sephirah

Yom Kippur—The Day of Pure Delight

Yom Kippur—The Day of Pure Delight

Yom Kippur means “The Day of Atonement.” Some view it as a frightening day full of regrets of the past and anxiety for the future. However, Chasidic philosophy sees Yom Kippur as the day of pure delight. On a simple level, Yom Kippur is the day of forgiveness--the day when we all going to be forgiven, cleansed, and atoned. What is not to be happy about? Moreover, it is a day when we get our personal rendezvous with our Heavenly Father, and with ourselves. The last prayer of Yom Kippur is called Neila ("closing"). It is usually interpreted as the closing of the doors of prayers when the penitent feverishly trying to squeeze another prayer before the doors are shut. In Hassidic teachings, the Neila is viewed completely differently—it is the most cherished [...]

By Alexander Poltorak|2023-09-24T00:35:40-04:00September 15th, 2021|Uncategorized|0 Comments

Steering Isaac’s Blessing

Steering Isaac’s Blessing

And Rebekah spoke unto Jacob, her son, saying: “Behold, I heard thy father speak unto Esau thy brother, saying: Bring me venison, and make me savoury food, that I may eat, and bless thee before the Eternal before my death. Now, therefore, my son, hearken to my voice according to that which I command thee. Go now to the flock, and fetch me from thence two good kids of the goats; and I will make them savoury food for thy father, such as he loveth; and thou shalt bring it to thy father, that he may eat, so that he may bless thee before his death.” And Jacob said to Rebekah his mother: “Behold, Esau my brother is a hairy man, and I am a smooth man. My father peradventure will feel me, [...]

By Alexander Poltorak|2020-11-24T22:04:03-05:00November 22nd, 2020|Bereshit, Collapse of the wavefunction, Entanglement, Genesis, Parshah, Pentateuch (Chumash), Quantum Theory, Symmetry, Toledot, Uncategorized|0 Comments

Salt: The Covenant of the Opposites

Salt: The Covenant of the Opposites

And every meal-offering of thine shalt thou season with salt; neither shalt thou suffer the salt of the covenant of thy G‑d to be lacking from thy meal-offering; with all thy offerings thou shalt offer salt." (Leviticus 2:13) Torah dictates that all offerings to G‑d must be brought together with salt. Classical commentators ask: What is so special about salt that it is an indispensable ingredient of any sacrifice? Moreover, why is it called the covenant of salt? Nachmanides explains: The Torah also uses this covenant as a model for other covenants, as both the priestly covenant[1] and the Davidic covenant[2] are called “covenant of salt” because they are upheld just as the sacrificial covenant of salt…. I am of the opinion that the significance is that the salt is water, which [...]

By Alexander Poltorak|2020-04-01T23:00:14-04:00March 31st, 2020|Chemistry, II Kings, Kabbalah, Leviticus, Parshah, Pentateuch (Chumash), Science, Sefirot, Uncategorized, Vayikra, Vayikra, Zohar|2 Comments

The Tree of Life and Wave Mechanics

The Tree of Life and Wave Mechanics

As we discussed in the earlier post, The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle, the Heisenberg uncertainty principle is a direct consequence of wave-particle duality. If so, shouldn’t we expect to see some hints at the wave nature of reality in the narrative of the Garden of Eden? And the Tree of Life (Etz HaChaim): what was it doing in Eden? It appears in the narrative only twice—in the very beginning and at the very end of the story of the primordial sin—almost as if to put a frame around the picture. At the start of this narrative, the verse states: And the Lord G‑d planted a garden eastward, in Eden; and there He put the man whom He had formed. And out of the ground [...]

