Driving Principle of Life: Vortex Dynamics of Self-Replicators and Its Relation to Gravity

This paper builds on the proven results of the earlier article  
“Information Flux Theory: A Re-interpretation of the Standard Model and the Origin of Gravity with a Single Fermion.”
(DOI: https://doi.org/10.5281/zenodo.15399114)
We propose the unified evolution equation UEE_06, grounded in the  
single-fermion Information Flux Theory (IFT),  
and rigorously construct a “tension–vorticity dual mapping’’ that  
derives the vorticity field from the electron density via the tension density.  
First, operator analysis with the zero-area resonance kernel \(R\) demonstrates a universal mechanism in which a tension gradient generates a gravity-like potential that, in turn, drives vorticity.  
Next, introducing the ratio of tension-origin free energy  
\(\Delta G_{\mathrm{grav}}\) to thermal energy \(k_{B}T\),\(\zeta=\frac{\Delta G_{\mathrm{grav}}}{k_{B}T},\)
we identify \(\zeta=1\) as the critical threshold at which tension concentration overcomes thermal noise and self-replication begins through vorticity excitation.  
Furthermore, we prove that the maximum vorticity obeys the universal exponent \(1/2\),
\(\omega_{\max}\propto\sqrt{\alpha}\),
with respect to the tension-amplification factor \(\alpha\),  
and verify this scaling law by constructing a high-precision DFT–IFT numerical pipeline at the molecular scale.  
The study demonstrates the effectiveness of IFT as a transversal framework linking quantum field theory, thermodynamics, fluid dynamics, and life phenomena, and points out that tension and vorticity are universal coordinates across the hierarchy of matter.