The following quotations are not from dzogchen teachers, but are still relevant since many Buddhist masters of the old have directly criticized non-Buddhist/eternalist view about consciousness or "nature".
I'll be glad if people can post quotations from Dzogchen masters who have criticized such wrong views before.
From Bendowa, by Zen Master Dogen
Some have said: Do not concern yourself about birth-and-death. There is a way to promptly rid yourself of birth-and-death. It is by grasping the reason for the eternal immutability of the 'mind-nature.' The gist of it is this: although once the body is born it proceeds inevitably to death, the mind-nature never perishes. Once you can realize that the mind-nature, which does not transmigrate in birth-and-death, exists in your own body, you make it your fundamental nature. Hence the body, being only a temporary form, dies here and is reborn there without end, yet the mind is immutable, unchanging throughout past, present, and future. To know this is to be free from birth-and-death. By realizing this truth, you put a final end to the transmigratory cycle in which you have been turning. When your body dies, you enter the ocean of the original nature. When you return to your origin in this ocean, you become endowed with the wondrous virtue of the Buddha-patriarchs. But even if you are able to grasp this in your present life, because your present physical existence embodies erroneous karma from prior lives, you are not the same as the sages.
"Those who fail to grasp this truth are destined to turn forever in the cycle of birth-and-death. What is necessary, then, is simply to know without delay the meaning of the mind-nature's immutability. What can you expect to gain from idling your entire life away in purposeless sitting?"
What do you think of this statement? Is it essentially in accord with the Way of the Buddhas and patriarchs?
You have just expounded the view of the Senika heresy. It is certainly not the Buddha Dharma.
According to this heresy, there is in the body a spiritual intelligence. As occasions arise this intelligence readily discriminates likes and dislikes and pros and cons, feels pain and irritation, and experiences suffering and pleasure - it is all owing to this spiritual intelligence. But when the body perishes, this spiritual intelligence separates from the body and is reborn in another place. While it seems to perish here, it has life elsewhere, and thus is immutable and imperishable. Such is the standpoint of the Senika heresy.
But to learn this view and try to pass it off as the Buddha Dharma is more foolish than clutching a piece of broken roof tile supposing it to be a golden jewel. Nothing could compare with such a foolish, lamentable delusion. Hui-chung of the T'ang dynasty warned strongly against it. Is it not senseless to take this false view - that the mind abides and the form perishes - and equate it to the wondrous Dharma of the Buddhas; to think, while thus creating the fundamental cause of birth-and-death, that you are freed from birth-and-death? How deplorable! Just know it for a false, non-Buddhist view, and do not lend a ear to it.
I am compelled by the nature of the matter, and more by a sense of compassion, to try to deliver you from this false view. You must know that the Buddha Dharma preaches as a matter of course that body and mind are one and the same, that the essence and the form are not two. This is understood both in India and in China, so there can be no doubt about it. Need I add that the Buddhist doctrine of immutability teaches that all things are immutable, without any differentiation between body and mind. The Buddhist teaching of mutability states that all things are mutable, without any differentiation between essence and form. In view of this, how can anyone state that the body perishes and the mind abides? It would be contrary to the true Dharma.
Beyond this, you must also come to fully realize that birth-and-death is in and of itself nirvana. Buddhism never speaks of nirvana apart from birth-and-death. Indeed, when someone thinks that the mind, apart from the body, is immutable, not only does he mistake it for Buddha-wisdom, which is free from birth-and-death, but the very mind that makes such a discrimination is not immutable, is in fact even then turning in birth-and-death. A hopeless situation, is it not?
You should ponder this deeply: since the Buddha Dharma has always maintained the oneness of body and mind, why, if the body is born and perishes, would the mind alone, separated from the body, not be born and die as well? If at one time body and mind were one, and at another time not one, the preaching of the Buddha would be empty and untrue. Moreover, in thinking that birth-and-death is something we should turn from, you make the mistake of rejecting the Buddha Dharma itself. You must guard against such thinking.
Understand that what Buddhists call the Buddhist doctrine of the mind-nature, the great and universal aspect encompassing all phenomena, embraces the entire universe, without differentiating between essence and form, or concerning itself with birth or death. There is nothing - enlightenment and nirvana included - that is not the mind-nature. All dharmas, the "myriad forms dense and close" of the universe - are alike in being this one Mind. All are included without exception. All those dharmas, which serves as "gates" or entrances to the Way, are the same as one Mind. For a Buddhist to preach that there is no disparity between these dharma-gates indicates that he understands the mind-nature.
In this one Dharma [one Mind], how could there be any differentiate between body and mind, any separation of birth-and-death and nirvana? We are all originally children of the Buddha, we should not listen to madmen who spout non-Buddhist views.
"If a person, when he is riding along in a boat, looks around and sees the shore, he mistakenly thinks that the bank is moving. But if he looks directly at the boat, he discovers that it is the boat that is moving along. Likewise, with confused thoughts about body and mind, holding to discrimination of the myriad dharmas, one mistakenly thinks his own mind and nature are permanent. If, intimately engaged in daily activities, one returns to right here, the principle that the myriad dharmas have no self is clear."
Hui-neng and Dogen: "Impermanence is Buddha-nature."
