The internal interval variance dampening equation $\alpha(x, B) = (B - 1) + \frac{12}{2x \ln B}$ models coordinate scale modifications over positional power intervals[span_24](start_span)[span_24](end_span). For a Base-3 framework, this evaluates to $\alpha(x, 3) = 2 + \frac{6}{\ln(3^x)}$[span_25](start_span)[span_25](end_span).
Evaluating the absolute zero-point where scale modification vanishes ($\alpha(x, 3) = 0$) isolates the spatial coordinate $x = -3/\ln(3)$[span_26](start_span)[span_26](end_span). Passing this coordinate back into Base-3 scaling space yields $3^x = 3^{-3/\ln(3)} = e^{-3} = 1/e^3 \approx 0.049787$[span_27](start_span)[span_27](end_span).
This plot tracks the scale modifier $\alpha(x, 3)$ alongside interval density $3^x$[span_28](start_span)[span_28](end_span). The intersection highlights the symbolic bridge connecting discrete trinary coordinate grids directly to continuous natural logarithmic baselines[span_29](start_span)[span_29](end_span).