We derive the Tully-Fisher (TFR,
M∗−Vcirc,f) and Fall (FR,
j∗−M∗) relations at redshift
z=0.9 using a sample of 43 main-sequence disc galaxies with H
α IFU data and JWST/HST imaging. The strength of our analysis lies in the use of state-of-the-art 3D kinematic models to infer galaxy rotation curves, the inclusion and morphological modelling of NIR bands, and the use of SED modelling applied to our photometry measurements to estimate stellar masses. After correcting the inferred H
α velocities for asymmetric drift, we find a TFR of the form
log(M∗/M⊙)=alog(Vcirc,f/150 kms−1)+b, with
a=3.82−0.40+0.55 and
b=10.27−0.07+0.06, as well as a FR of the form
log(j∗/kpckms−1)=alog(M∗/1010.5M⊙)+b, with
a=0.44−0.06+0.06 and
b=2.86−0.02+0.02.
When compared to their
z=0 counterparts, we find moderate evolution in the TFR and strong evolution in the FR over the past
8 Gyr. We interpret our findings in the context of the galaxy-to-halo scaling parameters
fM=M∗/Mvir and
fj=j∗/jvir. We infer that at
z=0.9 both
fM and
fj are higher and less mass-dependent than at
z=0. We speculate that the evolution of
fj can be driven by more efficient and centrally concentrated stellar feedback at
z=0.9, or by an appreciable dry merger history. We also show that assuming the galaxies populating our
z=0.9 relations evolve into those populating the
z=0 relations leads to an apparent discrepancy with the hierarchical growth of dark matter halos. To solve this issue, one needs to evoke a progenitor bias scenario, unknown systematics affecting our and previous measurements, or consider the possibility that H
α kinematics is not a reliable dynamical tracer.