Paper NNN: <a class="headerlink" href="#paper-nnn" title="Permanent link">¶</a></h1>
<h2 id="abstract">Abstract<a class="headerlink" href="#abstract" title="Permanent link">¶</a></h2>
<p>Write a 4-6 sentence abstract that clearly defines:</p>
<ul>
<li>the invariant or experiment under study</li>
<li>why conventional rendering or validation language is insufficient</li>
<li>what is demonstrated in the deterministic harness</li>
</ul>
<h2 id="1-motivation">1. Motivation<a class="headerlink" href="#1-motivation" title="Permanent link">¶</a></h2>
<p>Establish the transition from classical rendering assumptions to the need for a geometry-aware invariant.</p>
<!--
Perspective Alignment Notes
- Penrose: geometry first, computation second.
- Bandyopadhyay: temporal coherence matters in propagation and measurement.
- Orch OR: observer-facing structure emerges through constrained physical selection, not arbitrary sampling.
-->
<h2 id="2-concept">2. Concept: <Invariant / Experimental Object><a class="headerlink" href="#2-concept" title="Permanent link">¶</a></h2>
<p>Define the object as a geometric and statistical entity.</p>
<p>Include:</p>
<ul>
<li>the target region or structure</li>
<li>the measured quantities</li>
<li>why the structure is meaningful rather than merely convenient</li>
</ul>
<!--
Perspective Alignment Notes
- Penrose: treat focusing and continuity as consequences of geometry.
- Bandyopadhyay: describe the object as stable across repeated deterministic realizations.
- Orch OR: keep the language disciplined; structured outcome selection must remain measurable.
-->
<h2 id="3-method">3. Method<a class="headerlink" href="#3-method" title="Permanent link">¶</a></h2>
<p>Ground the paper in implementation details.</p>
<p>Include:</p>
<ul>
<li>deterministic harness</li>
<li>transport description</li>
<li>portal / scene / observer framing as needed</li>
<li>measurement strategy</li>
<li>explicit reference to the figure quartet</li>
</ul>
<!--
Perspective Alignment Notes
- Keep this section concrete.
- Avoid metaphysical framing here.
- Let method carry the authority.
-->
<h2 id="4-results">4. Results<a class="headerlink" href="#4-results" title="Permanent link">¶</a></h2>
<p>Treat the figures as coordinated projections of one underlying structure.</p>
<h3 id="figure-a">Figure A<a class="headerlink" href="#figure-a" title="Permanent link">¶</a></h3>
<p><em>Figure A — Main Render: <code>output/<experiment_slug>/figures/figure_A_main_render.png</code></em></p>
<p>Describe what the main render alone establishes.</p>
<h3 id="figure-b">Figure B<a class="headerlink" href="#figure-b" title="Permanent link">¶</a></h3>
<p><em>Figure B — Composed Render with Research Inset: <code>output/<experiment_slug>/figures/figure_B_composed_overlay.png</code></em></p>
<p>Describe what explanatory structure the composed view adds.</p>
<h3 id="figure-c">Figure C<a class="headerlink" href="#figure-c" title="Permanent link">¶</a></h3>
<p><em>Figure C — Ring Density: <code>output/<experiment_slug>/figures/figure_C_ring_density.png</code></em></p>
<p>Describe what portal-local or invariant-local structure becomes visible here.</p>
<h3 id="figure-d">Figure D<a class="headerlink" href="#figure-d" title="Permanent link">¶</a></h3>
<p><em>Figure D — Metrics Table: <code>output/<experiment_slug>/figures/figure_D_metrics_table.png</code></em></p>
<p>Describe how the compact metrics summary closes the validation loop.</p>
<!--
Perspective Alignment Notes
- The figures should feel like different coordinate views of one structure.
- Avoid treating them as disconnected diagnostics.
- Keep prose evidence-facing.
-->
<h2 id="5-validation">5. Validation<a class="headerlink" href="#5-validation" title="Permanent link">¶</a></h2>
<p>Make correctness falsifiable.</p>
<p>Include:</p>
<ul>
<li>explicit pass conditions</li>
<li>what failure would look like</li>
<li>any rejected or boundary case that clarifies the contract</li>
</ul>
<!--
Perspective Alignment Notes
- Penrose: truth conditions matter.
- Bandyopadhyay: stability must persist across repeated runs.
- Determinism is epistemic structure, not just test hygiene.
-->
<h2 id="6-discussion">6. Discussion<a class="headerlink" href="#6-discussion" title="Permanent link">¶</a></h2>
<p>Open the conceptual space without over-claiming.</p>
<p>Possible themes:</p>
<ul>
<li>invariant as geometric constraint</li>
<li>invariant as computational guide</li>
<li>adaptive logic as structure-preserving rather than merely cost-minimizing</li>
<li>observer-facing structure as the measurable report of transport geometry</li>
</ul>
<!--
Perspective Alignment Notes
- Introduce observer-system coupling carefully and only where measurement supports it.
- Keep interpretation grounded in deterministic structure.
- No mysticism, no marketing.
-->
<h2 id="7-conclusion">7. Conclusion<a class="headerlink" href="#7-conclusion" title="Permanent link">¶</a></h2>
<p>Condense the contribution in three short moves:</p>
<ul>
<li>what was defined</li>
<li>what was shown</li>
<li>why it matters</li>
</ul>
<h2 id="appendix-a">Appendix A<a class="headerlink" href="#appendix-a" title="Permanent link">¶</a></h2>
<p>List the exact active configuration, thresholds, and any relevant harness settings.</p>
<!--
Perspective Alignment Notes
- Appendix stays operational.
- No interpretive language here.
-->
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