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Later, Abhinavagupta deepened this conception in his 'Īśvarapratyabhijñā-Vivriti'. He showed that every "appearance" within consciousness is actually a subtle echo of that divine consciousness itself. Consciousness is simultaneously "prakāśa" (illumination) and "vimarśa" (self-awareness)—from the union of these two, the world is born. That is, God does not merely illuminate the world, but also knows himself through himself. Thus the world is the infinite form of his self-manifestation.

From this perspective, the doctrine of appearance is not an impersonal theory of māyā, but rather an intimate philosophy of manifestation. Where Advaita's concept of māyā is negative—"ignorance" or "untruth"—there in the doctrine of appearance māyā is positive—"the power of manifestation." In Abhinavagupta's words, "māyā na tu vibhrānti, prakāśasvabhāvā"—that is, māyā is not an illusion, but the shadow of consciousness's inherent manifestation.

Simply put, the doctrine of appearance teaches—consciousness creates the world in its own light, but never becomes separate from itself. The world is therefore a living reflection of brahmic consciousness—a ceaseless, self-luminous manifestation.

The relationship between the sun and its rays is a primary metaphor in this philosophy. Just as the sun manifests in countless forms through the radiation of its own light—in mirrors, in water, in dust particles—yet the sun's wholeness is never destroyed, so too consciousness extends everywhere through its own appearance (in name and form), yet remains itself unchanging. Therefore the world is not illusion, but the appearance of consciousness.

Contemporary researchers (such as Gianfranco Bertani has shown in his essays) have noted that the concept of "appearance" forms an important connecting line between Kashmir Śaiva Pratyabhijñā and post-Śańkara Advaita philosophy. In modern critical editions and research works—such as Torella's 'Utpaladeva's Īśvarapratyabhijñā Kārikā with Vṛtti', Ratié's 'Hermeneutics of the Self', and Sanderson's various essays—the theory of appearance has been analyzed and explicated as a distinctive philosophy of manifestation.

The doctrine of appearance teaches us—the world is not illusion, but the endless formal development of consciousness's radiance. Just as the world is reflected light, so too every experience is the internal resonance of the light of consciousness. Therefore liberation does not mean the extinction of the world, but recognizing that luminous consciousness in its own form of appearance—where manifestation and the manifested, seer and seen, light and reflection—all remain united in one undivided truth, known by a single name in both Śaiva and Advaita traditions—the supreme consciousness that is of the nature of prakāśa-vimarśa.

Let us say something more about the doctrine of appearance. The term 'doctrine of appearance' comes from "ābhāsa," which means "apparent manifestation," "reflection," "light," "similarity of form," or "semblance of purpose." In Indian philosophy this term signifies "theory of manifestation" or "theory of appearance"—which has been used in both Kashmir Śaiva and Advaita Vedānta traditions, though there are subtle differences in their interpretation and application.

In Kashmir Śaiva philosophy, "doctrine of appearance" is such a theory that explains how Śiva or supreme consciousness brings about the manifestation of this world from his own will-power. Here Śiva is not seen merely as some distant God; he is simultaneously creator, sustainer and destroyer—that is, the consciousness, energy and activity of all creation reside together within him alone. This self-acting power of manifestation is called maheśvaraya or svātantryaśakti, that is, that independent will-power by which the world emerges as manifestation inherent within consciousness.

According to the Kashmir Śaivas, two principal theories have been proposed to understand this process of manifestation—Svātantryavāda (doctrine of freedom) and Ābhāsavāda (doctrine of appearance). Svātantryavāda says—there is no external cause behind world-creation; everything is the result of God's free will. Śiva keeps this world-flow active through his own will-power, just as an artist gives form to countless thoughts from his own creative power.

On the other hand, the doctrine of appearance explains this very svātantryavāda more subtly by saying—the world is not a real transformation, but rather an appearance or reflection of Śiva-consciousness itself. That is, creation means an inherent manifestation within Śiva himself, where he perceives himself in manifold forms. Through this conception the Kashmir Śaivas sought to show—Śiva and the world are not separate; the world is the brilliant reflection of his very consciousness.

The working method of this creative power depends on three fundamental principles—bhedābheda (where both unity and difference are apparently true), the principle of pratyakṣa or experience (where vision and knowledge manifest together) and the principle of cause-effect relationship (which is the fundamental basis of the world's dynamism).

Utpalācārya first gave coherent form to this doctrine of appearance in the Īśvarapratyabhijñā-kārikā, and later Abhinavagupta in his detailed commentary in the 'Īśvarapratyabhijñā-vivriti' said—"the world is actually the appearance of Śiva." That is, Śiva manifests himself in countless forms in the radiance of his own consciousness—yet never becomes separated from his own nature. Thus the doctrine of appearance teaches us—creation is not an external event, but an eternal self-manifestation inherent within consciousness.

The doctrine of appearance accepts this truth that "seeing" or "manifestation" is itself real; it is not some illusion imposed upon Śiva. Rather, Śiva himself is eternally immersed in free, spontaneous creative activity. Nature (prakṛti) or the world is therefore the external projection of Śiva's free will, the reflection of Śiva-consciousness's will-power.

On the other hand, in Advaita Vedānta the doctrine of appearance is used in a somewhat different sense. In Sureśvarācārya's explanation it is known as "ābhāsatattva," whose main point is—the individual soul or jīva is actually an appearance or reflection of brahmic consciousness itself. The jīva has no separate existence; it is the reflection of brahman. According to Śańkarācārya, at the level of consciousness both jīva and īśvara are identical reflections of one indivisible brahman; they are not separate entities. Sureśvara says—jīvas are as real as brahman, because they are manifested as primary appearances through ignorance; but the world or objects are secondary appearances—that is, merely reflections of this primary appearance. Thus whatever reality is apparent within ignorance, from there emerge all forms of the external world and experience.

