Web search unavailable, but the provided materials from the *Abhidharmakośa* (俱舍論, T1558) are comprehensive. I'll write the interpretation directly from these sources.
相應因 (Saṃprayukta-hetu): The Cause of Co-respondence
What This Concept Is About
Imagine you raise your eyes and see a red maple leaf against an autumn sky. In that single instant, something is *seeing* (the eye-consciousness, 眼識), something is *feeling* the pleasant tone of the color (受, vedanā), something is *recognizing* "red, maple, leaf" (想, saṃjñā), something is *reaching toward* or *lingering on* the image (思, cetanā), and a dozen other mental functions are all operating at once. None of them is "you watching from inside." They are a cluster — and the Abhidharma wants to know: what holds this cluster together? What is the *causal glue* that makes these functions not merely simultaneous but genuinely *one event*?
The answer, in the *Abhidharmakośa* (俱舍論), is 相應因 — the "co-respondence cause," the fourth of the six causes (六因, ṣaḍ-hetu). Its defining verse is terse:
相應因決定,心心所同依。 "The co-respondence cause is fixed: mind and mental factors share one basis."
And the prose commentary is blunter still:
唯心心所是相應因。 "Only mind (citta, 心王) and mental factors (caitta, 心所) are the co-respondence cause."
That sentence draws a hard boundary. Physical matter (色法, rūpa) — your neurons, your retina, the photons — does not enter this causal relation. Abstract conditionings that are neither mind nor matter (心不相應行法, citta-viprayukta-saṃskāra) — time, number, linguistic convention — do not enter either. 相應因 is *exclusively* the mutual causality among the mental: the mind-king and its retinue of mental factors, causing each other *by the very fact of being one coordinated event*.
The Five Equalities (五義平等)
What makes a cluster of mental functions genuinely "one event" rather than a coincidence? The *Kośa* answers with five criteria that must all be satisfied simultaneously:
五義平等故說相應,所依所緣行相時事皆平等故。
1. 所依平等 — Same basis (āśraya). The eye-consciousness leans on *this* eye-faculty at *this* instant; the feeling, recognition, and volition arising with it lean on that very same eye-faculty, not on the ear or the mind-faculty. "此中同言顯所依一" — the word "same" here means the basis is numerically one.
2. 所緣平等 — Same object (ālambana). They all take the same object. If one function is directed at the red leaf and another at a memory of yesterday's argument, they are not in the same co-respondence cluster.
3. 行相平等 — Same aspect (ākāra). They apprehend the object under the same mode of presentation. This is subtler than "same object": two people can look at the same painting, one under the aspect of beauty, another under the aspect of market value. Within one mind-moment, all co-responding factors must share the aspectual shape of the cognition.
4. 時平等 — Same time (kāla). Not merely "around the same period" but the same indivisible instant (剎那, kṣaṇa). A feeling that lags one moment behind the recognition is not co-responding with it.
5. 事平等 — Same substance (dravya). In one co-respondence cluster there is exactly *one* mind-king and exactly *one instance* of each mental factor. You cannot have two feelings in one cluster, or two mind-kings. "一相應中心體唯一、諸心所法各各亦爾" — the mind is one, and each mental factor is one.
The commentary then shows how the single word "同依" (same basis) in the verse is a compressed *refutation* of all possible counterexamples. Different object? Not co-responding. Same object but different time? Not co-responding. Same object and time but different basis (your eye-consciousness and my eye-consciousness looking at the same thing)? Not co-responding. The word "same basis" sweeps all these away at once.
The Relationship to 俱有因 (Sahabhū-hetu, Co-existent Cause)
This is where the *Kośa* performs a delicate surgical distinction:
相應因體即俱有因。 "The substance of the co-respondence cause *is* the co-existent cause."
Same stuff, different angle. The commentary's metaphor is the famous 商侶 (merchant caravan) image:
- 俱有因 is like merchants depending on one another to cross a dangerous road together — the emphasis is on *mutual causation*: each is a cause of the others' survival and function (互為果義). This relation extends to *all* conditioned phenomena: the four great elements mutually support each other, a flame and its heat co-exist as mutual causes, and so on.
- 相應因 is like those same merchants not merely traveling together but *sharing the same meal, performing the same tasks, sleeping in the same camp* — the emphasis is on *five-fold equality of coordinated activity* (五平等共相應義). "其中闕一皆不相應" — miss even one of the five equalities and the co-respondence breaks.
