Galaxy flows within 8,000 km/s from Numerical Action methods
Edward Shaya, R. Brent Tully, Daniel Pomar\`ede, and Alan Peel

TL;DR
This study reconstructs galaxy trajectories within 8,000 km/s using Numerical Action methods, revealing insights into large-scale structure formation, void evolution, and matter distribution consistent with cosmological models.
Contribution
It applies Numerical Action reconstructions to a large galaxy sample, integrating observational data to model galaxy histories and matter distribution, including interhalo medium effects.
Findings
Best fit H0 is 73 km/s/Mpc with matter in interhalo medium matching simulations.
Reconstructed galaxy trajectories illustrate formation and evolution of large-scale structures.
Models show a relationship between local density variations and Hubble constant estimates.
Abstract
The trajectories since z=4 of systems of galaxies (`halos') with cz < 8,000 km/s are found through Numerical Action reconstructions. A set of 9,719 halos from a 2MASS group catalog and Cosmicflows-3 catalogs are given attention. Present distances are adjusted to minimize departures from observed redshifts. For those with the most precisely determined distances, compromises are made between distance and redshift agreement. is varied from 69 to 77 km s Mpc with set by the baryon acoustic oscillation constraint from the Planck Satellite. A best fitting amplitude of the mass-to-light relation is found. A uniform density associated with the interhalo medium accounts for the matter not in halos. The solution paths provide the histories of the formation of the nearby large structures and depict how the voids emptied. Assuming no local over/underdensity, the best…
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