user-1: I've read a few answers and concluded that for most of these answers, concentration in meditation often implies unawareness of peripheral stimuli. This confuses me. I usually have wisps as thoughts rather than full blown thinking in meditation, but I don't particularly become unaware of my environment. 
Is such an experience very advanced? More so, does unawareness imply literally not seeing/hearing/etc. or merely not being solicited by such distractions?
Finally, I'm wondering whether the diminution of thoughts in itself means little. Is attention placed upon the object consistently more important than thought reduction? For example, I can imagine attention being close to the object but thoughts (e.g. about the object) arising, but I can also imagine a thoughtless person's attention being fragmented, directed without focus. Is any of these more important?
Thank you

user10100: 
The practitioner can't remember any object of unawareness mind, sleeping, but he can clearly remember every object, mind, and mind factors of concentration meditation.
Unawareness mind, sleeping, is a resultant (Vipaka), but concentration meditation is karma (Karma).
Unawareness mind, sleeping, doesn't give any resultant, but concentration meditation gives resultants.
Unawareness mind is sleeping, ignoring the object, but concentration meditation is doing 30-36 jobs to the object.

Concentration meditation is strongly thinking of the only one object. It doesn't stop to think. Only unconsciousness mind, sleeping, is not thinking and the concentration meditation is not  unconsciousness mind.

user-1: 
I've read a few answers and concluded that for most of these answers,
  concentration in meditation often implies unawareness of peripheral
  stimuli. This confuses me. I usually have wisps as thoughts rather
  than full blown thinking in meditation, but I don't particularly
  become unaware of my environment.

Well, it does depend very much on what sort of concentration you want to achieve.
The concentration that leads to unawareness is absorption concentration. And that is not the type you want if you want to go for enlightenment. So, absorption is not the concentration of the Noble 8-fold Path.
Think about it. We all were and are absorbed in all kinds of stuff: reading, watching a movie, absorbed in thoughts, and so on. If absorption would be the way, half the planet would be enlightened.
The type of concentration the 8-fold Path speaks about is more of peaceful, unwavering composure of the mind. It is not focused on one particular thing, it is not absorbed. Some monks compared the needed concentration to the Hubble telescope (wide lens, wide field of awareness), it's not a laser.
The mind is unwavering, it keeps united and has the entire experience in one sight, so to speak. Think of a person standing on the top of a mountain being able to see everything with one look. That's what's meant with one pointedness.
And then, whatever thoughts, sights, sounds, smells, tastes or touches appear, it really doesn't matter. Because they are all caught in that one field of awareness. And since they are all in one picture there is no need for the mind to jump here or there, as it is with laser pointed concentration.
But again, depends on what you want to achieve.

Is such an experience very advanced? More so, does unawareness imply
  literally not seeing/hearing/etc. or merely not being solicited by
  such distractions?

Well, what do you call advanced? It really depends on the goal, doesn't it.
And yes, unawareness means not seeing, hearing and so on. Nice exercise, but completely useless for one who wants to achieve enlightenment. 

Finally, I'm wondering whether the diminution of thoughts in itself
  means little. Is attention placed upon the object consistently more
  important than thought reduction? 

Again, it depends on what you want to achieve.
There is no need to get rid of thoughts, if that's what you're asking. On the contrary, the first jhana is thinking and pondering. So, thinking and pondering on the right things. Example would be metta meditation, where you direct your attention to the thoughts of well wishing. And when there is momentum, the thoughts will continue automatically and attention can be directed at pity and sukkha, the next jhana. And so on.
But all the correct jhana have in common that they hold steady, once correctly established, so that you can go about your daily business without the mind starting to waver. Meaning you can be walking around, sitting, lying down, do the dishes, whatever, the mind will keep this unwavering quality.
Hope this helps.

user12842: Concentration is a poor translation of samadhi. Samadhi means meditative state. And right samadhi is one with strong mindful awareness. Deep samadhi is a state of absorption into the meditation object. 
There are also characteristic states of samadhi called jhanas which generally implies prominence of a particular mental quality (physical pleasure, mental joy, contentment and equanimity). However, the depth of each of these varies and are often debated between schools. This brings in the classification between commentarial jhanas (very deep states) vs sutta jhanas (just enough absorption to investigate phenomena).
Some schools prefer complete absorption as you imply in your question. Others, just enough absorption to have stable attention and plenty of awareness for insight practices. Certain suttas imply this sort of samadhi:

