The advent of high-precision antihydrogen spectroscopy has opened
up the possibility of direct tests with unprecedented accuracy of
some of the most fundamental principles of physics, notably Lorentz
and CPT symmetry and the Einstein equivalence principle. This book
reviews these principles, emphasising their interconnections in
quantum field theory and general relativity and the special role of
antimatter, and explores how they may be tested in current and
forthcoming experiments on antihydrogen. Original research results
relevant to the experimental programme of the ALPHA collaboration
at CERN are presented, together with the implications for
antihydrogen of proposed theories featuring novel `fifth-force'
interactions.
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