The Spacetime Metric

Anywhere on Earth, in minutes, in silence

A vehicle that ejects nothing, fights no inertia and does not care whether it is in air, water or orbit turns every roof and field into a port — and turns the whole apparatus of runways, roads and shipping lanes into an option rather than a requirement.

The picture to keep: the vehicle is there, and the infrastructure is not. No strip, no quay, no rails, no sound — just a field and a morning.

The capability this page assumes
A field drive with no reaction mass and no exhaust, inertia cancelled so acceleration costs the occupants nothing, powered by a sealed vacuum-energy device, and transmedium by construction — air, sea and orbit with no transition penalty, exactly as the orbs are observed to behave.
Horizon: Certified vehicles within a decade of the first device that leaves a bench under its own force; the measurements that decide the date are running now in named laboratories.

This page assumes the endpoint of the thesis: a sealed source drawing power from the vacuum, a drive that works by manipulating fields rather than by throwing mass backwards, and inertia cancelled rather than endured. The headline change is that any two points on Earth are minutes apart and the vehicle is at home in air, on water and in orbit without changing anything about itself. The deepest change is that geography stops sorting the world into centres and peripheries, because being far away stops costing anything at all.

Put it to work

What changes when the load, height or speed changes?

Move a payload: change the inputs

0.33 kWh of mechanical energy: 0.27 for height and 0.06 for speed.

Show the calculation

Lift energy = mass × gravity × height. Kinetic energy = ½ × mass × speed². Divide joules by 3,600,000 for kWh.

Classical mechanical bookkeeping, starting from rest near Earth at standard gravity. Drag, propulsion losses and the return journey are additional.

NIST: joules and kilowatt-hours

The capability we assume

Assume a vehicle that pushes against nothing at all.

One control on the instrument below does nothing, and that is the physics this page rests on. Steady speed changes the reading not at all; only acceleration breaks the symmetry of the field. That is what it means to say inertia is cancelled rather than endured.

Before you move anything — what do you expect?

Optional, and there is no score. The instrument below works exactly the same whether you answer or not.

Set the body moving at a steady nine-tenths of the speed of light, with no acceleration at all. What do you expect the vacuum response to be?

Accelerate, and feel the field push back

Two controls, and only one of them does anything. Set the body moving at any steady speed you like and the vacuum looks exactly the same to it — the zero-point spectrum is the same in every frame moving at constant velocity, so the response is zero, not small. Then add acceleration. Now the field the body meets is lopsided, and the proposal this chapter is built on says that lopsidedness is what we have always called inertia.

Accelerate, and feel the field push back
The field around the body, and the temperature its acceleration gives itThree panels. On the left, a body with the vacuum drawn around it as rays reaching in from every side: at steady speed the rays are the same length all round, and as the acceleration rises they lengthen on the side the body is being pushed toward and shorten behind it, so the drawing becomes lopsided. In the middle, the Davies-Unruh temperature plotted against acceleration on logarithmic axes — a straight line rising across twenty-four decades, marked at everyday gravity, at the acceleration of the classical Bohr electron, and at the acceleration it would take to reach one kelvin. Across the bottom, two response traces on one time axis of ten seconds: the body coasting at a steady speed lies flat on zero the whole way, and the body given a push between the third and sixth seconds rises and falls with its acceleration and returns to zero while its speed, drawn faintly, stays at the new value it gained.
  • Coasting at a steady speed
  • Given a push, then coasting again
  • The pushed body's speed
Both bodies are watched over the same ten seconds. The coasting one holds a steady speed and its trace lies flat on zero the whole way across — not nearly flat, flat. The other is given a smooth push between the third second and the sixth, and its trace rises and falls with the acceleration and with nothing else. Watch what happens after the push stops: the body is now moving faster than it was and keeps moving faster, and its response is back to zero. Inertia answers to the acceleration, and a drag intuition, which answers to the speed, would have kept that second trace up.The response traces are drawn as a fraction of the pushed body's own peak, and the faint speed curve is on the drawing's own scale, because the pair is here to show the shape in time rather than to quote a speed. The push itself is a chosen motion programme — the gentlest one, starting and ending at zero acceleration — not a measurement.The lopsidedness on the left is drawn on the drawing's own scale, because a real asymmetry spanning twenty-four decades of acceleration cannot be shown on one page. What is physical in it is the monotonic part: no acceleration, no asymmetry.Nothing here moves on its own. The drawing changes only when you move a slider.What to watch: the correlation function underneath the 1994 derivation. Yefim Levin worked that calculation line by line in Physical Review A in 2009 and reports that the force remembers the whole history of the motion and that the non-relativistic correlation function used implicitly is not the right one. The settling measurement is the measured vacuum field correlation function in an accelerated or rapidly switched frame, plotted against the two published candidates, with the crossover frequency stated. Until that plot exists, the shape of these two traces is what the proposal rests on and the size of the effect is an open calculation.
Response to the steady speed:
exactly zero, at any speed
Davies-Unruh temperature:
3.98E-20 K
Reaction force opposing the acceleration:
9.81E0 N
The coasting body's response, at every moment:
exactly zero, throughout
The pushed body's response at the peak of the push:
9.81E0 N
The pushed body's response once the push has stopped:
0E0 N

