Dharma · AI Companion

踰繕那

yojana

古印度计算距离的单位AI-generated

Type PhenomenaDifficulty IntroductoryTruth-level span outside the four-fold two-truths frameworkInitial AI estimate · evolves with use

A Contemporary ReadingAI-generated

What this concept is about

On the surface, 踰繕那 (*yojana*) is simply a unit of length in ancient India — eight 俱盧舍 (*krośa*, "a krośa") make one yojana. But to leave the concept there is like meeting someone and concluding they are "a mammal." True, but not yet illuminating.

In the *Abhidharmakośa* (《阿毘達磨俱舍論》, T1558, Xuanzang's translation), 踰繕那 is never used as a standalone number. It sits at the very top of a carefully constructed, atom-to-cosmos measurement system, and it does several jobs at once: it measures the width of oceans, the height of heaven-stairs, and the body-size of gods. Once you see the system, you see why the *Kośa* bothered to build it.

The scale, from the bottom up. The *Kośa* starts with the 极微 (*paramāṇu*, the smallest conceivable particle of matter) and accumulates by a factor of seven at each of sixteen steps:

七极微 → 一微 → 金尘 → 水尘 → 兔毛尘 → 羊毛尘 → 牛毛尘 → 隙游尘 → 蟣 → 虱 → 穬麦 → 指节 → 三指节为一指 → 二十四指为一肘 → 四肘为一弓(亦名「寻」) → 五百弓为一俱盧舍 → 八俱盧舍为一踰繕那

The progression is so regular and so fine-grained that the text is essentially doing what a modern physicist does when building units: anchor the chain at an atomic scale (the *paramāṇu*), and let every larger unit be a defined multiple. Where modern SI builds up from the Planck length or the size of a hydrogen atom via powers of ten, the *Kośa* builds up from *paramāṇu* via powers of seven. The difference is the constant; the spirit is the same — a refusal to leave measurement to folk intuition.

Then the *Kośa* does something striking: it gives one 俱盧舍 a concrete, lived meaning — "the middle stretch of road from a village to a wilderness hermitage" (从村至阿练若中间道量). It is the distance a person actually walks. So a 踰繕那 is eight such walks, a comfortable two-or-three-hour journey. From there, when the text says an ocean is 322,000 yojanas across or a heavenly being's body is several yojanas tall, the reader has a foothold: a yojana is a day's hike, and now the imagination has somewhere to begin.

Three jobs the yojana does. Once the unit is anchored, the *Kośa* uses it for three distinct cosmological purposes.

1. *Horizontal geography.* The eighth outer sea (第八外海) is said to span 三洛叉二万二千踰繕那, i.e., 322,000 yojanas — three hundred thousand day-hikes across. The 无热池 (Anavatapta lake, near the base of Mount Sumeru) is described as 50 yojanas in each direction: 50 days' walk across, if you were foolish enough to walk on water.

2. *Vertical, between heavens.* The text notes that calculating every inter-heaven distance individually would be tedious, so it gives a shortcut: any heaven's distance *down* to the great ocean equals its distance *up* to the next heaven. Thus Mount Sumeru's fourth level — seat of the 四大王众天 (*Cāturmahārājika*, the lowest heaven — is 40,000 yojanas above the sea, and the next heaven (三十三天, *Trāyastriṃśa*) is another 40,000 yojanas above that, and so on up through the form-realm heavens to 色究竟天 (*Akaniṣṭha*) and beyond. The yojana here is doing the work a yardstick would do for a carpenter: it gives the height of the cosmic staircase.

3. *Body sizes of form-realm beings.* This is the most philosophically loaded use. The *Kośa* tells us that human bodies are measured in 肘 (cubits), desire-realm divine bodies in 俱盧舍, and form-realm divine bodies in 踰繕那. The unit ascends with the depth of meditation: the higher the dhyāna, the larger the body, the larger the unit. The text even gives the sequence — the first four form-realm heavens each add roughly half a yojana to body height, then heights *double-double* (倍倍增长) up through the form realm, with one curious exception (无云天, the Cloudless Heaven, is described as *three yojanas shorter* than the doubling would predict).