By Alexander Poltorak|2020-10-15T22:46:57-04:00December 30th, 2019|Bereishit, Bereshit, Collapse of the wavefunction, Creation, Genesis, Kabbalah, Parshah, Pentateuch (Chumash), Quantum Theory, Sefirot, Superposition, Tanakh, Uncategorized, Uncertainty Principle, Wavefunction, Zohar|3 Comments

The Primacy of the Prime Numbers

And the messengers returned to Jacob, saying: “We came to thy brother Esau, and moreover he cometh to meet thee, and four hundred men with him.” (Genesis 32:7) On this blog, we primarily focus on structural parallels between Torah and Physics and, more specifically, quantum physics. Today I would like to explore an interesting parallel between this Torah portion and the number theory. In my previous essay on the Torah Portion Vayishlach, “Jacob Meets Esau and his 400 men,” I wrote “Esau and his 400 men together were 401 strong. 401 is a prime number that is the sum of seven consecutive prime numbers (43+47+53+59+61+67+71).” In that essay, I focused on the significance of the number seven. Let us now focus on the significance of the prime number. The structural parallel I see [...]

By Alexander Poltorak|2019-12-15T00:54:15-05:00December 13th, 2019|Bereshit, Genesis, Mathematics, Mathematics, Parshah, Pentateuch (Chumash), Randomness, Sefirot, Uncategorized, Vayishlach|3 Comments

Daughters of Zelophehad

Daughters of Zelophehad

Then drew near the daughters of Zelophehad …. of the families of Manasseh, the son of Joseph; and these are the names of his daughters: Mahlah, Noah, and Hoglah, and Milcah, and Tirzah. And they stood before Moses and before Eleazar, the priest, and before the princes and all the congregation at the entrance to the Tent of Meeting, saying: “Our father died in the desert, …. and he had no sons. Why should our father's name be done away from among his family, because he had no son? Give unto us a possession among the brethren of our father.” (Numbers 27:1-4) In the Torah portion that was read last Shabbat in the Diaspora, Phineas (Pinchas), we read the story of the five daughters of Zelophehad who brought the claim for inheritance in [...]

By Alexander Poltorak|2022-04-21T14:21:49-04:00July 28th, 2019|Bamitbar, Kabbalah, Mashiach (Messiah), Names of G‑d, Numbers, Parshah, Pentateuch (Chumash), Physics, Pinchas, Quantum Field Theory, Science, Sefirot, Standard Model, Uncategorized|8 Comments

Ẓiẓit, Koraḥ, and Wave-Particle Duality

Ẓiẓit, Koraḥ, and Wave-Particle Duality

The Lord spoke to Moses, saying: Speak to the children of Israel and you shall say to them that they shall make for themselves fringes [ẓiẓit] 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. 15:37,38) They [Koraḥ and his men] assembled against Moses and Aaron, and said to them, “You take too much upon yourselves, for the entire congregation are all holy, and the Lord is in their midst. So why do you raise yourselves above the Lord's assembly” (Num. 16:3) The Torah portion Shelach deals primarily with the fiasco of the spies sent by Moses to scout out the land of Canaan. The portion ends, however, seemingly out of turn, with the commandment to [...]

By Alexander Poltorak|2023-06-18T09:58:51-04:00July 2nd, 2019|Bamitbar, Korach, Numbers, Parshah, Pentateuch (Chumash), Physics, Quantum Theory, Sefirot, Shlach, String Theory, Uncategorized, Uncertainty Principle|3 Comments

Relational Space

Relational Space

Meditations on the Maaseh Merkavah – II This post is a sequel to my previous post, “Space – Between Future and Past.” For background information, the reader is referred to that post. My second Shavuot “epiphany” was that space is relational. Not that I realized that space was relational for the first time – I always thought so. But, for some reason, thinking about the meaning of the four faces of Chayot, the "living creatures" – the angelic beings described in the prophecy of Ezekiel that we read on Shavuot – made it absolutely clear in my mind. Isaac Newton The debate about the nature of space goes back at least to the times of Newton and Leibniz. Isaac Newton believed (as it is apparent from his mechanics and as it [...]

