24 How to Falsify This Theory

A theory that cannot be falsified is not a scientific theory. The present framework therefore specifies explicit conditions under which it must be rejected. These conditions are observational, numerical, and structural. Failure under any one of them is sufficient to invalidate the model.

24.1 Observational Null Tests

The theory makes two primary observational predictions: a universal acceleration scale $a_{\ast}$ in galactic dynamics and horizon-scale deviations in black-hole ringdown signals.

The model is falsified if any of the following null results are established with sufficient confidence:

• No universal acceleration scale emerges from high-quality galactic rotation curve data when analyzed without dark matter halos.
• The Radial Acceleration Relation is shown to be an artifact of selection bias or data reduction, rather than a physical regularity.
• High-signal-to-noise gravitational-wave ringdown observations show no systematic deviation from general relativity at the predicted horizon-dependent level.

In particular, a confirmed absence of ringdown deviations across a wide range of black-hole masses would decisively rule out the informational suppression mechanism.

24.2 Numerical Instability Criteria

The theory relies on the claim that structurally viable worlds are dynamically stable under the informational evolution equation. This claim is directly testable numerically.

The model is falsified if:

• no parameter set selected by $\Xi$ produces sustained bounded evolution,
• all viable-looking simulations eventually collapse or diverge at late times,
• emergence of locality is shown to be a numerical artifact rather than a robust dynamical outcome.

Such failures would indicate that the proposed dynamics cannot support a physical phase and that the selection principle does not rescue the theory from generic instability.

24.3 What Result Would Kill the Model

The most decisive falsification would be a contradiction between the theory's core claims.

The model would be killed outright if any of the following were demonstrated:

• A universe governed by the informational dynamics generically produces absolute singularities despite saturation.
• Information loss is shown to occur in black-hole evaporation in a way that cannot be represented as a phase transition.
• A fully consistent and empirically successful alternative explains dark matter, dark energy, and singularities without invoking informational structure or pre-physical selection.

In these cases, the central premise—that physical reality emerges from informational selection—would be false.

The theory therefore exposes itself to failure. It offers no adjustable rescue mechanisms, no hidden sectors, and no unfalsifiable extensions. It stands or falls on the outcomes described above.

With the falsification criteria established, we conclude by summarizing the scope, limits, and implications of the framework.