Tag Archives: Cosmology

Mind-Blowing Gematriot

In this week’s parasha, Ha’azinu, Moses cautions the people in his final song to carefully fulfil “all the words of this Torah, for it is not an empty thing for you” (Deuteronomy 32:46-47). The Ba’al HaTurim (Rabbi Yakov ben Asher, 1269-1343) comments here that, on a deeper level, the words “for it is not an empty thing for you” are referring to gematriot, the numerical calculations and mathematical codes embedded in the Torah, that emanate from the divinity and precision of the Hebrew language. The general public often disparages gematria as being unreal or artificial in some way, a soup where anyone can find anything they are looking for. This couldn’t be further from the truth. While some have certainly abused gematria in unnatural ways, there is a legitimate foundation and system to it. Continue reading

Torah on the Big Bang and the Age of the Universe

The Torah begins with Beresheet, the famous account of Creation.  In recent times, many have questioned the validity of this narrative in light of the findings of modern science. In reality, the Torah’s account is quite accurate in scientific terms, and the Jewish tradition described the origins of the universe and its age with stunning precision centuries before modern science caught up.

According to Science

The current scientific model holds that 13.7 billion years ago, the entire universe was compacted into a super tiny point with infinite density. For some unknown reason, this point suddenly burst in a massively vast and rapid expansion of energy and radiation. As the early universe cooled and expanded, particles began to form, and then whole atoms, starting with hydrogen. Hydrogen atoms fused into helium atoms, and later on heavy elements formed from further fusion in the cores of stars and their explosions. Everything that we see today—the entire universe and all matter within it—emerged from that initial expansion, “the Big Bang”.

The evidence for a Big Bang is extensive. In fact, you can see some of it when you look at the “snow” on an old television that is not tuned to any channel. The antenna is picking up some of the cosmic microwave background radiation, the “afterglow” of the Big Bang. The entire universe is still glowing from that initial expansion! Popular physicist Brian Greene writes in his bestselling The Hidden Reality (pg. 43):

…if you were to shut off the sun, remove the other stars from the Milky Way, and even sweep away the most distant galaxies, space would not be black. To the human eye it would appear black, but if you could see radiation in the microwave part of the spectrum, then every which way you turned, you’d see a uniform glow. It’s origin? The origin.

The universe is glowing, it’s just that most people cannot see it because human eyes perceive only a very narrow part of the electromagnetic spectrum, which we call “visible light”. Light of a higher energy and frequency includes dangerous x-rays and gamma rays, while light of lower energy and frequency includes microwaves and radio waves. The seeming blackness of the universe is actually radiating with light—we simply cannot see it. Incredibly, this is precisely what the Torah states.

The electromagnetic spectrum. Visible light makes up just a tiny sliver of the spectrum. Some living organisms can see in UV or infrared wavelengths.

Zohar haRakia

We read in the Tanakh (Daniel 12:3) that “they who are wise shall shine as bright as the rakia…” The Torah tells us that God established a rakia (wrongly translated as “firmament”) on the second day of Creation, and this is where all the stars and planets are suspended (Genesis 1:15). The Talmud (Chagigah 12a), composed over 1500 years ago, further elaborates that above the earth is the vilon, the atmosphere that stretches over the planet, and beyond the vilon is the rakia, a vast expanse within which are all the stars. Beyond the rakia is a region called shechakim, the interface between the physical and spiritual realms, and further still are the highest levels of the Heavens, inhabited by angels and transcendental beings. From this, and other ancient sources, it is clear that rakia refers to outer space.

Daniel tells us that the wise will shine like the rakia, and goes on to state that “they who turn the many to righteousness [shall shine] as the stars”. We can understand how people might shine bright like stars, but why would Daniel say the rakia is shining? Outer space is totally dark! Of course, as Brian Greene described, today we know that the universe is indeed glowing.

One of the most ancient Jewish mystical texts is Sefer HaBahir. According to tradition, it dates back some two thousand years, and was first published at least seven hundred years ago. This book gets its name from another verse in the Tanakh (Job 37:21), which states “And now, men do not see the light that is bright [bahir] in the skies.” Once again, Scripture tells us that the universe is glowing with a bright light that humans are unable to perceive. Science has found that this glow comes from the Big Bang, and this too is accurately described by the most famous of Jewish mystical texts, the Zohar.

Cosmic Microwave Background Radiation, the glow of the universe, discovered in the 1960s by Robert Wilson and Jewish physicist Arno Penzias.