At this setting: Nothing you do with the speed control changes anything, and that is the physics rather than a limitation of the drawing. The zero-point spectrum is the same in every frame moving at constant velocity, so a body coasting at any speed meets a field that looks isotropic to it.

The acceleration control is the one that does the work. The temperature rises in exact proportion to it, and the reaction force rises with it too — which is the law this proposal is trying to explain rather than replace.

Where the marks come from

  • Everyday gravity at the Earth's surface, 9.80665 metres per second squared by definition — a Davies-Unruh temperature of about four hundredths of a billionth of a billionth of a kelvin
  • The classical Bohr electron, whose centripetal acceleration gives about 367 kelvin — the number the zero-point-field inertia literature quotes to show the effect is not always tiny
  • One kelvin of Davies-Unruh temperature needs an acceleration of about two and a half times ten to the twentieth metres per second squared, which is why nobody has read this thermometer directly

The MICROSCOPE measurement

MICROSCOPE compared titanium and platinum test masses in orbit. Their measured accelerations agreed within a few parts in ten to the fifteenth.

The Davies-Unruh temperature is settled physics, and the proposal that this asymmetry IS inertia is peer-reviewed and still open: later work by the authors and by others found the original derivation incomplete, and no measurement has yet shown inertia changing this way. The correlation function underneath the derivation is exactly the open question the frontier programme names. What to watch is a suspended-mass inertia measurement inside a conditioned electromagnetic field, with the field configuration published.

Not a cleaner engine. Not a better battery. A drive with no exhaust and nothing thrown backwards, because the force comes from the vacuum itself. Charles Chase, formerly of the Skunk Works revolutionary-technologies division and now chief technology officer of the UnLab, describes the device he is building: electrons tunnel through a barrier they have no business crossing, the vacuum fluctuations couple to that tunnelling current, the asymmetry engineered into the diode gives them a preferred direction, and the result is a unidirectional force. The electrons pull the zero-point energy through with them.

The second mechanism is the same idea with a different handle: twist the phase. An undulator forces a beam onto a path carrying a coherent vector potential, and a beam conditioned that way produces a phase gradient that mimics the frame dragging of a rotating mass — turning an electromagnetic beam into a gravity beam. That the vector potential controls phase is settled physics, from Aharonov and Bohm in 1959 to Tonomura's confirmation in 1986; the vector potential course is the on-ramp.

Assume inertia is cancelled rather than endured. If inertia is the vacuum's reaction to acceleration — Haisch, Rueda and Puthoff, Physical Review A, 1994 — then a craft that conditions the vacuum around itself does not have to pay for changing direction. That is the stated purpose of the US Navy's Craft using an inertial mass reduction device, US patent 10144532B2, whose method is rapid acceleration and vibrational transients of charged matter, and which the then chief technology officer of the Naval Aviation Enterprise told the patent office was operable.

Assume the power is sealed and inexhaustible — the energy page's subject. Chase's memory of the Lockheed compact fusion programme is the picture to hold: an aircraft that never lands to refuel.

And assume the combination is buildable, because something already behaves exactly like it. The orbs described throughout this site are transmedium — air, water and vacuum with no transition penalty, because a craft with no reaction mass and no effective inertia has no medium-dependent drive to swap over. Jack Northrop, founder of Northrop, listed the observables on camera in 1974: hovering, very rapid acceleration, very high speed, and no sonic booms. A 2021 US gunship report over the Gulf of Oman describes small cold orbs holding a few feet above the water and then departing rapidly and perfectly level, with no means of propulsion observed. Passive infrared cannot supply range, so the sizes and speeds in that report rest on an assumed distance — worth saying plainly, and it leaves the kinematics untouched.

The physics is taught here: Chapter 8 for inertial mass reduction, transmedium flight and the electromagnetic route to conditioning the vacuum, Chapter 11 for gravity control, and the quantum phase and coherence course for the state of matter these devices act on.

First-order effects

Fuel leaves the vehicle entirely. Every ship, aircraft and lorry today is partly a container for what it burns. Take that out and what remains is structure, payload and a sealed brick that never runs down. Aviation and shipping stop emitting — not because they burn something cleaner, but because they burn nothing.

