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Torah – Five Books of Moses

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 [...]

Physics of Tzimtzum I — The Quantum Leap

Introduction “In the beginning G‑d created the heavens and the earth.” (Genesis 1:1) “In the beginning G‑d created the heavens and the earth,” the Torah says. However, what was before the “beginning”? It is like asking, What was before the Big Bang? In physics, until relatively recently, such questions were discouraged. The prevailing wisdom was that time and space had been created by the Big Bang, and there was no “before” before the Big Bang. Mishnah discourages such thinking, too. The sages point out that the first letter of the Torah, the letter bet, is open on the left and closed on the right:[1] The text of the Torah and the history of the world proceed from that opening on the left. The closed right side of the letter bet visually walls off [...]

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 [...]

Getting a Blessing Through a Wormhole

And it came to pass on the morrow, that Moses went into the tent of the testimony; and, behold, the rod of Aaron for the house of Levi was budded, and put forth buds, and bloomed blossoms, and bore ripe almonds. (Bamidbar 17:23)   In the Torah portion we read last Shabbat, G‑d instructs Moses to Speak to the children of Israel and take of them rods, one for each fathers’ house… thou shalt write every man’s name upon his rod.” (Bamidbar 17:17) As we read in verse 23, the next morning, Aaron’s rod (i.e., staff) bore ripe almonds. Rabbi Schneur Zalman of Liadi asks the question, why almonds?[1] If the staff of Aaron had blossomed with any flowers or fruits, that would have been enough to miraculously demonstrate to the children of [...]

The Soul is in the Blood

For the life of the flesh is in the blood." (Leviticus 17:11) The word translated here as “life” in the Hebrew original is nefesh, i.e., “soul.” Torah appears to be telling us that soul of every live creature is in its blood. Indeed, Rabbi Schneur Zalman of Liadi says so explicitly in the Tanya: The abode of the animal soul derived from kelipat nogah in every Jew is in the heart; in the left ventricle, as it is filled with blood, and it is written, 'For the blood is the soul' (nefesh)…. just as the blood has its source in the heart, and from the heart it circulates into every organ…" (Likkutei Amarim, 9)[1] The animal soul is primarily vested in the blood (from where it spreads to the whole body and beyond). What does [...]

Nadab and Abihu — Tragedy in Time

And Nadab and Abihu, the sons of Aaron, took each of them his censer, and put fire therein, and laid incense thereon, and offered strange fire before the Eternal, which He had not commanded them. And there came forth fire from before the Eternal and devoured them, and they died before the Eternal. (Exodus 10:1-2) And Aaron spoke unto Moses: ‘Behold, this day have they offered their sin-offering and their burnt-offering before the Eternal, and there have befallen me such things as these; and if I had eaten the sin-offering to-day, would it have been well-pleasing in the sight of the Eternal? And when Moses heard that, it was well-pleasing in his sight. (Leviticus 10:19) The Torah Portion Shemini tells two stories: One of the tragic death of two sons of Aaron—Nadab (Nadav) and Abihu [...]

Salt: The Covenant of the Opposites

And every meal-offering of thine shalt thou season with salt; neither shalt thou suffer the salt of the covenant of thy G‑d to be lacking from thy meal-offering; with all thy offerings thou shalt offer salt." (Leviticus 2:13)   Torah dictates that all offerings to G‑d must be brought together with salt. Classical commentators ask: What is so special about salt that it is an indispensable ingredient of any sacrifice? Moreover, why is it called the covenant of salt? Nachmanides explains: The Torah also uses this covenant as a model for other covenants, as both the priestly covenant[1] and the Davidic covenant[2] are called “covenant of salt” because they are upheld just as the sacrificial covenant of salt…. I am of the opinion that the significance is that the salt is water, which [...]

