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And there was Evening and there was Morning: Quantum Mechanics in Genesis

This essay explores a novel parallel between quantum mechanical principles and the biblical creation narrative through etymological analysis of the Hebrew terms “erev” (evening) and “boker” (morning). The study reveals that these terms, which punctuate each day of creation in Genesis, carry meanings that remarkably align with fundamental quantum concepts. "Erev," rooted in the concept of "mixture," parallels quantum superposition, while "boker," stemming from differentiation and discernment, mirrors quantum measurement and wave function collapse.

Jacob’s Struggle With a Man: A Metaphor From Neuroscience

So the present passed over before him; and he himself lodged that night in the camp. And he rose up that night, and took his two wives, and his two handmaids, and his eleven children, and passed over the ford of the Jabbok. And he took them, and sent them over the stream, and sent over that which he had. And Jacob was left alone; and there wrestled a man with him until the breaking of the day. And when he saw that he prevailed not against him, he touched the hollow of his thigh; and the hollow of Jacob’s thigh was strained, as he wrestled with him. And he said: “Let me go, for the day breaketh.” (Genesis 32:23–26)   The story of Jacob wrestling with a “man” is yet another of [...]

Jacob and Esau—Thermodynamics of Order and Chaos

And these are the chronicles of Isaac… (Genesis 25:19) So Esau went unto Ishmael, and took unto the wives that he had Mahalath the daughter of Ishmael Abraham’s son, the sister of Nebaioth, to be his wife. (Genesis 28:9)   This Torah portion is called Toledot. In Hebrew, toledot means “generations” or “chronicles.” Indeed, this Torah portion starts with the phrase, “These are the chronicles of Isaac.” This is not the first or the last time this word appears in Tanakh (the Hebrew Scriptures). It appears for the first time in the opening verse of chapter 2 of Genesis: 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 time it appears in [...]

Noah’s Ark—Three Layers of Reality

A light shalt thou make to the ark…with lower, second, and third stories shalt thou make it. (Genesis 6:16) We mentioned in the previous posts that Noah’s ark was a microcosm.[1] As we discussed in the previous post, “Noah’s Ark—Three Layers of Being Human,” most structural parallels related to Noah’s ark are based on its tripartite structure —that is, its having three tiers. In Chasidic thought, the three levels of Noah’s ark correspond to three worlds of BiYA—Beriyah (the World of Creation), Yetzirah (the World of Formation), and Asiyah (the World of Action). In this essay, we will investigate how the tripartite structure of Noah’s ark is reflected in the structure of reality. We might say that the totality of existence comprises three layers—physical, informational, and spiritual. The classification of reality into three [...]

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 [...]

Counting Weeks and Days

There is a Biblical Commandment to count the days between the Passover and Shavuot, the "Feast of Weeks" (a.k.a. Pentecost). We start counting on the second day of Passover (the first day of the barley harvest in the land of Israel, when the wave-offering of the omer, i.e., “sheaf,” of ripe barley was made in the Jerusalem Temple) and finish on the eve of Shavuot—the day when two loaves of bread made of wheat were offered at the Temple. There are exactly seven weeks (forty-nine days) between these two holidays; we are commanded to count the weeks and the days. These forty-nine days are called days of Sefirat HaOmer (the days of “counting the Omer”) or, simply, days of Sefirah ("counting"). This commandment is given in the following verses of the Torah: And [...]

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 [...]

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 [...]

Jacob Meets Esau and His 400 Men

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) Why does the Torah take pains to tell us the exact number of men accompanying Esau? Servants of Esau are of no particular significance. It is apparent that, by specifying the number of men in Esau's entourage, the Torah is trying to tell us something about Esau. It seems to me that Jacob understood the significance of the number 400. This number is a sum of the powers of 7 from 0 to 3: 70+71+72+73=400. These four powers of 7 hint at the lunar month, which has approximately 28 days (4×7). The significance of this will become apparent later. 400 is a repdigit (a portmanteau [...]

Jacob’s Sheep—Particles, Fields and Strings

And it came to pass at the time that the flock conceived, that I lifted up mine eyes, and saw in a dream, and, behold, the he-goats which leaped upon the flock were streaked, speckled, and spotted. (Gen. 31:10)   This week’s Torah reading, Vayeitzei (Gen. 28:10-32:3) talks about three kinds of sheep: streaked, speckled, and spotted.   Streaked Sheep   Streaked sheep (“akudim”) were ankle-ringed. They looked as if their ankles were bound together with a black rope. Hence the name—"akidim" (Hebrew world for streaked, “akud” means bound as in “Akeda”—binding of Isaac). Speckled Sheep Speckled sheep (Heb. “nekudim” from sing. “nakod”.) were sheep with black dots.   Spotted Sheep   Spotted or flecked sheep (Heb. "berudim") were blotched. What is the significance of these streaks, speckles and blotches that the Torah devotes [...]

Four Cups and Three Matzoth

On Seder night we drink four cups of wine and eat three matzoth. Why four cups and not three? Why three matzoth and not four? The same numerical relationship exists among our forefathers. We have the patriarchs – Avraham (Abraham), Yitzchak (Isaac) and Yaakov (Jacob). But we have four matriarchs – Sarah, Rivkah (Rebeca) Rachel, and Leah. This dynamics also manifests itself in the holiest name of G‑d – Tetragrammaton – Y‑H‑W‑H. Why does the four-letter Name have only three unique letters, Yud, Heh, and Vav? According to Sefer Yetzirah – a classic text of Kabbalah attributed to Abraham or to Rabbi Akiva – there are three letters of Hebrew Alef Bet called mothers: Alef, Mem, and Shin, which are considered to be “primary” letters. The three mothers represent the basic logical triad [...]

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