Right:
Astus wrote:1) What does synchronicity stand for in this case? 2) If the teacher is in a particular state that in fact nobody else can sense or touch in any way how does that influence those who attempt to be in the same state? 3) Or even if both teacher and students are in the same state how is that related to each other? 4) What is the connection between the state of the teacher and the students if not anything perceptible?
1) We have the 5 sites' attributes, teacher, student, teaching/transmission, location/space & time. This concerns the last, time, and it just means both the giver and receiver are present and intending their roles concurrently at the same.
2) That would be a complete failure on one or both ends and rarely happens. Also see reply to 4)
4) I will answer 4) first to make 3) clearer. There can be varying levels for what the student receives. At the lowest level it is more than a blessing, ie: a karmic connection that is made and later in life or in another lifetime, 'hopefully' soon within 16 or much sooner not the usual eons, the student will reconnect with Ati and/or that teacher successfully realizing rigpa. ChNNR says the least is you'll have a much more relaxed life. Also a powerful master can help remove certain obstacles and by following his tantra after, purification is much more effective. In a mid-level scale one tries to undertake Vajrayana practices with a Dzogchen POV which elevates them to wholely different levels. You know the lower levels, Kyria Carya Yoga Maha and Anu have different aims and purposes and mechanisms. Even doing them now with an Ati POV makes them much more effective as well as multi-dimensional by helping one progress faster and within Ati too. The lowest form at this mid-level is merely doing tantra/terma/etc. with the intellectual POV of Dzogchen and higher still would be from an experiential POV of Dzogchen and higher would be extending that into all life. Gradually first then longer periods then into sleep and a great master is in total integration all the time, waking or asleep, or just not in non-distraction for a very few moments when waking up or falling asleep. But this is the ultimate. So when even nothing is perceptible still things are happening. Often a master does not know what is happening deep within a student so they reserve judgement. Somebody who apparently didn't get it and might even be doing weird or very normal things might be already realized without knowing and ready to take off more or merely show it or getting ready to be realized soon despite appearances. Another who seems to have got it and/or seems the perfect student or even a teacher himself, might not have got it or might never get it, falling badly later or in another lifetime. So that is why even great teachers without unbound omniscience (unlike probably very few like Karmapa or Dudjom) reserve judgement on who is what and at what condition 'deeply', while as a good master knowing on the surface and mid-levels what is happening to the student and where he is at and what is needed for that student next. Of course in a few cases of students many masters sense or have brief visions/signs of a great (tulku or of great destiny/purpose) or bad case before them but these are exceptional. But something always does happen at some level.
3) That depends on the level attained by the student. In essence if successfully introduced, they are in the same state. But there are different levels of realization of Rigpa for different people so each successful case is at a certain level. Having said that basically if successful for that short time regardless of grades, in Dharmakaya, both are the same. But then is all there in Dharmakaya however that teacher took you there not Shakyamuni or Padmasambhava and you are only there because you are non-dual with him briefly. So once in dharmakaya there is no individuals but it is not the Advaita theory of complete oneness either. It is neither many nor one, neither existence nor non-existence, etc. But the student and teacher are continuous (yoga). They tell us these things can not be conceptualized and are only to be known by being experienced like a virgin experience. Thus we hear!
I need to get back to looking for an obscure device driver.

Dzogchen masters I know say: 1)Buddhist religion essence is Dzogchen 2)Religions are positive by intent/fruit 3)Any method's OK unless: breaking Dzogchen vows, mixed as syncretic (Milanese Soup) 4)Don't join mandalas of opponents of Dalai Lama/Padmasambhava: False Deity inventors by encouraging victims 5)Don't debate Ati with others 6)Don't discuss Ati practices online 7) A master told his old disciple: no one's to discuss his teaching with some others on a former forum nor mention him. Publicity's OK, questions are asked from masters/set teachers in person/email/non-public forums~Best wishes