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We construct a new effective field theory approach to the equation of state(EoS), dubbed pseudo-confomal model "PCM," for nuclear and compact star matterentirely in terms of effective hadron degrees of freedom. The possibletransition at $n\sim (2-4) n_0$ (where $n_0$ is the normal nuclear matterdensity) from hadron degrees of freedom to strongly-coupled quark degrees offreedom, giving rise to a soft-to-hard changeover in the EoS that canaccommodate the massive stars observed, is effectuated by the topology changeat $n_{1/2}\gsim 2n_0$ from skyrmions to half-skyrmions without involving localorder-parameter fields. The mechanism exploits possible emergence of hiddenscale and local symmetries of QCD at high density, leading to a precocious"pseudo-conformal" sound velocity $v_s^2=1/3$ (in unit of $c=1$) for $n\gsim3n_0$. The resulting prediction signals a drastic departure from standardnuclear many-body theory in the density regime involved in the massive stars.We suggest that the tidal deformability implemented in gravitational wavescoming from coalescing neutron stars in LIGO/Virgo-type observations could pindown the location of the topology change density $n_{1/2}$.

A pseudo-conformal equation of state in compact-star matter from topology change and hidden symmetries of QCD