claim

active

claim:the-three-mathematical-lenses-converge-on-a-single-unifying-concept-the-dissolution-of-the-reference-frame

The three mathematical lenses converge on a single unifying concept: the dissolution of the reference frame.

The paper's central thesis integrating category theory, information geometry, and differential geometry.

Source paper

extracted_from

A Mathematical Elucidation of Buddhist Enlightenment

(2026) · Susumu Inui

Neighborhood — ranked by edge-count

Papers (1)

paper

A Mathematical Elucidation of Buddhist Enlightenment
mentions

Hypotheses (1)

hypothesis

The static structural description could be extended to dynamic models of practice, e.g. formalising dissolution of the reference frame as a topological phase transition.
extends
Future Direction 1, proposing dynamic/temporal extension of the static formal elucidation.

Concepts (1)

concept

Dissolution of the Reference Frame
about
The paper's central unifying concept: transparent recognition that the organizing framework of experience is a framework, not reality itself.

Claims (6)

claim

Enlightenment is the transition to a state in which identification with the ego-centric coordinate system φp0 is dissolved, enabling direct description of the intrinsic geometry of (M,g).
supports
Proposition 4.4, differential-geometric elucidation of enlightenment.
Enlightenment is not Dkl(P‖Q)=0 but the release of identification with Q itself, recognizing the model as a model.
supports
Proposition 4.3, information-geometric elucidation of enlightenment as release rather than optimization.
The conflation of description with reality — misidentifying hᴬ with Δs, Q with P, φp0 with M — is the common structure of avidyā across all three lenses.
supports
Integration claim identifying a shared structure of ignorance across the three formal lenses.
Under the Dependent Origination Axiom, no object in the phenomenal category possesses svabhāva (its representable functor is never isomorphic to a constant functor).
supports
Proposition 4.1, category-theoretic elucidation of śūnyatā.
Under the Dependent Origination Axiom, the phenomenal category P has no terminal object.
supports
Proposition 4.2, category-theoretic elucidation of anātman.
Enlightenment is the structural transformation of cognition arising when the reference frames organising experience are transparently recognised as reference frames.
supports
The paper's proposed one-sentence unified description of enlightenment.

Questions (1)

question

How does transparent recognition arise?
gates
Open question noting the elucidation describes the state of realization but not the dynamic process leading there.

Related by similarity (8)

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The 'dissolution of the reference frame' framework may be applied to comparative studies with Heidegger, Wittgenstein, and Nishida Kitarō.hypothesis0.780
Future Direction 3, proposing comparative-philosophy extensions of the unifying concept.
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Central thesis statement of the abstract.
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Key principle about images vs. unfolding.
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Key limitation of the PRH for non-bijective observations
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Third central claim: biology and computer science are converging into a unified science of embodied computation
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In the Medlock house visioning, a sequence of four spatial beads felt more profound than three.finding0.736
Introspective finding from Christopher Alexander's design session.