Bamitbar

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Numbers — the Fourth Book of Torah

Secrets of the Talking Ass

And G‑d 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 [...]

By |2017-07-07T16:33:28-04:00July 6th, 2014|Balak, Bamitbar, Collapse of the wavefunction, Creation, Dreams, Numbers, Parshah, Pentateuch (Chumash), Quantum Theory, Shabbat, Superposition, Uncategorized, Wavefunction|1 Comment
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Prophesy by Entanglement

…And they prophesied in the camp. (Num. 11:27) In the Torah portion Behaalotecha, there is an interesting narrative: And the Lord said unto Moses: 'Gather unto Me seventy men of the elders of Israel, whom thou knowest to be the elders of the people, and officers over them; and bring them unto the tent of meeting, that they may stand there with thee. And I will come down and speak with thee there; and I will take of the spirit which is upon thee, and will put it upon them… And the LORD came down in the cloud, and spoke unto him, and took of the spirit that was upon him, and put it upon the seventy elders; and it came to pass, that, when the spirit rested upon them, they prophesied, but [...]

By |2014-06-09T01:04:27-04:00June 9th, 2014|Bamitbar, Behaalotecha, Entanglement, Numbers, Pentateuch (Chumash), Quantum Theory, Uncategorized, Wavefunction|0 Comments
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Menorah

Speak unto Aaron, and say unto him: "When thou lightest the lamps, the seven lamps shall give light in front of the menorah." (Num. 8:1) In the Torah portion Behaalotecha (Num. 8:1), Aaron is commanded to light the Menorah so that three light on the right and three lights on the left are directed towards the middle light. On the first blush, it appears to be a very strange commandment. Why would lights on the right and on the left need to be directed towards the center light? What is the significance of that? It seems to me that this unusual arrangement hints at fundamental structure of our world. Sefer Yetzirah states that this world is created in three domains – Olam (“World” – meaning space), Shanah (“Year” – meaning time) and Nefesh (“Soul” [...]

By |2014-06-09T00:08:13-04:00June 8th, 2014|Bamitbar, Behaalotecha, Numbers, Pentateuch (Chumash), Shabbat, Space, Spirituality, Time, Uncategorized|0 Comments
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G‑d 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 G‑d’s name, to vindicate the wrongly accused woman, G‑d 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 G‑d sacrifices His honor in allowing erasing His holy Name, [...]

By |2020-05-24T16:51:13-04:00June 1st, 2014|Bamitbar, Collapse of the wavefunction, Entanglement, G‑d, Husband and wife, Names of G‑d, Naso, Numbers, Parshah, Pentateuch (Chumash), Quantum Theory, Superposition, Tanakh, Wavefunction, Witnesses|1 Comment
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Suspected Adulteress as a Schrödinger Cat

In quantum mechanics, the state of a physical system is described by the so-called wave function (or the "wavefunction"). All attempts by Schrödinger, who first introduced the wave function, and others to interpret it as a scalar potential of some physical field, or as the de Broglie wave (as in particle-wave dualism) were not successful. In 1926, Max Born noticed that the squared amplitude of the wavefunction of a particle in a given region gives the probability of finding the particle in this region. He suggested that the wavefunction represented not a physical reality but rather our knowledge of the quantum state of an object. The wave function represents our knowledge of all possible quantum-mechanical states of an object and their probabilities. In other words, the quantum-mechanical state of a physical system is [...]

By |2020-05-24T16:41:26-04:00May 30th, 2014|Bamitbar, Collapse of the wavefunction, Entanglement, Husband and wife, Naso, Numbers, Parshah, Pentateuch (Chumash), Quantum Theory, Shavuot, Superposition, Uncategorized, Wavefunction|2 Comments
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Creatio ex Nihilo and the Number Theory

As we began this Shabbat reading the Fourth Book of Torah—Numbers, I thought, it would be appropriate to post on this blog an excerpt from my article Creatio ex Nihilo, Number Theory, Quantum Vacuum, and the Big Bang, originally published in B’Or HaTorah (Jerusalem: 2007, No. 17, p.115). Introduction The kabbalistic principle of yesh m’ayin or creatio ex nihilo—creation of something from nothing—is difficult to fully understand because we have no experience of creating something from nothing. Although many human creative activities seem to create something new, in fact, they merely change the form or nature of things. Never do we create something from nothing. A sculptor takes a preexisting slab of marble and shapes it according to his imagination. So does a potter, who molds pottery out of clay; a glassblower, who forms liquid [...]

By |2014-05-26T12:34:27-04:00May 25th, 2014|Bamidbar, Bamitbar, Creation, Mathematics, Numbers, Science, Uncategorized|2 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. 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 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 based on circumstantial evidence. Rare is the case when a jury gets to hear an [...]

By |2024-09-06T10:02:17-04:00August 11th, 2013|Collapse of the wavefunction, Entanglement, Massei, Quantum Theory, Shoftim, Superposition, Uncategorized, Uncertainty Principle, Wavefunction, Witnesses|1 Comment
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Witnesses

Massei -- Bamidbar-Numbers 35 Whoever kills a person, based on the testimony of witnesses, he shall slay the murderer. A single witness may not testify against a person so that he should die. Bamidbar-Numbers 35:30 In this verse, the Torah states that a murderer can only be convicted based on testimony of live witnesses. Contrary to common law jurisprudence in the US and the UK, and civil law jurisprudence of most other western countries, circumstantial evidence cannot be used alone to convict according to the Torah law. (It may, however, be used to interrogate witnesses in order to ascertain their truthfulness or to acquit the accused.) The only basis for a Torah conviction is eye-witness testimony. This seems strange, though. Why, for example, may fingerprints or DNA evidence, which is, surely, incontrovertible, not be used to [...]

By |2013-08-11T13:55:16-04:00July 7th, 2013|Collapse of the wavefunction, Massei, Parshah, Superposition, Uncategorized, Wavefunction, Witnesses|2 Comments
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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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Tumah and Taharah

The Hebrew words taharah and tumah, which are the subjects of the Torah portion of Chukat (Numbers 19:1–22:1), are usually translated as ritual purity and ritual impurity respectively. This, of course, has nothing to do with physical purity or impurity, as these are strictly spiritual concepts. But what is a “spiritual concept” in the first place? The word “spiritual” is thrown around a lot by religious pundits and new age gurus. This word is anathema to scientists as anything spiritual is deemed to be antithetical to science. However, this word can be given a simple, precise and strictly scientific definition. (As Descartes famously said, most arguments would disappear if people bothered giving definitions to the concepts they argue about.) Well, one thing everyone would agree with, that spiritual is not physical. Since all [...]

By |2017-06-29T21:27:41-04:00June 19th, 2013|Chukat, Parshah, Spirituality, Time, Uncategorized|0 Comments
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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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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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