The Puzzle of Pi

March 14 is celebrated by nerds around the world as the Pi Day. When written in digits, 3/14 represents first three digits of the number traditionally represented by the Greek letter “π” (pronounced pi) – 3.14. Pi Day is celebrated by eating pie and discussing the significance of π. Some folks who have too much time on their hands compete at memorizing decimal digits representing the value of pi. The record presently stands at 67,890 digits! While eating pie is optional, discussing the significance of π is truly mandatory. So, what is π and why is to so important? π is arguably the most famous mathematical constant, expressing the ratio between the circumference of a circle and its diameter. If you take a circle with a diameter of 1, the circumference of this [...]

Quantum Torah Film Premiere

Welcome to the premiere of our first film, Quantum Torah. You can watch the film here:   Don't forget to subscribe to my channel here:

Quantum Torah — Film Premiere

I am excited to announce that the premiere of our film "Quantum Torah" is scheduled for this Friday, March 1st. You can see the trailer at Not to miss the premiere, subscribe to my channel, Quantum Torah on YouTube at: I look forward to your comments. See you on YouTube!  

Vectors, Spins, and Gender

Vectors, Spins, and Gender Speak to the children of Israel, and have them take for Me an offering; from every person whose heart inspires him to generosity, you shall take My offering. (Ex. 25:2) Every physics professor teaching physics 101 to freshmen spends the first lecture teaching vector algebra. Why vectors are so important? Because most quantities in mechanics (a branch of physics dealing with motion and forces) are vectors. A vector is a mathematical object that has a magnitude and a direction. For example, velocity is a vector – it shows not only how fast the object is moving, but also in what direction it is moving (it is different from “speed” which is an average velocity and is just a number). Similarly, acceleration is a vector, force is a vector, angular [...]

Chanukah Menorah – the River of Time

In a Kabbalistic meditation on lighting Chanukah Menorah, the Arizal links the menorah lights with a supernal river (see Candle on the River). The Arizal’s principal disciple, Rabbi Chaim Vital, writes in Shaar HaKavanot, Inyan Chanukah: One should meditate on the idea that the initials of the words ‘…l'hadleek ner Chanukah [to light the Chanukah candle]’ are the holy name called ‘Nachal’.” It is easy to see that the first letters of  “l'hadleek ner Chanukah” are three letters, Lamed (L), Nun (N), and Chet (Ch). Rearranged, these letters spell the word NaChaL – a stream or a small river. As I wrote in my essay “On the Nature of Time and the Age of the Universe” and more recently in the post “Joseph—the Master of Time,” a river has been the metaphor for time across many cultures. Does [...]

Biblical Relativity

And the life of Sarah was one hundred years and twenty years and seven years... (Gen. 23:1) Why did Esther merit to rule over 127 countries? Said God: “Let Esther, the descendant of Sarah who lived 127 years, come and rule over 127 lands. (Esther Rabbah 1:8) The Midrash Ester Rabbah compares 127 years of Sarah’s life with 127 provinces that Esther ruled. How can one compare time with space? When the Midrash says that Adam gifted 70 years of his life to his descendant, King David, it’s understandable – a year for a year. But a year for a province? What’s the connection? Hermann Minkowski When, in 1905, Albert Einstein published his Special Theory of Relativity, it was nothing short of a scientific revolution. For the first time, Einstein showed [...]

Wellsprings from Above and Wellsprings from Below

In the six hundredth year of Noah's life, in the second month, on the seventeenth day of the month… all the fountains of the great deep were broken up, and the windows of heaven were opened. (Gen. 7:11)   In calculating the time of the dawn of Messianic revelation, the Zohar writes, And after six hundred years of the sixth thousand there will be opened the gates of wisdom above and the fountains of wisdom below, and the world will make preparations to enter on the seventh thousand as man makes preparation on the sixth day of the week, when the sun is about to set. (Zohar I, 117a) The Zohar calculates this based on the letters of the Tetragrammaton, but brings the verse from this parshah as the mnemonic: “In the six [...]

Tisha B’Av on Shabbat – A Relativistic Perspective

Yesterday was the 9th day of the month of Av or, in Hebrew, Tisha B’Av. Usually, Tisha B’Av is marked by mourning and fasting. Yesterday, however, we ate festive meals, drank wine and were prohibited from fasting or displaying any signs of mourning. Because yesterday was Shabbat. Shabbat pushes off the observances of Tisha B’Av by a day. Indeed, today, Sunday, we fast and mourn the destruction of the First and the Second Holy Temple  – Bet Hamikdash – in Jerusalem, we remember the Holocaust and many other tragedies that befell the Jewish people. Why couldn’t we observe Tisha B’Av on Shabbat? After all, that was the day when on the 9th of Av, both Temples were destroyed! The simple explanation, of course, is that on Shabbat there is no mourning. On Shabbat, [...]

Purim—the Day when We Celebrate Spontaneous Symmetry Breaking

The Zohar compares Yom Kippur to Purim stating that Yom HaKipurim may be interpreted as “a day like Purim” (k-purim in Hebrew means “like purim”).  On Purim we feast; on Yom Kippur we fast—what the two can have in common? Indeed, Purim and Yom Kippur have something very important in common.  Both days share a common root—pur—meaning  a “lot” (or pl. purim—“lots”). On Yom Kippur, two lots were placed in a wooden  box—one say “to God”, and the other “to Azazel.”  (See my post, “Tale of Entangled Goats”). The High Priest relied on a lottery to choose which goat would be used for a sacrifice to God and which to atone for the sins of Jewish People. On Purim, Haman threw two lots to determine the month and the day of a pogrom, [...]



Follow My Blog

Enter your email address to subscribe to this blog and receive notifications of new posts by email.