By Alexander Poltorak|2020-10-20T00:26:20-04:00June 17th, 2019|Ezekiel, Kabbalah, Mathematics, Mathematics, Names of G‑d, Physics, Relativity, Sefirot, Shavuot, Space, Time, Uncategorized|8 Comments

Space – Between Future and Past

Space – Between Future and Past

Meditations on the Maaseh Merkavah – I We do science by studying nature. We study physics in a lab, peering into space or working out mathematical models with pencil and paper to see if they fit experimental data. However, great mystics of the past were able to see how this world operates by gazing into spiritual worlds above. On Shavuot, the holiday when we celebrate the revelation on Mount Sinai, we read the prophecy of Ezekiel (the First Vision of Ezekiel) called Maaseh Merkavah (or Ma'aseh Merkabah)—Work of the Chariot. Masters of Kabbalah have taught us that understanding the Work of the Chariot gives the initiated an understanding of the works of nature. This Shavuot, studying and thinking about Maaseh Merkavah, I came to understand some profound insights about the physics of space [...]

By Alexander Poltorak|2024-06-09T17:14:43-04:00June 13th, 2019|Ezekiel, Fractals, G‑d, Holidays (Yomim Tovim), Kabbalah, Names of G‑d, Physics, Relativity, Science, Sefirot, Sefirot, Shavuot, Space, Spirituality, Tanakh, Time, Topology, Uncategorized|6 Comments

The Beard of the Long Face is Found

The previous Lubavitcher Rebbe, the Rebbe Rayatz (a.k.a. the Fridriker Rebbe) told the story about his father, the Rebbe Rashab. Once the brother of Rebbe Rashab, Rabbi Menachem Mendel (a.k.a. the RM”M) told him that he read in a magazine an article that stated that scientists found a nerve in the brain regulating the cognitive function so that when a person needed to remember something he would tilt his head looking up, whereas when the person needed to concentrate, he’d tilt his head down. The Rebbe Rashab took his brother to his study, took from the shelf a book by the Second Lubavitcher Rebbe, the Mittler Rebbe, in which it stated the same thing. The Rebbe Rashab said to his brother, “You’d think he was a doctor, but he wasn’t. He saw Adam [...]

By Alexander Poltorak|2018-11-10T23:01:55-05:00August 31st, 2018|Bereshit, Biology, Genesis, Kabbalah, Neuroscience, Parshah, Pentateuch (Chumash), Science, Sefirot, Sefirot, Toledot, Uncategorized, Zohar|4 Comments

Shoo Away the Mother Bird

Shoo Away the Mother Bird

If a bird's nest chances before thee in the way, in any tree or on the ground, with fledglings or eggs, and the mother sitting upon the fledglings, or upon the eggs, thou shalt not take the mother with the young; thou shalt shoo away the mother, but the young thou mayest take unto thyself; that it may be well with thee, and that thou mayest prolong thy days. (Deut. 22:6-7) Many years ago, I was at a physics conference in Princeton in honor of the 85th birthday of John Archibald Wheeler. At the lunch break, I sat alone at a table to eat my kosher lunch (I was always uncomfortable eating this airplane food typically served at conferences whenever I order kosher food. The sound of unwrapping the cellophane attracts everyone’s attention [...]

By Alexander Poltorak|2023-08-25T10:06:23-04:00August 24th, 2018|Deuteronomy, Devarim, Ki Teitzei, Parshah, Pentateuch (Chumash), Uncategorized|1 Comment

Five Worlds

Five Worlds

Today, Yud Shvat, is the yartzeit (anniversary of passing) of the sixth Lubavitcher Rebbe, Rabbi Yosef Yitzchak Schneersohn, a.k.a. the Rebbe Rayatz, or the Frierdiker Rebbe. On the day of his yartzeit, it is customary to study his last maamar (Chassidic discourse), Basi LeGani. One of the themes expounded in the first chapter of this discourse is the concepts of four worlds: Atzilut, Beriah, Yetzirah, and Assiyah (collectively referred to as ABYA). Actually, in Kabbala and Chassidic philosophy, we speak of five worlds and the “world,” which precedes Atzilut is call Adam Kadmon (Primordial Man, often referred to by its acronym as the A”K). In this post, I will draw a parallel between these spiritual worlds and stages of the creation of our physical world. Why do that? It is axiomatic in Jewish mysticism [...]

