Electrical voltage is commonly thought of by analogy with water in a pipe as a sort of electrical pressure that pumps electrons through a wire. This page puts the argument that a better explanation is to be found by imagining a river flowing downstream pulled by the force of gravity.

Water can be made to flow in at least two ways:
- Pressure ‘pushes’ the water from behind. Energy is transferred along the pipe from some source to each section of water which is pushed along by a physical force. Water moves down the pressure gradient from high to low pressure. Removal of the pressure source causes all the flow to stop, with the effect moving at the speed of sound.
- Gravity pulls water downstream. In this case each section of water is moved by local forces only and the behaviour of upstream water is irrelevant to the downstream flow. Flow can be stopped by damming up the river but the ‘effect’ here travels downstream at the speed of the flow as opposed to the speed of sound.
There are subtle differences between these two, but which is more appropriate for the flow of electricity? The first is the commonly described mechanism but the second is more consistent with reality.
The pressure analogy
A search for “what is voltage Harvard science” gets me the following results:
- “The force that makes electricity flow; the unit of measure of electric potential” – Harvard Electricity Policy Group – voltage is a force?
- “Voltage is the force that makes electrons flow, or the difference in potential energy between two points in a circuit.” – ambiguous: is it a local force or a global difference?
- “Voltage is measured in volts with a voltmeter.” – voltmeters actually measure current; voltage is calculated not measured.
- “Voltage is the pressure from a power source that pushes charged electrons through a conducting loop.” – No, see here: What is electricity?
- “The force of an electrical current that is measured in volts” – Encyclopaedia Brittanica
This is about as confused as it gets. Is voltage a local ‘force’ that pushes electrons around or is it some pressure difference between two distant points? Does a local force arise from a pressure difference and if so, how?
Voltage is not measured in the same units as force and is hence not a force.
The last in the list reads: “Voltage is the pressure from a power source..” which implies that there is such a thing as (electrical) ‘pressure’ which originates from a ‘source’ and can presumably be transmitted along a wire to affect distant particles. This really needs some justification.
Such statements are easily accepted as true whilst we have in our minds the analogy of water pressure, but such an analogy is simply not valid. In the case of water we know that there is such a thing as ‘pressure’ as we can measure such a thing; a small balloon can be inserted into a pipe and the pressure measured at any place in the flow to give a local pressure reading.
The same procedure cannot be carried out with voltage and this is reinforced by many sources describing voltage as a potential difference between two points. Voltage cannot be measured and isn’t even defined at a single point, only as a difference between two points.
Again, this sounds reasonable until you try to think about it: if voltage is always expressed as a difference then what are the quantities that give rise to such a difference and how do we know they exist? After all we only ever measure one quantity and we conclude the existence of two!
A voltmeter only ever gives one reading and only ever measures what happens inside the voltmeter anyhow; everything else is inferred via the theory.
The flow analogy
In the case of a river flowing downstream, there is no pressure pushing the water from behind, no impact of upstream water on downstream flow. Instead the water moves according to only local (gravitational forces) with each segment having its own ‘power supply’. Local pressure is actually measurable here and remains uniform, close to atmospheric pressure and has little influence on the flow.
Imagine, then, if we did not know about gravity but merely observed ‘flow’ with no apparent driving force; what a tangled web of reasoning we would weave!
The default view of the universe is one of stasis or maybe uniform movement until some force perturbs this and causes a change in such a state. This view has been applied to electricity and the idea adopted that there can be no energy transfer without a motivational force. The resulting framework is a muddled mess.
Hypothesis: Electricity is the flow of electrical field vortices as described by Konstantin Meyl. They have their own intrinsic energy and are hence capable of self-propulsion through a conductive medium. Movement is according to local forces only. They are shaped like ring vortices in electrical wires with most energy carried in the insulating cable. What is electricity?
The vortices carry their energy from A to B and it is the same energy that is used to self-propel along the wire. ‘Resistance’ leads to a loss of energy transmitted and this is dissipated as ‘heat’.
Voltmeters only measure current (flow) and a loss of vortex energy along a wire will be interpreted as a voltage gradient.
Moving electrons have nothing to do with this and are never measured.
Resistors in series
Placing a resistor in a circuit is akin to placing a dam in a stream. Pressure builds up and some water is lost through evaporation or heat in the case of electricity. Overall flow is thus reduced in proportion to energy loss. Electric vortices build up an analogous pressure when entering a resistive material.

Measuring voltage across different resistors gives the expected result. A voltmeter has a large resistance and current will prefer to flow through a bare wire, but place a voltmeter across a resistor and the current will develop a preference for flowing through the voltmeter, leading to increased current within the meter and a consequent increase in the measured voltage.
The voltage has actually been created by the resistance. The voltage is not driving the current but is a consequence of its impedance, much as the pressure behind a dam is the consequence of the flow and not the cause of it.
So which is it?
