Pentateuch (Chumash)

Torah – Five Books of Moses

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

Convergence of Science and Torah

Convergence of Science and Torah

The Torah portion of Yitro (Ex. 18), is the high point of the story of Exodus—the giving of the Decalogue on Mount Sinai. In a strange digression, the progressive narrative of the Exodus from Egypt is interrupted by the side story of Jethro (Yitro), the father-in-law of Moses, who comes to Sinai desert to join the Jewish nation. After hearing Moses’ account of all the miracles G‑d performed for Jewish people, Jethro exclaimed: Now I know that the Lord is greater than all deities. (Ex. 18:11) Jethro said confidently, “I know,” because, as the chief priest of Midian, he indeed knew all pagan cults and all deities worshiped in his time. Moreover, in antiquity, priests were expected to possess all secular knowledge as well (sadly, it is no longer the case). They needed to [...]

By Alexander Poltorak|2019-01-20T14:55:32-05:00January 20th, 2014|Exodus (Shemot), G‑d, Mashiach (Messiah), Parshah, Pentateuch (Chumash), Science, Shemot, Uncategorized, Yitro|2 Comments

Manna – Superposition of All Tastes

Manna – Superposition of All Tastes

And the house of Israel called the name thereof manna; and it was like coriander seed, white; and the taste of it was like wafers made with honey (Exodus 16:31). The taste of it was as the taste of a cake baked with oil (Numbers 11:8). The biblical account of manna presents us with an intriguing paradox that resonates surprisingly with modern quantum physics. In Exodus, Scripture describes this mysterious desert sustenance as tasting “like wafers made with honey,” while elsewhere characterizing it as having the flavor of “cake baked with oil.” This apparent contradiction opens the door to a fascinating exploration of how biblical text might parallel contemporary scientific understanding. The Many-Flavored Mystery The Talmud (Yoma 75b) elaborates on manna’s remarkable nature, describing it as a substance whose taste adapted to [...]

By Alexander Poltorak|2025-02-04T20:47:10-05:00January 13th, 2014|Beshalach, Collapse of the wavefunction, Exodus (Shemot), Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Shemot, Superposition, Wavefunction|0 Comments

Splitting of the Sea

Do you like riddles? Here is a riddle – what do these two figures represent in the context of Exodus? No Idea? How about a hint? Still no idea? Okay, here is the answer: Yes, the first figure represents two doorposts and the lintel marked with the blood of Passover sacrifice, as it says: וְלָקְחוּ, מִן-הַדָּם, וְנָתְנוּ עַל-שְׁתֵּי הַמְּזוּזֹת, וְעַל-הַמַּשְׁקוֹף--עַל, הַבָּתִּים, אֲשֶׁר-יֹאכְלוּ אֹתוֹ, בָּהֶם And they shall take of the blood, and put it on the two side-posts and on the lintel, upon the houses wherein they shall eat it. (Ex. 12:7) The second picture is of the splitting of the sea, as it says: וַיָּבֹאוּ בְנֵי-יִשְׂרָאֵל בְּתוֹךְ הַיָּם, בַּיַּבָּשָׁה; וְהַמַּיִם לָהֶם חוֹמָה, מִימִינָם וּמִשְּׂמֹאלָם And the children of Israel went into the midst of the sea upon the dry ground; and the [...]

By Alexander Poltorak|2019-01-16T05:59:50-05:00January 12th, 2014|Beshalach, Collapse of the wavefunction, Dreams, Entanglement, Exodus (Shemot), Parshah, Pentateuch (Chumash), Quantum Theory, Shemot, Superposition, Time, Uncategorized, Uncertainty Principle|0 Comments

Riddle — the answer

And the answer is... (drum roll, please) Yes, the first figure represents two doorposts and the lintel marked with blood of Passover sacrifice and circumcisions as is says: וְלָקְחוּ, מִן-הַדָּם, וְנָתְנוּ עַל-שְׁתֵּי הַמְּזוּזֹת, וְעַל-הַמַּשְׁקוֹף--עַל, הַבָּתִּים, אֲשֶׁר-יֹאכְלוּ אֹתוֹ, בָּהֶם And they shall take of the blood, and put it on the two side-posts and on the lintel, upon the houses wherein they shall eat it. (Ex. 12:7) The second picture is of the splitting of the sea, as it says: וַיָּבֹאוּ בְנֵי-יִשְׂרָאֵל בְּתוֹךְ הַיָּם, בַּיַּבָּשָׁה; וְהַמַּיִם לָהֶם חוֹמָה, מִימִינָם וּמִשְּׂמֹאלָם And the children of Israel went into the midst of the sea upon the dry ground; and the waters were a wall unto them on their right hand, and on their left. (Ex. 14:22) And both have to do with time. But this is a [...]

By Alexander Poltorak|2014-01-11T23:39:35-05:00January 10th, 2014|Beshalach, Bo, Exodus (Shemot), Parshah, Pentateuch (Chumash), Shemot, Time, Uncategorized|0 Comments

Riddle — a hint

There were some good ideas expressed in the comments. Close, but no cigars. Here are some hints for you folks: 1. These two pictures express ideas described in the current and the previous sidrot (weekly Torah portions); 2. Don't focus on the differences in these pictures, focus on similarities. 3. The answer has to be expressed in two psukim (verses) -- one from the last parshah and the other from the current parshah describing each respective picture. 4. Last but not least, here are these pictures again with some details:

By Alexander Poltorak|2014-01-10T11:57:37-05:00January 10th, 2014|Beshalach, Bo, Exodus (Shemot), Parshah, Pentateuch (Chumash), Shemot, Uncategorized|0 Comments

Mezuzah and Time

Bo: Exodus 10:1 – 14:16 The Erev Shabbat parshat Bo (the Eve of Sabbath of the week when we read the Torah section Bo) 2014 was my lucky day – I seem to have found an answer to a nagging question of many years. During several years from 1989 to 1996, I had been working on a book on Mezuzah. This was not a book about halachot (ritual laws) of mezuzah – there were many books on that subject – this was a book about the meaning of mezuah – its significance in Jewish history, philosophy, ethics, and mysticism. By 1996, the book was finished and I signed a contract with the leading publisher of English Judaica – Jason Aronson. I was supposed to deliver the finished manuscript in a few months, but [...]