Why build the system at all? The *Kośa* is the great analytical handbook of the Sarvāstivāda school — its project is to take every phenomenon of experience and disassemble it into its smallest analysable parts (法, *dharmas*), in order to refute the illusion of a unified self. The yojana-and-below scale is the *Kośa*'s way of being thorough about *form* (色, *rūpa*) — that one of the five aggregates. If form is to be analyzed, it must be *measured*. And if it must be measured, the measurement must start at the atomic and end at the cosmic, with no gaps. A universe built on this ladder of seven is a universe the analyst can completely take apart.

So the yojana, on the *Kośa*'s own terms, is not really "a unit of distance." It is a tool for the dissolution of scale-attachment. The smallest dust speck and the largest sea are *both* composite, *both* conditioned, *both* impermanent. The unit that lets you measure both at once is a unit designed to break the spell.

Walking it through contemporary life

Pulling a measure of an ancient Indian ocean into a Tuesday morning is admittedly odd. But the *structure* of the system — anchored at the bottom, scaled upward, applied differently at different magnitudes — maps surprisingly well onto how modern people actually navigate scale. Walk through it.

Scenario 1 — A researcher at a microscope, then at a telescope. You spend your morning tracking a single protein folding at the nanometer scale, then your evening reading about a galaxy cluster 300 million light-years away. The tools, units, and intuitions you use at each end are *totally different* — but the underlying entities (matter, energy, space) are continuous. You have a measurement ladder in your head, anchored at the Planck scale and stretching to the observable universe. The *Kośa* is doing the same move: anchor at 极微, stretch to 踰繕那. The discontinuous *experience* of scale (atoms feel nothing like oceans) is bridged by the continuous *measurement*. That bridge is what the *Kośa* is constructing.

Scenario 2 — A driver reading a map at three scales. Switch your phone from city navigation (street-level, in meters) to country navigation (in kilometers) to flight-booking (in thousands of kilometers). The map app doesn't bother you with the inconsistency; it gives you *the right unit for the right scale*. So does the *Kośa*: 肘 for the body in front of you, 俱盧舍 for a desire-realm god's body (a being driven by appetite), 踰繕那 for a form-realm god's body (a being dissolved in deep meditative absorption). The unit changes because what is being *measured* is not just "size" — it is *the scale at which a being's consciousness naturally operates*. People who are present in their bodies can be measured in cubits; people lost in everyday desire, like small-town scale; people dissolved in deep absorption, like a continent. (This is, of course, a *map*, not a scientific claim — the *Kośa* is not asserting that meditators physically grow taller.)

Scenario 3 — The moment you realize your "small" problem is one of millions of the same problem. A common modern experience: you sit with a personal worry for an hour, then read the news and realize your exact worry is being lived by eight million people simultaneously, in a hundred languages. Your "yojana-scale" of self-importance drops, not because the problem shrinks, but because the *scale of context* shifts. This is roughly the contemplative use the *Kośa* is building toward. The yojana is meant to be picked up and turned inward: "I am not even one finger-joint of this universe." In Tibetan and East Asian Buddhist contemplation traditions, similar moves are made with the 32-part body meditation, but in a *cosmic* direction. The yojana-scale cosmos is the outer version of the same practice: shrink the ego by enlarging the frame.

Scenario 4 — The assembly line of perception. When you watch a movie, you experience the actors as full-sized humans, but the pixels on the screen are sub-millimeter. The film doesn't bother to *explain* this leap in scale to you — your perception handles it automatically. Now imagine the *Kośa* asking: what if you became conscious of every step of that assembly? 极微, 微, 金尘, 水尘 … all the way to 踰繕那. The 16 steps of ×7 are like the 16 levels of zoom you would need to go from "a single pixel" to "the whole story on the screen." In a sense, the *Kośa* is offering to make you *legible* to yourself at every level of zoom. That is the deeper purpose of measurement: not numbers, but *self-knowledge at scale*.

A place where moderns commonly map wrong: do not treat the yojana as a *psychological* or *subjective* scale (like "I feel like I walked a yojana today"). It is not metaphor. It is a strict defined multiple of a defined multiple of …, all the way down to 极微. The subjective feeling of a long day is not what the *Kośa* means. And do not collapse the three jobs of the unit (geography / vertical cosmic distance / divine body-size) into one. They use the same number because they are on the same scale-system, not because they describe the same kind of thing.

Why contemporary people need it

Even readers who never meditate and never visit a Buddhist cosmology lecture can benefit from sitting with the yojana for a moment, because the *Kośa*'s measurement system is a remarkably clean example of a much larger intellectual move: building a unit of measure that crosses scales without losing precision.

Modern physics has done this with the SI system (Planck units at the bottom, cosmological units at the top, with consistent conversion factors throughout). Modern biology has done this with the cell-to-organism ladder. Modern ecology has done this with the gene-to-biosphere ladder. In each case, the *intellectual achievement* is the same: refuse to leave any scale of reality unmeasured, refuse to let "small" and "large" be incommensurable. The *Kośa* did this — in the early common era, in India, without a microscope or a telescope — for everything from dust-mote to ocean-wide. That is a stunning early entry in the history of systematic natural philosophy.

More importantly for liberation-cultivation, the yojana-and-its-system serves three contemplative purposes:

1. Disenchantment with size. When your hand can be measured in cubits, your street in krośas, and the heavens in yojanas, *you* are not at the center of the size hierarchy. The being who has dissolved into the deepest dhyāna has a body measured in yojanas — and the universe itself has a body in *lakṣas* of yojanas. Where, in this hierarchy, does "I" sit? The system politely suggests: not at the top.

2. The atomic humility of the cosmos. The 16-step ×7 ladder means that the largest cosmic structures are *built out of* 极微. There is no "stuff of heaven" different in kind from the stuff of your hand. Everything material is the same kind of composite. This is a structural way of stating 缘起 (*pratītyasamutpāda*, dependent origination): the large depends on the small, and the small depends on the large, and nothing has independent being.

3. A shared yardstick between self and cosmos. Because the same unit (the yojana) measures both the cosmic heights and the body-sizes of the highest beings, the *Kośa* is implicitly saying: your body and the universe are *on the same measurement system*. They are commensurable. This is the *opposite* of a mystification move — it does not say "the cosmos is beyond you," it says "the cosmos is the same kind of stuff as you, just scaled up." This is a deeply unromantic, very Abhidharma, very Sarvāstivāda insight: there is no metaphysical gap between you and the universe; there is only a *scale* gap.

A note on contemporary parallels: I am *not* claiming that physics has confirmed Buddhist cosmology, nor that the *Kośa* anticipated quantum field theory. The *Kośa*'s ×7 ladder is an abstract analytical construction, not an empirical measurement program. What is genuinely comparable is the *method* — anchoring measurement at the smallest unit, building up systematically, refusing to leave scale-gaps. That method is alive in modern science, and the *Kośa* should be credited as one of its earliest sophisticated expressions.

Common misreadings and clarifications

Misreading 1: "Yojana is just a road distance, roughly 7–13 km." This is the popular paraphrase. It is not wrong as a rough equivalence, but it badly understates what the unit is doing in the *Kośa*. The yojana is *one term in a 16-step measurement system anchored at 极微*. Calling it "about 10 km" is like calling a genome "about a long string." True but misses the structure. In T1558 specifically, the text goes out of its way to *not* leave the unit as a folk measurement — it ties it back to the 俱盧舍, the 弓, the 肘, the 指节, and eventually the 极微. Take that anchor seriously, and the yojana stops being "a road distance" and becomes "the top of an atom-to-cosmos ladder."

**Misreading 2: "Since *Kośa* uses 踰繕那 and other texts use 由旬, they must be different units."** No. 踰繕那 is Xuanzang's (T1558) transliteration of the Sanskrit *yojana*; 由旬 (and less commonly 由延 or 踰闍那) are earlier or alternative Chinese renderings of the same word. In T1558 specifically, the text "consistently uses 踰繕那" — other translations of the *Kośa* or other sūtras may indeed use 由旬, and they refer to the same unit. So if you encounter 由旬 in, say, a passage from the Lotus Sūtra describing the great 化城喻 ("a magic city conjured partway along a long journey of many 由旬"), you are reading the same measure, just in a different translation. The *Kośa*'s choice of 踰繕那 does not change what the unit is; it only marks it as Xuanzang's rendering.

**Misreading 3: "The yojana measures *distance* only."** The *Kośa* uses it for three distinct purposes: horizontal geography (sea widths, lake widths), vertical cosmology (inter-heaven distances), and form-realm body sizes. It is a unit of *spatial extent in general*, not specifically of road. Treating it as a road unit is a holdover from its etymological connection to journeying (the *yojana* in Sanskrit originally connotes "a day's drive"), but the *Kośa* has already abstracted it past that.