The Secret of Beresheet and the Big Bang

Like Sefer HaBahir, the Zohar was first published around seven hundred years ago, with its teachings dating back two millennia. The Zohar is a parasha-by-parasha commentary on the Torah, and naturally begins with the first section in describing Creation. The book gets its name from the above verse in Daniel which speaks of Zohar haRakia, the glow of the universe. It elaborates (I, 2a, 15a):

בְּשַׁעְתָּא דִּסְתִימָא דְכָל סְתִימִין בָּעָא לְאִתְגַּלְּיָא, עֲבַד בְּרֵישָׁא נְקוּדָה חֲדָא, וְדָא סָלֵיק לְמֶהֱוֵי מַחֲשָׁבָה. צַיֵּיר בָּהּ כָּל צִיּוּרִין חָקַק בָּהּ כָּל גְּלִיפִין… וְרָזָא דָא, בְּרֵאשִׁית בָּרָא אֱלֹהִים. זֹהַר, דְּמִנֵּיהּ כָּלְהוֹ מַאֲמָרוֹת אִתְבְּרִיאוּ בְּרָזָא דְאִתְפַּשְׁטוּתָא דִנְקוּדָה דְּזֹהַר סְתִים דָּא

When the Most Concealed One [God] began to create, He first made a singular point, with which he then brought forth all thought, drew all blueprints, and carved out all things… And the secret of “In the beginning, God created…” [Genesis 1:1] is radiance [zohar], from which all Utterances were created, in the secret of the expansion of that point of radiance.

Many centuries ago, the Zohar accurately and elegantly sums up the findings of modern science. God first created a tiny singular point which burst forth in light, and from which He “carved out” all things in existence. All of God’s Utterances (since the Torah says God created by speaking: “And God said ‘Let there be light.’”) came forth from the expansion of that initial primordial radiance.

Time is Relative

All that remains is the seeming contradiction in time. Science estimates 13.7 billion years, while the Torah speaks of six days. Of course, the nature of a “day” in the account of Creation is flexible, considering there was no Earth, sun, or moon until the third and fourth days (so how could there be a 24 hour day as we know it before this?) There were also no humans at this point, and the Torah describes Creation from the perspective of God, for whom “a thousand years is like one passing day” (Psalms 90:4). The fact that time runs differently for man and God actually highlights another scientific principle, as revealed by Albert Einstein.

Einstein’s theory of relativity holds that the passing of time varies depending on an entity’s speed. A person who could board a spaceship and fly near light-speed would experience very slow time. A few days for this person would be equivalent to many years on Earth. (This theme has been explored in countless science fiction books and films, including 2014’s Interstellar.) The Lubavitcher Rebbe often cited this fact to conclude that arguing about apparent space-time contradictions is therefore quite pointless. Meanwhile, physicist Gerald Schroeder has mathematically calculated that six days could be equivalent to 13.7 billion years when factoring in the universe’s expansion. After all, we are looking back in time at an ancient universe through human eyes, while God was looking forward in time from the universe’s first moments.

An infographic explaining the relativity of time. Note the conclusion: “there is no meaning to the concept of absolute time.” The whole debate of 6 days vs 13.7 billion years is therefore quite meaningless.

Physicist and Rabbi Aryeh Kaplan explored this issue extensively and cites multiple ancient Jewish texts that support the notion of a very ancient universe (see his book Kabbalah and the Age of the Universe). In multiple places, the Midrash states that before creating this world, God was creating and destroying many previous worlds (see, for example, Kohelet Rabbah 3:14), while the Talmud calculates that “there were 974 generations before Adam” (Chagigah 13b, Shabbat 88a).

On this last point, it has been shown that a generation according to the Torah is forty years (Numbers 32:13), and as we saw, a day for God is likened to 1000 human years (Psalms 90:4), therefore:

            974 generations × 40 years/generation × 365 days/year × 1000 human years/divine day =

14.2 billion years

Compared to the current best estimate of science at 13.7 billion years, it is amazing that one can come to a very similar number by simply putting together a few Torah verses.

What we see from all of the above is that ancient Jewish texts describe the universe’s origins in absolutely perfect detail. And it is only in recent decades that science has finally caught up. In many other ways, too, science has a lot of catching up to do.


The above is an excerpt adapted from Garments of Light: 70 Illuminating Essays on the Weekly Torah Portion and Holidays. Click here to get the book! 

Are There Really Just Four Non-Kosher Animals With One Sign?

This week’s parasha is Shemini, “eighth”, referring to the eighth day of the Mishkan’s inauguration ceremony. On this day, the sons of Aaron, Nadav and Avihu, brought an unsanctioned incense offering, and perished because of it. The Torah goes on to describe various sacrificial and priestly laws before going into the rules for kosher food.

When it comes to land animals, those that have split hooves and chew cud are kosher. Animals that do not have both signs are not kosher. The Torah then goes on to give four examples of animals that have one of the signs, but not the other: the camel chews cud, but does not have a completely split hoof; the pig has a split hoof, but does not chew cud; and the shafan and arnevet (unknown species often described as rabbits, hyraxes, or badgers), who chew cud but do not have split hooves.

