Pre-Registered Prediction: The Topological Merger Spike

Date: January 6, 2026
Investigator: NanoCERN Lab / twistpool.com
Status: PRE-REGISTRATION (Before Data Analysis)

The Hypothesis

The Digital Gravity pattern \alpha \approx 2^k - \chi is driven by the Euler Characteristic (\chi) of the system’s boundary.

The Prediction

During cluster mergers (e.g., Abell 520, Bullet Cluster), the geometry of the system transitions from two spheres (\chi = 2+2=4) to a single interconnected manifold.

In the Bridge or Neck region between the two merging cores, the topology is locally equivalent to a cylinder or a torus handle, where the Euler Characteristic drops to 0.

We predict a discrete spike in detected gravitational anomaly (\alpha) in these bridge regions.

Quantitative Bound:

\alpha_{bridge} = \alpha_{core} + 2

(Assuming constant bit-depth k during the merger phase).

Why This Matters

* A “Dark matter” particle would expect mass to follow galaxies or gas (unless it is self-interacting).
* Digital Gravity expects mass to follow the Topology.

Falsification Criteria

The hypothesis is FALSIFIED if:
1. The bridge region shows \alpha lower than or equal to the cores.
2. The \alpha values vary smoothly rather than in discrete integer-steps matching \Delta \chi.


This note serves as a formal temporal anchor. Analysis of Abell 520 spatial maps to follow.

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