So: 俱有因 is broad (all conditioned dharmas), 相應因 is narrow (mind and mental factors only) and strict (five conditions, not one). They overlap perfectly in the mental domain — every instance of 相應因 is also an instance of 俱有因 — but 俱有因 extends far beyond.
The Structural Foundation: Mind and Mental Factors Necessarily Arise Together
Before establishing the six causes, the *Kośa* lays down a prior axiom:
心心所必俱,諸行相或得。 "Mind and mental factors necessarily arise together; the various aspects may or may not be attained."
This is not an empirical observation but a structural law of the Abhidharma ontology: there is no bare consciousness without feeling, without recognition, without volition. And there is no feeling floating free of a consciousness to feel it. They are *necessarily* co-arising. 相應因 names the causal relation that this necessary togetherness instantiates at every single moment.
The *Kośa* further notes, citing the *Jñānaprasthāna* (發智論), that 相應因 is "無時非因" — there is no moment when it is not functioning as a cause. As long as mind and mental factors co-arise (which is always, for any sentient being), 相應因 is in effect. It never takes a break.
Where It Sits in the Architecture of Causation
The six causes (六因) and four conditions (四緣) are two complementary causal taxonomies in the *Kośa*. The commentary is careful: "因緣二門各有分齊而不相濫" — the "cause" gate and the "condition" gate each have their boundaries and do not bleed into each other. 相應因 belongs to the cause gate. In the condition gate, the corresponding framework is 所緣緣 (ālambana-pratyaya, object-condition), which "攝一切法望心心所" — all dharmas can serve as object-condition *for* mind and mental factors. The cause is internal to the mental cluster; the condition reaches outward to everything that can be cognized.
This placement matters. 相應因 is not about what the mind *encounters*; it is about what the mind *is*, structurally, at every instant — a coordinated causal field, not a solitary spectator.
A Walkthrough in Everyday Life (生活里的走查)
Let's trace 相應因 through a scene so ordinary it's invisible: you're on the subway, scrolling your phone, and a friend's post makes you feel a small sting of envy.
The instant of contact. Your eye-consciousness (眼識) arises leaning on the eye-faculty (所依: the physical eye and its neural pathway at this instant). The object (所緣) is the image on the screen — your friend's vacation photo. The aspect (行相) under which it's apprehended: "a life I don't have." The time (時) is this single kṣaṇa — not the memory of last week's post, not the anticipation of your own future trip. And the substance (事) is one: one eye-consciousness, one feeling-tone, one act of recognition, one volitional response, each singular.
All five equalities are satisfied. The feeling of envy (受 + specific mental factors like 嫉, īrṣyā in the Abhidharma list) is not "added to" the seeing from outside. It is *co-responding* with the seeing — same basis, same object, same aspect, same instant, same singularity. The envy *is* part of what this cognitive event is. 相應因 names the causal bond that makes them one event rather than two things happening to coincide.
Where people mis-map it. The most common error: "I *saw* the photo, and *then* I *felt* envious." This sequential narrative — first pure perception, then emotional reaction — is exactly what 相應因 denies. The *Kośa* says 心心所必俱: mind and mental factors *necessarily* arise together. There was never a moment of "pure seeing" that was subsequently contaminated by envy. The envy was in the seeing from the first kṣaṇa, because the aspect (行相) under which the object was grasped already carried the evaluative shape. You didn't see neutrally and then judge; you saw *as* "lacking."
A second scene: the Zoom call where you're "paying attention." Your ear-consciousness (耳識) arises with the colleague's voice as object. But simultaneously, a thread of mental consciousness (意識) is running a parallel narrative: "This meeting could have been an email." Are these two streams in a 相應因 relation? *No.* They fail 所緣平等 (different objects: voice vs. meta-commentary) and arguably 所依平等 (ear-faculty vs. mind-faculty). They are two distinct cognitive events happening in rapid alternation, not one co-responding cluster. The Abhidharma is precise here: the feeling of boredom you have *about the voice* is co-responding with the hearing; the daydream about lunch is not.
A third scene: flow state in deep work. You're coding, and for twenty minutes there is no sense of a separate "you" watching the work. In Abhidharma terms, what's notable is not that mental factors are absent — they can never be absent (心心所必俱) — but that the cluster is *tightly* co-responding: one object (the problem), one aspect (solution-shape), one basis (mind-faculty), one time (each successive kṣaṇa), one substance per factor. The "self-sense" (我執, ātma-grāha), when it arises, is itself a mental factor *within* a co-respondence cluster — it doesn't stand outside the cluster observing it. In flow, that particular factor is simply not prominently active. The causal glue (相應因) is still operating; the cluster is still one event; it's just that the factor of self-referential grasping has gone quiet.