The Torah uses these as examples of non-kosher animals that were present in Israel and surrounding regions in those days; animals that were familiar to the Israelites. The Torah does not state anywhere that these must be the only four non-kosher animals in the entire world that possess one sign, and not the other. Yet, somehow it became popular for Torah lecturers, particularly in the world of kiruv (Jewish outreach), to suggest that thousands of years ago, the Torah predicted there are only four such animals in the whole world, and to this day, no other animals have been found that only offer one sign. While ancient Jewish literature has plenty of amazing foresight into scientific matters – which may be used to show people its deep wisdom and divinity – this particular argument is highly flawed. The truth is, there are other animals that have one of the two signs, and not the other. Let’s take a look at a few examples.

Hippos & Llamas

A famous problem was the case of the hippopotamus. A hippo has the same foot structure as a pig, and like a pig, does not chew its cud. (While it is herbivorous, eating mostly grass and aquatic plants, hippos have been noted to even eat meat on occasion.) A hippopotamus is thus a perfect example of another animal that has split hooves but does not strictly chew cud.

Hippo and Pig Hooves

Hippo and Pig Hooves

Despite this, people will still go out of their way to insist that the Torah’s four animals must be the only four. Some even suggest that the hippopotamus must really just be another type of pig! Of course, hippos are no more pigs than they are cows, or any other animal. In fact, today scientists know that hippos are most closely related to whales (and DNA analysis confirms this).

On the other side of the spectrum are the animals that chew cud but do not have fully-split hooves. The llama and alpaca are good examples. Once again, there are those that will insist these must be just another type of camel – even though they have wool, and no humps, are commonly used for their meat, and were once thought to be closer to sheep.

Huacaya Alpaca

Huacaya Alpaca

Some might argue that since camels and llamas are officially grouped by scientists in the same family of ‘camelids’, they can be thought of as being basically the same. In reality, a zoological ‘family’ could be a vast group with very different species. For example, donkeys and horses are in the same family, yet no one in Biblical times (or today) would consider them “the same”. In fact, a donkey has a totally different status in Judaism than a horse, and a firstborn donkey is required to be redeemed in Jewish law. No rabbi would permit a horse to be redeemed in place of a donkey!

Camelids: Bactrian Camel, Llama, and Vicuana

Camelids: Bactrian Camel, Llama, and the deer-looking Vicuna

Truth in Kiruv

At the end of the day, the debate over the four animals listed in the Torah matters very little. The Torah does not claim these are the only four animals, so there is no need to make that conclusion. The problem is when people do make that conclusion, then use it as a proof to convince others of the divinity of Judaism. Those victims might be convinced initially, then go on to do their own research and discover that the “proof” was actually false, which may then serve to push them away from Judaism altogether.

Besides, there are many more solid arguments from ancient Jewish literature that can be used instead. Here are a couple of much better ones:

בְּשַׁעְתָּא דִּסְתִימָא דְכָל סְתִימִין בָּעָא לְאִתְגַּלְּיָא, עֲבַד בְּרֵישָׁא נְקוּדָה חֲדָא, וְדָא סָלֵיק לְמֶהֱוֵי מַחֲשָׁבָה. צַיֵּיר בָּהּ כָּל צִיּוּרִין חָקַק בָּהּ כָּל גְּלִיפִין… וְרָזָא דָא, בְּרֵאשִׁית בָּרָא אֱלֹהִים. זֹהַר, דְּמִנֵּיהּ כָּלְהוֹ מַאֲמָרוֹת אִתְבְּרִיאוּ בְּרָזָא דְאִתְפַּשְׁטוּתָא דִנְקוּדָה דְּזֹהַר סְתִים דָּא

זוהר חלק א (בראשית) דף ב/א, טו/א

“When God began to create, He first made a singular point, with which he then formed all formations, and carved out all things… And the secret of ‘In the beginning, God created…’ [Genesis 1:1] is radiance [zohar], from which all Utterances were created, in the secret of the expansion of the point of radiance.”

The Zohar, a mystical commentary on the Torah first published in the 13th century (based on much older teachings) describes that creation began from a singular point of radiation that expanded to give rise to all things. This is precisely what science tells us today with the Singularity that spawned the Big Bang, and the cosmic expansion and cooling that followed, giving rise to all matter. (See ‘Torah on the Big Bang and the Age of the Universe’ here for more.)

The Zohar also tells us:

דהא כל ישובא מתגלגלא בעגולא ככדור, אלין לתתא, ואלין לעילא, וכל אינון בריין משניין בחזוויהו משנויא דאוירא, כפום כל אתר ואתר

זוהר חלק ג (ויקרא) דף י/א

“… The entire planet is rotating in a circle like a ball. There are people below, and people above, all different in appearance due to the different atmospheres of each land.”

At least seven centuries ago, the Zohar already taught that the Earth is spherical, and more significantly, that it is rotating (which scientists only confirmed in the 19th century – see Foucault’s 1852 pendulum experiment). The Zohar also states that despite the Earth’s spherical nature, people live above and below, without falling off the planet, and that people living in different lands have different features because of different environmental conditions, hinting at biological adaptation.

Credit: Dailygalaxy.com

Credit: Dailygalaxy.com