Identifying the Riemann Zeta function as a smoothed version of the Riemann Siegel function off the critical line

The Riemann Zeta function off the critical line can be understood as a smoothed version of the Riemann Siegel function scaled by the average growth, for Re(s) < 0.5, of the Riemann Zeta function. The smoothing behaviour off the critical line avoids the zeroes present in the rescaled Riemann Siegel function explaining the Riemann Hypothesis.