Superposition

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Pesach Sheini – in a State of Superposition

There were men who were ritually unclean [because of contact with] a dead person, and therefore could not make the Passover sacrifice on that day. So they approached Moses and Aaron on that day. Those men said to him, "We are ritually unclean [because of contact] with a dead person; [but] why should we be excluded so as not to bring the offering of the Lord in its appointed time, with all the children of Israel? Moses said to them, "Wait, and I will hear what the Lord instructs concerning you." The Lord spoke to Moses saying: “Speak to the children of Israel saying, Any person who becomes unclean from [contact with] the dead, or is on a distant journey, whether among you or in future generations, he shall make a Passover sacrifice [...]

Yom Kippur – Disentangling the Entangled

When G‑d created the first humans, Adam and Eve (Chavah), He created them as one. And G‑d created man in His own image, in the image of G‑d created He him; male and female created He them. (Gen. 1:27) Actually, as Midrash Rabbah (Gen. VIII:1) explains, Adam and Eve were created as one being as Siamese twins—attached by their side.  When the story of the creation of Adam is repeated in the next chapter, it seems as a very different story: And the Lord G‑d caused a deep sleep to fall upon the man, and he slept; and He took one of his ribs, and closed up the place with flesh instead thereof. And the rib, which the Lord G‑d had taken from the man, made He a woman, and brought her unto the [...]

Balak – Interference of Souls

Balak the son of Zippor saw all that Israel had done to the Amorites. Moab became terrified of the people, for they were numerous, and Moab became disgusted because of the children of Israel. Moab said to the elders of Midian, "Now this assembly will eat up everything around us, as the ox eats up the greens of the field. Balak the son of Zippor was king of Moab at that time. He sent messengers to Balaam the son of Beor, to Pethor, which is by the river of the land of his people, to call for him, saying, "A people has come out of Egypt, and behold, they have covered the 'eye' of the land, and they are stationed opposite me. So now, please come and curse this people for me, for [...]

Fig of Rabbi Akiva

What came first, the Schrödinger cat or the fig of Rabbi Akiva? You be the judge. Today we present a guest post by Rabbi Dr. David Kagan. Fig of Rabbi Akiva By Rabbi David Kagan, Ph.D. If Trumah (Trumah is a tithe separated from produce and given to a priest (Kohen) to be eaten with strict laws of purity) is mixed into ordinary food (chulin), and if the ratio of trumah to chulin  is less than 1:100, the Trumah is nullified (batel) and the mixture may be eaten as ordinary food. (The law of nullification, bitul, applies to mixtures of two types of food – one being forbidden one allowed. With certain ratios, the minority is nullified and it has the same status as the majority. For example, if some non-kosher food was mixed [...]

On Tzimtzum, Sefirot and Cardinal Numbers

Today is Yud Tes Kislev -- Rosh HaShanah of Chasidut. Today I received two gifts, which I'd like to share. Lately, while learning Samach Vov, I've been struggling to understand the meaning of Sefirot Ein Keitz. Today, during shacharis shemone esreh, it donned upon me that the literal meaning of Sefirot Ein Keitz is infinite numbers. I suddenly realized that while Sefirot after the Tzimtzum are ordinary numbers, Sefirot before Tzimtzum—Sefirot Ein Keitz—are cardinal numbers developed by the mathematician Georg Cantor at the end of the 19 c. Later during the day, I got the second epiphany that Tzimtzum is the collapse of the universal wavefunction describing the creation. Before Tzimtzum, all creations were in the state of "yecholot" -- potentialities. After the Tzimtzum, i.e., after the collapse of the wavefuction, these potentialities actualized in specific [...]

Schrödinger May Have Been Born Today

A man once came to a rabbi with said news – his cat just died. Rabbi politely expressed his sympathy to the owner of the deceased cat. He thanked the rabbi and asked if he could say kaddish (memorial prayer) for his cat. Rabbi was taken aback – a kaddish for a cat?! This is sacrilege! The man offered to donate to the synagogue a thousand dollars, if the rabbi would allow him to say kaddish for his cat, but to no avail. He offered two thousand, five thousand, but rabbi was unmoved. When the man finally offered ten thousand dollars, the rabbi exclaimed, “Why didn’t you tell me your cat was Jewish?!” Ervin Schrödinger I am not sure if the cat in this old Jewish joke was Jewish, but the [...]

A Girl in a State of Superposition

In my essay "Secrets of the Talking Ass," I discussed the phenomenon of Bein HaShmashot (twilight or dusk), which is neither day, nor night, nor both, nor neither, but rather a distinct state having its own unique status and laws associated with it. What is interesting about Bein HaShmashot from our point of view is that it has uncannily similar to the quantum-mechanical state of superposition. As we discussed in that essay, an electron can be in a state of superposition of having its spin up and down (with angular momentum directed counterclockwise and clockwise) or a photon in a state of superposition of horizontal and vertical polarization, or the Schrödinger cat in a state of superposition of being alive and being dead. Just as Bein HaShmashot the cat is neither dead, nor [...]

Phinehas – the Slayer of Uncertainty

A strange episode at the end of the last Torah portion, Balak, where Phinehas (Pinchas) slain a Jewish prince caught in the act with a heathen woman, is rewarded in this week’s eponymous Torah portion with the priesthood.  This begs the question, what is the connection between the act of zealotry by Phinehas and the reward of priesthood he receives for it? By way of background, as we read in the previous Torah portion, the evil king, Balak, fails to bring a curse on the Jewish people by Balaam (Bilam).  According to Midrash, Balaam advises Balak to send most beautiful Midian women to seduce Jewish men (see Flavius Josephus's Antiquities of the Jews, Book IV, Chapter VI, Paragraphs 6-12). Balak heads the advice and uses Moabite and Midianite women to seduce Jewish men [...]

Secrets of the Talking Ass

And G‑d opened the mouth of the ass, and she said to Bilam: "What have I done to you, that you have struck me these three times?" And Bilam said to the ass: "Because you have mocked me; I would there were a sword in my hand, for now I would kill you." And the ass said to Bilam: "Am not I your ass, upon which you have ridden all your life to this day? Was I ever wont to do so to you?" And he said, "No." Num. 22:28-30 Despite the simple dialogue between Balaam (Bilam) and his ass in the Torah portion of Balak, this ass was no ordinary ass. This ass saw an angel where a prophet as great as her owner, Balaam, did not. It stands to reason that [...]

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