Entanglement

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The Entangled Twins

Entanglement is often called the most baffling and the most quintessential aspect of quantum mechanics. What is entanglement, in a nutshell? Two particles born out of one reaction (or two particles that interacted through a collision) remain connected, no matter how distant from each other. A change in the status of one particle instantaneously causes a change in the status of the other particle. Einstein called it "spooky action at a distance." Entanglement is often associated with a certain symmetry and corresponding conservation laws. For example, the law of conservation of angular momentum requires that the spin (the quantum-mechanical analog of the angular momentum) of two entangled particles always point in the opposite directions. This means that, if two entangled particles have their spin in a state of superposition of Up (↑) and Down (↓), and we collapse [...]

By |2018-11-07T21:37:36-05:00November 3rd, 2013|Bereshit, Entanglement, Genesis, Parshah, Pentateuch (Chumash), Physics, Purim, Quantum Theory, Symmetry, Toledot, Uncategorized|3 Comments
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Witnesses – See and be Seen

By the mouth of two witnesses, or three witnesses, shall the one liable to death be put to death; he shall not be put to death by the mouth of one witness. (Devarim-Deuteronomy 17:6) I wrote about witnesses in my earlier post imaginatively called Witnesses. As Deuteronomy, restates many mitzvoth (commandments) introduced earlier, which is why it is also called Mishneh Torah – the repetition of Torah – the portion Shoftim-Judges restates the law of witnesses first introduced in in the book of Bamidbar-Numbers, portion Massei. So we shall revisit this fascinating subject. The Judgment of the Sanhedrin: "He is Guilty!" (1892 painting by Nikolai Ge) I.     An accused criminal and a Schrödinger cat Most criminals are convicted in the US bases on circumstantial evidence. Rare is the case when a jury gets to hear [...]

By |2023-03-23T18:15:55-04:00August 11th, 2013|Collapse of the wavefunction, Entanglement, Massei, Quantum Theory, Shoftim, Superposition, Uncategorized, Uncertainty Principle, Wavefunction, Witnesses|1 Comment
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A curious Case of Retrocausality—Dead Inherit the Living

Pinchas You shall apportion the Land among these as an inheritance, in accordance with the number of names. To the large [tribe] you shall give a larger inheritance and to a smaller tribe you shall give a smaller inheritance, each person shall be given an inheritance according to his number. Only through a lot shall the Land be apportioned; they shall inherit it according to the names of their fathers' tribes. Bamidbar-Numbers 26:53-55 Albert Einstein and Kurt Gödel in Princeton Einstein once said that he only went to his office at the Institute for Advanced Studies in Princeton to have an opportunity to chat on the way home with his friend, Viennese mathematician, Kurt Gödel. Once, the story goes, Gödel came to Einstein's birthday party with a present – a new cosmological solution [...]

By |2013-08-11T13:57:24-04:00July 5th, 2013|Entanglement, Parshah, Pinchas, Retrocausality, Time, Uncategorized, Wavefunction|2 Comments
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Paradox of the Red Heifer

Speak to the children of Israel and have them take for you a perfectly red unblemished cow, upon which no yoke was laid… The cow shall then be burned in his presence… The one who burns it shall wash his clothes in water and cleanse his body in water, and he shall be unclean until evening… Anyone touching the corpse of a human soul shall become unclean for seven days. On the third and seventh days, he shall cleanse himself with it, so that he can become clean. But if he does not sprinkle himself with it on the third and seventh days, he shall not become clean… They shall take for that unclean person from the ashes of the burnt purification offering, and it shall be placed in a vessel [filled] with [...]

By |2023-06-29T21:43:11-04:00June 24th, 2013|Chukat, Entanglement, Holidays (Yomim Tovim), Numbers, Parshah, Passover (Pesach), Pentateuch (Chumash), Space, Spirituality, Time, Uncategorized, Wavefunction|1 Comment
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Koraḥ Disentangled

Koraḥ the son of Yitzhar, the son of Kehos, the son of Levi took [himself to one side] along with Dasan and Aviram, the sons of Eliav, and On the son of Peles, descendants of Reuven. Num. 16:1 There is a curious aspect to the story of Koraḥ’s rebellion. We can understand why Koraḥ (or Korach), being of the tribe of Levi, may have had a claim to the priesthood thus causing a rebellion against Mosheh and Aaron HaKohen, the High Priest.  The Torah tells us, however, that some Reubenites, that is, members of the tribe of Reuven, got entangled with the followers of Koraḥ in this rebellion as well.  But what did they have to do with it?  Not being descendants of Levi, they surely had no claim on the priesthood.  Why [...]

