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Physics of Tzimtzum I — The Quantum Leap

Introduction “In the beginning God created the heavens and the earth.” (Genesis 1:1) “In the beginning God 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 God and Moses. God 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, God instructs him to make a [...]

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

And out of the ground made the Lord God 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 God 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, God 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 Puzzle of Pi

March 14 is celebrated by nerds around the world as the Pi Day. When written in digits, 3/14 represents first three digits of the number traditionally represented by the Greek letter “π” (pronounced pi) – 3.14. Pi Day is celebrated by eating pie and discussing the significance of π. Some folks who have too much time on their hands compete at memorizing decimal digits representing the value of pi. The record presently stands at 67,890 digits! While eating pie is optional, discussing the significance of π is truly mandatory. So, what is π and why is to so important? π is arguably the most famous mathematical constant, expressing the ratio between the circumference of a circle and its diameter. If you take a circle with a diameter of 1, the circumference of this [...]

Three-and-a-half Hakafot — Topology of Simchat Torah

Why is this night different from all other nights, asks a child on the Seder night. On this Simchat Torah I asked a different question—why is the day different from the night? Indeed, on the night of Simchat Torah, we dance seven hakafot-circuits. However, during the morning service of the next day, we only dance three-and-a-half hakafot. What is the meaning of this number—three and a half? There are a few instances the Torah, Talmud, and Rabbinic instances where this number is mentioned (e.g., during the Gaonic period, c. 590–1000 CE, in some communities in the Land of Israel, the Torah reading cycle was completed in three and a half years; Maimonides rules that only half of the tzitzit string should be dyed blue leaving three and a half strings white), but none of them [...]

Secrets of the Talking Ass

And God opened the mouth of the ass, and she said to Bilam: "What have I done to you, that you have struck me these three times?" And Bilam said to the ass: "Because you have mocked me; I would there were a sword in my hand, for now I would kill you." And the ass said to Bilam: "Am not I your ass, upon which you have ridden all your life to this day? Was I ever wont to do so to you?" And he said, "No." Num. 22:28-30 Despite the simple dialogue between Balaam (Bilam) and his ass in the Torah portion of Balak, this ass was no ordinary ass. This ass saw an angel where a prophet as great as her owner, Balaam, did not. It stands to reason that [...]

God Collapses Sotah’s Wave Function

The story of Sotah, a suspected adulteress, is very troubling on the first blush. Why would a woman be subjected to such humiliation?  The Lubavitcher Rebbe, Rabbi Menachem Mendel Schneerson, points out that, to the contrary, the story of Sotah is the story of the boundless love of the Creator for his people. Notwithstanding the strict Biblical prohibition of erasing God’s name, to vindicate the wrongly accused woman, God allows and, indeed, decrees to erase His holy Name by dissolving the scriptural verses written on a parchment in the water that the woman would drink to clear her name. For as long as a woman is being suspected of infidelity, she cannot be intimate with her husband.  It takes a Divine intervention, whereby God sacrifices His honor in allowing erasing His holy Name, [...]

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 God.  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 God is a fool’s errand.  Here are at least ten reasons why God's existence cannot be proven (or disproven): The existence of God cannot be proven because… God 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 [...]

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