quantum field theory

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The Standard Model

Introduction What could the Standard Model of particle physics possibly have in common with biblical accounts of the Israelites’ travels in the Sinai Desert, Kabbalistic doctrines related to the unfolding of spiritual worlds, or the arrangement of the letters in the Name of G‑d? To make connections or parallels between such unrelated concepts may sound farfetched. However, this is exactly what we are going to do in this essay. Remember that in structural analysis, we do not concern ourselves with the specifics or the nature of the objects at hand—we are interested only in the interrelationships among the objects, the high-level structure, or the storyline. So, let us not worry that particle physics speaks of subatomic particles, whereas the Torah speaks of the arrangement of Jewish tribes around the Tabernacle in the desert—topics [...]

The Soul – Part IV. The Whole vs. the Parts

This is the fourth installment in the series of essays on the nature of the soul. The first three installments can be found here: What Is a Soul? I. The Spiritual vs. the Materia What Is a Soul? II. Anatomy of the Soul What is a Soul? III. The Many Souls of Man At the dawn of classical philosophy, there were two leading schools of thought: holism and atomism. Holism holds that a system (e.g., physical, chemical, biological, social) should be viewed as a whole rather than a collection of parts. Atomism, in contrast, holds the reductionist view that every system is a collection of parts, and the system can be known only by studying its parts. Holism[1] essentially stands for the proposition that the whole is greater than the sum of its [...]

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 G‑d 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 G‑d to do? Having aced the exam on quantum field theory with flying colors, G‑d employed the favorite trick of theoretical physicists in sweeping infinities under the rug using what is called “renormalization.”[1] Roughly speaking, renormalization solves the [...]

Abel and Cain Conflict—Wave-Particle Duality

…And Abel was a keeper of sheep, but Cain was a tiller of the ground. And in process of time it came to pass, that Cain brought of the fruit of the ground an offering unto the Eternal. And Abel, he also brought of the firstlings of his flock and of the fat thereof. And the Eternal had respect unto Abel and to his offering; but unto Cain and to his offering He had not respect. And Cain was very wroth, and his countenance fell. And the Eternal said unto Cain: “Why art thou wroth? and why is thy countenance fallen? If thou doest well, shall it not be lifted up? and if thou doest not well, sin coucheth at the door; and unto thee is its desire, but thou mayest rule over it.” And Cain spoke unto Abel [...]

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 [...]

Ten Sephirot and Special Relativity

The Special Theory of Relativity, published by Albert Einstein in 1905, was a game changer. It ushered the era of new physics dubbed by some as the “Jewish physics.” And Jewish physics it was. At the core of Special Relativity is the notion of the relativity of motion – all motion is not absolute, as Newton thought, but is relative to something else, to a particular point of view. In physics, we define a point of view as a frame of reference. If you are standing in a moving train, leaving the railroad platform, in your frame of reference (which is always at rest) the train is at rest relative to your frame of reference. The railroad platform, on the other hand, is moving with respect to your frame of reference. For someone [...]

Unified Field Theory and the Dew of Resurrection

And ye shall take you on the first day the fruit of goodly trees, branches of palm-trees, and boughs of thick trees, and willows of the brook (Levit. 23:40) After completing his masterpiece, the General Theory of Relativity in 1916, Albert Einstein spent the rest of his life working fruitlessly on unifying gravity with electromagnetism. His quest was to develop a unified field theory that would unify his General Relativity, a theory of gravitational, with Maxwell electrodynamics. To his great dismay, Einstein never succeeded in developing a unified field theory. It was actually even worse. While working tirelessly on unifying two known classical fields – gravitational field and electromagnetic field – Einstein missed the incredible progress in quantum physics, of which he was one of the founders and for which he received his [...]

Jacob Teaches Wave-Particle Duality

…and he [Jacob] took some of the stones of the place and placed [them] at his head, and he lay down in that place (Gen. 28:11) And Jacob arose early in the morning, and he took the stone that he had placed at his head, and he set it up as a monument, and he poured oil on top of it. (Gen. 28:18) And Jacob said to his kinsmen, "Gather stones," and they took stones and made a pile, and they ate there by the pile. (Gen. 31:46) The debate about the nature of matter goes back to antiquity. According to atomist school of thought (Leucippus, Democritus, Epicurus, Lucretius), the matter is composed of particles or atoms. The light was also thought to be made of particles – the corpuscular theory of light (Alhazen, Newton). [...]

By |2018-11-18T16:14:56-05:00November 18th, 2018|Uncategorized|2 Comments

Purim—the Day when We Celebrate Spontaneous Symmetry Breaking

This is what Haman did not understand. Even at the highest level, where there is a complete symmetry between Jacob and Esau, G‑d chooses Jacob—a spiritual example of the spontaneous symmetry breaking: "I loved you, said the Lord, and you said, “How have You loved us?” Was not Esau a brother to Jacob? says the Lord. And I loved Jacob. And I hated Esau…" (Malachi I, 2-3). Haman failed the test on quantum field theory and ended up hanging on a gallows.

Mishkan – a Metaphor for Quantum Reality, II

Continuing the theme of my last post, Mishkan – a Metaphor for Quantum Reality, the analogy between the Tabernacle (“Mishkan”) and quantum reality goes even deeper. The quantum world is best described today by the Quantum Field Theory. According to this theory, there are no particles, only fields. When we interact with a field, it manifests itself as a quantum of the field, which, to some extent, looks and behaves like a particle. For example, when we interact with an electromagnetic field, it manifests itself as a photon – a quantum of the electromagnetic field. An electron, according to the Quantum Field Theory, is not really a particle but a quantum of the electron field, which is a quantum field that is spread across the entire universe. This quantum is an excitation of [...]

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

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 [...]

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 [...]

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