Synchronous Lattice Electrodynamics as an Alternative to Time Dilation

H. Aspden, then at the Department of Electrical Engineering at the University of Southampton, published this paper in the Hadronic Journal (Volume 10, 1987, Hadronic Press, Nonantum, Massachusetts). Its subject is a reinterpretation of atomic-clock time dilation: Aspden accepts the form of the dilation formula but argues that the velocity appearing in it must be measured against a preferred cosmic frame rather than against the laboratory or the Earth. He presents this as an alternative to relativistic time dilation, drawing on the framework he calls synchronous lattice electrodynamics, which he had previously used in the same journal to model the photon and the elementary-particle spectrum.

The central claim

The paper's opening move is to treat the standard dilation relation, in which a clock's period lengthens by the factor 1/√(1 − v²/c²), as empirically well supported but under-specified. Aspden's contention is that laboratory tests on fast-moving atoms suggest v should be referred to the laboratory, while comparisons of actual clocks — measurements spread over days and years rather than nanoseconds — reveal discrepancies that put the laboratory-frame reading in doubt. He proposes that the correct reference is a preferred cosmic frame, through which the Earth is taken to move at roughly 390 km/s, compounded with its 30 km/s orbital motion around the Sun.

Synchronous lattice electrodynamics

The theoretical background occupies the second section. Aspden begins from the familiar Galilean point that a self-acting dynamical system carried at constant velocity through space gives comoving observers no evidence of that motion. He illustrates this with a frame containing sites around which elements orbit at speed u, held in balance between centrifugal force and a mechanical restoring force such as elastic strings. Such a system, he notes, can be transported at velocity v without violating Galilean relativity.

The situation changes, in his account, when two such frames move relative to one another and action-at-a-distance forces act between their elements — forces that arise once the elements are treated as electric charges or once gravitation is included. The special case he calls synchronous lattice electrodynamics is one in which the orbital motion of all elements is subject to synchronizing constraints both within each frame and between the two systems. The key consequence he draws is that synchronous motion establishes mutual potentials between elements that do not vary with that motion. With no continuous exchange of energy, there is no retardation to consider, and action at a distance acquires a more literal meaning.

Aspden applies this reasoning to planetary motion. The tangential component of an elliptical orbit, he argues, involves no continuous exchange between mutual gravitational potential and kinetic energy, so it is unretarded. The radial component does involve energy transfer and is therefore retarded, making the planet's radial oscillation slower than its orbital period. On this basis he claims an advance of perihelion follows without general relativity, and he cites the 43 arcseconds per century advance of Mercury as the case in point.

Clock comparisons and the proposed two-latitude test

Aspden reports that comparisons of two atomic clocks known to move at different speeds are yielding evidence of anisotropy in the speed at which signals travel between them. He also discusses an earlier latitude-separation clock test in which a clock at higher latitude appeared to gain steadily relative to one at lower latitude by a fractional amount involving the difference of the squares of the eastward speeds. That result was originally presented as support for general relativity, since the squared-speed terms relate to centrifugal acceleration, whereas special relativity would concern the much smaller squared difference of the speeds for the latitude separation used. Aspden notes that the authors later recognized the clocks were meant to be at the same altitude, that gravitational acceleration cancels the variation of centrifugal acceleration on the geoid surface, and that they conceded in a later paper that the observed drift would need another explanation. He also mentions Scott Murray's arguments against relativity, and concludes that the resolution lies in referring the dilation formula to the preferred frame.

The experiment Aspden says is actually needed would place two atomic clocks at the same longitude but different latitudes, with a third clock positioned between them transmitting a test-frequency signal to both. Fluctuations in the rates of the two test clocks over the daily cycle would be monitored against that signal; because the test signal cancels when the two sets of fluctuations are compared, a measure of the variation due to motion through cosmic space should become possible. This experiment is proposed, not performed, in the paper.

