Principle of Least Action I
The least action principle is an expression of teleological reasoning where the initial states of the system are determined by the endpoints—the beginning and the end.
What Is a Soul? II. Anatomy of the Soul
In the biblical story of the creation of Adam, the Torah states: Then the Eternal G‑d formed man of the dust of the ground, and breathed into his nostrils the breath of life; and man became a living soul.Genesis 2:7 The word translated into English as “soul” in the original Hebrew is nefesh. This is the first and the lowest level of the soul given to Adam. The taxonomy and anatomy of a soul in Judaism are quite complex. Original biblical sources speak of three levels of the soul: nefesh (“soul”), ru’ach (“spirit”),[1] and neshamah (“breath”).[2] The Kabbalah speaks of the five levels of the soul: nefesh, ru’ach, neshamah, chayah, and yechidah. This is based on classical rabbinic sources. As stated in the midrash, “By five names is the soul called: nefesh, ru’ach, [...]
Physics of Tzimtzum II — Collapse of the Wave Function
In the previous post “Physics of Tzimtzum I—The Quantum Leap”, we gave a general overview of the mystical doctrine of tzimtzum—the cornerstone of Lurianic Kabbalah. It is time to get into the details. The first phrase that describes the process of tzimtzum in Etz Chaim states: Ein Sof “contracted” (tzimtzem) Himself in the point at the center, in the very center of Ohr Ein Sof. This sentence raises several difficult questions: First, what could it possibly mean that the Infinite (Ein Sof) “contracted” (tzimtzem) Himself? In Hebrew, the word tzimtzum comes from the root TZM, which means “to diminish” or “to fast,” that is, to “diminish” oneself.[1] It can also mean “to be precise,” that is, to remove ambiguity.[2] The repetition of the root TZM is a grammatical form of doubling down, an extreme [...]
Quantum Cheshire Cat vs. Venomous Snakes
A Study in Form and Matter And Moses prayed for the people. And the Eternal said unto Moses: “Make thee a fiery serpent, and set it upon a pole; and it shall come to pass, that every one that is bitten, when he seeth it, shall live.” And Moses made a serpent of brass, and set it upon the pole; and it came to pass, that if a serpent had bitten any man, when he looked unto the serpent of brass, he lived. (Numbers 21:8-9) The Torah portion, Chukat, tells a bizarre story. Jews complain against G‑d and Moses. G‑d gets angry and sends venomous snakes that bite and kill many Jews. The people repent and ask Moses to pray for them. In response to Moses’s prayer, G‑d instructs him to make a [...]
It Is Not Good For Man To Be Alone
And the Eternal G‑d said: “It is not good that the man should be alone; I will make him a helpmate opposite him.” (Genesis 2:18) The end of this verse is rather puzzling. Why would the woman designated as a helpmate for Adam be opposite (literally “against”) him? One can perhaps soften things by translating the Hebrew eizer kenegdo as “counterpart.” However, in a literal translation, the question remains. A simple explanation is well known: if a man is worthy, his wife would be his best friend, ally, partner, companion, and helpmate. If the man is not worthy, however, his wife would be his opponent and antagonist. An esoteric interpretation offered by Rabbi Shneur Zalman of Liadi, in his commentary on this verse in “Torah Ohr,”[1] provides a deeper meaning. He writes [...]
Cosmic Symphony
Strings vibrate, Souls tremble, Angels are running and returning, G‑d is touching and not touching – The rhythms of the universe… Nothing stays still… all is in flux. The inexorable flow of time is synonymous with the existence itself. Indeed, everything exists in time. However, from where does the time come? This is, perhaps, the greatest mystery of science. In modern physics, we do not know what time is, let alone from where it comes. We only know how to measure it – by counting the number of periodic intervals, which we accept as a unit of time. For example, in antiquity, people used a night-day cycle as the basic unit of time. This cycle was born out of observations of the apparent rotation of the sun around the earth (although, in reality, [...]
Wigner’s Friend Paradox
Amicus est Socrates, magister meus, sed magis est amica veritas. “Socrates is my friend but a greater friend is truth” – Plato c. 428-348 BCE. Amicus Plato, sed magis amica veritas. “Plato is my friend, but a greater friend is truth" – Aristotle, Nicomachean Ethics, 350 BCE. Amicus Plato amicus Aristoteles magis amica veritas. “Plato is my friend, Aristotle is my friend, but a greater friend is truth.” – Isaac Newton, Cambridge Student Notebook, 1661 You are my friend, but what is truth? – Eugene Wigner, 1961 If Isaac Newton summed up the aphorisms of Plato and Aristotle in his student notebook, exactly 300 years later, Eugene Wigner put this notion on its head. Although taking a poetic license, I put Wigner's words above in quotation marks, I do not know if he [...]
Tishrei — Past, Present, and Future
The months of Tishrei is full of holidays, and they all share a common theme—the unification of time—past, present, and future. Picart, Blowing of the Shofars on Rosh Hashanah It all starts with Rosh HaShanah. Traditionally translated as the New Year, it literally means the Head of the Year. The word shanah has the same letters as the word shinui — “change.” As Aristotle famously wrote, time is change. The sages of Kabbalah agree—time, in its essence, is change. Thus, Rosh HaShanah can be translated as the Head of Time, or the Beginning of Time (since a related Hebrew word, reshit means the “beginning”). Indeed, it is all about time. Rosh HaShanah has three main themes—Ziḥronot (remembrances), Shofrot (Sounds of the Shofar), and Malkhiot or Kabalat Ol Malkhut Shamayim (acceptance of [...]
I Am Who I Am: Conversation at the Burning Bush
…And behold, the thorn bush was burning with fire, but the thorn bush was not being consumed." (Ex. 3:2) Every theologian worth his salt along with many philosophers, from Plato and Aristotle to Descartes and Kant, attempted to prove the existence of G‑d. Tomas Aquinas, for instance, offered not just one but five “proofs”! Others, such as Hume and Nietzsche, tried proving the opposite. Little did they understand that proving the existence (or nonexistence) of G‑d is a fool’s errand. Here are at least ten reasons why G‑d's existence cannot be proven (or disproven): The existence of G‑d cannot be proven because… G‑d doesn’t “exist,” not in the ordinary sense of existence anyway. One can say that something exists only so long as it may exist or may not. By stating that something [...]
On the Nature of Time and the Age of the Universe
Presented at the International Torah and Science Conference in Miami International University on December 18, 2005 Alexander Poltorak Introduction. This is the third in a series of articles, in which I attempt to sketch various approaches to reconciling a cosmological age of the universe currently estimated at 13.75 billion years with the Jewish tradition setting this age at less than six thousand years (5770 as of the day of this writing, to be exact). The first article [1] tackled this problem from the point of view of Copenhagen interpretation of quantum mechanics suggesting that there were two distinct forms of existence—physical and proto-physical—and that the first conscious observers, Adam and Eve, collapsed the universal wavefunction, bringing the world from amorphous proto-physical existence into tangible physical existence. This approach leads to two distinct [...]