What Remains When the Coordinates Disappear?

What remains of orientation when coordinates are no longer sufficient? This interdisciplinary research note develops a question arising within ψ-Architecture™: what is the minimum difference that must remain for distinct histories — and distinct possible futures — not to collapse into indistinguishability? The work introduces the problem through the formal language of future-equivalence, future-null information, the minimal retentive state \mathcal H_R=\mathcal H/N_\infty, and a filtration of distinguishability. These constructions are placed in conceptual continuity with earlier work on retentive architecture for navigation without coordinates. The formal argument is accompanied by Retentive Lantern, a visual research translation exploring the same question through light, boundary, orientation, and retained difference. The visual work is explicitly not presented as experimental evidence for the mathematical framework; rather, it functions as an interdisciplinary translation of the underlying research question. The resulting work occupies the boundary between mathematical formalization, conceptual navigation, and visual research: not asking how completely a system can reconstruct its world, but how much it may lose before different futures cease to remain distinguishable.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-18
DOI
https://doi.org/10.5281/zenodo.22002529
Primary Topic
Spatial Cognition and Navigation
Type
article
Field-Weighted Citation Impact
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article

What Remains When the Coordinates Disappear?

Logacheva Yulia
Zenodo (CERN European Organization for Nuclear Research)
Spatial Cognition and Navigation
article

What Remains When the Coordinates Disappear?

Logacheva Yulia
article en

Abstract

What remains of orientation when coordinates are no longer sufficient? This interdisciplinary research note develops a question arising within ψ-Architecture™: what is the minimum difference that must remain for distinct histories — and distinct possible futures — not to collapse into indistinguishability? The work introduces the problem through the formal language of future-equivalence, future-null information, the minimal retentive state \mathcal H_R=\mathcal H/N_\infty, and a filtration of distinguishability. These constructions are placed in conceptual continuity with earlier work on retentive architecture for navigation without coordinates. The formal argument is accompanied by Retentive Lantern, a visual research translation exploring the same question through light, boundary, orientation, and retained difference. The visual work is explicitly not presented as experimental evidence for the mathematical framework; rather, it functions as an interdisciplinary translation of the underlying research question. The resulting work occupies the boundary between mathematical formalization, conceptual navigation, and visual research: not asking how completely a system can reconstruct its world, but how much it may lose before different futures cease to remain distinguishable.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 17%
Spatial Cognition and Navigation
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What Remains When the Coordinates Disappear? — Logacheva Yulia · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS