue's Sneak Attack description.

In the Combat chapter/Combat Statistics/Armor Class: "Sometimes you can't use your Dexterity bonus (if you have one). If you can't react to a blow, you can't use your Dexterity bonus to AC."
That seems to be a piece of RAW to justify a successful stealth denying dex bonus.

As far as stealthing after combat begins, why not hold your action until some distracting event happens (like a fire ball). "If your your observers are temporarily distracted (such as by Bluff check) you can attempt to use Stealth." Note Bluff is just one example, doesn't say that's the only thing that can be used. Anything as distracting as "hey look, trolls" should be considered. Untimately this would be a GM call on what is and isn't distracting enough.

I would say no because this is a specific magic effect that is designed to counter things like invisibility and says it "cannot be removed and continues to sparkle until it fades". And otherwise a creature that can cast Invisibility at will could just recast it the next round.
I disagree with you Matthew that this spell gives off light. While "sparkle" can mean that it gives of light like sparks. It can also mean somthing is highly reflective and "sparkles" like a diamond or glitter. The second seems the more likely based on the name of the spell and "A cloud of golden particles".
Also absent from the spell description are some of the things one would expect from a light producing spell, such as the [light] descriptor, info on how much light is given off or how the spell interacts with darkness. Compare to the description of Faerie Fire.

Personally, I'd rather that the ability to bend the universe to your will be more powerful than the ability to be confined by the laws of universe.

What I would like to see though, are more classes that are magical, but not spellcasters. Something like the monk, but with more choices.

I agree with you on both parts, but especially the second sentence. It's one of the things I like about the alchemist. And it's why I strongly dislike suggestions by some on these boards and in my gaming group that the alchemist should be just "another spellcaster".

I should have quit reading this thread after I read the FAQ about the witch and Prestige class.

Well rules wise we have our answer. One supporting reason thematically is that arcane spells and divine spell are different when made into scrolls, even if the same spell. The same reason a wizard/magus can't use a divine scroll to copy to his/her spell book is the same reason the Mystic Theurge can't copy the divine spell, memorized in the arcane slot, to his/her spell-book.

Allowing any craft/profession skill to be used for any item, isn’t supported by anything I can see in this feat or in the rulebooks, neither from a strict rules reading moving to more thematic explanations,
First, as I stated before this feat does not allow you to substitute your craft/profession skill for spellcraft or for any other. People may want it to work that way, but it doesn’t.
The standing item creation rules require you to use spell craft or the listed craft/profession skills. Note that the listed craft/profession skills are relevant to the magic items being created, implying that unless using spellcraft your ability to actually create that type of item matters. When you read Craft Wondrous Items part in the Magic Item Creation Chapter it lists “applicable Craft or Profession skill check”. This doesn’t mean ANY craft or profession skill. It seems logical here to look to all the previous magic item types for an idea of what “applicable” means (however being that this isn’t strictly defined I can see this being used as hole through which to drive a munchkin semi-truck).

Next look at the descriptions for Creating Magic Weapon and Creating Magic Armor which are functionally identical.
“To create” a magic weapon/ magic armor, “a character needs a heat source and some iron, wood, or leatherworking tools.” He/She “also needs a supply of materials, the most obvious being the” weapon/armor “or the pieces of the” weapon/armor “to be assembled.”
All the other magic items have similar language.
So in some cases you are just enchanting pre-made stuff, in other your are putting it together. It seems logical that the characters using spellcraft are probably using more fully assembled items and the characters using craft/profession skills are using them to insert some of magical materials and techniques during assembly. Of course this is just thematic explanation, but regardless there is nothing here to support using one type of crafting type skill to make a different type item.

Thank you Drachasor. Arcane Sight suggests also that the default for spell like abilities is that they are arcane.
Link to Arcane Sight

If you concentrate on a specific creature within 120 feet of you as a standard action, you can determine whether it has any spellcasting or spell-like abilities, whether these are arcane or divine (spell-like abilities register as arcane), and the strength of the most powerful spell or spell-like ability the creature currently has available for use.

While this isn't saying they are arcane, it is saying the appear arcane. I think it would be kind of silly for them to be divine and appear arcane.

The Universal Formula extract wouldn't need to specifically exclude infusions, if personal range extracts were already excluded from that discovery.

Here is what Paizo Creative Director James Jacobs had to say about it.
James Jacobs on Illusion of Calm

The spell moves with you, but makes it look like you're simply sliding over the ground. It masks what you're really doing. It's not meant to trick folks into thinking you're not doing anything as much as it is meant to simply mask what you ARE doing. It masks any action, and therefore prevents folks from making attacks of opportunity; it's kind of a "poor man's invisibility" spell in a lot of ways. Foes are not flat-footed against your attacks.

The spell's pretty specific in what it does. Don't let the flavor of the spell's name or its in-game description trick you into thinking it does anything more than what it does—prevent attacks of opportunity when you cast a spell, make a ranged attack with a thrown weapon, or move out of your first square during a move action.[/url]

Remember Table 7-12 is for COMMON Armor, Weapon, and Shield Hardness and Hit Points. Common materials for weapons are wood and steel which matches with the hardness of 5 and 10 respectively. We shouldn't expect that a chart for common weapons to be referring to the hardness of special materials as well.

Also, there seems to be a recurring idea that because Detect Magic is a 0 level spell that can (poorly and only partially) counter invisibility, which is two levels higher, that makes it unfair or unbalanced. But there are examples of other lower level spells being a counter or potential barrier to higher level ones. For example some spells related to the detecting and invisibility:
See Invisibility (3rd level) counters(completely) Greater Invisibility (4th level).
Magic Aura (1st level) counters (completely) Arcane Sight (3rd level).
Would people have these nerfed as well?
And am I missing something or why are characters who have access to Invisibility which is 2nd level, not also using Magic Aura which is 1st level (and lasts for a day per level) to hide their aura? This seems like an easy fix, if worried about Detect Magic or Arcane Sight.

so if an Alchemist obtains an actual potion thru an NPC vendor or in some loot that he/she does not currently have the recipe(does not have the spell)for in his formula book can he/she commit further study/hold the potion longer and deduce the recipe? or perhaps using his Alchemy Kit and Craft Alchemy skill break the potion down into identifiable components?

No, there is a specific magic item called the Formula Alembic that lets you do this.