The one-way speed of light

One train. Two stories about light.

A train races along at half the speed of light. Inside it, a pulse of light bounces from the back wall to the front and back again. In both theories the round trip comes out at exactly the speed of light, for everyone. They disagree only about the one-way trip: Einstein says light goes at c each way, Density Field Dynamics says it is slower going forward and faster coming back, and no measurement on the train can tell which is right.

One scene, two theories, two seats

Pick a theory. Pick a seat.

Theory
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The pale blue dust is the density field ψ that DFD says fills space, at rest in the cosmic rest frame (the frame of the cosmic microwave background); Einstein’s picture (the lower panel when the two run side by side) has no such field. Light is slowed down hugely here so you can follow it: one carriage-length takes two seconds. Times shown are for that slowed-down light. The amount the train shrinks and its clock slows are drawn to scale for the speed you pick.

The whole story in one chart

Same numbers. Different reality.

The train at 0.5cDensity Field DynamicsEinstein’s relativity
Is there one true “now” across the universe?Yes. One universal clock, and a real rest frame for the field that fills space.No. Every moving observer has their own “now”, and all are equally valid.
Two-way speed of light: there and back, timed on one clockc, always, for everyone. The same as relativity.c, always, for everyone.
One-way speed of lightNot always c. It is c only at rest in the medium. For the passenger at 0.5c: 0.67c forward, 2c back.c in every direction, by the choice of how clocks are set.
On the platform: light going forward, light coming backc and cc and c
On the platform: how fast the light closes on the front wall, and on the back wall0.5c, then 1.5c0.5c, then 1.5c (closing speeds on the platform’s chart, not speeds of light)
For the passenger: light going forward, light coming back0.67c, then 2c, with the passenger’s own rulers and clocks set to absolute timec, then c, by definition
For the passenger: the round trip (two-way)Exactly c. The same time on the train’s clock as in relativity.Exactly c
The train’s clock runs slowReally. It is moving through the medium.Relatively. Each side sees the other’s clock slow.
The train gets shorterReally. Its rulers shrink with it, which is why the passenger can’t see it.Relatively. Whoever moves looks shorter to the other.
Can the passenger detect the uneven split?No. Every way of setting the clocks at the two ends hides it.There is nothing to detect.
GravityLight and clocks slowed by a density field. Space itself stays flat.Spacetime itself curves.

The two columns never disagree about anything a measurement can show. On the platform, both say light moves at c both ways while the train chases it. On the train, both say the round trip comes out at exactly c. They disagree only about the half that no one can measure: the speed of light one way, and whether the slower clock and the shorter train are real effects or a matter of viewpoint.

Why nobody on the train can check

To time one leg, you need two clocks.

To clock the light going forward, the passenger needs a clock at the back wall that starts the stopwatch and a clock at the front wall that stops it. The two clocks have to be set to the same time first. That is where the trouble starts.

Set them with a flash of light, and you have assumed the very speed you wanted to measure. Set them side by side and carry one slowly to the front, and in DFD the carried clock runs slow on the way by exactly the amount that hides the uneven split. Every method anyone has found does the same: it hides the difference perfectly. Only the round trip, which needs a single clock, is measurable, and it always gives c.

That is why Einstein was free to declare that light goes at c in both directions for every observer. It was a choice of how to set clocks, not something he measured. The DFD monograph says this plainly: the one-way speed is real, but no clock, rod or light signal confined to a laboratory at fixed ψ can measure it.

Think of a river nobody can see, with a boat on it. Swimming upstream is slower and swimming downstream is faster, but every round trip takes the same time, and the boat’s own watch and tape measure change just enough to hide the difference. DFD says the river is real. Relativity says there is no river.

If DFD is right

What the river would mean.

Time

One clock for the whole universe

There is a real “now” everywhere at once, and a real rest frame: the frame in which the cosmic microwave background looks the same in every direction. Moving clocks really do tick slower, and moving rulers really are shorter, because they move through the field.

Gravity

Slowed light, flat space

Near a mass the field ψ is denser, light slows down by the factor n = eψ, and clocks and rulers change with it. Bending of light, the delay of radar echoes and the slowing of clocks in gravity all follow from that one rule, with the same values relativity gives. Space itself stays flat.

Spinning planets

Frame dragging, explained

A moving medium drags light along with it, as Fresnel worked out in 1818 for moving glass. If each body carries its own share of the slowing as it moves, a spinning Earth drags light and gyroscopes around with it. DFD derives the effect this way, and its size equals relativity’s. The LARES-2 and LAGEOS satellites measure it to about 0.2 percent.

Cosmology

Clocks in different eras

If a second is not the same unit in every era, comparing a ruler laid down by the early universe with clocks made of today’s matter is a trip between clocks. DFD reads the two measured expansion rates, about 67.5 and about 72 km/s/Mpc, as one universe on two clocks. That is a stated postulate, and the size of the gap is not yet derived.

How it can be tested

Not on the train. Out in the universe.

If the one-way speed of light can’t be measured in any laboratory, how could anyone ever tell the two stories apart? Not by experiments inside one frame, and not by bending of light, radar delays or gravitational redshift either: for a given mass, DFD gives exactly the numbers relativity gives. The difference has to show up where the field ψ does something relativity has no counterpart for.

By 2028

The expansion rate, measured without old rulers

DFD predicts that local tools which use no early-universe ruler and no Cepheid stars (tip-of-the-red-giant-branch and carbon-star distances, water masers, gravitational-wave sirens, lensed time delays) converge on 72.09 km/s/Mpc, the value on clocks made of today’s matter. A one-clock universe says they must come down to the early-universe value of about 67.4. The test and its pass and fail lines were written down and frozen before the data date.

Now

How galaxies spin

At very low accelerations the field’s response changes, and stars at the edges of galaxies orbit faster than their visible mass allows. DFD gets the tight link between a galaxy’s visible mass and its orbital speeds from that response, with one acceleration scale, a0 = 2√α cH0, set by the expansion rate and the fine-structure constant, and with no halo needed for the rotation curves. In relativity the same curves need a halo of dark matter around each galaxy.

Next decade

The same acceleration, earlier in time

If a0 is tied to the expansion rate, it should have been larger when the universe expanded faster. Measurements of distant galaxies so far disagree with each other, so this test is open.

On the train, the two stories are indistinguishable. The universe is where they part ways.

DFD and relativity give identical numbers for every laboratory and solar-system test, so nothing on this page proves one over the other. The one-way speed of light is real in DFD but cannot be measured by any clock, rod or light signal confined to a laboratory at fixed ψ. The frame-dragging derivation rests on one stated premise, that each body carries its own share of the field’s slowing as it moves. The two-clock reading of the expansion rate is a stated postulate, and the size of the gap is not yet derived. The animation is a picture: light is slowed for the eye, while the shrinking and clock rates are to scale. The full treatment is in the monograph (the optical-metric and post-Newtonian sections, and the appendix on the two clocks).