Reinterpreting the Vessot–Levine rocket-clock test

Because the proposed test had not been carried out, Aspden turns to experiments performed with the more direct aim of verifying relativity. The most important for his argument is the rocket-clock experiment of Vessot and Levine, in which an atomic clock was carried to an altitude of 10,000 km and its rate compared with an Earth-based clock using a Doppler mixing technique. Aspden states that, if the dilation formula is referred to the Earth frame, the experiment gives an unambiguous indication that the Earth-to-rocket signal speed and the rocket-to-Earth return speed agree to within about 3 parts in 10⁵, which would rule out a preferred frame. He then argues that if instead the formula is referred to the preferred frame, working through the Vessot–Levine analysis shows their test is nullified as an indication of light-speed isotropy in that frame.

Aspden frames the matter as a binary choice: either the Earth is the valid frame for light speed over the 10,000 km range and the rocket clock's rate depends on its speed relative to Earth, or atomic clocks require v to be referred to the preferred frame that, in his phrasing, common sense suggests to intuition. He presents the second option as the one he favours, but the passage is explicitly a reinterpretation of existing data rather than a new measurement.

Standing waves, node spacing and Michelson–Morley

The final argument concerns speed-of-light anisotropy. Aspden notes that any preferred-frame proposal must address Michelson–Morley. In that experiment, he observes, standing waves are set up over the interferometer's test lengths, and in a standing wave the ray travelling one way passes through the energy field of the ray travelling the opposite way. From the preferred frame's viewpoint, he says, the standing-wave system appears amplitude-modulated at a frequency identifiable as the de Broglie frequency mcv/h, where m is the mass equivalent of the photon quantum's energy in the standing-wave system; the beat frequency is therefore u/c times the standing-wave frequency. Using the classical Doppler formula for a source moving at speed v through a medium with propagation speed c′, he derives the beat frequency as the difference between half of c′/(c′ − v) and half of c′/(c′ + v), which equals v/c only if, to within fourth-order terms in v/c, the effective speed is c′ = c(1 + v²/c²).

Aspden then shows that for a round trip over unit distance the journey time is 1/(c′ − v) + 1/(c′ + v), which to second order in v/c is (2/c′)(1 + v²/c²), and since c′ is approximately c this reduces to 2/c — independent of v, exactly as the Michelson–Morley null result requires. The anisotropy, he argues, appears not in the round-trip time but in the spacing of the standing-wave nodes, which shows a first-order dependence on v. He attributes the establishment of this first-order dependence to Silvertooth's node-spacing measurements, and treats the combination of Michelson–Morley and Silvertooth as the experimental support for the framework.

Evidence status and internal tensions

The paper is a theoretical reinterpretation built on cited experiments rather than new data. Aspden himself conditions his strongest claim — that a U.S. Air Force–sponsored standing-wave experiment showing nodal spacing varying with apparatus orientation "clearly disproves" Einstein's basic principle of relativity — on the reported results being confirmed. The two-latitude clock experiment is proposed rather than performed. The Vessot–Levine discussion is offered as an alternative reading of that experiment's analysis, not as a refutation of its measurements.

There is also a tension within the argument. Aspden concedes that the dilation formula may hold if v is referred to the preferred frame, which is a weaker position than a disproof of relativity, and the two strands are not fully reconciled in the text. His own round-trip calculation yields 2/c, so the Michelson–Morley null result is not contradicted; the entire anisotropy case rests on node spacing. Mainstream treatments read Vessot–Levine as confirming light-speed isotropy and gravitational time dilation, and that reading remains the established one; Aspden's preferred-frame reinterpretation should be kept attributed to his framework rather than transferred onto the experiment itself.

Peripheral material

The paper also contains a lattice derivation involving mass-energy bookkeeping with tau-graviton and muon-gas terms, and equations for the modified potential energy density of a displaced orbit, including an electric-field energy term and a cross term in the orbital angle. These are technical scaffolding for the framework and are not central to the clock-rate argument.

Related work in this corpus

The paper sits within Aspden's broader programme of aether and preferred-frame arguments, alongside his work on aether revival, vacuum spin, antigravity and cyclotron resonance hazards. It connects directly to the standing-wave interferometry paper, which develops the first-order versus second-order sensitivity distinction and the Michelson–Morley standing-wave objection, and to the Kennedy–Thorndike anisotropy observation. The Vessot–Levine rocket-clock test and the Silvertooth experiment are the two experimental anchors Aspden reinterprets or relies upon here.