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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 [...]

By |2017-11-24T14:57:34-05:00November 20th, 2015|Bereshit, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Physics, Quantum Field Theory, Quantum Theory, Science, Sefirot, Uncategorized, Vayetze|0 Comments
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Covenant between the Parts as a Metaphor for Quantum Entanglement

And he took him all these, and divided them in the midst, and laid each half over against the other… And it came to pass, that, when the sun was going down, a deep sleep fell upon Abram; and, lo, a dread, even a great darkness, fell upon him…  And it came to pass, that, when the sun went down, and there was thick darkness, behold a smoking furnace, and a flaming torch that passed between these pieces. Genesis 15:10-17 The above verses from the Torah portion Lech Lecha (Genesis 12:1–17:27) describe the Covenant between the Parts (a.k.a. the Covenant of the Pieces), when G‑d entered into eternal covenant with Abraham (at the time called Abram) – a covenant symbolized by halved animals. The simple meaning of this ritual is apparent: just as a halved [...]

By |2020-11-03T17:30:36-05:00October 25th, 2015|Entanglement, Genesis, Lech-Lecha, Pentateuch (Chumash), Physics, Quantum Theory, Randomness, Uncategorized, Wavefunction|0 Comments
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Adam Kadmon and Holographic Universe

Dedicated to the memory of Professor Yaakob David Bekenstein   The Torah opens with the word “Bereshit” – in the Beginning – whose first letter, Bet, is written large to signify that it contains a hidden meaning. The gematriah (numerical value) of the letter Bet is 2. It has three sides – top (“roof”), bottom (“floor”) and the right “wall”:   Letter Bet of Bereshit may be viewed as the “event horizon” of the Torah. In General Relativity, the event horizon is the area of spacetime beyond which information is inaccessible to an outside observer. For example, the event horizon of a black hole is the boundary surrounding every black hole that acts as information firewall – the light from within the event horizon cannot escape outside and, therefore, information is invisible to an [...]

By |2018-10-08T21:52:53-04:00October 11th, 2015|Bereishit, Bereshit, Cosmology, Creation, Genesis, Pentateuch (Chumash), Physics, Science, Spirituality, Uncategorized|0 Comments
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Balak – Interference of Souls

Balak the son of Zippor saw all that Israel had done to the Amorites. Moab became terrified of the people, for they were numerous, and Moab became disgusted because of the children of Israel. Moab said to the elders of Midian, "Now this assembly will eat up everything around us, as the ox eats up the greens of the field. Balak the son of Zippor was king of Moab at that time. He sent messengers to Balaam the son of Beor, to Pethor, which is by the river of the land of his people, to call for him, saying, "A people has come out of Egypt, and behold, they have covered the 'eye' of the land, and they are stationed opposite me. So now, please come and curse this people for me, for [...]

By |2020-10-15T23:12:39-04:00July 8th, 2015|Balak, Bamitbar, Entanglement, Ezekiel, Kabbalah, Mashiach (Messiah), Numbers, Parshah, Pentateuch (Chumash), Physics, Sefirot, Soul, Spirituality, Superposition, Tanakh, Uncategorized, Zohar|4 Comments
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String Theory

Speak to the children of Israel and you shall say to them that they shall make for themselves fringes on the corners of their garments, throughout their generations, and they shall affix a thread of sky blue [wool] on the fringe of each corner." (Num. 15:38) At the end of the weekly Torah portion Shelach (Num. 13:1–15:41), Torah commands us to attached tzitzit, "tassels," to the four corners of the garment. Reading about the white and blue strings of the tzitzit brought back childhood memories of how I first invented a naïve form of the string theory. It was 1970, as I recall, and I was about 13 years old at the time. Growing up in Russia, alas, I didn’t have a Bar Mitzvah, so I wasn’t busy studying Torah or preparing for [...]

By |2019-06-23T14:16:46-04:00June 15th, 2015|Bamitbar, Biology, Numbers, Pentateuch (Chumash), Physics, Quantum Theory, Shlach, String Theory, Uncategorized|0 Comments
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Global or Local?

And let them make me a Sanctuary that I may dwell among them (Ex. 25:8) In modern physics, there are two paradigms usually expressed as locality and nonlocality.  Theoretical physics was born when Isaac Newton published his Philosophiæ Naturalis Principia Mathematica in 1687, where he formulated his laws of motion and the universal law of gravity.  The law of gravity says that two masses attract each other proportionally to the product of their masses and inversely proportionally to the square of the distance between them. This law said nothing about the nature of the gravitational interaction, it did not explain the mechanism of this attraction at a distance.   Newton was bothered by the question of how one body can act on another body far removed from it with nothing in between, i.e., the notion of “action [...]

