Does the Hanuman Chalisa give the distance to the sun?

A piece of arithmetic has been travelling for years now, and it is still travelling. It says that a single line of the Hanuman Chalisa, a devotional poem written in Awadhi in the sixteenth century for people who could not read Sanskrit, contains the distance from the earth to the sun, accurate to within a few per cent, three centuries before anyone measured it.

It is a wonderful thing to believe. It is also not true, and the way it is not true is more interesting than the claim.

The line

Verse eighteen of the forty:

juga sahasra jojana para bhanu, lilyo tahi madhura phala janu

The sun, a yuga-thousand yojanas away, you swallowed, taking it for a sweet fruit.

Where the story comes from

Tulsidas is not inventing. He is compressing into one line a story his listeners already knew.

In Valmiki’s Ramayana, the infant Hanuman wakes hungry, sees the sun rising red over the horizon, takes it for ripe fruit, and leaps. Indra strikes him out of the sky with the vajra, the thunderbolt, and the blow breaks the child’s jaw. The Sanskrit for jaw is hanu, and the tradition has long heard the god’s name in that injury. Vayu, his father and the wind itself, withdraws in grief and takes the breath of the world with him, until the gods relent and crowd around the child with gifts, each granting a boon, until he is very nearly unkillable.

There is an older cousin to the story in a Jain text, the eighth-century Dhurtakhyana, where the child is burned to ashes by the sun’s heat and reassembled by the gods afterwards, one fragment of jawbone missing.

Every version is about the same thing. A baby so strong and so innocent that the sun looked edible.

The arithmetic

The claim reads the line as a sum. Take yuga to mean 12,000. Take sahasra to mean 1,000, which it does. Multiply: 12,000,000 yojanas. Fix a yojana at about eight miles and you get 96,000,000 miles, against a true mean distance of about 92,956,000. Three per cent out. People gasp, and it is easy to see why.

Three things go wrong, and they go wrong in increasing order of seriousness.

First: the 12,000 is not a yuga

The number comes from the reckoning of the ages. Counted in divine years, the four yugas run 4,800, 3,600, 2,400 and 1,200, in the fixed ratio of four to three to two to one, each with its twilights before and after. The Manusmriti sets it out at 1.69-71, the Vishnu Purana gives the same at I.3, and the astronomical Surya Siddhanta agrees.

Add those four figures and you get 12,000.

But that total is the caturyuga, the whole turning of all four ages. It is not a yuga. A yuga is one of the four, and no single one of them is twelve thousand of anything. The calculation opens by taking a word that means one age and quietly assigning it the value of four.

There is no reading of the tradition’s own texts on which juga in that line equals twelve thousand.

Second: the yojana will be whatever you need it to be

The yojana has no fixed length. This is not a modern complaint; it is what the sources themselves show.

The Arthashastra implies about 12.8 kilometres. Definitions across the wider corpus range from roughly 3.5 to 15. Alexander Cunningham, working in 1871 by comparison with Chinese units, arrived at 10.8 to 13.2. The fourteenth-century astronomer Parameshvara used about 13. Richard Thompson, in 1997, derived 8.0 by dividing the earth’s diameter by the yojana circumferences given in the Surya Siddhanta and the Aryabhatiya.

Run the sum at each and watch what happens.

The claim works at one end of the range and fails badly at the other. The popular version uses eight miles, which is 12.87 kilometres, which is very nearly the Arthashastra figure. That is the value you have to choose for the answer to arrive.

Choosing the input that produces the output you wanted is the whole of the trick. It is not a measurement. It is a fit.

And the epic’s own numbers are round

There is a harder version of this objection, and it comes from inside the tradition.

The Mahabharata, at Bhishma Parva 6.12.40-45, gives the heavens dimensions in yojanas. The moon is eleven thousand yojanas across, it says, and thirty-three thousand around. The sun is ten thousand across.

Eleven thousand and thirty-three thousand. That is a circle whose circumference is exactly three times its diameter. The epic is working with pi equal to 3, which is a scribe’s round number and not a measurement of anything.

Dipak Jadhav, examining those verses in 2018, found that the figures given there imply yojana lengths anywhere from 0.316 kilometres to 139.14, depending on which body you calibrate against. The text does not agree with itself within six verses.

This is the part worth sitting with. The claim asks us to believe that a poet in the sixteenth century, writing in a village dialect, encoded a measurement to within three per cent, using a unit whose own scriptural sources cannot agree within a factor of four hundred.

Third: it is not a measurement at all

Set aside both problems and something more basic remains. The sum multiplies a unit of time by a unit of distance.

A yuga is an age of the world. A yojana is a span of ground. “A yuga-thousand yojanas” is the same kind of phrase as “an age away” or “a world away” in English. It is how poets in every language say very far indeed, and the vastness is the point rather than the quantity.

Nobody reading “I would walk a thousand miles” reaches for a map.

What the line is doing instead

The Chalisa is forty-three verses long, two opening couplets and forty chaupais and a closing couplet, written in the language people actually spoke, by a poet who wanted a farmer to be able to carry it. Whatever else it is, it is not a technical document, and Tulsidas was not encrypting anything.

Verse eighteen sits in a run of verses praising Hanuman’s strength, and the lines on either side of it are doing the same work. The sun is in it because the sun is the largest thing a child could reach for, and the fruit is in it because a baby reaches for fruit. Read it as astronomy and the image dies. Read it as an image and it is one of the loveliest things in the poem.

Why it matters that we say so

There is a habit of defending the tradition by finding modern science hidden inside it, as though the texts needed a physics licence to be worth reading. The habit is well meant and it costs more than it earns. It makes the tradition’s worth conditional on a coincidence, and coincidences do not survive examination.

The Chalisa has been recited for four centuries by people in fear, at bedsides, before journeys, on Tuesdays and Saturdays, because it is short and steady and addressed to the one figure almost everyone trusts without reservation. That is a real and enormous thing. It does not become more real if a sum works out, and it does not become less real when the sum does not.

The near-match is charming. It is also numerology, arrived at by choosing the numbers that make it work.

The poem is astonishing enough as what it is.