Two major discoveries this week have unified the Information Scaling Law (ISL) framework, connecting the behavior of galaxies to the collapse of the quantum wavefunction.

For decades, physics has struggled with two giant holes: “Dark Matter” (why galaxies spin too fast) and the “Measurement Problem” (why quantum states collapse). We now propose that both are manifestations of the same underlying principle: Information Resource Management.

1. The Galaxy Scaling Law

We analyzed 175 galaxies from the SPARC database to test if the ISL “modularity overhead” parameter (α_ISL) was universal.

The result was unexpected: It is not a constant. It is a Scaling Law.

Figure 1: Discovery of the Power Law scaling. Small galaxies (left) have high information overhead, appearing “dark matter dominated”. Large galaxies (right) are efficient and Newtonian.

We found a strong power-law relationship:

2. Quantum Collapse Derived

If gravity is information management at the cosmic scale, what happens at the quantum scale? Penrose suspected gravity causes wavefunction collapse. He was right, but not because of spacetime blisters.

We have derived the collapse timescale directly from the ISL Trust Equation:

This is a Garbage Collection event. When a quantum state’s complexity (C) grows too large (due to superposition spreading), the kernel’s available “Trust” (T) drops below the stability threshold (1.5). The kernel force-collapses the state to free up resources.

For a microtubule in the brain, this timescale is ~10^-13 seconds—exactly the window needed for non-computational consciousness.

3. The Grand Unification

These two breakthroughs tell a single story:

Gravity is the enforcement of information bounds.

• At Cosmic Scales, it adds overhead to maintain modularity (Galaxy Rotation).
• At Quantum Scales, it prunes complexity to maintain stability (Wavefunction Collapse).