Here is a list of most of the peer-reviewed papers on MiHsC/quantised inertia (QI) so far, with brief summaries. The most conclusive ones are generally towards the end of the list:
McCulloch, M.E., 2007. Modelling the Pioneer anomaly as modified inertia. Mon. Not. Roy. Astro. Soc., 376, 338-342. https://arxiv.org/abs/astro-ph/0612599 The initial conceptual paper, explaining QI and showing that it predicts the Pioneer spacecraft anomaly, which also agrees with the cosmic acceleration and 2c^2/Cosmic_scale. Despite this clue the mainstream no longer considers it an anomaly having invented a computer-aided complex fudge for it. There are lots of other suggestions for tests of QI in the discussion.
McCulloch, M.E., 2008. Can the flyby anomalies be explained by a modification of inertia? J. British Interplanetary Soc., Vol. 61, 373-378. https://arxiv.org/abs/0712.3022. Most of this paper is now out of date, but I discuss 'how to modify inertia using metamaterials' in the discussion.
McCulloch, M.E., 2008. Modelling the flyby anomalies using a modification of inertia. Mon. Not. Royal. Astro. Soc., Letters, 389 (1), L57-60. https://arxiv.org/abs/0806.4159. Testing QI on the flyby anomalies, unexpected tiny boosts in the speed of spacecraft flying by Earth, which it predicts should be larger for slower-spinning bodies.
McCulloch, M.E., 2010. Minimum accelerations from quantised inertia. EPL, 90, 29001 https://arxiv.org/abs/1004.3303. QI explains cosmic acceleration and the minimum mass of dwarf galaxies. A test is also suggested using the LHC: accelerate particles so fast that the Unruh waves they see can be interfered with by long wave radiation.
McCulloch, M.E., 2011. The Tajmar effect from quantised inertia. EPL, 95, 39002.
https://arxiv.org/abs/1106.3266. QI predicts tiny dynamical anomalies observed by Tajmar close to super-cooled spinning rings.
McCulloch, M.E., 2012. Testing quantised inertia on galactic scales. Astrophysics and Space Science, Vol. 342, No. 2, 575-578. https://arxiv.org/abs/1207.7007. My first attempt to properly model galaxy rotation. QI predicts well (within the wide error bars).
McCulloch, M.E., 2013. Inertia from an asymmetric Casimir effect. EPL, 101, 59001 https://arxiv.org/abs/1302.2775. A conceptual paper, to explain the origin of inertial mass from first principles. It is also suggested that inertia can be modified, and motion can be induced, by making an artificial horizon. ****
McCulloch, M.E., 2014. Gravity from the uncertainty principle. ApSS. 349, 957-959. https://link.springer.com/article/10.1007%2Fs10509-013-1686-9. How to derive Newton's gravity law, from quantum mechanics! (the derivation is flawed at the end as you will see, but this is sorted out in a later paper, see below)
McCulloch, M.E., 2014. A toy cosmology using a Hubble-scale Casimir effect. Galaxies, Vol. 2(1), 81-88. http://www.mdpi.com/2075-4434/2/1/81. My first attempt at a QI cosmology - are we inside a black hole? The low-l CMB anomaly (an unexpected smoothness in the CMB at large scales) is also predicted.
McCulloch, M.E., 2015. Testing quantised inertia on the emdrive, EPL, 111, 60005. https://arxiv.org/abs/1604.03449. Shows that QI predicts the anomalous thrust from asymmetric microwave cavities (emdrives).****
Gine, J. and M.E. McCulloch, 2016. Inertia from Unruh temperatures. Modern Physics Letters A, 31, 1650107. http://www.worldscientific.com/doi/abs/10.1142/S0217732316501078. The first collaborative paper - with a more thermodynamic theme.
McCulloch, M.E., 2016. Quantised inertia from relativity & the uncertainty principle, EPL, 115, 69001. https://arxiv.org/abs/1610.06787. Conceptual. A better attempt at deriving gravity & QI from Heisenberg's uncertainty principle by assuming that what is conserved is mass-energy and information/uncertainty ****
McCulloch, M.E., 2017. Low acceleration dwarf galaxies as tests of quantised inertia. Astrophys. Space Sci., 362, 57. http://rdcu.be/px8h. Quantised inertia predicts parts of the cosmos that other theories cannot, dwarf galaxies.
Pickering, K., 2017. The universe as a resonant cavity: a small step towards unification of MoND and MiHsC. Adv. Astro., Vol. 2, No.1: http://www.isaacpub.org/images/PaperPDF/AdAp_100063_2017021413572668843.pdf. Models the cosmos with a better cavity model and has an interesting take on the cosmic boundary.
McCulloch, M.E., 2017. Testing quantised inertia on emdrives with dielectrics. EPL, 118, 34003. http://iopscience.iop.org/article/10.1209/0295-5075/118/34003. A further test of QI using the emdrive, taking account of the dielectrics in them.
McCulloch, M.E., 2017. Galaxy rotations from quantised inertia and visible matter only. Astrophys. & Space Sci., 362,149. https://link.springer.com/article/10.1007/s10509-017-3128-6. Shows QI predicts galaxy rotation perfectly without the need for dark matter. It also predicts that galaxies at high redshift should spin faster for the same apparent mass: a good test of QI since no other theory predicts that, and observations now tentatively show this is the case. ****
McCulloch, M.E. and J. Gine, 2017. Modified inertial mass from information loss. Mod. Phys. Lett. A., 1750148. http://www.worldscientific.com/doi/abs/10.1142/S0217732317501486. An attempt to derive QI from a conservation of information (an improved sequel is coming..).