Quantum Torah with Alexander Poltorak film
Coming soon to a theater near you. Watch a trailer: https://youtu.be/Qzr3Ynrpkkk
Brit Milah in Six Dimensions
Sefer Yetzira speaks of three dimensions: Olam, Shanah, and Nefesh. Olam literally means "world" and signifies space. Shanah literally means "year" and signifies the dimension of time. Nefesh literally means "soul" and signifies the spiritual dimension. In another place, recognizing the space itself is three dimensional, Sefer Yetzira speaks of five-dimensional space which is a Minkowski spacetime with an addition of the fifth spiritual dimension. This construct is very similar to the Kaluza-Klein five-dimensional generalization of the General Theory of Relativity (a theory that is near and dear to my heart, because, unaware of its existence, I independently rediscovered it as a teenager.) Kaluza-Klein, first forgotten, is now experiencing a revival as a special case of the string theory. Sefer Yetzirah In every one of these dimensions, G‑d created the domain of holy [...]
Quantum Cheshire Cat and Resurrection
In memory of my father, Abraham Shamshin ben Reuven, ע"ה For those of us who can't get enough of Schrödinger cat, comes a new feline—Quantum Cheshire Cat—the creation of an Israeli physicist, Yakir Aharonov. In Alice in Wonderland, Alice meets a grinning Cheshire cat. To her amazement, the cat disappears leaving only his grin behind: "All right', said the Cat; and this time it vanished quite slowly, beginning with the end of the tail, and ending with the grin, which remained some time after the rest of it had gone. Well! I've often seen a cat without a grin, but a grin without a cat! It's the most curious thing I ever saw in my life!" According to Martin Gardner, the statement "a grin without a cat" is a reference to mathematics dissociating itself [...]
Mezuzah in Three Dimensions
The mezuzah is one of the few miẓvot ([divine] "commandments") for which the Torah states its reward. In this case, the reward is a long life for oneself and one's children: And you shall inscribe them on the doorposts ("mezuzot") of your house and on your gates, so that your days and the days of your children may be prolonged upon the land which the Lord swore to give to your fathers for as long as the heavens are above the earth. Deuteronomy 11:20-21 According to the Tosafot and the Shulḥan Aruch, the main function of the mezuzah is to protect the house from evil. Because of this attribute, the mezuzah has been called "the coat of arms in the knighthood of G‑d."* To begin to understand the mechanism of this effect of the [...]
613 Degrees of Freedom
Passover has ended. All Jews hastily return their Passover dishes to storage in special cabinets or the attic until the next Passover. After an eight-day break, home becomes filled with the aroma of freshly baked bread. Passover leaves us with the pleasant taste of burnt matzot, memories of the Seder spent with family, and stories of the Exodus. But did Passover really end? In the Mishnah (the precursor to Talmud), the holiday of Shavuot (Pentecost) is called Atzeret. This word is familiar to us from Shemini Atzeret—the holiday that follows immediately after the seven days of Sukkot, often simply viewed as the last day (or, in the diaspora, the last two days) of Sukkot. Either way, Shemini Atzeret is the conclusion of the festival of Sukkot. By designating Shavuot as Atzeret, the Mishnah seems [...]
Sensing Spirituality
It is unsurprising, then, that spiritual phenomena have never been experimentally detected in a laboratory setting. Spirituality, by definition, is non-physical. Consequently, no physical laboratory equipment can detect anything spiritual; it is inherently "neutral" to it. Physical elements do not interact with the spiritual, much like a neutron does not couple with an electromagnetic field, or an electron with a strong nuclear field. So, what does interact with spirituality? Only spirituality itself.
Paradox of the Red Heifer
Speak to the children of Israel and have them take for you a perfectly red unblemished cow, upon which no yoke was laid… The cow shall then be burned in his presence… The one who burns it shall wash his clothes in water and cleanse his body in water, and he shall be unclean until evening… Anyone touching the corpse of a human soul shall become unclean for seven days. On the third and seventh days, he shall cleanse himself with it, so that he can become clean. But if he does not sprinkle himself with it on the third and seventh days, he shall not become clean… They shall take for that unclean person from the ashes of the burnt purification offering, and it shall be placed in a vessel [filled] with [...]
Tumah and Taharah
The Hebrew words taharah and tumah, which are the subjects of the Torah portion of Chukat (Numbers 19:1–22:1), are usually translated as ritual purity and ritual impurity respectively. This, of course, has nothing to do with physical purity or impurity, as these are strictly spiritual concepts. But what is a “spiritual concept” in the first place? The word “spiritual” is thrown around a lot by religious pundits and new age gurus. This word is anathema to scientists as anything spiritual is deemed to be antithetical to science. However, this word can be given a simple, precise and strictly scientific definition. (As Descartes famously said, most arguments would disappear if people bothered giving definitions to the concepts they argue about.) Well, one thing everyone would agree with, that spiritual is not physical. Since all [...]
Jacob’s Ladder
And he dreamed, and behold! a ladder set up on the ground and its top reached to heaven; and behold, angels of G‑d were ascending and descending upon it. Gen. 28:12 Last night I dreamed of an atom with a ladder wedged in the nucleus of the atom, with electrons jumping up and down the ladder. For those readers unencumbered by the knowledge of atomic theory, a brief historical introduction may be in order. When the planetary theory of the atom was fir Ernest Rutherford st proposed by Ernest Rutherford in 1909, it depicted an atom as a solar system wherein a nucleus was positioned at the center of the atom, with electrons orbiting around the nucleus as planets orbit the Sun. However, there was a problem. According to Maxwell’s [...]
On the Nature of Time and the Age of the Universe
Presented at the International Torah and Science Conference in Miami International University on December 18, 2005 Alexander Poltorak Introduction. This is the third in a series of articles, in which I attempt to sketch various approaches to reconciling a cosmological age of the universe currently estimated at 13.75 billion years with the Jewish tradition setting this age at less than six thousand years (5770 as of the day of this writing, to be exact). The first article [1] tackled this problem from the point of view of Copenhagen interpretation of quantum mechanics suggesting that there were two distinct forms of existence—physical and proto-physical—and that the first conscious observers, Adam and Eve, collapsed the universal wavefunction, bringing the world from amorphous proto-physical existence into tangible physical existence. This approach leads to two distinct [...]