Emergence of high-mass stars in complex fiber networks (EMERGE) VI. Turbulence dissipation and the formation of dense fibers

(Abridged) The turbulent cascade naturally generates a hierarchy of filaments within molecular clouds, with fibers suggested to be the first (tran-)sonic components formed out of it. We aim to investigate the diffuse gas kinematics and its interaction with the dense gas composing fibers using HNC as molecular tracer. We use high-resolution (4.5" or 2000au) large-scale ALMA+IRAM-30m mosaics to survey five star-forming regions in Orion, as part of the EMERGE Early ALMA Survey covering a wide range of stellar activity, cloud morphology, and evolutionary stages. We observe our targets in HNC(1-0) as probe of diffuse gas in the regions and compare it to the N2H+(1-0) emission tracing the dense gas. Our high resolution observations reveal that HNC traces lukewarm, diffuse (about5 times10 21 cm-2) material around dense fibers. The properties of the diffuse gas appear to be similar across our sample, despite the wide range of different environments. Compared to the quiescent and subsonic gas inside fibers, the diffuse gas is, however, more turbulent (M s=2.9). Understanding the dissipation process is crucial to mark the transition between the dense subsonic gas and diffuse turbulent material occurs. We investigated the turbulence dissipation through the statistical analysis of the HNC velocity gradients. We identified high-shear regions showing higher gradients with grad V lsr 10 km s-1 pc-1 concentrated in small features of 0.1-0.3 pc in size located near the dense gas. These high-shear structures appear to be major contributors of the turbulence dissipation in our targets. Our results suggest that in Orion the transition to coherence occurs at the fiber level, as suggested by the turbulence being effectively dissipated before the formation of cores and during the formation of these first dense structures.