behaaloscha

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Pesach Sheini – in a State of Superposition

In physics, we speak of systems and states. A system is a collection of physical objects (particles, waves, etc.). A system can be in various states. For example, a coin could have two states—heads or tails. A top also has two possible states—it can be spinning clockwise or counterclockwise. Light can have two states as well—being in the vertical polarization or horizontal polarization. In classical mechanics, a system can only be in a single state, i.e., at any given point in time, a coin can be either in a state “Heads” or in the alternative state “Tales”. A top can either be spinning clockwise or counterclockwise. In quantum mechanics, a system can also be in a state of superposition. Let us say, the system has two possible states A and B. If a [...]

Menorah

Speak unto Aaron, and say unto him: "When thou lightest the lamps, the seven lamps shall give light in front of the menorah." (Num. 8:1) In the Torah portion Behaalotecha (Num. 8:1), Aaron is commanded to light the Menorah so that three light on the right and three lights on the left are directed towards the middle light. On the first blush, it appears to be a very strange commandment. Why would lights on the right and on the left need to be directed towards the center light? What is the significance of that? It seems to me that this unusual arrangement hints at fundamental structure of our world. Sefer Yetzirah states that this world is created in three domains – Olam (“World” – meaning space), Shanah (“Year” – meaning time) and Nefesh (“Soul” [...]

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