{
  "id": "c60-quantized-states-prereg",
  "type": "prediction",
  "title": "Pre-Registered \u2014 C60 Fullerene Battery Six Quantized States at 0.45 V",
  "status": "open",
  "project": "geometric_battery",
  "date_published": "2026-04-02",
  "date_updated": "2026-05-12",
  "tags": [
    "prediction",
    "c60",
    "fullerene",
    "battery",
    "quantized-states",
    "prereg",
    "falsifiable"
  ],
  "author": "Jonathan Shelton",
  "log_subtype": "pre_registration",
  "url": "https://prometheusresearch.tech/research/predictions/c60-quantized-states-prereg.html",
  "source_markdown_url": "https://prometheusresearch.tech/research/_src/predictions/c60-quantized-states-prereg.md.txt",
  "json_url": "https://prometheusresearch.tech/api/entries/c60-quantized-states-prereg.json",
  "summary_excerpt": "Pre-registered prediction for the C60 fullerene-battery hypothesis, filed 2026-04-02.\nThe framework predicts:\n\n\nProperty\nPredicted value\n\n\n\nCharge states\n6 (exactly)\n\n\nVoltage step spacing\n0.45 V (\u00b10.05 V)\n\n\nTunneling suppression vs sphere\n~10\u2079\u00d7\n\n\nCharge-state retention\n>30 days at 25\u00b0C\n\n\nTheoretica...",
  "frontmatter": {
    "id": "c60-quantized-states-prereg",
    "type": "prediction",
    "title": "Pre-Registered \u2014 C60 Fullerene Battery Six Quantized States at 0.45 V",
    "date_published": "2026-04-02",
    "date_updated": "2026-05-12",
    "project": "geometric_battery",
    "status": "open",
    "log_subtype": "pre_registration",
    "tags": [
      "prediction",
      "c60",
      "fullerene",
      "battery",
      "quantized-states",
      "prereg",
      "falsifiable"
    ],
    "author": "Jonathan Shelton",
    "predicts": [
      "c60-as-geometric-electron-trap"
    ],
    "see_also": [
      "geometric-battery-c60-fullerene",
      "hpc-032-sphere-family-archimedean"
    ]
  },
  "body_markdown": "\n## Author notes\n\nThis is a **pre-registered prediction** for the fullerene-battery\nhypothesis. The framework predicts C60 should serve as a resonant\nelectron trap with six discrete charge states at 0.45 V step\nspacing. This entry locks the predicted values *before* experimental\nsynthesis and electrochemical characterization confirms or refutes.\n\n### The prediction\n\nA C60-based test cell electrochemically loaded should show:\n\n| Predicted property | Predicted value | Tolerance |\n|---|---|---|\n| Number of accessible charge states | **6** | exactly 6, not 5 or 7 |\n| Voltage step between consecutive states | **0.45 V** | \u00b10.05 V |\n| Tunneling suppression vs spherical control | **~10\u2079\u00d7** | order-of-magnitude tolerance |\n| Charge-state stability (retention time) | **>30 days at 25\u00b0C** | empirically testable |\n| Theoretical energy density (pure C60) | **804 mAh/g** | \u00b110% |\n| Operating voltage range | **0 V \u2013 2.7 V** | based on 6 \u00d7 0.45 V |\n\n### Confirmation thresholds\n\n**Fully confirmed if (all of):**\n- Empirical cyclic voltammetry shows exactly 6 reduction peaks at\n  step spacing 0.45 \u00b1 0.05 V across the 0\u20132.7 V window.\n- Tunneling-suppression measurement (compare C60 with featureless\n  spherical reference) shows \u226510\u2078\u00d7 retention factor.\n- Charge-state retention exceeds 30 days at room temperature with\n  <5% loss per state.\n- Cycling stability >10,000 cycles with <2% capacity loss.\n\n**Partially confirmed if:**\n- 5 or 7 reduction peaks observed (vs predicted 6) but spacing\n  matches 0.45 V \u2014 the geometric mechanism is real but the cage\n  capacity prediction needs refinement.\n- Step spacing 0.30\u20130.40 V or 0.50\u20130.60 V (within ~20% of predicted)\n  \u2014 the mechanism is real but the framework's prediction of cage-\n  diameter-to-step-spacing scaling needs adjustment.\n- 6 states at correct spacing but tunneling suppression only 10\u2075\u2013\n  10\u2077\u00d7 (vs predicted 10\u2079\u00d7) \u2014 mechanism real but suppression factor\n  was overestimated.