The Surrounding Light and the Penetrating Light

The Torah portion Vayakhel deals with the construction of the Mishkan, i.e., the “Tabernacle.” In Kabbalah, the Mishkan is viewed as a microcosm that represents a miniature model of the entire universe—both physical and spiritual. The Mishkan was comprised primarily of two categories of objects. The first category included the coverings that made up the roof and the walls surrounding the Mishkan. The second category included kelim—the objects inside the Mishkan. This is not the first time the description of the coverings and kelim appear in the Torah. In the Torah portion Teruma, G‑d gives Moses detailed instructions for the construction of the Mishkan. Interestingly, in Teruma, G‑d first speaks of the kelim and then of the coverings, whereas in Vayakhel, when Moses instructs the Jewish people, he reverses the order and first [...]

Ki Tisa Hints at the Coronavirus

On the Eve of Shabbat, we received a government mailing containing documents that we were required to fill out and send back to the Census Bureau. The connection between the Census and the plague was not lost on me. The Torah portion we read last Shabbat, Ki Tisa. It begins with the story of the census: When you count the children of Israel according to their numbers, let each one give to the Lord an atonement for his soul when they are counted; then there will be no plague among them when they are counted.” (Exodus 30:12) This verse, linking the census with a plague, was uncanny in view of the COVID-19—Coronavirus pandemic—the modern-day plague, in the midst of which we find ourselves today. Interestingly, the word “count” in the verse above is [...]

In the Beginning — It’s All About Change

In the beginning G‑d created the heaven and the earth. (Genesis 1:1)   The first verse in the Torah is key to understanding the fundamentals of creation. As far as physics is concerned, there are three key words in this verse, which are highlighted in bold: In the beginning G‑d created the heaven and the earth. According to Nachmanides, these three words—“beginning,” “heaven,” and “earth”—represent, respectively, time, space, and matter. It is easy to see that the “beginning” stands for time, because the “beginning” is clearly a temporal concept that sets off the beginning of time; that “heaven” is a metaphor for space, because the stars and the planets are perceived to be in the sky (i.e., heaven) when, in fact, they are moving in space;[1] and that “earth” is emblematic of matter, [...]

Abel and Cain Conflict—Wave-Particle Duality

…And Abel was a keeper of sheep, but Cain was a tiller of the ground. And in process of time it came to pass, that Cain brought of the fruit of the ground an offering unto the Eternal. And Abel, he also brought of the firstlings of his flock and of the fat thereof. And the Eternal had respect unto Abel and to his offering; but unto Cain and to his offering He had not respect. And Cain was very wroth, and his countenance fell. And the Eternal said unto Cain: “Why art thou wroth? and why is thy countenance fallen? If thou doest well, shall it not be lifted up? and if thou doest not well, sin coucheth at the door; and unto thee is its desire, but thou mayest rule over it.” And Cain spoke unto Abel [...]

Primordial Serpent—the Incurable Atomist

Now the Serpent was more cunning than any beast of the field which the Eternal G‑d had made. (Genesis 3:1)   When G‑d placed Adam in the Garden of Eden, He issued a decree: And the Eternal G‑d commanded the man, saying: “Of every tree of the garden thou mayest freely eat.” (Genesis 2:16) Having commanded man to eat from every tree of the garden, including the Tree of Life and the Tree of Knowledge, G‑d qualified His command: “but of the tree of the knowledge of good and evil, thou shalt not eat of it; for in the day that thou eatest thereof thou shalt surely die.” (Genesis 2:17) There appears to be some dissonance between verses 16 and 17. Verse 16 uses two words, akhol tokhel, each of which shares the [...]

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 [...]

Cosmology and the Tetragrammaton

As we discussed in the previous post “Singularity and Paradise,” Paradise offers a beautiful metaphor for modern cosmology wherein Eden is the initial singularity preceding the Big Bang, the river flowing from Eden to water the garden[1] is the expanding universe, and the garden itself is our planet Earth. This metaphor fits nicely with an old Kabbalistic allegory of a glassblower who maps the various stages of the glassblowing process with the four letters of the Tetragrammaton—Y‑H‑W‑H, or yud-heh-vav-heh. To create a glass object, the glassblower must first have a seminal idea of what he desires to create—this corresponds to the letter י (yud) of the Tetragrammaton, because yud represents Chokhmah, which itself represents the seminal idea and inspiration. Before the process of creation begins, the glassblower must inhale air into his lungs—this [...]