By |2023-06-22T22:05:44-04:00June 6th, 2013|Bamitbar, Entanglement, Korach, Numbers, Parshah, Pentateuch (Chumash), Uncategorized|1 Comment
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Schrödinger Pots

Vaikra-Leviticus 14:35-36 (Metzora) 35.  and the one to whom the house belongs comes and tells the kohen, saying, "Something like a plague has appeared to me in the house," 36.  the kohen shall order that they clear out the house, before the kohen comes to look at the lesion, so that everything in the house should not become unclean. After this, the kohen shall come to look at the house. Let us analyze these two verses from the point of view of quantum mechanics.  An owner of the house sees a suspicious lesion on the house that looks like tzara’as and calls a cohen (priest) to inspect the house.  There are two possible states of the house: Pure (no tzara’as) or Impure (contaminated by tzara’as).  At this moment, before the cohen inspects the [...]

By |2013-04-14T00:54:09-04:00April 14th, 2013|Collapse of the wavefunction, Entanglement, Uncategorized|0 Comments
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Two Beginnings

B’reshit bara Elokim et hashamaim v’et haaretz… In the beginning, G‑d created heaven and earth… Alternative translation: With two beginnings G‑d created heaven and earth… Genesis 1:1   *This is an abridged and updated version of my paper “Towards Reconciliation of Biblical and Cosmological Ages of the Universe” Presented at the Third Miami International Conference on Torah & Science in Dec. of 1999 and published in B’Or HaTorah, 13 (2002) p. 19. Contemporary science places the age of the universe in the thirteen to fourteen billion years range, or 13.787 ± 0.02, [1] to be precise.  This age is derived from both theoretical models as well as experimental data.  (For an overview of theoretical and experimental approaches to dating the universe and our planet Earth see my original paper TOWARDS RECONCILIATION OF BIBLICAL AND [...]

By |2019-10-25T00:22:55-04:00October 12th, 2012|Age of the Universe, Bereishit, Bereshit, Collapse of the wavefunction, Cosmology, Creation, Entanglement, Genesis, G‑d, Kabbalah, Parshah, Pentateuch (Chumash), Quantum Theory, Superposition, Uncategorized, Wavefunction|4 Comments
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Matos-Massei – Annulment of Vows

A story is told about a bachur (an unmarried young man) who came in the 60s to the Lubavitcher Rebbe for the yechidus (private audience) telling the Rebbe that he wanted to go college. Those days, American colleges, by and large, were not exactly institutions of higher learning but, more often, venues for drugs, sex, and rock and roll. The Rebbe strongly advised the visitor against going to college, but the young man was hell-bound on going through with his plan. The Rebbe said to him, “Even if you don’t care about the spiritual dangers and impurity of such a place, I do! And you and I are connected. Why are you dragging me along with you?!” The moral of that story is simple—chasidim and their Rebbe are entangled together. Wherever a chasid [...]

By |2020-07-17T18:50:38-04:00July 23rd, 2012|Collapse of the wavefunction, Entanglement, Husband and wife, Mattot, Parshah, Wavefunction|0 Comments
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Tale of Entangled Goats

And he shall take the two he goats, and place them before the Lord at the entrance to the Tent of Meeting. And Aaron shall place lots upon the two he goats: one lot "For the Lord," and the other lot, "For Azazel." (Leviticus 16:7-8) In the last Torah portion, Metzorah, we learned about two entangled birds. This week, we learn about two entangled goats. I don’t know if these goats studied quantum mechanics, but they can sure teach us a thing or two about quantum entanglement. Entanglement is one of the mysteries of quantum mechanics. On a macro level, entanglement is easy to understand. Imagine a coin sawn into two halves along the plane parallel to the face of the coin. One half has only heads and the other half has only [...]

By |2019-05-04T18:27:10-04:00May 4th, 2012|Acharei Mot, Collapse of the wavefunction, Entanglement, Leviticus, Pentateuch (Chumash), Quantum Theory, Yom Kippur|1 Comment
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Leprous Cats and Angry Birds

In the Torah portion Tazriah (Leviticus 13), the Schrödinger cat[1] gets leprosy. Well, it’s not really leprosy, it’s a mysterious supernatural disease called tzara’as, nowadays translated as psoriasis. And it’s not a cat, but a Jew who gets afflicted by tzara’as. In fact, cats, other animals, and even gentiles (i.e., non-Jewish humans) are immune to this spiritual malady. So why do I call a poor Jew afflicted with tzara’as a “Schrödinger cat”? Because he sure acts like one. Indeed, had I not studied quantum mechanics and had I not learned about the collapse of the wave function[2] back at the university, I would have surely discovered it by reading this Torah portion (parshah)! A Jewish person with a skin lesion or boldness (present company excluded) is brought to a priest (kohen), who examines it [...]

By |2024-04-12T16:53:20-04:00April 30th, 2012|Bayesian probability, Collapse of the wavefunction, Entanglement, Isaiah, Kabbalah, Metzora, Parshah, Quantum Theory, Superposition, Tazria, Tazria u’Metzora, Uncategorized, Zohar|1 Comment
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