Tzimtzum III—Renormalization—Sweeping Infinites Under the Rug

Sweeping Infinities Under the Rug—or Renormalization Having dealt with internal contradictions in the previous section (see Physics of Tzimtzum I — The Quantum Leap and Physics of Tzimtzum II — Collapse of the Wave Function), we are left with another problem—infinity. Although God concealed His self-contradictory nature by “sweeping paradoxes under the rug” in the process akin to the collapse of the wave function, the Light of the Infinite (Ohr Ein Sof) filled the whole of existence with infinite Divine emanation. This infinite radiation left no room for any finite creation to emerge. What was God to do? Having aced the exam on quantum field theory with flying colors, God employed the favorite trick of theoretical physicists in sweeping infinities under the rug using what is called “renormalization.”[1] Roughly speaking, renormalization solves the [...]

Physics of Tzimtzum II — Collapse of the Wave Function

In the previous post “Physics of Tzimtzum I—The Quantum Leap”, we gave a general overview of the mystical doctrine of tzimtzum—the cornerstone of Lurianic Kabbalah. It is time to get into the details. The first phrase that describes the process of tzimtzum in Etz Chaim states: Ein Sof “contracted” (tzimtzem) Himself in the point at the center, in the very center of Ohr Ein Sof. This sentence raises several difficult questions: First, what could it possibly mean that the Infinite (Ein Sof) “contracted” (tzimtzem) Himself? In Hebrew, the word tzimtzum comes from the root TZM, which means “to diminish” or “to fast,” that is, to “diminish” oneself.[1] It can also mean “to be precise,” that is, to remove ambiguity.[2] The repetition of the root TZM is a grammatical form of doubling down, an extreme [...]

Getting a Blessing Through a Wormhole

And it came to pass on the morrow, that Moses went into the tent of the testimony; and, behold, the rod of Aaron for the house of Levi was budded, and put forth buds, and bloomed blossoms, and bore ripe almonds. (Bamidbar 17:23)   In the Torah portion we read last Shabbat, God instructs Moses to Speak to the children of Israel and take of them rods, one for each fathers’ house… thou shalt write every man’s name upon his rod.” (Bamidbar 17:17) As we read in verse 23, the next morning, Aaron’s rod (i.e., staff) bore ripe almonds. Rabbi Schneur Zalman of Liadi asks the question, why almonds?[1] If the staff of Aaron had blossomed with any flowers or fruits, that would have been enough to miraculously demonstrate to the children of [...]

Wigner’s Friend Receives a Death Threat

It is related that on the day that Rabbi Yehuda HaNasi died, the Sages decreed a fast, and begged for divine mercy so that he would not die. And they said: Anyone who says that Rabbi Yehuda HaNasi has died will be stabbed with a sword. (Talmud, tr. Ketubot 104a)   We find an interesting example of the Wigner’s Friend paradox in the Gemara quoted above. The Gemara discusses the circumstances surrounding the death of Rabbi Yehuda HaNasi (Juda the Prince, knows simply as the Rebbi), one of the greatest sages of Israel, who compiled Oral Torah in the Mishnah. Why did the Sages issued a death threat to “anyone who says that Rabbi has died” promising that he “will be stabbed with a sword”? The medieval Talmudist Rabbi Bezalel Ashkenazi (1520-1592), in [...]

In the Beginning — It’s All About Change

In the beginning God created the heaven and the earth. (Genesis 1:1)   The first verse in the Torah is key to understanding the fundamentals of creation. As far as physics is concerned, there are three key words in this verse, which are highlighted in bold: In the beginning God created the heaven and the earth. According to Nachmanides, these three words—“beginning,” “heaven,” and “earth”—represent, respectively, time, space, and matter. It is easy to see that the “beginning” stands for time, because the “beginning” is clearly a temporal concept that sets off the beginning of time; that “heaven” is a metaphor for space, because the stars and the planets are perceived to be in the sky (i.e., heaven) when, in fact, they are moving in space;[1] and that “earth” is emblematic of matter, [...]

Singularity and Paradise

These are the chronicles of the heaven and of the earth when they were created, in the day that the Eternal God made earth and heaven. (Genesis 2:4) The second chapter of Genesis contains many repetitions, the most famous of which is the second rendering of the story of the creation of Adam and Eve. The classical commentators explain that this chapter adds further details to the original story of creation told in chapter one. Indeed, the Torah itself makes it clear by stating that “these are chronicles of the heaven and the earth…” Thus, the biblical cosmology sketched out in the first chapter of Genesis is retold here in greater detail. *** And a river went out of Eden to water the garden. (Genesis 2:8-10) This verse positions Eden as the wellspring [...]

Fitting Pieces of the Puzzle Together

Meditations on the Maaseh Merkavah – IV This is the fourth and the final installment in the series of posts related to Ezekiel’s prophesy, Ma’aseh Merkava, “The Making of the Chariot.” For background information, refer to the previous posts, “Space – Between Future and Past,” “Relational Space,” and “Collapse of the Wave Function.” Regular readers of my blog may be wondering about my last post “Futurist Interpretation of Quantum Mechanics,” which was about my new interpretation of quantum mechanics. This is not a physics blog, however; the Quantum Torah blog is about Torah and physics (or, more broadly, Torah and science). What did the last post have to do with Torah? Hopefully, it will all now become clear. Last Shavuot I had a very unusual experience. Sitting in shul listening to the reading [...]

Futurist Interpretation of Quantum Mechanics

(A popular summary of the paper “Towards Futuristic Interpretation of Quantum Mechanics” by Alexander Poltorak being currently prepared for publication) Quantum mechanics (QM) is one of the most successful theories of physics that withstood the test of time. Indeed, it is one of the best-tested theories known to science. Yet, we hardly advanced in our understanding of the meaning of QM since its inception almost a century ago. The indeterministic nature of the theory puts it at odds with both classical physics and our intuition, and continues to perplex physicists and philosophers of science today as it perplexed Einstein, who famously said, “God does not play dice with the universe!” Superposition and entanglement seem to defy common sense and, yet, they have been confirmed experimentally time and again. The phenomenon known as the [...]

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 [...]

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 [...]



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