According to Śańkarācārya, avidyā or māyā is the mutual superimposition of ātman and anātman—the boundary between real and unreal becomes confused. Creation is actually not a new transformation, but a self-manifestation within brahman itself. In the Brahmasūtra (1.4.26) it is said, "creation itself is brahman's self-creation"—brahman manifests everything from itself, but never changes itself.

Thus the doctrine of appearance connects two traditions—Kashmir Śaiva's theory of manifestation and Advaita Vedānta's theory of self-manifestation. In both there is a profound unity: the world is not a dependent illusion; it is a supreme manifestation illuminated in consciousness's own light, where God or brahman is reflected in the manifold appearances of itself.

Particularly within the scope of Kashmir Śaiva philosophy, Ābhāsavāda (doctrine of appearance) is a profound and specific theory of manifestation, where it is said—consciousness manifests itself, that is, supreme consciousness illuminates its own nature in its own light. Here the world is not some external projection, not some illusion or image born of māyā; rather it is the continuous emergence of consciousness's self-experience—the manifestation of consciousness's own inherent self-vision or self-reflection.

This conception is one of the focal points of Kashmir Śaiva Pratyabhijñā philosophy. Utpaladeva in his Īśvarapratyabhijñā-kārikā (1.5.8) says—"cideva ahaṁ svaprakāśaḥ svavimarśanātmā"—that is, "I am that consciousness which manifests itself in its own light and gains experience of itself through self-reflection (self-reflexivity)." Here "ābhāsa" means not merely a flash of light, but the twin unity of manifestation and self-reflection. Consciousness "sees" itself, and from that seeing emerges the world-form.

Abhinavagupta, as commentator on Utpaladeva, consolidated this conception in the Īśvarapratyabhijñā-vivriti and Tantrāloka (1.87-91). He says—if "light (prakāśa)" is the aspect of consciousness, then "vimarśa (reflexive awareness)" is its self-experience. The world is manifested in the inseparable play of these two—where Śiva himself is manifested in manifold forms through his own inward vision. Therefore, the process of creation is not "external projection," but consciousness's inward movement—a self-appearance, which is not merely manifestation, but pratyabhijñā (self-recognition).

In this sense, the doctrine of appearance is established as a distinctive and coherent theory in Kashmir Śaiva philosophy. As clearly mentioned in Wikipedia and Encyclopedia of Indian Philosophies (editor: Karl Potter)—"In Kashmir Śaiva philosophy the doctrine of appearance expresses this view that the entire world is consciousness's self-manifestation (svābhāsā); Śiva manifests himself as the manifold world, but still does not lose his fundamental unity." That is, Śiva-consciousness is never divided or changed—he is reflected in countless forms in his own inherent radiance, and that reflection itself is this world.

In Advaita Vedānta the mirror and face are separate—the world reflected in consciousness is taken as an erroneous reflection. But from the perspective of Kashmir Śaiva doctrine of appearance, mirror and face are one, not separate. Consciousness itself is the mirror, itself the face, itself the reflection. Seeing the face means seeing oneself—herein lies the true meaning of "ābhāsa." Śiva or supreme consciousness is being reflected in his own infinite forms—just as one radiant sun is reflected in countless waters showing itself in thousands of colors, yet the sun never loses its unity.

According to the Kashmir Śaivas, consciousness or Śiva has two principal powers—Prakāśa and Vimarśa. Prakāśa means luminous being, and vimarśa means self-conscious reflection. These two together are the progenitors of "ābhāsa"—from which the world arises. Śiva is not some creator deity, but consciousness's inward power of reflection; therefore it is said—"viśvaṁ śivābhāsam"—the world is Śiva's appearance.

Just as when we think, the mind itself assumes the form of thought—no external instrument is needed. "I know" or "I am thinking"—this awareness is itself self-reflection. Similarly, Śiva-consciousness creates the world by manifesting itself in its own thought-forms (imaginative power, creative power, will-power).

The doctrine of appearance teaches us—the world is not an external world; it is consciousness's own reflected awareness. When Śiva or consciousness perceives itself within itself, then that self-appearance of his appears as "world." Therefore, the world is not something different from Śiva—it is Śiva's self-reflecting radiance, his own endless reflection, where seer and seen, knowledge and knower, manifestation and reflection—all merge in the infinite play of singular consciousness.

9. Anirvacanīya-khyātivāda (doctrine of the indescribable) is the mature form of Advaita Vedānta's "theory of appearance"—a philosophical attempt that seeks to explain that the world is neither completely real (true), nor completely unreal (false), but rather "indescribable," that is, unknown or beyond description. It is neither eternally true like brahman, nor completely void; as long as the world exists at the level of experience, it is effective (vyāvahārika satya), but at the level of knowledge-determination (brahman-knowledge) it dissolves.

The fundamental basis of this theory is Śańkarācārya's "adhyāsabhāṣya"—in the introductory section of the Brahmasūtrabhāṣya, where he says, "smṛtirūpo'yamadhyāsaḥ"—that is, "this adhyāsa (superimposition) is of the nature of memory." Due to ignorance, the qualities of one object are superimposed upon another object. The examples of rope-snake, oyster-silver, or mirage-water come from here.