Aesthetic Topology as Pre-Symbolic Readout

Anchor paper: Dmitruk et al., Art's hidden topology: A window into human perception, PLOS Computational Biology 22(5): e1014156, 2026.

Review status: Program publication; external review not yet completed.

Abstract

This research note reads Dmitruk et al.'s PLOS Computational Biology paper on persistent homology, gaze, EEG, and abstract art as a guarded external readout surface for Book VII's categorical aesthetics. It does not claim that topology measures beauty or that the external paper validates Category τ. Instead, it builds a typed bridge from image-filtration descriptors to possible pre-symbolic motif readout, while making the lossy measurement chain, caveats, and falsification surfaces explicit.

Art's hidden topology: A window into human perception

The anchor paper uses persistent homology to analyze multi-scale visual structure in abstract images, distinguish art and pseudo-art image sets, and compare topological feature maps with gaze-fixation heat maps, aesthetic reports, and EEG/connectivity data.

Relation to this note: Used as a guarded empirical-computational readout surface for Book VII aesthetics, not as proof that topology measures beauty, not as validation of Category τ, and not as proof of artist intent.

Core Claim

Dmitruk et al.'s persistent-homology study of abstract art provides a promising empirical descriptor family for possible pre-symbolic motif readout, if and only if each step in the chain from image to Book VII interpretation remains typed, lossy, and inspectable.

What This Note Does Not Claim

• It does not claim that persistent homology measures beauty.
• It does not claim that Dmitruk et al. prove or validate Category τ.
• It does not claim that image-filtration topology is Book VII topology.
• It does not claim that gaze equals experience.
• It does not claim that the Alexander-duality residual is a golden-ratio or ιτ bridge.

Falsification and Challenge Surface

• Independent reproduction fails to recover the reported image-topology descriptors or gaze/topology comparisons.
• Color-aware topology, controlled synthesis, saliency baselines, or curatorial controls explain away the Book VII-facing bridge value.
• Preregistered Category-τ-facing mappings from image descriptors to motif quantities fail under external review or future empirical testing.

Reading Note

The PDF contains the full argument. This web page records the public metadata, claim boundary, external anchor-paper context, verification posture, and related site surfaces for the citable Research Note artifact.

How to Read the Note

Read it as a guarded bridge note. The external paper is important because it gives a concrete empirical-computational surface where visual structure, gaze, aesthetic report, and EEG data meet. The Panta Rhei contribution is not a new empirical result. It is a typed bridge protocol that keeps the chain from image to Book VII interpretation explicit:

image -> filtration descriptor -> feature map -> viewer trace -> Book VII interpretation

Every arrow in that chain is lossy. The release-candidate note makes those losses inspectable instead of smoothing them away.

Key Contributions

• It reconstructs the Dmitruk et al. paper in its own terms before translating it into Panta Rhei language.
• It separates image-filtration topology from Book VII categorical aesthetics.
• It introduces a descriptor ledger for image source, grayscale projection, BW/WB filtrations, homology summaries, feature maps, gaze comparison, human reports, EEG, and the Book VII bridge.
• It connects the case to VII.D44, VII.D46, VII.D47, VII.T19, VII.P11, and VII.R21 without collapsing those Registry anchors into empirical proof claims.
• It turns the bridge into future falsification and calibration surfaces, including color-aware topology, controlled synthesis, saliency baselines, independent reproduction, curatorial controls, and preregistered Category-τ maps.

External Source Routes

• Anchor paper DOI
• PLOS article
• OSF data route
• Image-analysis code

The release-candidate note records OSF/code reproduction as a future test surface. It does not reproduce the external paper’s computational pipeline.