Pentateuch (Chumash)

Torah – Five Books of Moses

Sex, Drugs and Rock n’ Roll

Sex, Drugs and Rock n’ Roll

And the Eternal spoke unto Moses, after the death of the two sons of Aaron, when they drew near before the Eternal and died. (Leviticus 16:1) The above verse seems perfectly innocuous and, on the surface, serves as a mere introduction to the laws of Yom Kippur service that follows. Much, however, lies beneath the surface. Some of the deepest secrets of Kabbala are hidden therein. Allow me to present them along the lines of Sex, Drugs and Rock n’ Roll. Sex The story of two eldest sons of Aaron—Nadab (Nadav) and Abihu (Avihu)—dying is told in the Torah portion of Shemini: And Nadab and Abihu, the sons of Aaron, took each of them his censer, and put fire therein, and laid incense thereon, and offered strange fire before the Eternal, which [...]

By Alexander Poltorak|2020-10-15T22:52:28-04:00May 8th, 2017|Acharei Mot, Husband and wife, Kabbalah, Leviticus, Parshah, Pentateuch (Chumash), Shemini, Spirituality, Vayikra|1 Comment

Half-Shekel – Metaphor for Entanglement

Half-Shekel – Metaphor for Entanglement

This they shall give, everyone who goes through the counting: half a shekel according to the holy shekel. Twenty gerahs equal one shekel; half of a shekel shall be an offering to the Lord Ex. 30:13 In this week’s Torah portion, Ki Tisa (Ex. 30), Jewish people are given the commandment of donating a coin as atonement, not just a coin – half a coin. But why half? If G‑d thought, twenty gerahs would be too much, He could have commanded Moses to mint another coin worth ten gerahs. But no, the coin was to remain what it was—worth twenty gerahs—and Jews were to give half a coin. Don’t you find it peculiar? I don’t, because half-coins are the favorite metaphor for explaining quantum entanglement. What is entanglement? When obtaining information about one [...]

By Alexander Poltorak|2019-02-20T15:23:07-05:00March 16th, 2017|Collapse of the wavefunction, Entanglement, Exodus (Shemot), Ki Tisa, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Shemot, Superposition, Uncategorized|2 Comments

Entangled Cherubs

Entangled Cherubs

And thou shalt make two cherubim of gold; of beaten work shalt thou make them, at the two ends of the ark-cover. And make one cherub at the one end, and one cherub at the other end; of one piece with the ark-cover shall ye make the cherubim of the two ends thereof. And the cherubim shall spread out their wings on high, screening the ark-cover with their wings, with their faces one to another; toward the ark-cover shall the faces of the cherubim be. And thou shalt put the ark-cover above upon the ark; and in the ark thou shalt put the testimony that I shall give thee. And there I will meet with thee, and I will speak with thee from above the ark-cover, from between the two cherubim which are [...]

By Alexander Poltorak|2017-05-23T19:03:51-04:00March 4th, 2017|Chronicles, Entanglement, Exodus (Shemot), G‑d, Kabbalah, Parshah, Pentateuch (Chumash), Quantum Theory, Shemot, Terumah, Uncategorized, Wavefunction|0 Comments

Joseph’s Sons

Joseph’s Sons

And now thy two sons, who were born unto thee in the land of Egypt before I came unto thee into Egypt, are mine; Ephraim and Manasseh, even as Reuben and Simeon, shall be mine. And thy sons, that thou begettest after them, shall be thine; they shall be called after the name of their brethren in their inheritance. And as for me, when I came from Paddan, Rachel died unto me in the land of Canaan in the way, when there was still some way to come unto Ephrath; and I buried her there in the way to Ephrath—the same is Beth-lehem.” And Israel beheld Joseph's sons, and said: “Wherefrom are these?” (Genesis 48:5-8) The above narrative in the Torah portion Vayechi is quite perplexing. It starts with a shocking pronouncement by Jacob that two [...]