By Alexander Poltorak|2017-02-02T22:34:18-05:00January 5th, 2014|Bo, Exodus (Shemot), G‑d, Names of G‑d, Parshah, Pentateuch (Chumash), Shemot, Time, Uncategorized|0 Comments

Carpe Diem

Carpe Diem

As we have discussed in the post, It’s the time, stupid, Pharaoh never got the message that it’s all about mastery of time. To make sure Jews did get this message, G‑d gave them the very first commandment—the commandment of keeping time, of marking new months: This month shall be unto you the beginning of months; it shall be the first month of the year to you.(Ex. 12: 2) It is important to note that Jews were not only commanded to keep time, they were commanded to “make” time. Indeed, in Biblical times, the new month was not calculated according to a calendar, as it is done today, it was proclaimed by a Bet Din (an ecclesiastic court) based on the testimony of two live witnesses, who observed [...]

By Alexander Poltorak|2018-01-19T06:54:12-05:00January 2nd, 2014|Bo, Collapse of the wavefunction, Exodus (Shemot), Holidays (Yomim Tovim), Omer, Parshah, Passover (Pesach), Pentateuch (Chumash), Quantum Theory, Rosh HaShanah, Shabbat, Shavuot, Shemot, Spirituality, Superposition, Time, Uncategorized, Wavefunction, Witnesses|0 Comments

It’s the Time, Stupid!

It’s the Time, Stupid!

There is a continuous thread about the mastery of time that weaves through the last chapters of the book of Genesis (Bereshit) and continues through the beginning of the book of Exodus (Shemot). The story of Joseph’s incarceration ends with his successful interpretation of the dreams of the Pharaoh’s chief butler and the chief baker. Joseph's genius was not only in interpreting ordinary objects (tendrils of grapes and baskets of bread) as symbols of the units of time but in understanding that the engagement in time (manifested in the chief butler’s personally squeezing the grapes into the cup and placing the cup in Pharaoh’s hand) symbolized life for the chief butler and the passivity of the chief baker (who dreamt of baskets of bread sitting on his head, with birds eating from the baskets) [...]

By Alexander Poltorak|2021-01-14T23:27:27-05:00December 31st, 2013|Dreams, Exodus (Shemot), Parshah, Pentateuch (Chumash), Time, Uncategorized, Vayeira|0 Comments

Interpreting Dreams

Interpreting Dreams

In the Torah portion Vayeishev (Gen. 37:1–40:23), we read about Joseph interpreting dreams of the Pharaoh’s chief butler and the chief baker: And the chief butler told his dream to Joseph, and said to him: “In my dream, behold, a vine was before me; and in the vine were three tendrils...” And Joseph said unto him: “This is the interpretation of it: the three tendrils are three days.” (Gen. 40:9-12) How did Joseph know that three tendrils are three days? The story repeats itself with the chief baker: When the chief baker saw that the interpretation was good, he said unto Joseph: “I also saw in my dream, and, behold, three baskets of white bread were on my head…” “This is the interpretation thereof: the three baskets are three days.” (Gen. 40:16-18) Joseph interpreting [...]

By Alexander Poltorak|2020-12-10T23:14:45-05:00November 24th, 2013|Bereshit, Dreams, Genesis, Miketz, Parshah, Pentateuch (Chumash), Time, Uncategorized, Vayeshev|3 Comments

Entangled Sisters

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 Alexander Poltorak|2020-11-26T16:59:43-05:00November 8th, 2013|Entanglement, Genesis, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Symmetry, Vayetze|0 Comments

The Entangled Twins

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 Alexander Poltorak|2018-11-07T21:37:36-05:00November 3rd, 2013|Bereshit, Entanglement, Genesis, Parshah, Pentateuch (Chumash), Physics, Purim, Quantum Theory, Symmetry, Toledot, Uncategorized|3 Comments

Maarat HaMachpelah – Double Cave

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 Alexander Poltorak|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

Paradox of the Red Heifer

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 Alexander Poltorak|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

Koraḥ Disentangled

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

The Theological Uncertainty Principle

I came across a post by Rabbi Herzl Hefter on Mekom Torah that I found so profound, I felt compelled to repost it here. The Theological Uncertainty Principle The Theological Uncertainty Principle emerges from the teachings of Rabbi Mordechai Yosef Leiner (1800-1854) (henceforth RMY) and his son Rabbi Yaakov Leiner both of Ishbica. Let us consider the following commentary offered by RMY in his work the Mei HaShiloah (henceforth MH) on Parshat Yitro: “I (in Heb., Anochi) am the Lord your G‑d”. The verse does not state ‘Ani,’ for if it stated ‘Ani’ that would imply that the Holy One Blessed Be He revealed then the totality of His light to Israel, precluding the possibility of further delving into his words, for everything is already revealed. The letter “Kaf” (of Anochi), however, denotes that the [...]

By Alexander Poltorak|2017-02-16T06:23:12-05:00February 1st, 2013|Creation, Exodus (Shemot), G‑d, Parshah, Pentateuch (Chumash), Uncertainty Principle, Yitro|1 Comment

Jacob’s Ladder

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

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 Alexander Poltorak|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

Tale of Entangled Goats

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 Alexander Poltorak|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