\n\n**Falsified if (any of):**\n- Cyclic voltammetry shows continuous reduction (no quantized\n  steps).\n- Number of steps differs from 6 by more than \u00b11, and spacing\n  differs from 0.45 V by more than \u00b10.1 V \u2014 geometric prediction\n  has failed in a way the partial-confirmation thresholds don't\n  rescue.\n- C60 shows no enhanced retention vs spherical control\n  (suppression factor < 10\u00d7) \u2014 the {5}-fold-retention mechanism\n  fails empirically.\n- Cycling stability <100 cycles before capacity loss exceeds 10%\n  \u2014 would indicate that the \"no chemistry\" claim is wrong;\n  something is reacting.\n\n### Variants under separate prediction\n\nIf the C60 prediction confirms, the framework predicts *related but\ndistinct* values for:\n- **C70 (rugby-ball fullerene):** different state count and spacing\n  due to elongated geometry. The framework predicts 7 states at\n  ~0.38 V spacing (lower-confidence prediction; depends on the\n  framework's mapping of asymmetric-cage geometry to charge\n  capacity).\n- **Endohedral fullerenes (M@C60, M = Li, Na, K):** modified\n  spacing depending on encapsulated metal's geometric effect on\n  cage interior. Predictions to be filed separately when prepared.\n\nThe cleanest confirmation comes from C60 specifically; C70 and\nendohedral variants are second-order tests.\n\n### Why pre-registration matters here\n\nBattery performance claims are notoriously susceptible to post-hoc\ntuning \u2014 \"we predicted 6 states; we measured 7; but if you count\nthe small extra peak at higher voltage as a single state, we got\n7 which is actually consistent with\u2026\" etc. The pre-registration\nlocks the prediction at exactly 6 states with 0.45 V spacing. The\nempirical result either lands in that window or it doesn't.\n\nThe 804 mAh/g energy-density figure is particularly important to\npre-register because energy-density claims in battery research are\noften inflated by post-hoc accounting. The framework's prediction\nof 804 mAh/g assumes pure C60 with all 6 states fully addressable\nin normal-temperature operation. Empirical implementations\ninvolving binders, electrolytes, current collectors will give\nlower practical numbers; the comparison should be against the\n*pure C60 theoretical* prediction, not the practical-implementation\nnumber.\n\n### Status of evaluation\n\n- Fabrication of high-purity C60 electrode cells is well-established\n  technology (commercial sources of >99% pure C60 exist).\n- Electrochemical characterization is standard CV + galvanostatic\n  cycling work in any battery-research lab.\n- No collaborator has yet run the test against the framework's\n  pre-registered values.\n\nThe test is *cheap* \u2014 a few thousand dollars for a single test\ncell. The barrier is collaborator capacity, not equipment cost.\n\n## Summary\n\n**Pre-registered prediction** for the C60 fullerene-battery\nhypothesis, filed 2026-04-02.\n\n**The framework predicts:**\n| Property | Predicted value |\n|---|---|\n| Charge states | 6 (exactly) |\n| Voltage step spacing | 0.45 V (\u00b10.05 V) |\n| Tunneling suppression vs sphere | ~10\u2079\u00d7 |\n| Charge-state retention | >30 days at 25\u00b0C |\n| Theoretical energy density | 804 mAh/g (pure C60) |\n| Operating range | 0 \u2013 2.7 V |\n\n**Confirmation:** exactly 6 reduction peaks at 0.45 V spacing with\n>10\u2078\u00d7 tunneling suppression and >10,000-cycle stability.\n\n**Falsification:** continuous (non-quantized) reduction, OR steps\ndiffering from 6 by more than \u00b11 AND spacing off by more than \u00b10.1 V,\nOR suppression <10\u00d7 vs spherical control, OR cycling stability\n<100 cycles.\n\n**Related predictions** for C70 (7 states at ~0.38 V) and endohedral\nM@C60 variants filed separately as second-order tests.\n\n**Status: open.** Test is *cheap* (~$1-3K for one cell at any\nbattery-research lab); barrier is collaborator capacity, not\nequipment. No collaborator has yet run the test against the\nframework's pre-registered values.\n\n**Pre-registration locks** the predicted values; no retroactive\nadjustment. The result lands where it lands. Particularly\nimportant for battery research given the field's history of\npost-hoc tuning of performance claims.\n",
