THANK YOU Professor Giuseppe Longo and Maël Montévil! This has bothered me for a long time but I couldn’t put my finger on it. (renormalization appearing so similar to other scaling such a fractals and other boundary forms while seeming a bit ‘brute’ to potentially important, delicate structures). You answered this. “In contrast to known critical transitions in physics, biological entities should not be analyzed just as transient over a point of a phase change; instead, they permanently sustain criticality over a non-zero interval and this with respect to many control parameters (time, temperature, pressure). This represents a crucial change of perspective. First, the mathematical tools used in physics for the analysis of criticality, i.e, the renormalization methods, essentially use the pointwise nature of the critical transitions. ” “From physics to biology by extending criticality and symmetry breakings”, 2012

THANK YOU Professor Giuseppe Longo and Maël Montévil!

This has bothered me for a long time but I couldn’t put my finger on it. (renormalization appearing so similar to other scaling such a fractals and other boundary forms while seeming a bit ‘brute’ to potentially important, delicate structures).

You answered this.

“In contrast to known critical transitions in physics, biological entities should not be analyzed just as transient over a point of a phase change; instead, they permanently sustain criticality over a non-zero interval and this with respect to many control parameters (time, temperature, pressure). This represents a crucial change of perspective. First, the mathematical tools used in physics for the analysis of criticality, i.e, the renormalization methods, essentially use the pointwise nature of the critical transitions. ”

“From physics to biology by extending criticality and symmetry breakings”, 2012

[responsivevoice_button voice="US English Male"]