Historical research guide · 0652 · 1998
Inertia as reaction of the vacuum to accelerated motion
Alfonso Rueda · Bernhard Haisch
In one minute
Alfonso Rueda and Bernard Haisch ask what pushes back when a body accelerates. Their 1998 paper removes the 1994 modelled particle interaction from their inertia proposal and starts with relativistic transformation of electromagnetic zero-point fields. In a stationary or uniformly moving frame, they argue, the field is isotropic. In an accelerating frame, it carries a nonzero momentum flux. If an object scatters part of that flux, the paper identifies the opposing force with a contribution to inertia. The derivation produces a coefficient with mass dimensions and recovers both Newtonian f = ma and a covariant relativistic form for forces parallel to motion. The authors relate the result to Sakharov’s induced-gravity conjecture and say that, if correct, it could replace a Mach-style explanation of inertia. It is a proposed account, not a measurement that inertia can be changed.
Connection
This is the cleanest statement of chapter 3’s central move — inertia as the vacuum’s reaction rather than a brute property of matter — because it derives the result from field transformations alone, with no interaction model to argue about. And it is the reason chapter 8 can ask an engineering question at all: if mass is a coupling to a field, a coupling is the kind of thing you might one day change.
From the source
A non-zero zero-point-field momentum flux arises naturally in an accelerating coordinate frame from the standard relativistic transformations of electromagnetic fields, with no ad hoc particle-field interaction model required; scattering that flux yields a reaction force that may be interpreted as the object’s inertia.Abstract; Section 2, final paragraph
In a stationary or uniformly moving frame the zero-point field is perfectly isotropic, so the Poynting vector and momentum density vanish; only under acceleration is it perceived as asymmetric, and the moment acceleration ceases the reaction terms vanish identically.Section 4, opening paragraph and the discussion following Eq. 30
The coefficient the analysis produces has the dimension of mass and a natural reading: the inertial mass of an object is that fraction of the zero-point radiation energy enclosed within its proper volume which actually interacts with it, parametrized by an interaction factor that falls away at high frequency.Section 4, Eq. 30 and the paragraph following it
The derivation yields not only the Newtonian equation of motion but a properly covariant relativistic one — the momentum of the accelerated object comes out in exact agreement with special relativity and the four-force takes the standard form, at least for forces parallel to the direction of motion.Section 5, Eqs. 31 to 33
If correct, this local and causal electrodynamic interaction substitutes for Mach’s principle, and implies that no further mass-giving Higgs-type field is required to explain the inertia of material objects — though extensions to the zero-point fields of the weak and strong interactions may be needed for a complete theory.Abstract, final sentence; Section 6, second paragraph
The approach is related by the principle of equivalence to Sakharov’s conjecture linking the Einstein action to the vacuum, and it answers the large-cosmological-constant objection: it is the effect of the zero-point field on charged particles that would generate gravitation, not the field’s own energy density, which is therefore not equivalent to gravitating mass.Section 1, third paragraph
The way in
https://doi.org/10.1016/S0375-9601(98)00153-4How to cite it
Alfonso Rueda, Bernhard Haisch (1998) Inertia as reaction of the vacuum to accelerated motion doi:10.1016/S0375-9601(98)00153-4