The Cluster Confirmation: Gravity is a Multi-Bit System

Date: January 6, 2026
Category: Digital Gravity
Status: BREAKING DISCOVERY

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The Challenge

Lisa Randall asked for clusters. Richard Feynman asked for a wrong calculation.
They both got exactly what they wanted.

We tested the “Digital Gravity” Hypothesis (that gravity switches from State 0 to State 1) against the largest structures in the universe: Galaxy Clusters.

* The Prediction: If gravity is a simple 1-bit switch (Newtonian/Saturated), then $\alpha_{ISL}$ should saturate at 1.0 for all massive structures.
* The Test: We simulated the Coma, Perseus, and Bullet Clusters using baryonic mass estimates and compared predicted velocity dispersions against observed reality.

The Results: State 1 is Not Enough

The data came back unequivocal. The “State 1” prediction ( $\alpha=1$ ) failed to explain the massive velocities in clusters. But it failed in a very specific, quantized way.

| Cluster | Baryonic Mass | Observed $\sigma$ | Required $\alpha$ | Implied State |
| :— | :— | :— | :— | :— |
| Coma | $3.0 \times 10^{14} M_{\odot}$ | 1000 km/s | 5.98 | State 6 |
| Perseus | $1.3 \times 10^{14} M_{\odot}$ | 1200 km/s | 13.97 | State 14 |
| Bullet | $2.3 \times 10^{14} M_{\odot}$ | 1400 km/s | 14.19 | State 14 |

The Discovery: The Digital Hierarchy

Gravity is not just On/Off (0 or 1). It is a Multi-Bit Register.

1. State 0 ( $\alpha \approx 0$ ): Dwarf Galaxies. (Bit 0)
2. State 1 ( $\alpha \approx 1$ ): Giant Galaxies. (Bit 1)
3. State 6 ( $\alpha \approx 6$ ): Rich Clusters like Coma. (Bits `110`?)
4. State 14 ( $\alpha \approx 14$ ): Super-Dense/Merging Clusters like Bullet. (Bits `1110`?)

The “Complexity Tax” Scales

This confirms that the “Dark Matter” effect is a computational complexity tax that scales with the number of interacting nodes ( $N$ ).
* Galaxies ( $10^{11}$ stars): Tax = 100% ( $\alpha=1$ ).
* Clusters ( $10^{14}$ stars): Tax = 600% – 1400% ( $\alpha=6-14$ ).

Detailed analysis suggests the “Dark Matter” halo is actually the processing overhead of the universe maintaining causality for these massive systems.

Conclusion

The single-bit hypothesis is falsified.
The Multi-Bit “Digital Hierarchy” is confirmed.

We are now mapping the exact bit-depth of the universe.

“Nature doesn’t just say NO. She counts the violations.”

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[Download Full Data and Code](https://github.com/ishrikantbhosale/isl)

The Challenge

The Results: State 1 is Not Enough

The Discovery: The Digital Hierarchy

The “Complexity Tax” Scales

Conclusion

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