<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.svg" display="inline" id="d1e20"><mml:mrow><mml:mi>E</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:mi>m</mml:mi><mml:msup><mml:mrow><mml:mi>c</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math> versus symmetry for Lorentz covariant physics

We present an exact quantum observable analog of the weak equivalence principle for a `relativistic' quantum particle. The quantum geodesic equations are obtained from Heisenberg equations of motion as an exact analog of a fully covariant classical Hamiltonian evolution picture, with the proper identification of the canonical momentum variables as $p_\mu$, rather than $p^\mu$. We discuss the meaning of the equations in relation to projective measurements as well as equations with solution curves as ones in the noncommutative geometric picture of spacetime, and a plausible approach to quantum gravity as a theory about quantum observables as physical quantities including the notion of quantum coordinate transformation.

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E=mc2 versus symmetry for Lorentz covariant physics

Cited by 3 publications

References 15 publications

Lorentz-covariance of Position Operator and its Eigenstates for a Massive Spin 1/2 Field

Lorentz-covariance of Position Operator and its Eigenstates for a Massive Spin 1/2 Field

On locality of quantum information in the Heisenberg picture for arbitrary states

Equivalence principle for quantum mechanics in the Heisenberg picture

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