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Yes, the soul is constantly vibrating, but not in the sense that physics models it.
The soul has three aspects called sat, chit, and ānanda. Each of these aspects has many parts. But these three aspects and their parts are not in a fixed structure. Rather, sat, chit, and ānanda dominate one after another. For example, sometimes you do something because you desire to achieve a goal, and then ānanda dominates. Then, you do something against your desire, as it is forced by circumstances, and then sat dominates. Then, you do something that may be against your goal and the neeed of the circumstance because that is what you are capable of; then, the chit dominates. Similarly, the parts of sat, chit, and ānanda also dominate alternately.
To put this in a concrete example, we can take our speech. When we go to a shop and want to buy something, then we say what we want to get. In this case, our desire or ānanda is dominant. Then, sometimes, someone says something bad to you, and you respond to that in a harsh way, because it is forced by circumstances; here, sat dominates. Then, someone can ask you a question in an interview, and you don’t know the answer, so you say what you know. Then, chit dominates.
This changing dominant-subordinate structure of the three aspects of the soul, and their various parts constitute a vibration. What is a vibration? Like in a string, something goes up and down, and we call that a “vibration”. In the same way, the sat, chit, and ānanda go up and down and become more dominant than others alternately, and we can also call that type of change a “vibration”.
Everything in nature comprises the modes called sattva, rajas, and tamas, which go up and down. You feel fresh in the morning, hungry in the afternoon, and tired at night. This is because the modes go up and down. While everything vibrates in this way, there are still relative preponderant states such that either sattva, rajas, or tamas will be largely predominant. That doesn’t mean that a person is always in tamas to the same extent. Sometimes, he may also be in rajas for a short while, and in sattva for an even shorter while. If you happen to catch them at that time, then you can talk to them about higher subjects. They might even agree at that moment with you. However, they will eventually go back to tamas and even if they agreed with some points in the past, they will not do anything about it.
Therefore, we can say that one of the three modes is mostly predominant, and yet, for a short while, the other modes can also become dominant. That short-term change is called a vibration, and the long-term stability is their preponderant nature. Hence, you can say that a person has a stable nature, and you can say that a person’s nature changes slightly from moment to moment. That change is a vibration, which means that even if something is up for the moment, it will be down later on.
Due to the changes in the dominant-subordinate states of the three modes, we can say that everything in nature is vibrating. However, it is not that there is a string or water “medium” that is vibrating. Rather, there are three modes that are going up and down to create a vibration. If we understand that mode vibration, then we can explain the vibration of strings and water waves using the same methodology. So, mode change is not string vibration, but string vibration is mode change.
Everything is moving forward due to vibration. Every day, we get up in the morning and go through our day-to-day activities. That involves a vibration in us, or the modes going up and down, and by that, our day moves forward.
Therefore, scientists can also say that a photon is vibrating and due to that vibration it is moving forward. Scientists claim that vibration has some “energy”, but they don’t know that these modes can stop vibrating, and then the energy will be destroyed. They can also vibrate faster, and then, energy would be created. That faster or slower vibration of the modes will violate the “conservation of energy”.
When the universe is annihilated, then all the modes settle into a primordial state in which no mode is more dominant than others. At that time, all the “energy” appears to be destroyed. Then, during the creation of the universe, these modes start vibrating again, and it appears that infinite energy has been created. But in modern science, we cannot accept the creation and destruction of energy, so scientists say that energy must be “concentrated” into a small region, from which the universe springs. That “concentrated” energy source is called the Big Bang singularity. Nobody knows how so much energy can be concentrated, and what happens in that state. So, they talk about black holes, where this energy is supposedly concentrated, and they think that by studying these black holes they are studying the origin of the universe.
However, the black hole is a different thing; it appears dark because it is not communicating with us, so we cannot see it. That communication involves the emission of information, which is some combination of three modes. The absence of communication has little to do with the origin of the universe. Everything happening in modern cosmology is directionally flawed: you can call it “not even wrong”.
The correct understanding is the Prakriti is three modes, and these modes can divide and vibrate. Or, they can coalesce and stop vibrating. When they coalesce and stop vibrating, then energy is destroyed, although Prakriti is eternal. Then, when they divide and start vibrating, then energy is created, although Prakriti is eternal. Prakriti is the source and Prakriti is the sink. Whatever modern science calls “energy” is not conserved, and what is not conserved is not a real property in science. But scientists have assumed that energy is conserved, so they are struggling to explain the origin and dissolution of the universe. This is a false struggle!
Time is the cause of the subdivision of modes, and the rate of their vibration. And Time is not uniform. Sometimes, it goes fast, and sometimes it goes slow. That is because Time is also a consciousness, which is called Lord Shiva in Vedic texts, and that consciousness comprises three aspects called sat, chit, and ānanda and they are not in a fixed structure. As these three aspects go up and down, the universe has its “morning”, “afternoon”, and “night”. This is just like the up and down movement of sattva, rajas, and tamas creates “morning”, “afternoon”, and “night” for us.
The modes of Prakriti are going up and down, because Time is changing, which is a change in Lord Shiva’s consciousness, which then causes our day and night.