Quantum Theory

/Quantum Theory

The Tree of Life and Wave Mechanics

As we discussed in the earlier post, The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle, the Heisenberg uncertainty principle is a direct consequence of wave-particle duality. If so, shouldn’t we expect to see some hints at the wave nature of reality in the narrative of the Garden of Eden? And the Tree of Life (Etz HaChaim): what was it doing in Eden? It appears in the narrative only twice—in the very beginning and at the very end of the story of the primordial sin—almost as if to put a frame around the picture. At the start of this narrative, the verse states: And the Lord God planted a garden eastward, in Eden; and there He put the man whom He had formed. And out of the ground [...]

Why the first humans were not allowed to eat from the Tree of Knowledge

As always in science, every answered question breeds new questions. Now that we understand that the Tree of Life and the Tree of Knowledge are metaphors for, respectively, the wave function and the collapse of the wave function (see my earlier post, "The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle"), we are faced with more questions. Why did God not want Adam and Eve to eat from the Tree of Knowledge? And what was so terrible about the forbidden fruit that eating it warranted capital punishment?[1] Let us recall that, according to our tradition, Adam and Eve were prohibited from eating from the Tree of Knowledge only for three hours. Adam and Eve were created on the sixth day—the Eve of the Sabbath (Erev Shabbat). With [...]

The Tree of Knowledge as a Metaphor for Superposition of States and Heisenberg’s Uncertainty Principle

And out of the ground made the Lord God to grow every tree that is pleasant to the sight, and good for food; and the tree of life also in the midst of the garden, and the tree of the knowledge of good and evil. (Genesis 2:9) And the Lord God commanded the man, saying: “Of every tree of the garden thou mayest freely eat; but of the tree of the knowledge of good and evil, thou shalt not eat of it; for in the day that thou eatest thereof thou shalt surely die.” (Genesis 2:16–17) Upon creating Adam and Eve, God permitted them to eat any fruit from the Garden of Eden, except for the forbidden fruit—the fruit of the Tree of Knowledge. Disregarding this injunction, Adam and Eve ate the forbidden [...]

Cosmic Symphony

Strings vibrate, Souls tremble, Angels are running and returning, God is touching and not touching – The rhythms of the universe… Nothing stays still… all is in flux. The inexorable flow of time is synonymous with the existence itself. Indeed, everything exists in time. However, from where does the time come? This is, perhaps, the greatest mystery of science. In modern physics, we do not know what time is, let alone from where it comes. We only know how to measure it – by counting the number of periodic intervals, which we accept as a unit of time. For example, in antiquity, people used a night-day cycle as the basic unit of time. This cycle was born out of observations of the apparent rotation of the sun around the earth (although, in reality, [...]

Chol Hamo’ed — Days in Superposition

Today is Chol Hamo’ed Sukkot – the intermediate days between the first and the last days of the holiday of Sukkot. These days are not quite holidays, but they are not ordinary days either. They are a strange hybrid or a mixture of a holiday and mundane days. In physics, we have a word for that – the state of superposition. I’ve written about it in my article Pesach Sheini – in a State of Superposition. Not to repeat myself, I refer the reader to that article for background information. In short, in physics, we speak of states of the system. Say, one state of a dreidel may be spinning clockwise. Another state would be spinning counterclockwise. These are pure states. In quantum mechanics, a system could be in a mixed state. Say, [...]

The Land We Married

And the Lord spoke unto Moses, saying: 'Command the children of Israel, and say unto them: When ye come into the land of Canaan, this shall be the land that shall fall unto you for an inheritance, even the land of Canaan according to the borders thereof.” (Numbers 34:1-2) And ye shall inherit the land by lot according to your families—to the more ye shall give the more inheritance, and to the fewer, thou shalt give the less inheritance; wheresoever the lot falleth to any man, that shall be his; according to the tribes of your fathers shall ye inherit.” (Numbers 33:54) And every daughter, that possesseth an inheritance in any tribe of the children of Israel, shall be wife unto one of the family of the tribe of her father, that the [...]

Daughters of Zelophehad

Then drew near the daughters of Zelophehad …. of the families of Manasseh, the son of Joseph; and these are the names of his daughters: Mahlah, Noah, and Hoglah, and Milcah, and Tirzah. And they stood before Moses and before Eleazar, the priest, and before the princes and all the congregation at the entrance to the Tent of Meeting, saying: “Our father died in the desert, …. and he had no sons. Why should our father's name be done away from among his family, because he had no son? Give unto us a possession among the brethren of our father.” (Numbers 27:1-4) In the Torah portion that was read last Shabbat in the Diaspora, Phineas (Pinchas), we read the story of the five daughters of Zelophehad who brought the claim for inheritance in [...]

Tzitzit, Korach, and Wave-Particle Duality

The Lord spoke to Moses, saying: Speak to the children of Israel and you shall say to them that they shall make for themselves fringes on the corners of their garments, throughout their generations, and they shall affix a thread of sky blue [wool] on the fringe of each corner. (Num. 15:37,38) They [Korach and his men] assembled against Moses and Aaron, and said to them, “You take too much upon yourselves, for the entire congregation are all holy, and the Lord is in their midst. So why do you raise yourselves above the Lord's assembly” (Num. 16:3)   The Torah portion Shlach, which we read last Shabbat, deals primarily with the fiasco of the spies sent by Moses to scout out the land of Canaan. The portion ends, however, seemingly out of [...]

Fitting Pieces of the Puzzle Together

Meditations on the Maaseh Merkavah – IV This is the fourth and the final installment in the series of posts related to Ezekiel’s prophesy, Ma’aseh Merkava, “The Making of the Chariot.” For background information, refer to the previous posts, “Space – Between Future and Past,” “Relational Space,” and “Collapse of the Wave Function.” Regular readers of my blog may be wondering about my last post “Futurist Interpretation of Quantum Mechanics,” which was about my new interpretation of quantum mechanics. This is not a physics blog, however; the Quantum Torah blog is about Torah and physics (or, more broadly, Torah and science). What did the last post have to do with Torah? Hopefully, it will all now become clear. Last Shavuot I had a very unusual experience. Sitting in shul listening to the reading [...]

Futurist Interpretation of Quantum Mechanics

(A popular summary of the paper “Towards Futuristic Interpretation of Quantum Mechanics” by Alexander Poltorak being currently prepared for publication) Quantum mechanics (QM) is one of the most successful theories of physics that withstood the test of time. Indeed, it is one of the best-tested theories known to science. Yet, we hardly advanced in our understanding of the meaning of QM since its inception almost a century ago. The indeterministic nature of the theory puts it at odds with both classical physics and our intuition, and continues to perplex physicists and philosophers of science today as it perplexed Einstein, who famously said, “God does not play dice with the universe!” Superposition and entanglement seem to defy common sense and, yet, they have been confirmed experimentally time and again. The phenomenon known as the [...]

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