Misreading 4: "Since form-realm gods have yojana-sized bodies, they must be physical giants, like mythological titans." The *Kośa* is describing *the body-size appropriate to the depth of meditative absorption*. Form-realm gods are beings who have re-arisen in the highest dhyānas; their bodies are described in yojanas because the *scale* of their consciousness is appropriate to that magnitude. This is not a biology claim, and it is not a request that you picture an actual yojana-tall humanoid. It is a contemplative cartography: here is where such a being, if it were embodied at the scale appropriate to its consciousness, would sit on the ladder of size. Take it as a *map of meditative scale*, not as a zoology.

**Misreading 5: "All the numbers in the *Kośa* must add up cleanly to some modern unit."** Modern popularizers sometimes try to convert "322,000 yojanas for the outer sea" into "roughly 3.2 million km" and present that as a Buddhist estimate of Earth's diameter. This is a category error. The *Kośa*'s numbers are *internal to the system*, anchored at 极微 and built up by ×7; they are not meant to be slotted into a modern astronomical grid. The *Kośa* is not offering a measurement of our planet; it is offering a self-consistent cosmological description of the world as the Sarvāstivādians analyzed it. Use the numbers within the system; do not convert them out of it.

**Misreading 6: "The yojana is a *time* unit too, because of phrases like 'a yojana's journey takes a day.'"** No. The *Kośa* is explicit: 踰繕那 belongs to space and form (量 — the measurement of *spatial extent*), and time is measured by a *separate* set of units: 剎那 (*kṣaṇa*, the smallest moment), 昼夜 (day-night), 月 (month), 年 (year), etc. The fact that walking a yojana takes a day is *incidental* — it tells you the rough speed of a traveler, not that yojana secretly means "a day." Time and space get *different* unit systems in the *Kośa* on purpose.


A small closing thought. The yojana is the kind of concept that looks dull from far away — "oh, just a unit of distance" — and quietly profound from up close. It is the top of a 16-step ladder that anchors measurement at the atomic and stretches to the cosmic, and the *Kośa* uses it to do three different jobs (geography, vertical cosmology, divine body-size) on a single coherent scale. Once you see the system, you see that the *Kośa* is doing something remarkable: it is *refusing to let scale be mystical*. Every phenomenon, from dust to ocean to god-body to heaven-height, sits on the same ladder. There is no "spiritual stuff" up there and "ordinary stuff" down here. There is just measurement, all the way down to 极微 and all the way up to 322,000 yojanas, on one continuous chain.

That refusal — that insistence on a single, complete, gapless measurement system from atom to cosmos — is, perhaps, the quietest and most Abhidharma-like move in the whole text. The yojana is its visible tip.

Canonical EntryAI-generated

一、定义与核心要义

踰繕那(yojana)是《阿毘達磨俱舍論》(《阿毘達磨俱舍論》)中统一使用的长度单位,其基本定义为「八俱盧舍為一踰繕那」。该单位被置于一套由极微逐级七倍累积而成的长度体系顶端,是论中衡量极大空间距离的标准量度。

二、主要阐述

量度体系的建立

踰繕那并非孤立单位,而是从最小量「极微」层层递进所得。其换算次第为:七极微为一微,此后每一级皆由前一级七倍累积,依次形成金尘、水尘、兔毛尘、羊毛尘、牛毛尘、隙游尘、蟣、虱、穬麦与指节;三指节为一指,二十四指横布为一肘,四肘竖积为一弓(亦称「寻」),五百弓为一俱盧舍,八俱盧舍合为一踰繕那。论中又以「从村至阿练若中间道量」说明一俱盧舍所表示的实际道路距离,使抽象换算落实为可行走的空间经验。

器世间的地理尺度

踰繕那首先用于描述器世间的山川海域。山间八海中,第八外海的广量说为「三洛叉二万二千踰繕那」,显示该单位可计量极广的海域范围;北方九黑山、雪山与香醉山以内的无热池,则说纵广各五十踰繕那,表明同一单位亦可表示池域的纵横尺度。

诸天上下相距的空间秩序

踰繕那又用于建立诸天之间的垂直距离。论中说明各处之间的踰繕那数不易逐一计算,故总举其向下距离,并以向上距离与之相等为例:妙高山第四层级至下方大海为四万踰繕那,此处是四大王众天本所住处;由此上至三十三天,距离亦同。三十三天至下方大海有多远,上至夜摩天亦同;如此类推,乃至善见天向下至大海的踰繕那量,与其向上至色究竟天的距离相等。