  "body_html": "<h2>Author notes</h2>\n<p>This is a <strong>pre-registered prediction</strong> for the fullerene-battery hypothesis. The framework predicts C60 should serve as a resonant electron trap with six discrete charge states at 0.45 V step spacing. This entry locks the predicted values *before* experimental synthesis and electrochemical characterization confirms or refutes.</p>\n<h3>The prediction</h3>\n<p>A C60-based test cell electrochemically loaded should show:</p>\n<table class=\"entry-table\">\n<thead><tr>\n<th>Predicted property</th>\n<th>Predicted value</th>\n<th>Tolerance</th>\n</tr></thead>\n<tbody>\n<tr>\n<td>Number of accessible charge states</td>\n<td><strong>6</strong></td>\n<td>exactly 6, not 5 or 7</td>\n</tr>\n<tr>\n<td>Voltage step between consecutive states</td>\n<td><strong>0.45 V</strong></td>\n<td>\u00b10.05 V</td>\n</tr>\n<tr>\n<td>Tunneling suppression vs spherical control</td>\n<td><strong>~10\u2079\u00d7</strong></td>\n<td>order-of-magnitude tolerance</td>\n</tr>\n<tr>\n<td>Charge-state stability (retention time)</td>\n<td><strong>>30 days at 25\u00b0C</strong></td>\n<td>empirically testable</td>\n</tr>\n<tr>\n<td>Theoretical energy density (pure C60)</td>\n<td><strong>804 mAh/g</strong></td>\n<td>\u00b110%</td>\n</tr>\n<tr>\n<td>Operating voltage range</td>\n<td><strong>0 V \u2013 2.7 V</strong></td>\n<td>based on 6 \u00d7 0.45 V</td>\n</tr>\n</tbody></table>\n<h3>Confirmation thresholds</h3>\n<p><strong>Fully confirmed if (all of):</strong></p>\n<ul>\n<li>Empirical cyclic voltammetry shows exactly 6 reduction peaks at</li>\n<p>step spacing 0.45 \u00b1 0.05 V across the 0\u20132.7 V window.</p>\n<li>Tunneling-suppression measurement (compare C60 with featureless</li>\n<p>spherical reference) shows \u226510\u2078\u00d7 retention factor.</p>\n<li>Charge-state retention exceeds 30 days at room temperature with</li>\n<p><5% loss per state.</p>\n<li>Cycling stability >10,000 cycles with <2% capacity loss.</li>\n</ul>\n<p><strong>Partially confirmed if:</strong></p>\n<ul>\n<li>5 or 7 reduction peaks observed (vs predicted 6) but spacing</li>\n<p>matches 0.45 V \u2014 the geometric mechanism is real but the cage capacity prediction needs refinement.</p>\n<li>Step spacing 0.30\u20130.40 V or 0.50\u20130.60 V (within ~20% of predicted)</li>\n<p>\u2014 the mechanism is real but the framework's prediction of cage- diameter-to-step-spacing scaling needs adjustment.</p>\n<li>6 states at correct spacing but tunneling suppression only 10\u2075\u2013</li>\n<p>10\u2077\u00d7 (vs predicted 10\u2079\u00d7) \u2014 mechanism real but suppression factor was overestimated.</p>\n</ul>\n<p><strong>Falsified if (any of):</strong></p>\n<ul>\n<li>Cyclic voltammetry shows continuous reduction (no quantized</li>\n<p>steps).</p>\n<li>Number of steps differs from 6 by more than \u00b11, and spacing</li>\n<p>differs from 0.45 V by more than \u00b10.1 V \u2014 geometric prediction has failed in a way the partial-confirmation thresholds don't rescue.</p>\n<li>C60 shows no enhanced retention vs spherical control</li>\n<p>(suppression factor < 10\u00d7) \u2014 the {5}-fold-retention mechanism fails empirically.</p>\n<li>Cycling stability <100 cycles before capacity loss exceeds 10%</li>\n<p>\u2014 would indicate that the \"no chemistry\" claim is wrong; something is reacting.</p>\n</ul>\n<h3>Variants under separate prediction</h3>\n<p>If the C60 prediction confirms, the framework predicts *related but distinct* values for:</p>\n<ul>\n<li><strong>C70 (rugby-ball fullerene):</strong> different state count and spacing</li>\n<p>due to elongated geometry. The framework predicts 7 states at ~0.38 V spacing (lower-confidence prediction; depends on the framework's mapping of asymmetric-cage geometry to charge capacity).