By Alexander Poltorak|2020-12-27T21:53:49-05:00January 15th, 2017|Bereshit, Genesis, Husband and wife, Parshah, Pentateuch (Chumash), Uncategorized, Vayechi|2 Comments

One-to-Many and Many-to-One

One-to-Many and Many-to-One

And he arrived upon the place and lodged there all night, because the sun was set; and he took from the stones of the place, and put them under his head, and lay down in that place to sleep. (Genesis 28:11) And Jacob rose up early in the morning, and took the stone that he had put under his head, and set it up for a pillar, and poured oil upon the top of it. (Genesis 28:18) Rashi notes that, before Jacob lies down to sleep, the verse speaks of the plurality of stones: “he took from the stones of that place, and put them under his head.” When Jacob wakes up, the verse suddenly switches from plural to singular, mentioning only one stone: “and took the stone that he had put [...]

By Alexander Poltorak|2020-11-25T23:52:49-05:00December 9th, 2016|Bereshit, Creation, Dreams, Genesis, G‑d, Mashiach (Messiah), Parshah, Pentateuch (Chumash), Physics, Science, Uncategorized, Vayetze|3 Comments

Chayei Sarah – where Kabbalah meets physics

And these are the years of the life of Ishmael: one hundred years and thirty years and seven years (Gen. 25,17) You might say the ‘hand of G‑d’ wrote that number [137] – Richard Feynman The mystery about α is actually a double mystery. The first mystery – the origin of its numerical value α ≈ 1/137 has been recognized and discussed for decades. The second mystery – the range of its domain – is generally unrecognized. — Malcolm H. Mac Gregor, M.H. MacGregor (2007). The Power of Alpha. World Scientific. p. 69. Kabbalah is the esoteric level of the Torah. The word “kabbalah” (קבלה) literally means “receiving” or “received [wisdom].” The gematriah (numerical value) of the word “kabbalah” is 137: Kuf (100) + Bet (2) + Lamed (30) + Heh (5) = 137. This number appears explicitly for the first time [...]

By Alexander Poltorak|2018-10-28T19:58:33-04:00November 27th, 2016|Atomic Theory, Bereshit, Chayei Sarah, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Science, Soul, Spirituality, Uncategorized|3 Comments

The Fifth Force – Epilog

This post is a continuation and the conclusion of the previous post, THE FIFTH FORCE. Aside from the connection with the last week’s Torah portion, Vayelech, there is also connection with and Aseret Yimei Teshuvah (Ten Days of Repentance) and Yom Kippur. When it comes to physics of fundamental forces, there are two unresolved problems: (i) unification of gravity with the other three fundamental forces (electromagnetic, strong and weak); and (ii) discovery of the fifth force. Both problems are related to repentance (teshuvah), which comes to sharp focus on the Ten Days of Repentance (Aseret Yimei Teshuvah) and Yom Kippur. Firstly, the word “teshuva” doesn’t mean “repentance”, it literally means “return” In Kabbalah tradition, the word TeShuVaH, is read as “ToShuV H” – return of the letter “heh”. It is talking about the [...]

By Alexander Poltorak|2018-10-14T16:45:57-04:00October 13th, 2016|Deuteronomy, Kabbalah, Mashiach (Messiah), Names of G‑d, Parshah, Pentateuch (Chumash), Physics, Sefirot, Soul, Uncategorized, Vayelech, Yom Kippur|5 Comments

The Fifth Force

The Fifth Force

Now, therefore, write ye this song for you, and teach thou it the children of Israel.” (Deut. 31:19) The four known fundamental forces are: gravitational force, electromagnetic force, strong (nuclear) force, and the weak force (beta decay). Newton first described the gravitational force in his famous universal law of gravity. Today, we use Einstein’s General Theory of Relativity to describe gravitation fields. Electromagnetism was described in the 19 c. by Faraday and Maxwell. Strong and week forces were discovered much later, in the second half of the 20 c. Since Albert Einstein started a search for unified field theory, unsuccessfully trying to unify (describe by a single theory) gravity and electromagnetism, the quest for a unified field theory – the “Theory of Everything” – became the holy grail of theoretical physics. Strong and [...]