色界有情的身量

除器世间外,踰繕那还用于色界有情的身量计量。颂文以「色天踰繕那」概括其计量方式,并说最初四级依次各增半踰繕那,此上则倍倍增长,唯无云天减少三踰繕那。与此相对,人身以肘计,欲界诸天以俱盧舍计,形成依对象而分别采用肘、俱盧舍与踰繕那三种量度的表达格局。

在论述结构中的定位

在《俱舍論》的论述结构中,踰繕那等单位先用于说明器世间与身量差别,随后才转入剎那、昼夜、月、年等时间和寿量的讨论。因此论中明确将踰繕那归入空间与形体之「量」,与后文的时间量区别开来。

三、不同部类与译本的表述差异

就本小结所涉材料而言,《阿毘達磨俱舍論》(毘曇部·《阿毘達磨俱舍論》)统一使用「踰繕那」这一译名,相关原文未见改用「由旬」「由延」「踰闍那」等其他译法。

四、与相关概念的关系

- 俱盧舍:踰繕那的直接下级单位,八俱盧舍为一踰繕那;俱盧舍本身以五百弓定义,并以「从村至阿练若中间道量」作实际说明。 - 极微:量度体系的最小起点,经七倍逐级累积最终得出踰繕那,体现从不可分微尘到宏观距离的完整建构。 - 肘、指节:用于人身的较小量度单位,与欲界天所用俱盧舍、色界天所用踰繕那形成三级对应。 - 剎那、昼夜、年等时间量:论中在空间量度之后另立时间量度,踰繕那明确属于前者而非后者。

五、代表性原文引用

- 「八俱盧舍為一踰繕那。」 - 「色天踰繕那。」 - 「从村至阿练若中间道量。」(释一俱盧舍) - 第八外海广量「三洛叉二万二千踰繕那」。 - 无热池「纵广各五十踰繕那」。 - 妙高山第四层级至下方大海「四万踰繕那」,为四大王众天本所住处。

By SutraAI-generated

阿毘達磨俱舍論T1558 · 毘曇部

《阿毘達磨俱舍論》對「踰繕那」此一古印度距離單位有以下幾方面的論述:

一、換算體系。論以「說八俱盧舍為一踰繕那」明定踰繕那與俱盧舍之比。其完整序列為:二十四指橫布為肘,竪積四肘為弓(弓即尋),竪積五百弓為一俱盧舍,俱盧舍之量為「從村至阿練若中間道量」,八俱盧舍合成一踰繕那。更微細之層面,論以極微為色之初極少,由此遞進為金塵、水塵、兔毛塵、羊毛塵、牛毛塵、隙遊塵、蟣、虱、穬麥、指節,「後後皆七倍增」,至指節後接續指、肘、弓、俱盧舍、踰繕那之進位。論中將踰繕那之成立置於三極少量(色極少、名極少、時極少)之後、年等量之前,屬於「前二量」中色量之環節。

二、用於器世間結構之測量。論以踰繕那記述山海格局:第八海外「三洛叉二萬二千踰繕那」;北洲無熱池「縱廣五十踰繕那」;又用以計算妙高山第四層級去下大海四萬踰繕那之距離,並以此例推諸天層:從第四天王天本處上去三十三天,其量等於三十三天去下海之量;夜摩天上去之量等於三十三天去下海之量,如是乃至善見天去下海量即色究竟天上去之量,從此向上無復所居。

三、用於身量差別之衡量。論云「如是已約踰繕那等辯器世間身量差別」,即以此單位量度天人身高:南贍部洲人身高三肘半至四肘,東、西、北洲人依次倍倍遞增;欲界天以俱盧舍為基本單位,色界天則以踰繕那為基本單位,其進位為「初四增半半,此上增倍倍,唯無雲減三」——初四天各遞增半半,其上諸天倍倍遞增,唯無雲天獨減三。

四、術語形式。本論專用「踰繕那」一詞,未見其他異譯(如由旬);其上位單位稱「俱盧舍」,下位以「弓」「尋」「肘」「指」等人身部位為天然尺度,並以「極微」系為更下之微細量。

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