By |2019-02-06T16:45:19-05:00February 2nd, 2014|Exodus (Shemot), G‑d, Pentateuch (Chumash), Physics, Quantum Theory, Science, Shemot, Terumah, Uncategorized|3 Comments
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Entangled Sisters

The story of entangled twins is continuing in the Torah portion Vayeitzei (Genesis 28:10–32:3.)  Structurally, it is very similar to the story in the previous Torah portion, Toldot (see “Entangled Twins”).  In this portion, we again read about two entangled siblings—albeit, this time, sisters—about deception and spontaneous symmetry breaking. Two sisters were Rachel and Leah. Moreover, according to Midrash, Rachel and Leah were also twins (Seder Olam Rabbah).[1] As inseparable twins, they were “entangled,” as it were. They were somewhat opposite—one introvert, the other extrovert; one beautiful, the other, perhaps not so much (she had “weak eyes”): Now Laban had two daughters: the name of the elder was Leah, and the name of the younger was Rachel. And Leah’s eyes were weak; but Rachel was of beautiful form and fair to look upon (Genesis 29:17). Rachel and [...]

By |2020-11-26T16:59:43-05:00November 8th, 2013|Entanglement, Genesis, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Symmetry, Vayetze|0 Comments
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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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Maarat HaMachpelah – Double Cave

Give me the Machpelah (double) Cave Genesis 23:9 The first legal acquisition of land in Israel takes place in this Torah portion, Chayei Sarah, when Abraham purchases a double cave, Maarat HaMachpelah, in the city of Chevron (Hebron) as an ancestral burial plot. Today, the immense rectangular structure built over the cave more than 2000 years ago during Herodian era is the oldest house of worship in the world in continuous use. Biblical commentator Rashi explains that the cave was called Machpelah (lit., double) because it had two structures—an upper chamber and a lower chamber. (Another explanation given in the Talmud relates the name of this cave to thee couples buried there—Abraham and Sarah, Isaac and Rebecca, and Jacob and Leah. According to Kabbalah, Adam and Eve are buried there as well (Zohar, Ruth 96). Cave of the Patriarchs [...]

By |2018-11-22T15:13:27-05:00October 27th, 2013|Chayei Sarah, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Physics, Soul, Space, Spirituality, Superposition, Uncategorized, Uncertainty Principle, Zohar|3 Comments
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Passover, Shabbat and the Principle of Least Action

There is hardly a Jewish holiday more widely celebrated than Passover (Pesach). Jews of all denominations, affiliations, and levels of religious observance, if any at all, gather at the Passover Seder to tell the story of the Exodus from Egypt. What is often lost amid all of the beautiful rituals, not least among them the singing of Had Gadia and other Seder songs, is the deep meaning of this holiday, which is far more profound than a mere recollection of historical events, no matter how important they may be. What is, then, the deeper meaning of the Passover that transcends its historical significance? On the morrow of Shabbat One obscure and little-known (outside of the observant Jewish community) commandment ("mitzvah") may lead us to a deeper understanding of the meaning of the Passover—this [...]

By |2021-03-14T20:50:19-04:00March 31st, 2013|Creation, Holidays (Yomim Tovim), Omer, Passover (Pesach), Physics, Science, Shabbat, Shavuot, Uncategorized|3 Comments
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Jacob’s Ladder

And he dreamed, and behold! a ladder set up on the ground and its top reached to heaven; and behold, angels of G‑d were ascending and descending upon it. Gen. 28:12   Last night I dreamed of an atom with a ladder wedged in the nucleus of the atom, with electrons jumping up and down the ladder. For those readers unencumbered by the knowledge of atomic theory, a brief historical introduction may be in order. When the planetary theory of the atom was fir Ernest Rutherford st proposed by Ernest Rutherford in 1909, it depicted an atom as a solar system wherein a nucleus was positioned at the center of the atom, with electrons orbiting around the nucleus as planets orbit the Sun. However, there was a problem. According to Maxwell’s [...]

By |2017-11-23T09:03:25-05:00November 29th, 2012|Atomic Theory, Ezekiel, Genesis, Parshah, Physics, Quantum Theory, Science, Soul, Vayetze, Zohar|4 Comments
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