What question did this study set out to answer?

This research aims to prove that Sandhi is a fundamental causal state that cannot be confined to binary logic.

April 22, 2026Open Access

Sandhi: Proof of Necessity as a Primitive Causal State Beyond Binary Logic

Key Points

This research aims to prove that Sandhi is a fundamental causal state that cannot be confined to binary logic.
Utilized six formal definitions and an impossibility lemma to illustrate concepts.
Employed a theorem by contradiction to reinforce findings.
Analyzed the implications of causal decision systems with irreversible commitment.
Demonstrated that binary logic cannot encapsulate irreversible commitment.
Established that the stopping boundary is a necessity that lies beyond binary frameworks.
Proved bidirectional implications during both activation and cessation states.

Abstract

This paper proves that Sandhi — the primitive causal state of irreversible commitment without realization, situated between inaction (0) and full outcome (1) — is not a modelling choice. It is a mathematical necessity. Through six formal definitions, an impossibility lemma, and a theorem by contradiction, we demonstrate that any causal decision system exhibiting irreversible commitment cannot derive its stopping boundary from within a binary framework — because the binary state space is structurally blind to what is already there. The proof holds bidirectionally: during activation (0 → S → 1) and cessation (1 → S → 0). Part of the Sandhi Framework Series. Foundational paper: DOI: 10.5281/zenodo.19665865

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Cite This Study

Uthraa Murali (Mon,) studied this question.

synapsesocial.com/papers/69e867356e0dea528ddeb771 https://doi.org/https://doi.org/10.5281/zenodo.19665977

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