Infrastructure stops being a precondition for arriving. A runway is kilometres of engineered ground; a container port is a decade of dredging. A craft that lifts vertically in silence needs a flat place and clearance overhead — a roof, a field, a quayside, a forecourt. Roads and airports become optional, which is a bigger change than their disappearance.

Journeys become minutes. With no reaction mass to budget and no inertia to survive, acceleration is not limited by what the structure and the passengers can take, so any two points on Earth are a short trip. And where the metric itself is engineered, the same rule as the space page applies: the distance, not the speed, is what changes.

The modes collapse into one. Road, rail, sea and air exist as separate systems because each solves a different physical problem. A transmedium vehicle solves all four, and the handoffs between modes — a large share of what logistics actually costs — stop being necessary.

The world goes quiet. No combustion, no propeller wash, no rotor slap, no sonic boom. The noise floor of a city is mostly engines, and so is the countryside's.

Second-order effects

The great transport structures become heritage. Ports, airports, motorways and freight rail are among the most expensive things societies build. They keep working and stop being load-bearing, and what becomes of that land is one of the century's largest planning questions.

Fast and slow freight converge on one price. Air freight costs on the order of fifty times sea freight per tonne-kilometre, which is why almost everything you own arrived slowly. When both are the same negligible energy bill, fast is the default, and perishables, medicines and spare parts change economics on the same day.

Inventory becomes a choice. Warehouses exist because goods are slow and shipping is lumpy. When anything can arrive from anywhere within the hour, the buffer is speed rather than stockpile.

Land re-prices everywhere at once. Property value tracks access, and access has always meant proximity to a corridor. A world in which a remote valley is ten minutes from a capital re-prices essentially all land.

Third-order effects and beyond

Remoteness stops being a sentence. For all of history, being far from a trade route has meant being poorer and less visible. That penalty dissolves — not compensated by a programme, but removed at the cause.

Cities loosen without emptying. Density exists partly because moving people is expensive. Free movement makes dispersal possible, but people gather for reasons that have nothing to do with transport. The result is not the death of the city but a metropolitan field with open country inside it.

Orbit becomes an ordinary destination. The same vehicle that crosses an ocean carries on going. There is no second machine to build, no staging, no separate industry — which is why this page and the space page are one subject, and why the first commercial field-drive fleet is also the first solar-system fleet.

Distance stops organising life. If a grandmother is ten minutes away, families reorganise. If a specialist hospital is reachable from everywhere, medicine reorganises. Over a generation that reshapes what a community is.

A day in that world

The first thing she notices, every morning, is that she can hear the sea.

She teaches on an island of four hundred people. Until three years ago the mainland meant the ferry, twice a day, ninety minutes each way if the weather agreed, and a dentist's appointment was planned like a small expedition.

Now the shuttle sits on the apron behind the school, a smooth grey shape about the size of a minibus, and it goes at ten past seven. Boarding is undramatic. The floor takes on a faint firmness, the light through the window shifts, and the island tilts away below with the harbour wall drawn in white. There is no roar and no push — nothing presses her into the seat, which is the part her father still refuses to believe.

Six minutes later she is on a roof pad in the market town, walking down a stair into ordinary noise.

At the depot on the edge of town the freight comes in all morning. She watches one settle onto its pad while she waits for coffee: no ground crew running, no bowser, no smell, no heat coming off it. It was on the other side of the world before dawn, and part of that trip was above the atmosphere, which nobody mentions because nobody has to. Crates off, crates on. It lifts, and the pigeons on the roofline do not move.

Coming home she carries a box of glassware for the science room, ordered the previous evening from a workshop she will never visit.

The shuttle sets down at half past four. Her students are on the wall by the apron, doing nothing in particular, and behind them the hill is bare — no pylons, no strip, no road cut. The engine of the world has gone quiet, and the only sound on the walk home is the sea and her own shoes on the gravel.

Numbers that change

The same quantities, side by side

Every line above is one quantity read twice: what it is today, and what it becomes in the world this page assumes. Here they are in two columns, so the pairs can be compared instead of remembered.

