Making use of a new high-resolution spiral galaxy simulation, as well as Gaia DR2 and EDR3 data complemented by chemical abundances from the Galah DR3, APOGEE DR16, LAMOST DR5 surveys, we explore the possible link between the Milky Way (MW) spiral arms, (R,v φ ) -ridges and moving groups in local v R -v φ space. We show that the tightly wound main spiral arms in the N-body simulation can be successfully identified using overdensities in angular momentum (AM) or guiding space, as well as in the distribution of dynamically cold stars close to their guiding centers. Stars in the AM overdensities that travel over many kpc in radius trace extended density ridges in (R,v φ ) space and overdensities in the v R -v φ plane of a Solar neighbourhood (SNd)-like region, similar to those observed in the Gaia data. Similarly, the AM space of the MW contains several overdensities which correlate with a wave-like radial velocity pattern; this pattern is also reproduced by stars well beyond the SNd. We find that the fraction of Gaia stars located near their guiding centers shows three large-scale structures that approximately coincide with the MW spiral arms traced by distributions of maser sources in the Sagittarius, Local, and Perseus arms. This approach does not work for the Scutum arm near the end of the bar. Similar to the simulation, the stars in the AM overdensities follow the main (R,v φ ) density ridges with nearly constant angular momentum. When these ridges cross the SNd, they can be matched with the main v R -v φ features. Thus we suggest that the Hat is the inner tail of the Perseus arm, one of the Hercules components is the Sagittarius arm and the Arcturus stream is likely to be the outermost tail of the Scutum-Centaurus arm. Based on previous work, the bar corotation is suggested to coincide with the second, v φ ≈ −55 km/s Hercules stream ridge, and the OLR with the Sirius stream. The latter is supported by a sharp decrease of the mean metallicity beyond the Sirius stream, which is an expected behaviour of the OLR, limiting migration of the metal-rich stars from the inner MW. In various phase-space coordinates the AM overdensities stars have systematically higher mean metallicity by about 0.05 dex compared to surrounding stars which is a predicted behaviour of the spiral arms. We show that the wave-like metallicity pattern can be traced at least up to |z| ≈ 1 kpc, linked to radial velocity variations seen even further (|z| ≈ 2 kpc) from the Galactic mid-plane.