By Alexander Poltorak|2019-10-03T17:33:39-04:00October 11th, 2016|Deuteronomy, Devarim, G‑d, Names of G‑d, Parshah, Pentateuch (Chumash), Physics, Science, Sefirot, Sefirot, Uncategorized, Vayelech|4 Comments

Standing and Moving

Standing and Moving

According to the Saadia Gaon, these two Torah portions – Nitzavim and Vayelech – are really one portion, which sometimes is split into two. In the language of Quantum Mechanics (QM), the two portions are entangled, in a manner of speech, and are described by the single "wavefunction." Needless to say, this is not meant in a literal sense, as QM describes physical objects, whereas these biblical chapters are certainly not. Nevertheless, taking poetic license, we can loosely say that these portions are entangled, i.e., they are really one. Nitzavim and Vayelech, however, speak of the opposite themes – “nitzavim” connotes standing( lit., you stand), while “vayelech” connotes walking (lit., …and he walked). As much as it seems paradoxical at first, from the physicist’s point of view, it is not surprising at all. Typically, [...]

By Alexander Poltorak|2020-10-15T22:53:46-04:00October 9th, 2016|Collapse of the wavefunction, Deuteronomy, Devarim, Devarim, Entanglement, Nitzavim, Parshah, Pentateuch (Chumash), Quantum Theory, Rosh HaShanah, Superposition, Uncategorized, Vayelech, Wavefunction|1 Comment

Fractal Patterns in the Torah

In the Torah portion Emor (Leviticus 21:1–24:23), we are instructed to abstain from work every seventh day on Shabbat. Next week’s Torah portion, Behar, continues this theme and instructs us to abstain from agricultural work every seventh Sabbatical year, Shmita. And the Torah doesn’t stop there. It instructs us to count seven Shmitas and then observe a Jubilee, Yovel. Do you notice a pattern? Every seven days, every seven years, every seven Shmitas… Furthermore, the Midrash states the world will exist for seven thousand years with the seventh millennium being a thousand years of the kingdom of Mashiach (Messiah)—yom shekuloy Shabbat—one long Shabbat. A second-century sage, Rabbi Huniah ben HaKanah, interprets this Midrash to mean that the world will last seven Cosmic Shmitas, i.e., 49 thousand years (which, according to a prominent 13th–14th [...]

By Alexander Poltorak|2019-05-15T17:51:30-04:00May 31st, 2016|Behar, Emor, Fractals, Mathematics, Omer, Parshah, Pentateuch (Chumash), Sefirot, Sefirot, Space, Time, Uncategorized, Vayikra|1 Comment

Shabbat in Numbers

Last week Torah portion, Emor, speaks about the prohibition of working on Shabbat. In fact, the Talmud enumerates precisely 39 categories of labor forbidden on Shabbat. But why 39? Rabbi Shimon b’ Rabbi Yossi ben Lakunya (Shabbat 49b) suggests that the number 39 can be derived from the number of times the various forms of the word “melacha” (work) appear in the Torah. Unfortunately, it’s not easy to see how this works out. In his commentary on this passage, Rabbi Hananel ben Hushiel (990-1053) already pointed out that this word appears 61 times in the Torah, not 39! Actually, this word actually appears 63 times! Another Talmudic Sage, Rabbi Chanina of Sepphoris derives the number 39 homiletically strenuously computing gematria of the phrase, “These are the things.” (Shabbat 7:2) The lack of clear [...]

By Alexander Poltorak|2019-03-26T16:25:51-04:00May 22nd, 2016|Creation, Emor, Husband and wife, Kabbalah, Leviticus, Parshah, Pentateuch (Chumash), Sefirot, Shabbat, Sukkot, Uncategorized, Vayikra|2 Comments

Relativity of Manna

Relativity of Manna

This is the thing which the Lord hath commanded: Gather ye of it every man according to his eating; an omer a head, according to the number of your persons, shall ye take it, every man for them that are in his tent.' And the children of Israel did so, and gathered some more, some less. And when they did mete it with an omer, he that gathered much had nothing over, and he that gathered little had no lack; they gathered every man according to his eating. (Exodus 16-18) In the desert, Jewish people were given manna—one omer[1] (Biblical measure) per member of the household. Rashi explains: Some gathered [too] much [manna] and some gathered [too] little, but when they came home, they measured with an omer, each one what he had [...]