Singularity and Paradise

These are the chronicles of the heaven and of the earth when they were created, in the day that the Eternal G‑d made earth and heaven. (Genesis 2:4) The second chapter of Genesis contains many repetitions, the most famous of which is the second rendering of the story of the creation of Adam and Eve. The classical commentators explain that this chapter adds further details to the original story of creation told in chapter one. Indeed, the Torah itself makes it clear by stating that “these are chronicles of the heaven and the earth…” Thus, the biblical cosmology sketched out in the first chapter of Genesis is retold here in greater detail. *** And a river went out of Eden to water the garden. (Genesis 2:8-10) This verse positions Eden as the wellspring [...]

The Tree of Life and Wave Mechanics

As we discussed in the earlier post, The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle, the Heisenberg uncertainty principle is a direct consequence of wave-particle duality. If so, shouldn’t we expect to see some hints at the wave nature of reality in the narrative of the Garden of Eden? And the Tree of Life (Etz HaChaim): what was it doing in Eden? It appears in the narrative only twice—in the very beginning and at the very end of the story of the primordial sin—almost as if to put a frame around the picture. At the start of this narrative, the verse states: And the Lord G‑d planted a garden eastward, in Eden; and there He put the man whom He had formed. And out of the ground [...]

Why the first humans were not allowed to eat from the Tree of Knowledge

As always in science, every answered question breeds new questions. Now that we understand that the Tree of Life and the Tree of Knowledge are metaphors for, respectively, the wave function and the collapse of the wave function (see my earlier post, "The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle"), we are faced with more questions. Why did G‑d not want Adam and Eve to eat from the Tree of Knowledge? And what was so terrible about the forbidden fruit that eating it warranted capital punishment?[1] Let us recall that, according to our tradition, Adam and Eve were prohibited from eating from the Tree of Knowledge only for three hours. Adam and Eve were created on the sixth day—the Eve of the Sabbath (Erev Shabbat). With [...]

The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle

And out of the ground made the Lord G‑d to grow every tree that is pleasant to the sight, and good for food; and the tree of life also in the midst of the garden, and the tree of the knowledge of good and evil. (Genesis 2:9) And the Lord G‑d commanded the man, saying: “Of every tree of the garden thou mayest freely eat; but of the tree of the knowledge of good and evil, thou shalt not eat of it; for in the day that thou eatest thereof thou shalt surely die.” (Genesis 2:16–17) Upon creating Adam and Eve, G‑d permitted them to eat any fruit from the Garden of Eden, except for the forbidden fruit—the fruit of the Tree of Knowledge. Disregarding this injunction, Adam and Eve ate the forbidden [...]

The Primacy of the Prime Numbers

And the messengers returned to Jacob, saying: “We came to thy brother Esau, and moreover he cometh to meet thee, and four hundred men with him.” (Genesis 32:7) On this blog, we primarily focus on structural parallels between Torah and Physics and, more specifically, quantum physics. Today I would like to explore an interesting parallel between this Torah portion and the number theory. In my previous essay on the Torah Portion Vayishlach, “Jacob Meets Esau and his 400 men,” I wrote “Esau and his 400 men together were 401 strong. 401 is a prime number that is the sum of seven consecutive prime numbers (43+47+53+59+61+67+71).” In that essay, I focused on the significance of the number seven. Let us now focus on the significance of the prime number. The structural parallel I see [...]

Three Angels: Past, Present, and Future

And the Lord appeared unto him in the plains of Mamre, as he sat in the entrance of the tent in the heat of the day; and he lifted up his eyes and looked, and, behold, three men stood over against him… (Genesis 18:1-2)   In the Torah portion Vayeira, three men appeared to Abraham as he was sitting at the entrance to his tent. The Talmud states that these three men were angels: Michael, Gabriel, and Rafael. Michael came to tell that Sarah will give birth to a son; Raphael came to heal Abraham after his circumcision; and Gabriel came to destroy Sodom. However, on a metaphorical level, it appears to me that these three angels personify three aspects of time: past, present, and future. Here are several clues that hint at [...]

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