</p>\n<li><strong>Endohedral fullerenes (M@C60, M = Li, Na, K):</strong> modified</li>\n<p>spacing depending on encapsulated metal's geometric effect on cage interior. Predictions to be filed separately when prepared.</p>\n</ul>\n<p>The cleanest confirmation comes from C60 specifically; C70 and endohedral variants are second-order tests.</p>\n<h3>Why pre-registration matters here</h3>\n<p>Battery performance claims are notoriously susceptible to post-hoc tuning \u2014 \"we predicted 6 states; we measured 7; but if you count the small extra peak at higher voltage as a single state, we got 7 which is actually consistent with\u2026\" etc. The pre-registration locks the prediction at exactly 6 states with 0.45 V spacing. The empirical result either lands in that window or it doesn't.</p>\n<p>The 804 mAh/g energy-density figure is particularly important to pre-register because energy-density claims in battery research are often inflated by post-hoc accounting. The framework's prediction of 804 mAh/g assumes pure C60 with all 6 states fully addressable in normal-temperature operation. Empirical implementations involving binders, electrolytes, current collectors will give lower practical numbers; the comparison should be against the *pure C60 theoretical* prediction, not the practical-implementation number.</p>\n<h3>Status of evaluation</h3>\n<ul>\n<li>Fabrication of high-purity C60 electrode cells is well-established</li>\n<p>technology (commercial sources of >99% pure C60 exist).</p>\n<li>Electrochemical characterization is standard CV + galvanostatic</li>\n<p>cycling work in any battery-research lab.</p>\n<li>No collaborator has yet run the test against the framework's</li>\n<p>pre-registered values.</p>\n</ul>\n<p>The test is *cheap* \u2014 a few thousand dollars for a single test cell. The barrier is collaborator capacity, not equipment cost.</p>\n<h2>Summary</h2>\n<p><strong>Pre-registered prediction</strong> for the C60 fullerene-battery hypothesis, filed 2026-04-02.</p>\n<p><strong>The framework predicts:</strong></p>\n<table class=\"entry-table\">\n<thead><tr>\n<th>Property</th>\n<th>Predicted value</th>\n</tr></thead>\n<tbody>\n<tr>\n<td>Charge states</td>\n<td>6 (exactly)</td>\n</tr>\n<tr>\n<td>Voltage step spacing</td>\n<td>0.45 V (\u00b10.05 V)</td>\n</tr>\n<tr>\n<td>Tunneling suppression vs sphere</td>\n<td>~10\u2079\u00d7</td>\n</tr>\n<tr>\n<td>Charge-state retention</td>\n<td>>30 days at 25\u00b0C</td>\n</tr>\n<tr>\n<td>Theoretical energy density</td>\n<td>804 mAh/g (pure C60)</td>\n</tr>\n<tr>\n<td>Operating range</td>\n<td>0 \u2013 2.7 V</td>\n</tr>\n</tbody></table>\n<p><strong>Confirmation:</strong> exactly 6 reduction peaks at 0.45 V spacing with >10\u2078\u00d7 tunneling suppression and >10,000-cycle stability.</p>\n<p><strong>Falsification:</strong> continuous (non-quantized) reduction, OR steps differing from 6 by more than \u00b11 AND spacing off by more than \u00b10.1 V, OR suppression <10\u00d7 vs spherical control, OR cycling stability <100 cycles.</p>\n<p><strong>Related predictions</strong> for C70 (7 states at ~0.38 V) and endohedral M@C60 variants filed separately as second-order tests.</p>\n<p><strong>Status: open.</strong> Test is *cheap* (~$1-3K for one cell at any battery-research lab); barrier is collaborator capacity, not equipment. No collaborator has yet run the test against the framework's pre-registered values.</p>\n<p><strong>Pre-registration locks</strong> the predicted values; no retroactive adjustment. The result lands where it lands. Particularly important for battery research given the field's history of post-hoc tuning of performance claims.</p>",
  "see_also": [
    "geometric-battery-c60-fullerene",
    "hpc-032-sphere-family-archimedean"
  ],
  "cited_by": [],
  "attachments": [],
  "schema_version": "1.0",
  "generated_at": "2026-05-12T03:27:18.533879Z"
}