Which quantities to show
How many of this page's quantities go to zeroA row of small squares, one for each quantity in the table. The filled squares are the quantities that go to zero in the world this page assumes; the outlined squares are the ones that change in some other way.
  • Goes to zero
  • Changes some other way
The same quantities, side by side
QuantityTodayIn the world this page assumes
Reaction mass carriedGoes to zeroA long-haul airliner gives roughly a third of its take-off weight to fuel, and a container ship burns hundreds of tonnes a day.None. The craft carries no propellant whatsoever, which is what puts vacuum-fluctuation propulsion at the top of Chase's propulsion-efficiency comparison.Say it as no reaction mass at all; that is the real and remarkable claim.
Ocean crossing timeTwo to three weeks by container ship at around twenty knots.Minutes. The limit is no longer fuel, structure or what a body can take.
Ground footprint per departure pointA major airport occupies square kilometres and takes a decade to build.Roughly a tennis court and a few weeks of concrete. Vertical lift removes the runway, and the runway is most of what an airport is.
Reach in the first hour of an emergencyA helicopter's golden hour covers perhaps a hundred and fifty kilometres from base, weather permitting.The planet.
The size of the engineering jobEric Davis's stiffness of spacetime is of order 10²⁵ in SI units, against about 2×10¹¹ pascals for steel, and against Jordan Maclay's published dynamical-Casimir craft at about 10⁻²⁰ metres per second squared. No sheet in this library carries the figure.Three orders available from heating and plate arrays, four more from parameter choice, and Chase's roadmap naming the rest of the gap without flinching.
This is a consequence table, not a measurement. It assumes the capability stated at the top of this page and follows it out; the physics under that assumption, and how far each link has travelled, is taught in the chapters and courses listed there.

On this ledger: 1 of 5 quantities go to zero. The other 4 change without disappearing, which is the half of this page that is easiest to misread.

What it would take

A device that leaves the bench under its own force. Chase's asymmetric-nanostructure cantilever deflected the hoped-for way, then proved to be contaminated by deposition stress in the film, so no conclusion was drawn — and Sandia National Laboratories is now fabricating the replacements. Force at this scale is measured on torsion balances, where thermal drift and electromagnetic coupling both impersonate signal, so the groups that publish their nulls beside their positives are the ones moving the field.

The rotating-superconductor result, run properly. Li and Torr in 1991, Podkletnov and Nieminen in 1992, Tajmar's cryogenic rings in 2006. The live hypothesis on this site is that the effect depends on angular acceleration rather than rotation rate, and that the replications ramped too slowly. That is a testable refinement with a threshold still to be specified, and specifying it is a piece of work somebody can do this year.

A conditioned-field experiment from the NASA proceedings. Froning and Barrett published Experiments to Explore Space Coupling by Specially Conditioned Electromagnetic Fields through NASA's own Breakthrough Propulsion Physics workshop thirty years ago. The hardware is an undulator, the theory runs back to Whittaker in 1903, and the experiment is waiting for someone to run it well.

Materials. The honest bottleneck, and the engineers say so themselves: the underlying science has been available since Tesla and early relativity, and what holds it back is material science. This page is an invitation to materials scientists as much as to physicists.

Traffic management before the traffic. Millions of craft in the low sky is an air-traffic problem of unprecedented scale, entirely solvable with autonomy, deconfliction and standards, and the most predictable bottleneck here — which makes it the easiest thing to start early.

Stewardship

Write the airspace rules while the sky is empty. Corridors, altitude bands, quiet hours, no-overflight zones over homes and reserves. Designed now they are a framework; designed after a million craft are flying they are a fight.

Certify for failure, not performance. A vehicle held up by an active field needs an answer for what happens when the field stops. Redundancy and minimum safe altitudes over populated ground belong in the first standard, not the fifth.

Protect quiet and dark as public goods. The technology is silent, which is a gift worth defending rather than spending on volume. Noise budgets, dark skies and clutter limits belong in law early, because they are things everyone values and nobody owns.

Keep the sky common. If landing rights, corridors and vehicles concentrate in a few hands, this widens the gap it could have closed. Open registries, affordable certification and public landing pads are the practical answers, and the peace page makes that argument in full.

Guard what difficulty used to protect. Fragile ecosystems, archaeological sites and the homes of people who chose remoteness lose their natural moat when anywhere reachable is anywhere visitable. Access agreements with those communities, before the first craft arrives, are the honest way to handle it.

Signals to watch

The Sandia structures come back clean. New fabrication, the same asymmetric geometry, the deposition-stress systematic removed. A clear deflection in the predicted direction, replicated by a second group, is the measurement that changes the field's state.

Independent replication on a torsion balance. A second group, different hardware, same result, nulls included. Chase's own survey is candid that nothing in this field has yet been independently replicated — which makes the first replication the loudest event available.

Regulators opening a category. When an aviation authority consults on airworthiness for a vehicle class that does not yet exist, serious people expect it to exist.

Skunk Works says something. Chase is not sure Lockheed ever publicly stated it stopped work on compact fusion, and you never know what Skunk Works is really up to. An aircraft that never lands to refuel was the stated goal. Watch that door.

What the numbers on this page rest on

Learn the physics behind it