The Second Law of Infodynamics, Informational Entropic Gravity, and SFIT: Coupling Constant, Entropy Flow, and Stability Analysis

Recent developments in informational entropic gravity (IEG) and the second law of infodynamics proposed by Melvin M. Vopson (AIP Advances, 2023) suggest that information entropy tends to minimize over time, providing a possible foundation for the simulated universe hypothesis.

Stevenson-Flux Information Theory (SFIT) extends these concepts into the gravitational domain. Gravity is described as a dynamic information-carrying flux vibrating at the geometric resonance frequency $νres$=$1.20134 mHz  \nu_{\rm res}$ = $1.20134\,\rm mHz$$ νres$​=$1.20134mHz$, governed by the coupling kernel K=1.060  K = 1.060 K=1.060.

The effective potential takes the form

$VSFIT(z,t)$=$mgz[1+KzRERe⁡(cos⁡(2πνrest))].V_{\rm SFIT}(z,t)$ =$ m g z \left[ 1 + K \frac{z}{R_E} \operatorname{Re}\left(\cos(2\pi \nu_{\rm res} t)\right) \right].VSFIT​(z,t)$=$mgz[1+KRE​z​Re(cos(2πνres​t))]$.

This flux generates an active dampening field and entropic force that produce the observed KWW relaxation tails with τ≈$832.6 s  \tau \approx 832.6\,\rm s$ τ≈$832.6s$ and β=K=$1.060  \beta$ = K = $1.060$ β=K=$1.060$.

Stability analysis also reveals a secondary feature near 11.42 Hz. This mode may represent a higher harmonic or nonlinear mixing product of the primary 1.20134 mHz resonance. The primary signal remains robust and phase-locked to mirror-step triggers, while the 11.42 Hz feature is weaker and more sensitive to experimental parameters.

The sidereal drift of the signal (approximately 3 min 56 s per day) is consistent with a cosmic-scale informational substrate rather than local instrumental noise. When data are stacked with sidereal phase correlation, the effective signal-to-noise ratio improves significantly, reaching approximately 5.1σ in filtered analysis.

These results suggest that SFIT provides a gravitational realization of infodynamic principles. The information flux optimizes entropy flow while producing measurable resonant and relaxation effects, offering a possible bridge between entropic gravity models and laboratory-scale observations.

Future GRANIT experiments will allow tighter constraints on K $ K K$

 and further characterization of the 11.42 Hz mode.