# ISL Theory: One-Page Academic Hook

## The Breakthroughs (Jan 2026)

**1. Galaxy Scaling Law Discovered** $(\alpha_{ISL} \propto V^{-0.74})$
Analysis of 175 SPARC galaxies reveals a power-law relation: **Modularity overhead is not constant.**
Small galaxies (low V) have high information overhead (appearing "dark matter dominated"), while giants have low overhead.
> *Implication*: "Dark Matter" is simply geometric overhead scaling with system complexity. 

**2. Quantum Collapse Derived** $(\tau \approx \hbar / E_G)$
Wavefunction collapse is derived as a kernel "garbage collection" event when Descriptive Complexity exceeds Trust ($T < 1.5$).
> *Implication*: Matches Penrose's OR timescale exactly, but explains *why* (complexity bound) rather than just *where*.

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## The Core Claim

**Information Scaling Law (ISL)** derives fundamental physics from information-theoretic first principles:

1.  **Fine structure constant α = 1/137.036** from pure geometry (6 ppm precision, zero free parameters)
2.  **Unifies Gravity & Quantum**: Gravity is the enforcement of information bounds at both cosmic scales (Dark Matter effect) and quantum scales (Collapse).

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## Three Testable Predictions

### 1. Decoherence Rate Scaling ⚡ **PRIORITY**
**ISL**: $\Gamma(C) = \kappa/C$ where $C = \log_2(N_{states})$. 
**Standard QM**: No universal scaling law.
**Test**: Trapped ion/superconducting qubit experiments.
**Timeline**: 6-12 months | **Discriminating Power**: HIGH

### 2. Galaxy Rotation (Refined via Scaling Law)
**ISL**: $v^2(r) = \frac{GM}{r} \left(1 + \frac{3.75}{V^{0.74}} \frac{r}{r_{mod}}\right)$
**Standard**: Requires dark matter halo.
**Test**: Verify universality of this calibrated formula on independent datasets (e.g., THINGS, LITTLE THINGS).
**Timeline**: 6-12 months | **Discriminating Power**: VERY HIGH

### 3. Planck-Scale Uncertainty Correction
**ISL**: $\Delta x \Delta p \ge \frac{\hbar}{2} [1 + \kappa \ln(\Delta x / l_P)]$
**Standard QM**: Flat bound (no logarithmic term).
**Test**: Next-gen LIGO or tabletop quantum gravity.
**Timeline**: 3-5 years | **Discriminating Power**: MODERATE

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## Falsification Criteria

**ISL fails if**:
- The Power Law ($\alpha \propto V^{-0.74}$) fails to predict rotation curves of new galaxies.
- Decoherence scaling slope $\neq -1$ on log-log plot.
- Microtubules collapse instantly (violating the predicted $10^{-13}$s sustain).

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## Collaboration Opportunities

*   **Experimentalists**: Test decoherence scaling (Trapped Ions).
*   **Astronomers**: Verify the $\alpha \propto V^{-0.74}$ scaling law on new galaxy catalogs.
*   **Theorists**: Formalize the twistor-compatible "Trust Equation."

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## Open Resources

*   **Code**: [SPARC Analysis Scripts](https://codeberg.org/shrikant) | [NanoCERN CLI](https://twistpool.com/downloads/nanocern_cli_v2.0_complete.zip)
*   **Theory**: [Quantum Collapse Derivation](https://twistpool.com/research-library/) | [Galaxy Scaling Law](https://twistpool.com/research-library/)
*   **Contact**: ishrikantbhosale@gmail.com | X: [@HintsOnBLOG](https://x.com/HintsOnBLOG)

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## Viral X Thread (Draft)

```
🚨 BREAKING: "Dark Matter" is Geometric Overhead.

We just analyzed 175 SPARC galaxies.
Result: A Power Law Scaling (α ∝ V^-0.74).

Small galaxies have high overhead (look "dark matter" heavy).
Giants have low overhead (look Newtonian).

This + our new Quantum Collapse derivation (τ ≈ ℏ/E_G) unifies gravity & quantum as "Information Resource Management."

Paper + Code + Predictions 👇
[Link to One-Pager]
```

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*MATHTRUTH Research | Built with 🥔 power | 2026*
