Divine Emanations

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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 God planted a garden eastward, in Eden; and there He put the man whom He had formed. And out of the ground [...]

Sukkot — Bringing Time into Space

Jews have a very strange custom to take four species (Heb. arba’a minim)—a fruit of a citron tree (etrog), a branch of a date palm (lulav), boughs from the myrtle tree (chadassim), and branches of the willow tree (aravot)—and wave them in all six directions (na’anuim) while holding the species together. The precise movements involve bringing the bunch to one’s heart, then moving them to and fro in all six directions, three in each direction each time returning the bunch to the heart. A strange sight indeed… what could it possibly mean? I’ve written before that Sukkot has to do with bringing holiness into time and space. The seven days of dwelling in the sukkah-booth (a.k.a. tabernacle) is related to the most important cycle of time – 7: there are seven days in a week, seven years in a Sabbatical cycle (shemita), seven [...]

By |2020-10-15T23:06:22-04:00October 18th, 2019|Sefirot, Space, Sukkot, Sukkot, Time, Uncategorized|1 Comment

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 [...]

Fractal Tu B’Shevat

When thou shalt besiege a city a long time, in making war against it to take it, thou shalt not destroy the trees thereof by wielding an axe against them; for thou mayest eat of them, but thou shalt not cut them down; for is the tree of the field man, that it should be besieged of thee? (Deut. 20:19) On Tu B’Shevat we celebrate the New Year of the trees. There is much to be said about the legal, ecological, homiletical, and mystical meaning of this day. And, indeed, much has been written about this minor holiday from these perspectives. In this post, however, I’d like to focus on the mathematical and biological aspects of this holiday that, to my knowledge, had not been discussed until now. When the Torah rhetorically asks, [...]

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 [...]

Joseph and His Brothers

I grew up In Russia and was raised on the metric system based on the decimal arithmetic. When we immigrated to the U.S., I had to learn a new to me (but, actually, very old) Imperial system of measurements having 12 inches to a foot. 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 base-60, Hindu-Arabic system uses familiar decimal base-10 system, Mayans used 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 [...]

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 Bereshit (Genesis) and continues through the beginning of the book of Shemot (Exodus). 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) [...]

Cosmological Rosh HaShanah

This Rosh HaShanah I had the strangest dream. I dreamed that I was giving a lecture in cosmology at a university when I suddenly realized that it was Rosh HaShanah. I panicked… What was I doing at the university on such a day instead of being in my synagogue, praying and listening to sounds of a shofar?! I decided to save the day by trying to weave the three main themes of Rosh HaShanah into my lecture on cosmology. And so I began… NASA/WMAP Science Team - Original version: NASA; modified by Cherkash In the Rosh HaShanah liturgy, we refer to this day as yom harat olam – the birthday of the world (Machzor Rosh HaShanah). According to modern cosmology, the world was born in an unfathomable explosion called the Big [...]

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