Monks, secluded from sense pleasure... a monk enters and dwells in the first jhana. He steeps, drenches, fills and suffuses his body with the rapture and happiness born of seclusion, so that there is no part of his entire body that is not suffused with this rapture and happiness. Just as a skilled bath-attendant or his apprentice might strew bathing powder in a copper basin, sprinkle it again and again with water, and knead it together so that the mass of bathing soap would be pervaded, suffused, and saturated with moisture inside and out yet would not ooze moisture, so a monk steeps, drenches, fills and suffuses his body with the rapture and happiness born of seclusion, so that, there is no part of his entire body that is not suffused with this rapture and happiness born of seclusion. (D.i,74) 

There are two ways we typically know the presence of thoughts (The Mind Illuminated by John Yates PhD et. al). Attention and awareness. You attention can be stably on the breath and you mindful awareness can see thoughts and distraction come and go. This shows maturity of practice and there is a sense of standing aback and watching the breath. Thoughts stop arising as you consistently ignore them. It's a learned behaivour (unification of the mind aka citta-ekagatta) where the mind system is together working on stabilizing attention and observing the meditation object. This is the required amount of samadhi per a lot of teachers to begin insight training as your mind is now a sharp sword that can cut through anything without getting caught up.
Further and more in depth discussion on this topic can be found here: 

https://www.accesstoinsight.org/lib/authors/gunaratana/wheel351.html
http://www.leighb.com/jhanas.htm

The bottom line though is that samadhi is a joyful, restful, alert and mindful state. It should ideally be nourishing and nurturing.

-1: <p>I've read a few answers and concluded that for most of these answers, concentration in meditation often implies unawareness of peripheral stimuli. This confuses me. I usually have wisps as thoughts rather than full blown thinking in meditation, but I don't particularly become unaware of my environment. </p>

<p><strong>Is such an experience very advanced? More so, does unawareness imply literally not seeing/hearing/etc. or merely not being solicited by such distractions?</strong></p>

<p>Finally, I'm wondering whether the diminution of thoughts <em>in itself</em> means little. <strong>Is attention placed upon the object consistently more important than thought reduction?</strong> For example, I can imagine attention being close to the object but thoughts (e.g. about the object) arising, but I can also imagine a thoughtless person's attention being fragmented, directed without focus. <strong>Is any of these more important?</strong></p>

<p>Thank you</p>
 10100: <ol>
<li>The practitioner <strong>can't remember</strong> any object of unawareness mind, sleeping, but he can <strong>clearly remember</strong> every object, mind, and mind factors of concentration meditation.</li>
<li>Unawareness mind, sleeping, is a resultant (Vipaka), but concentration meditation is karma (Karma).</li>
<li>Unawareness mind, sleeping, doesn't give any resultant, but concentration meditation gives resultants.</li>
<li>Unawareness mind is sleeping, <strong>ignoring the object</strong>, but concentration meditation is <strong>doing</strong> 30-36 jobs to the object.</li>
</ol>

<p><strong>Concentration meditation is strongly thinking of the only one object. It doesn't stop to think.</strong> Only unconsciousness mind, sleeping, is not thinking and the concentration meditation is not  unconsciousness mind.</p>
 -1: <blockquote>
  <p>I've read a few answers and concluded that for most of these answers,
  concentration in meditation often implies unawareness of peripheral
  stimuli. This confuses me. I usually have wisps as thoughts rather
  than full blown thinking in meditation, but I don't particularly
  become unaware of my environment.</p>
</blockquote>

<p>Well, it does depend very much on what sort of concentration you want to achieve.
The concentration that leads to unawareness is absorption concentration. And that is not the type you want if you want to go for enlightenment. So, absorption is not the concentration of the Noble 8-fold Path.</p>

<p>Think about it. We all were and are absorbed in all kinds of stuff: reading, watching a movie, absorbed in thoughts, and so on. If absorption would be the way, half the planet would be enlightened.</p>

<p>The type of concentration the 8-fold Path speaks about is more of peaceful, unwavering composure of the mind. It is <strong>not</strong> focused on one particular thing, it is <strong>not</strong> absorbed. Some monks compared the needed concentration to the Hubble telescope (wide lens, wide field of awareness), it's not a laser.
The mind is unwavering, it keeps united and has the entire experience in one sight, so to speak. Think of a person standing on the top of a mountain being able to see everything with one look. That's what's meant with one pointedness.</p>

