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This work aims to propose a universal reflexive domain using one distinction, addressing its compatibility with quantum mechanics.

June 14, 2026Open Access

The Theory of Everything: D∞ from ⊥, ⊤

Key Points

This work aims to propose a universal reflexive domain using one distinction, addressing its compatibility with quantum mechanics.
Proposes the universal reflexive domain D∞ via Scott's construction as a zero-parameter theory.
Summarizes advancements from subsequent papers regarding the compatibility of the construction with quantum mechanics.
Introduces the equation D ≅ [D, D] in a symmetric monoidal closed category.
Identifies incompatibility of the cartesian construction with quantum mechanics (no-cloning concept).
Clarifies {⊥, ⊤} as the foundational elements of classical theory within the proposed framework.

Abstract

The Theory of Everything: D∞ from ⊥, ⊤. Proposes the universal reflexive domain D∞, built from one distinction via Scott's construction, as a zero-parameter theory of everything. v1. 1 (12 June 2026): the original 12 April 2026 text is preserved unchanged. A new Section 8 (Subsequent Advancements) has been added, summarising how Papers 13–15 advanced and partially corrected this proposal — in particular, that the cartesian construction used here is incompatible with quantum mechanics (no-cloning), and was lifted to the root equation D ≅ D, D in a symmetric monoidal closed category, with ⊥, ⊤ understood as the seed of the classical lineage. Independent research, AI-collaborative, not peer-reviewed. Verify what catches your eye; challenge what you doubt.

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