The Zero Axiom in Sattvavajaya Psychology: 0 as Brahman, Atman, Turiya, and Pure Consciousness

This article develops the foundational axiom of Sattvavajaya psychology:

Psyche in its normal state = 0.

The central aim of the work is to axiomatize the symbol “0” and to provide it with rigorous ontological and psychological content. Within the framework of Sattvavajaya, 0 is identified with pure consciousness and systematically interpreted as Brahman, Atman, Turiya and Chaitanya, while being explicitly translated into the conceptual language of Western philosophy of mind and psychology (consciousness, psyche in its normal state, subject of experience).

The paper proceeds in three main steps:

1. Phenomenological-epistemological level:
   Through the classical story of King Janaka and the sage Ashtavakra, 0 is shown as the unchanging Witness of both waking and dream states. This narrative is used as a precise epistemic tool to distinguish between the contents of experience (mental states, roles, worlds) and the field of pure consciousness in which they arise.

2. Structural level (Mandukya and Katha Upanishads):
   The Mandukya Upanishad is read as an early “general theory of states of the psyche,” describing four modes of one and the same consciousness (jagrat, svapna, sushupti, Turiya). Turiya is interpreted as 0 — the background of all states. The chariot metaphor from the Katha Upanishad is then reinterpreted as a hierarchical model of the psyche (Atman–buddhi–manas–senses–objects), which is formally mapped onto the Sattvavajaya model 0, A, X.

3. Formal-mathematical level:
   A simple axiomatic scheme is introduced, where 0 denotes pure consciousness (normal psyche), A denotes the set of overlays and contents (adhyasa: vasanas, raga–dvesha, roles, narratives), and X = 0 + A denotes the empirical or “false” self formed by identification with A. The paper proposes an interpretation of jagrat, svapna and sushupti as different configurations of A on the background of 0, and sketches a two-dimensional coordinate model where the axes are associated with vasanas and raga–dvesha. Within this framework, operations such as Apavada(X) -> 0 are understood as formal descriptions of de-identification and return to the normal state of the psyche.

The article argues that explicitly introducing 0 as the axiomatic “space of the psyche” is a necessary condition for turning psychology into an exact science, comparable in the degree of formalization to physics but deeper with respect to the subject of experience. Since the “material” world of waking (jagrat) can be rigorously modeled mathematically and is structurally indistinguishable from the contents of dream (svapna), it follows that the psyche itself is in principle amenable to mathematical treatment. This is possible precisely when the carrier space of all psychic phenomena — pure consciousness (0) — is taken as an explicit axiom.

The work is intended as a self-contained theoretical block that fills the axiom

Psyche in its normal state = 0

with concrete meaning and formal structure, preparing the ground for further development of a full axiomatic and mathematical model of Sattvavajaya psychology and its applications in psychotherapy and artificial intelligence.