<p>And then, whatever thoughts, sights, sounds, smells, tastes or touches appear, it really doesn't matter. Because they are all caught in that one field of awareness. And since they are all in one picture there is no need for the mind to jump here or there, as it is with laser pointed concentration.</p>

<p>But again, depends on what you want to achieve.</p>

<blockquote>
  <p>Is such an experience very advanced? More so, does unawareness imply
  literally not seeing/hearing/etc. or merely not being solicited by
  such distractions?</p>
</blockquote>

<p>Well, what do you call advanced? It really depends on the goal, doesn't it.
And yes, unawareness means not seeing, hearing and so on. Nice exercise, but completely useless for one who wants to achieve enlightenment. </p>

<blockquote>
  <p>Finally, I'm wondering whether the diminution of thoughts in itself
  means little. Is attention placed upon the object consistently more
  important than thought reduction? </p>
</blockquote>

<p>Again, it depends on what you want to achieve.
There is no need to get rid of thoughts, if that's what you're asking. On the contrary, the first jhana is thinking and pondering. So, thinking and pondering on the right things. Example would be metta meditation, where you direct your attention to the thoughts of well wishing. And when there is momentum, the thoughts will continue automatically and attention can be directed at pity and sukkha, the next jhana. And so on.</p>

<p>But all the correct jhana have in common that they hold steady, once correctly established, so that you can go about your daily business without the mind starting to waver. Meaning you can be walking around, sitting, lying down, do the dishes, whatever, the mind will keep this unwavering quality.</p>

<p>Hope this helps.</p>
 12842: <p>Concentration is a poor translation of samadhi. Samadhi means meditative state. And right samadhi is one with strong mindful awareness. Deep samadhi is a state of absorption into the meditation object. </p>

<p>There are also characteristic states of samadhi called jhanas which generally implies prominence of a particular mental quality (physical pleasure, mental joy, contentment and equanimity). However, the depth of each of these varies and are often debated between schools. This brings in the classification between commentarial jhanas (very deep states) vs sutta jhanas (just enough absorption to investigate phenomena).</p>

<p>Some schools prefer complete absorption as you imply in your question. Others, just enough absorption to have stable attention and plenty of awareness for insight practices. Certain suttas imply this sort of samadhi:</p>

<blockquote>
  <p>Monks, secluded from sense pleasure... a monk enters and dwells in the first jhana. He steeps, drenches, fills and suffuses his body with the rapture and happiness born of seclusion, so that there is no part of his entire body that is not suffused with this rapture and happiness. Just as a skilled bath-attendant or his apprentice might strew bathing powder in a copper basin, sprinkle it again and again with water, and knead it together so that the mass of bathing soap would be pervaded, suffused, and saturated with moisture inside and out yet would not ooze moisture, so a monk steeps, drenches, fills and suffuses his body with the rapture and happiness born of seclusion, so that, there is no part of his entire body that is not suffused with this rapture and happiness born of seclusion. (D.i,74) </p>
</blockquote>

<p>There are two ways we typically know the presence of thoughts (The Mind Illuminated by John Yates PhD et. al). Attention and awareness. You attention can be stably on the breath and you mindful awareness can see thoughts and distraction come and go. This shows maturity of practice and there is a sense of standing aback and watching the breath. Thoughts stop arising as you consistently ignore them. It's a learned behaivour (unification of the mind aka citta-ekagatta) where the mind system is together working on stabilizing attention and observing the meditation object. This is the required amount of samadhi per a lot of teachers to begin insight training as your mind is now a sharp sword that can cut through anything without getting caught up.</p>

<p>Further and more in depth discussion on this topic can be found here: </p>

<ol>
<li><p><a href="https://www.accesstoinsight.org/lib/authors/gunaratana/wheel351.html" rel="nofollow noreferrer">https://www.accesstoinsight.org/lib/authors/gunaratana/wheel351.html</a></p></li>
<li><p><a href="http://www.leighb.com/jhanas.htm" rel="nofollow noreferrer">http://www.leighb.com/jhanas.htm</a></p></li>
</ol>

<p>The bottom line though is that samadhi is a joyful, restful, alert and mindful state. It should ideally be nourishing and nurturing.</p>
