There seems to be a proof that carrying in a pocket on the Sabbath is permitted.
This is because the Gemara in Bava Batra says one who steals a pocket book on Shabat and carries it out is obligated to pay back because the prohibition of Shabat and theft happen at different times.
But if he drags it out, then he is not obligated. קם ליה בדרבא מיניה.
Now if the object in the bag was considered different then that bag itself then the two sins would be happening at different times. The object or money in the bag would be considered to have been taken in terms of Shabat and the bag as far as acquisition would precede it.
So when the Gemara says the object in terms of acquisition goes with the bag then the same applies to Shabat.
So when on Shabat one is allowed to walk in a public domain with a pocket sewn into one's coat the object in the pocket is also considered to be in the pocket not in the public domain.
I think this fact was note in Far Rockaway in Shar Yashuv when we were learning אלו מערות where the same mishna comes up.
If you would hold a direct connection between acquisition and Shabat, then in fact carrying in a pocket would not be allowed because a bag does not acquire in a public domain. But a pocket might very well be better than a bag. The case of the man that throws a divorce into the bag of his wife shows that a pocket that is connected with one's body is different that a bag one is holding.
[The Mishna says she is divorced but the Gemara puts a few conditions like that the bag has to be connected with her. Incidentally the Rashbam on page 85 in Bava Batra does mention this question in terms of acquisition-- whether the thing in the vessel is thought to be in the vessel or in the larger domain. Putting that together with what the sages say about throwing the divorce into the bag of the wife to me seems to indicate that a pocket in thought part of the person -not the domain. [That is Rav Yehuda in the name of Shmuel, and others.]
This is because the Gemara in Bava Batra says one who steals a pocket book on Shabat and carries it out is obligated to pay back because the prohibition of Shabat and theft happen at different times.
But if he drags it out, then he is not obligated. קם ליה בדרבא מיניה.
Now if the object in the bag was considered different then that bag itself then the two sins would be happening at different times. The object or money in the bag would be considered to have been taken in terms of Shabat and the bag as far as acquisition would precede it.
So when the Gemara says the object in terms of acquisition goes with the bag then the same applies to Shabat.
So when on Shabat one is allowed to walk in a public domain with a pocket sewn into one's coat the object in the pocket is also considered to be in the pocket not in the public domain.
I think this fact was note in Far Rockaway in Shar Yashuv when we were learning אלו מערות where the same mishna comes up.
If you would hold a direct connection between acquisition and Shabat, then in fact carrying in a pocket would not be allowed because a bag does not acquire in a public domain. But a pocket might very well be better than a bag. The case of the man that throws a divorce into the bag of his wife shows that a pocket that is connected with one's body is different that a bag one is holding.
[The Mishna says she is divorced but the Gemara puts a few conditions like that the bag has to be connected with her. Incidentally the Rashbam on page 85 in Bava Batra does mention this question in terms of acquisition-- whether the thing in the vessel is thought to be in the vessel or in the larger domain. Putting that together with what the sages say about throwing the divorce into the bag of the wife to me seems to indicate that a pocket in thought part of the person -not the domain. [That is Rav Yehuda in the name of Shmuel, and others.]