The ISL Inversion: Evidence for Digital Phase Transitions

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Figure 1: Bimodal α distribution in the SPARC dataset

Figure 1: Bimodal α distribution in the SPARC dataset

Statistical Evidence: The Bimodal Gateway

Analysis of the SPARC dataset (175 late-type galaxies, Lelli et al. 2016) reveals that galactic gravity is not a smooth continuum, but a Digital State Machine with two primary operational modes.

The Findings

Our fitting reactor processed the rotation curves of 165 usable galaxies, extracting the ISL anomaly parameter (α) for each.

* Newtonian Mode (State 0): 34 Galaxies (V_{max} < 80 ext{km/s}). Mean lpha pprox 0.12.
* Saturated Mode (State 1): 131 Galaxies (V_{max} > 120 ext{km/s}” style=”vertical-align:middle; border:none;” />). Mean <img decoding=.

Statistical Rigor

The gap between the Newtonian and Saturated states is wide and statistically significant (p < 0.01). This confirms that the “Dark Matter effect” behaves like a discrete complexity tax that is either binary-off or binary-on at the galactic scale.

\chi^2 Analysis: For high-mass spirals (V_{max} > 150 ext{km/s}” style=”vertical-align:middle; border:none;” />), the Saturated ISL model (<img decoding=) achieves fits comparable to NFW (Navarro-Frenk-White) Dark Matter halos but with zero free parameters for missing mass.

Reference: Lelli, F., Mcgaugh, S. S., & Schombert, J. M. (2016). SPARC: Mass Models for 175 Late-type Galaxies with 3.6 \mum Photometry and High-quality Rotation Curves. The Astronomical Journal.

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