(Quoted from Ted Biringer)
What seems constant has simply not yet undergone change. ‘Not yet undergone change’ means that, even though we may shift our perspective to our subjective self or shift it to the objective, outer world, in both cases there are no signs of change to be found. In that sense, it is constant. As a consequence, grasses and trees, as well as thickets and forests, are impermanent and, accordingly, they are Buddha Nature. It is the same with the human body and mind, both of which are impermanent and, accordingly, they are Buddha Nature. The mountains and rivers in the various lands are impermanent, so, accordingly, they are Buddha Nature. Supreme, fully perfected enlightenment is Buddha Nature, and hence it is impermanent. The Buddha’s great entry into nirvana was impermanent, and hence it is Buddha Nature.
Shobogenzo, Bussho, Hubert Nearman
Dogen’s explanation of the meaning of “constant” (eternal, unchanging, non-changing) is elucidated by Hee-Jin Kim in his Flowers of Emptiness as follows:
That is, permanence means the steadfast quality of the Buddha-nature which exerts itself totally and drops itself off completely in each and every situation. In this respect, the impermanent is permanent, the permanent is impermanent.
Hee-Jin Kim, Flowers of Emptiness, p.91
......http://awakeningtoreality.blogspot.com/ ... mness.html
Thoughts, feelings and perceptions come and go; they are not ‘me’; they are transient in nature. Isn’t it clear that if I am aware of these passing thoughts, feelings and perceptions, then it proves some entity is immutable and unchanging? This is a logical conclusion rather than experiential truth. The formless reality seems real and unchanging because of propensities (conditioning) and the power to recall a previous experience. (See The Spell of Karmic Propensities)
There is also another experience, this experience does not discard or disown the transients -- forms, thoughts, feelings and perceptions. It is the experience that thought thinks and sound hears. Thought knows not because there is a separate knower but because it is that which is known. It knows because it's it. It gives rise to the insight that isness never exists in an undifferentiated state but as transient manifestation; each moment of manifestation is an entirely new reality, complete in its own.
...‘Impermanence’ is never what it seems to be, never what that is understood in conceptual thoughts. ‘Impermanence’ is not what the mind has conceptualized it to be. In non-dual experience, the true face of impermanence nature is experienced as happening without movement, change without going anywhere. This is the “what is” of impermanence. It is just so.
On practice-enlightenment -
Mayu, Zen master Baoche, was fanning himself. A monk approached and said, “Master, the nature of wind is permanent and there is no place it does not reach. Why, then, do you fan yourself?”
“Although you understand that the nature of the wind is permanent,” Mayu replied, “you do not understand the meaning of its reaching everywhere.”
“What is the meaning of its reaching everywhere?” asked the monk again. Mayu just kept fanning himself. The monk bowed deeply.
The actualization of the buddha-dharma, the vital path of its correct transmission, is like this. If you say that you do not need to fan yourself because the nature of wind is permanent and you can have wind without fanning, you will understand neither permanence nor the nature of wind. The nature of wind is permanent. Because of that, the wind of the buddha's house brings forth the gold of the earth and makes fragrant the cream of the long river.
Buddha admonishes a monk for holding eternalist views about consciousness:http://www.leighb.com/mn38.htm
Then the Blessed One said: "Sati, is it true, that such an pernicious view has arisen to you. ‘As I know the Teaching of the Blessed One, this consciousness transmigrates through existences, not anything else’?"
"Yes, venerable sir, as I know the Teaching of the Blessed One, this consciousness transmigrates through existences, not anything else."
"Sati, what is that consciousness?"
"Venerable sir, it is that which feels and experiences, that which reaps the results of good and evil actions done here and there."
"Foolish man, to whom do you know me having taught the Dhamma like this. Haven’t I taught, in various ways that consciousness is dependently arisen. Without a cause, there is no arising of consciousness. Yet you, foolish man, on account of your wrong view, you misrepresent me, as well as destroy yourself and accumulate much demerit, for which you will suffer for a long time."
Then the Blessed One addressed the bhikkhus: "Bhikkhus, what do you think, has this this bhikkhu Sati, son of a fisherman, learned anything from this dispensation?" "No, venerable sir."
..."Bhikkhus, consciousness is reckoned by the condition dependent upon which it arises. If consciousness arises on account of eye and forms, it is reckoned as eye consciousness. If on account of ear and sounds it arises, it is reckoned as ear consciousness. If on account of nose and smells it arises, it is reckoned as nose consciousness. If on account of tongue and tastes it arises, it is reckoned as tongue consciousness. If on account of body and touch it arises, it is reckoned as body consciousness. If on account of mind and mind-objects it arises, it is reckoned as mind consciousness. Bhikkhus, just as a fire is reckoned based on whatever that fire burns - fire ablaze on sticks is a stick fire, fire ablaze on twigs is a twig fire, fire ablaze on grass is a grass fire, fire ablaze on cowdung is a cowdung fire, fire ablaze on grain thrash is a grain thrash fire, fire ablaze on rubbish is a rubbish fire - so too is consciousness reckoned by the condition dependent upon which it arises. In the same manner consciousness arisen on account is eye and forms is eye consciousness. Consciousness arisen on account of ear and sounds is ear consciousness. Consciousness arisen on account of nose and smells is nose consciousness. Consciousness arisen on account of tongue and tastes is taste consciousness. Consciousness arisen on account of body and touch is body consciousness. Consciousness arisen on account of mind and mind-objects is mind consciousness.
"Bhikkhus, do you see, This has arisen?" "Yes, venerable sir". "Do you see it arises supported by That?" "Yes, venerable sir." "Bhikkhus, Do you see if the support ceases, the arising too ceases?" "Yes, venerable sir."