Bamidbar

Parshat Bamidbar, Numbers 1:1-4:20. בְּמִדְבַּר

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 [...]

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 [...]

Mishkan – a Metaphor for Quantum Reality

And when the Tabernacle setteth forward, the Levites shall take it down; and when the Tabernacle is to be pitched, the Levites shall set it up… (Num. 1:51) During the wonders of Israelites in the desert, the Tabernacle (Heb. “Mishkan”), existed as a sanctuary only during their encampments. Whenever they traveled, the Mishkan was taken down and disassembled to be carried by Levites during the journey. When G‑d commanded Moses to set the camp, the Mishkan was reassembled and set up again. Let us fast forward some three-and-a-half thousand years to the beginning of the 20 c. It was a time of great intellectual turmoil. The discovery of the atom’s structure by Rutherford, according to which an atom resembled the solar system with a nucleus at the center and electrons orbiting the nucleus, [...]

Creatio ex Nihilo and the Number Theory

As we began this Shabbat reading the Fourth Book of Torah—Numbers, I thought, it would be appropriate to post on this blog an excerpt from my article Creatio ex Nihilo, Number Theory, Quantum Vacuum, and the Big Bang, originally published in B’Or HaTorah (Jerusalem: 2007, No. 17, p.115). Introduction The kabbalistic principle of yesh m’ayin or creatio ex nihilo—creation of something from nothing—is difficult to fully understand because we have no experience of creating something from nothing. Although many human creative activities seem to create something new, in fact, they merely change the form or nature of things. Never do we create something from nothing. A sculptor takes a preexisting slab of marble and shapes it according to his imagination. So does a potter, who molds pottery out of clay; a glassblower, who forms liquid [...]

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