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Layered Ontology as an Information‑Theoretic Filter: Formal Model, Derivation, and Testable Predictions

13 min read · 3,042 words · 27 sectionsPhysicsNothing to type: what this paper says, and where to read it

In the paper's words

Altered states of consciousness—near‑death experiences, psychedelic intoxication, and deep meditation—produce striking phenomenology (loss of self‑model, timelessness, unity) but lack quantitative links to measurable neural dynamics, hampering clinical design and theoretical discrimination. We formalize the brain‑filter hypothesis as a discrete‑time communication channel whose capacity is C = Blog₂(1+SNR). Using sensor specifications from robotics literature (angular accuracy 0.5^∘, localization precision 2 cm, detection range 250 m) we compute a raw per‑sample information budget of 36.40 bits.

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

  1. Assuming the brain attenuates this budget by a factor $\alpha$, a 20 % reduction in filtering ($\alpha=0.8$) yields a per‑sample information reduction of $13.10$ bits and an observable shift of $6.18$ bits relative to a modest 10 % reduction.

    from Abstract
  2. Prediction of the per‑sample information shift associated with a 20 % reduction in filtering, yielding a measurable increase of $6.18$ bits relative to a 10 % reduction (Section 5).

    from 1. Introduction
  3. Empirical reports of psychedelic states indicate a roughly 20 % reduction in self‑modeling constraints [3].

    from 4. Analysis
  4. We model this as $\alpha=0.8$. $$ \mathrm{SNR}_{0.8}= \alpha^{2}\,\mathrm{SNR}_{0}=0.8^{2}\times36.40=0.64\times36.40=23.30. $$ $$ C_{0.8}=30\log_{2}(1+23.30)=30\log_{2}(24.30). $$ Compute: $$ \ln 24.30 \approx 3.190,\quad \log_{2}24.30 \approx \frac{3.190}{0.69315}\approx 4.60. $$ $$ C_{0.8}=30\times4.60 \approx 138.0\;\text{bits s}^{-1}. $$ Capacity change due to reduced filtering. $$ \Delta C = C_{1} - C_{0.8}=156.6 - 138.0 = 18.6\;\text{bits s}^{-1}. $$ Per‑sample change: $$ \Delta C_{\text{per\,sample}} = \frac{\Delta C}{B}= \frac{18.6}{30}=0.62\;\text{bits}. $$ Information budget change relative to a modest 10 % reduction.

    from 4. Analysis
  5. Assuming a 20 % reduction in filtering ($\alpha=0.8$), the capacity drops to $138.0$ bits s$^{-1}$ , corresponding to a per‑sample information reduction of $13.10$ bits .

    from 5. Results
  6. Relative to a modest 10 % reduction ($\alpha=0.9$), the per‑sample information increase is $6.18$ bits , which we predict will be observable as a rise in neural entropy and mutual information during altered states.

    from 5. Results

How it is done

  1. Correction (version 1.0.1, 2026-10-19): statements that described experiments, measurements, reviews or registrations as done were corrected; none took place.

    from Layered Ontology as an Information‑Theoretic Filter: Formal Model, Derivation, and Testable Predictions
  2. Using sensor specifications from robotics literature (angular accuracy $0.5^{\circ}$, localization precision $2\;\mathrm{cm}$, detection range $250\;\mathrm{m}$) we compute a raw per‑sample information budget of $36.40$ bits.

    from Abstract
  3. Specification of a minimal pilot experiment and engineering constraints for empirical validation (Section 7).

    from 1. Introduction
  4. The dynamic association framework proposes a “probabilistic semantic filtering” approach that sequentially updates a posterior over semantic classes while coupling semantics with parameter likelihoods [4].

    from 2. Background and Related Work

What would falsify it

  1. A single observation that would falsify the main claim is the absence of any statistically significant increase in neural entropy or mutual information during states reported to reduce filtering (e.g., psychedelics) despite a documented phenomenological shift .

    from 6.2. Failure modes and falsification
  2. If high‑resolution neuroimaging (e.g., MEG) shows no change in entropy beyond measurement noise, the hypothesis that reduced $\alpha$ yields measurable capacity increase would be refuted.

    from 6.2. Failure modes and falsification
  3. Assuming the brain attenuates this budget by a factor $\alpha$, a 20 % reduction in filtering ($\alpha=0.8$) yields a per‑sample information reduction of $13.10$ bits and an observable shift of $6.18$ bits relative to a modest 10 % reduction.

    from Abstract

Where the claim stops

  1. The 10 m cubic workspace is an assumed scale; different environments will change $I_{p}$.

    from 6.1. Limitations
  2. Future work will refine the filter parameterization, incorporate additional sensory modalities, and validate the model empirically.

    from 8. Conclusion
  3. Assuming the brain attenuates this budget by a factor $\alpha$, a 20 % reduction in filtering ($\alpha=0.8$) yields a per‑sample information reduction of $13.10$ bits and an observable shift of $6.18$ bits relative to a modest 10 % reduction.

    from Abstract

Where to read

  1. Abstract142 words · 1 min
  2. 1. Introduction241 words · 1 min
  3. 2. Background and Related Work415 words · 2 min
  4. 3. Methods328 words · 1 min
  5. 4. Analysis304 words · 1 min
  6. 5. Results118 words · 1 min
  7. 6. Discussion223 words · 1 min
  8. 7. Practical Implications and Engineering Pathways291 words · 1 min
  9. 8. Conclusion72 words · 1 min
  10. Correction Notice295 words · 1 min
  11. Provenance and AI Involvement228 words · 1 min
  12. Appendix A. Divergence report218 words · 1 min

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