The mis-mapping to watch for in all three scenes: treating 相應因 as if it described a *relationship between a subject and its experiences*. It does not. There is no subject standing behind the cluster, "having" the co-respondence. The co-respondence *is* the event. The mind-king (心王) is not a little homunculus directing the mental factors; it is one member of the cluster, causally interdependent with the rest. "心心所名義雖殊而體是一" — mind and mental factors differ in name and function but are one in substance. The causal relation is *internal* to the event, not between an agent and its properties.
Why Contemporary People Need This Concept
1. It dismantles the "pure perception + optional emotion" model that dominates self-help culture.
Contemporary wellness discourse constantly implies a two-step architecture: first you perceive reality, then you *add* an emotional reaction, and the therapeutic work is to remove the addition. "You're not your thoughts." "Observe the emotion without judgment." These can be useful *practices*, but as *ontology* they misdescribe what's happening. The *Kośa*'s 相應因 says: the emotion is not an add-on. It is co-responding — same basis, same object, same aspect, same instant. You cannot peel it off and find a pristine perception underneath, because there is no such layer. What you *can* do — and this is where the soteriology kicks in — is alter the conditions so that a *different* cluster arises next moment, with a different aspect (行相). The work is not subtraction; it is transformation of the entire co-responding field.
2. It offers a structural account of why "just deciding to feel differently" fails.
If mental factors were loosely attached to consciousness, a strong enough decision should be able to swap them out. But 相應因 tells you they are bound by five simultaneous equalities. You cannot change the feeling (受) while keeping the same basis, the same object, the same aspect, the same temporal structure — because they are *one event*, mutually causing each other. To change the feeling, you must change the *aspect* (行相) — how the object is presented to the cluster — or change the *basis* (shift from ruminative mind-consciousness to bodily awareness, for instance). This is, structurally, what many contemplative techniques actually do: they don't argue with the emotion; they shift the āśraya or the ākāra, and the entire co-responding cluster reorganizes.
3. It resonates with — but is not proven by — contemporary cognitive science.
Neuroscience increasingly describes cognition as "embodied," "enactive," "affective" — perception is not a neutral registration followed by emotional coloring; affect is *in* the perceptual act. Predictive processing models describe perception as already shaped by prior expectations (which sound remarkably like 行相, the "aspect" under which an object is grasped). This is a genuine structural resonance.
But the limitation must be stated: neuroscience describes correlation and mechanism at the neural level; the Abhidharma describes a *formal causal structure* at the level of experiential events (dharmas). They operate at different explanatory levels with different ontological commitments. The *Kośa* is not making an empirical claim about neurons; it is making a phenomenological-ontological claim about the structure of any possible conscious event. The resonance is illuminating; it is not a proof in either direction. And neuroscience has not resolved — perhaps cannot resolve from within its framework — whether the "binding problem" (how distributed neural processes become one unified experience) has the same formal shape as the five-equality problem. The parallel is suggestive, not conclusive.
4. It locates the concept within the path to liberation.
Why does the *Kośa* bother with this level of precision? Because the entire Abhidharma project is soteriological: to see the structure of experience clearly enough that clinging (upādāna, 取) loses its grip. If you believe there is a stable "I" behind experience, watching and choosing, you will cling to that "I" and its preferences. 相應因 shows you that what you call "my experience" is a causally interdependent cluster, arising and dissolving each kṣaṇa, with no external director. The mind-king is not a king; it is one node in a mutual-causation network. This is the Abhidharma's contribution to the broader Buddhist insight of anātman (無我): not a philosophical denial of the self, but a *structural demonstration* that when you look for the self in the actual architecture of experience, you find only co-responding factors, "名義雖殊而體是一" — different names, one substance, no owner.
The *Heart Sūtra* (《心經》) compresses this entire Abhidharma architecture into one line: "照見五蘊皆空" — "contemplated and saw that the five aggregates are all empty." 相應因 is part of the analytical machinery that makes that contemplation possible: it shows you *how* the aggregates hold together (mutual causation, five equalities) so that when you look for a self *within* that structure, you find none. The emptiness is not a negation of the structure; it is the discovery that the structure has no proprietor.
Common Misreadings and Clarifications
Misreading 1: "相應因 means mind and mental factors are the same thing."
No. "名義雖殊而體是一" — they differ in name and function (名義殊) while being one in substance (體一). The feeling (受) is genuinely different in function from the recognition (想); the volition (思) is genuinely different from contact (觸). 相應因 does not collapse them into undifferentiated oneness. It says they are *one event* — like the color, shape, and texture of a single apple are genuinely distinct aspects but not three apples. The five equalities are precisely what allow distinction-within-unity: same event, different functional roles.
Misreading 2: "相應因 is just simultaneity — things happening at the same time."
Simultaneity (時平等) is *one* of five conditions, and by itself it is not sufficient. Two people in different cities seeing the same sunset at the same instant share object and time but not basis (異身) — they are not in a 相應因 relation. Two mental events in the same person, one moment apart, sharing the same object, fail the time condition. The commentary's layered refutation (層層遮詮) exists precisely to show that 相應因 is *not* reducible to any single condition; it is the five-fold constraint taken together.
Misreading 3: "相應因 and 俱有因 are two different causal mechanisms."
They are not two mechanisms. "相應因體即俱有因" — the substance is identical. They are two *descriptions* of the same reality, emphasizing different features. 俱有因 emphasizes mutual causation (互為果): A causes B and B causes A. 相應因 emphasizes coordinated equality (五平等共相應): A and B share basis, object, aspect, time, substance. The merchant metaphor makes this vivid: the same group of merchants can be described as "mutually protecting each other on a dangerous road" (俱有因) or as "sharing meals and labor in perfect coordination" (相應因). It's the same caravan; the lens differs. The practical upshot: 俱有因 is broad (any mutually co-causing conditioned dharmas), 相應因 is narrow (only the mental, only under five equalities).
Misreading 4: "This is a theory about how the brain binds information."
It is tempting to read 相應因 as a pre-modern anticipation of the neural binding problem. The resonance is real (see above), but the identification is a category error. The *Kośa* is not doing empirical neuroscience. It is doing what we might call *formal phenomenology*: specifying the necessary structural conditions for any conscious event to be *one* event. Its evidence is contemplative analysis of experience, not experimental measurement. Its goal is not prediction and control of neural processes but liberation from misapprehension of experience's structure. To collapse it into a brain-science hypothesis is to lose both its precision and its soteriological point.
Misreading 5: "If mind and mental factors are mutually causing, there's no room for freedom or practice."
This is the determinism worry, and it misunderstands the temporal structure. 相應因 operates *within* a single kṣaṇa — it describes the internal causal structure of one moment of experience. It does not say that the *next* moment is determined by this one. Between moments, other causal relations take over: 同類因 (sabhāga-hetu, homogeneous cause) governs the resemblance between successive moments; 遍行因 (sarvatraga-hetu, pervasive cause) governs how afflictive mental factors propagate; 異熟因 (vipāka-hetu, maturation cause) governs karmic ripening across longer spans. Practice works at *these* junctures: by introducing new conditions (a different object of attention, a different aspect, a different basis through meditation posture and setting), you alter what cluster arises next. 相應因 tells you the *internal* structure of each moment; it does not lock the sequence of moments into fate.
Misreading 6: "相應因 means my thoughts and feelings should always be in harmony."
"相應" here is a technical term meaning "co-responding" or "coordinated in the five equalities." It does *not* mean "emotionally harmonious" or "psychologically integrated." A moment of rage is perfectly 相應: the consciousness, the angry feeling, the hostile recognition, the aggressive volition all share one basis, one object, one aspect (the object-as-provocation), one time, one substance. The cluster is flawlessly coordinated — and it is a moment of affliction (kleśa, 煩惱). Co-respondence is a structural fact, not a value judgment. The path is not about making the cluster "harmonious"; it is about seeing the cluster's structure clearly enough that the afflictive factors (kleśa-caitta) lose their footing and wholesome factors (kuśala-caitta) come to predominate — and eventually, in the Arhat's final moment, the entire conditioned cluster ceases.
*A closing note on the concept's texture.* 相應因 is not a concept you "apply" to life from the outside. It is a concept you *recognize* in life once it has been pointed out. Every experience you have ever had has been a five-equality co-responding cluster. You have never once encountered a bare consciousness without feeling, or a feeling without an object, or an object apprehended under no aspect whatsoever. The *Kośa* is not telling you something new; it is giving you the structural vocabulary for what was always already the case — and in doing so, it makes the invisible architecture of experience available to inspection. And inspection, in the Buddhist path, is the beginning of freedom: not freedom *from* experience, but freedom from the delusion that experience has an owner. "心心所必俱" — mind and its factors arise together, always, necessarily. The question was never whether they would. The question was always: do you see *how*?