By Alexander Poltorak|2017-05-23T19:06:38-04:00February 6th, 2017|Collapse of the wavefunction, Creation, Kabbalah, Physics, Quantum Theory, Science, Sefirot, Sefirot, Space, Spirituality, Time, Uncategorized, Wavefunction|0 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

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

Yom Kippur – Disentangling the Entangled

When G‑d created the first humans, Adam and Eve (Chavah), He created them as one. And G‑d created man in His own image, in the image of G‑d created He him; male and female created He them. (Gen. 1:27) Actually, as Midrash Rabbah (Gen. VIII:1) explains, Adam and Eve were created as one being as Siamese twins—attached by their side. When the story of the creation of Adam is repeated in the next chapter, it seems as a very different story: And the Lord G‑d caused a deep sleep to fall upon the man, and he slept; and He took one of his ribs, and closed up the place with flesh instead thereof. And the rib, which the Lord G‑d had taken from the man, made He a woman, and brought her unto the [...]

By Alexander Poltorak|2017-09-24T22:38:12-04:00September 24th, 2015|Creation, Entanglement, Holidays (Yomim Tovim), Mashiach (Messiah), Randomness, Superposition, Uncategorized, Yom Kippur|0 Comments

The End of Days I

In this Torah portion, Vayechi, Jacob, gathers his children to reveal to them “Ketz HaYamim”–“the End of Days.” Rashi explains that Jacob’s intention was to reveal the date of the coming of Mashiach (Messiah). Jacob called for his sons and said, "Gather and I will tell you what will happen to you at the end of days. (Gen. 4:1) However, he proceeds rebuking his sons without revealing to them the Ketz — End of Days. Rashi says that Jacob looked into the future and saw his children being in exile for a long time. Rashi says that the word “ketz” (end)—spelled in Hebrew Kof-Tzadik—has the numerical value of 190. (Kof=100, Tzadik=90. 100+90=190). Jacob gazed 190 years into the future and saw his children still enslaved in Egypt. He became depressed and Shechinah (Divine Presence) left him. [...]

By Alexander Poltorak|2017-01-13T15:54:32-05:00January 2nd, 2015|Genesis, Mashiach (Messiah), Names of G‑d, Pentateuch (Chumash), Sefirot, Uncategorized, Vayechi|1 Comment

Joseph and His Brothers

Joseph and His Brothers

I grew up in Russia and was raised on the metric system based on decimal arithmetic. When we immigrated to the U.S., I had to learn a new for me (but, actually, very old) Imperial system of measurements. I still struggle with it (decimal system, apparently, was hardwired in my brain). There are many number-systems or positional notation systems. Ancient Babylonians used the base-60 system; the Hindu-Arabic system uses the familiar decimal base-10 system; the Mayans used the base-20 system. There are base-2 binary, base-12 duodecimal, and base-16 hexadecimal systems, to name a few. Aside from the binary system used by computers, we humans mostly use decimal and, sometimes, duodecimal systems. The all-familiar decimal system is used in the metric system of measurements. In base-10 positional notation, there are 10 decimal digits—0, 1, [...]

By Alexander Poltorak|2020-12-10T20:20:44-05:00December 14th, 2014|Bereshit, Chanukah, Genesis, Holidays (Yomim Tovim), Husband and wife, Kabbalah, Mashiach (Messiah), Mathematics, Mathematics, Names of G‑d, Parshah, Pentateuch (Chumash), Science, Sefirot, Uncategorized, Vayeshev|1 Comment

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

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