By Alexander Poltorak|2021-01-26T21:52:05-05:00January 24th, 2016|Beshalach, Exodus (Shemot), Holidays (Yomim Tovim), Parshah, Shemot, Uncategorized|1 Comment

Tree of Life or Nothingness

Tree of Life or Nothingness

In the Torah portion Shlach (Numbers 13:1-15:41), Moses instructs his spies to scout the land of Canaan and to bring back a report. He says to them: … What is the soil like – is it fat or lean? Are there any trees in it or not? You shall be courageous and take from the fruit of the land. (Num. 13:20) The verse seems pretty straight-forward – bring the fruits of the land as a proof that there fruit trees in the land. The trouble is, this is not exactly what the verse says. Translated literally, the verse reads: … What is the soil like – is it fat or lean? Is there a tree in it or nothing? You shall be courageous and take from the fruit of the land. This literal [...]

By webadmin|2018-06-08T07:07:49-04:00January 22nd, 2016|Numbers, Pentateuch (Chumash), Shlach, Uncategorized|1 Comment

Balak and Balaam – an entangled pair

In my last year’s post "Balak – Interference of Souls," I suggested that Balak needed Balaam (Bilam) to cause constructive interference to make the curse more powerful. This year, while reading this Torah portion last Shabbat, I realized that there was another reason for which Balak needed Balaam – the entanglement. As I wrote last year, both Balak and Balaam received evil aspects of the souls of Cain and Abel (Havel) but in different proportions: Balak was primarily a reincarnation (gilgul) of the evil aspect of Cain (although he also received some smaller portion of the evil aspect of the soul of Abel) and Balaam was primarily a reincarnation of the evil aspect of Abel (although he also received some smaller portion of the evil aspect of the soul of Cain). Let us [...]

By webadmin|2019-07-16T22:57:19-04:00January 18th, 2016|Balak, Bamitbar, Entanglement, Numbers, Pentateuch (Chumash)|0 Comments

Joseph teaches Pharaoh a lesson in fundamental forces

Joseph teaches Pharaoh a lesson in fundamental forces

This week, we read in the Torah portion Vayigash (Gen. 44:18–47:27) about Joseph revealing himself to his brothers and Jacob coming to Egypt with his family. This storyline culminates by Joseph presenting his brothers and his father to Pharaoh. A curious thing, though—instead of presenting all eleven brothers, Joseph presents only five. This fact does not escape the attention of Rashi, who comments as follows: Joseph chose the weakest of his brothers to avoid conscription of the brothers to the military service in the Pharaoh’s army. This explanation always left me dissatisfied. Even if it explains why Joseph presented fewer than all of his brothers to Pharaoh, it does not explain the number—why five? Why not one, or two, or three? The number five in Hebrew is represented by the letter Heh. I submit to [...]

By Alexander Poltorak|2018-10-14T16:57:40-04:00December 20th, 2015|Bereshit, Creation, Genesis, G‑d, Names of G‑d, Parshah, Pentateuch (Chumash), Physics, Quantum Field Theory, Quantum Theory, Uncategorized, Vayigash|1 Comment

Jacob’s Sheep—Particles, Fields and Strings

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 Alexander Poltorak|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

Covenant between the Parts as a Metaphor for Quantum Entanglement

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

Adam Kadmon and Holographic Universe

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 Alexander Poltorak|2018-10-08T21:52:53-04:00October 11th, 2015|Bereishit, Bereshit, Cosmology, Creation, Genesis, Pentateuch (Chumash), Physics, Science, Spirituality, Uncategorized|0 Comments

Balak – Interference of Souls

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 Alexander Poltorak|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

Fig of Rabbi Akiva

What came first, the Schrödinger cat or the fig of Rabbi Akiva? You be the judge. Today we present a guest post by Rabbi Dr. David Kagan. Fig of Rabbi Akiva By Rabbi David Kagan, Ph.D. If Trumah (Trumah is a tithe separated from produce and given to a priest (Kohen) to be eaten with strict laws of purity) is mixed into ordinary food (chulin), and if the ratio of trumah to chulin is less than 1:100, the Trumah is nullified (batel) and the mixture may be eaten as ordinary food. (The law of nullification, bitul, applies to mixtures of two types of food – one being forbidden one allowed. With certain ratios, the minority is nullified and it has the same status as the majority. For example, if some non-kosher food was mixed [...]

By Alexander Poltorak|2019-03-17T16:12:11-04:00June 21st, 2015|Collapse of the wavefunction, Deuteronomy, Devarim, Quantum Theory, Superposition, Uncategorized|0 Comments

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