Tricky. The two theories give similar predictions for different reasons but there are some differences:
Flow geometry. The idea that energy flows in ring vortices predicts certain preferential flow geometries with the magnetic component of the flow thriving in the insulator surrounding a wire and the electrical component moving within the copper core.
This is supported (What is electricity?) by the observations that under-sea cables with too thin an insulating sheath did not perform well at all and by the discovery that the conduction of nerve signals improves with the thickness the myelin sheath surrounding the nerve.
Circular currents. Circular or toroidal currents are reported in living systems (e.g. around the red blood cells) and also in space where they can span distances of many light years (Thunderbolts Project).
This is consistent and natural with vortex theory where the laws of electromagnetism mandate movement of electric fields at right angles to the magnetic component. The field moves under its own steam with helices and toruses being the order of the day.
But how does this happen where a voltage is required to move the electrons and where there is no copper conductor to guide the current? What is the voltage measured from start to finish of this current? On the one hand it must be fairy large to push the current all the way around but on the other the start point is the same as the end point and so the start and end voltages are the same! There is therefore zero voltage drop!
Wikipedia
Wikipedia gives a slightly different definition of voltage. We have:
“Voltage, also known as (electrical) potential difference, electric pressure, or electric tension is the difference in electric potential between two points“
“Electric potential is defined as the amount of work/energy needed per unit of electric charge to move the charge from a reference point to a specific point in an electric field.”
So the idea of ‘pressure’ is preserved but is somewhat contradicted by the second sentence which introduces the idea of movement between two points and the energy required to accomplish this. Electrical ‘pressure’ is not defined at a single point as with water but only by some movement between two points , one of which is arbitrary.
The idea of an electric field has been introduced and voltage is ‘work’ needed to move a charge within that field. This is interesting because previous definitions have defined voltage as the motivational force for moving the charge (electrons) in the first place whereas here it seems to be defined by some other external (hypothetical) force moving the charge against the field gradient.
A charge will move within an electric field anyhow because of electric forces but this does not seem to constitute ‘voltage’.
So which is it? Is voltage a motivational electric field or is it the effort to move charge against such a field.
Further reading does nothing to clarify matters and only adds to the confusion. The Talk Page makes matters even worse with everybody having different opinions on what is going on but with some agreement on the following statement:
“This article is excessively technical. While all the math is relevant in a higher-level mathematical context, to the everyday reader, this article is almost completely useless.“
The river flow analogy revisited
Consider the idea of moving a wooden log upstream as an analogy of moving a charged particle. It requires a degree of ‘work’, of ‘energy’ as the movement opposes the flow and resistance is encountered.
The resistance and the energy required depend almost entirely on the flow characteristics, i.e. the current. In a lowland river, the work required is hardly a reflection of the height difference and nothing to do with any pressure drop.
Try to drag a log through water in a pipe with pressure driven flow and the resistance met is again entirely dependent upon current and has little to do with moving against the pressure.
Try reading Wikipedia again and it seems obvious now that they are using an inconsistent model and have needed to resort to increasingly abstract and unfalsifiable concepts (potential difference, reference points at infinity) to try to patch things together.
‘Potential’ at a point isn’t directly measurable in principle or practice; it has no absolute value at any point in space and cannot therefore be said to represent anything ‘real’. It only exists between separated points and so any real effect attributed to such a quantity is really a case of action at a distance.
So what is voltage?
If we start with something measurable and observable then we should begin by saying:
“Voltage is a measurement of current when a high resistance meter (voltmeter) is placed in parallel to a section of circuit”
This makes it absolutely clear that what is being measured is current, not ‘potential’ and raise the important question as to why different amounts of current will be captured at different parts of the circuit.
For an answer, imagine drawing some current out of a stream by a piece of pipe. The wider the pipe the more current flows through it.
Odd effects will be had when placing the pipe parallel to a dam (resistance); some pressure has indeed built up and this will lead to an increased measurement of current within the pipe, but again, the pressure has been created by the flow, not the flow by the pressure.
Voltage is therefore not at all fundamental but an emergent property of flow characteristics, conductive properties, circuit geometry and voltmeters.
Electricians
Electricians will say that volts is what is measured by a voltmeter and that it is related to current and resistance via the following equation:
Voltage = Current x Resistance
This is fine and will give good results in practice because voltmeters, resistors and ammeters are calibrated in a way so as to give the required answer. All that is ever measured is current within a meter of some sort with voltage and resistance being inferred (calculated) but never directly measured.
The practicality of the equation gives no indication as to the underlying physical mechanism; it does not prove that voltage is fundamental or even pressure-like in nature. The fact that the equation is so reliable means that there is ‘some’ interesting phenomenon at work. The properties emerging from the fundamental physical laws have characteristic behaviours that are repeatable and measurable and it is these which give the impression of being themselves fundamental.
There is no concept of ‘pressure’ at all in the above equation; the whole idea is a matter of interpretation only.
Relevance to blood flow
Popular imagination has it that the blood is pumped around the body by a vast pressure difference created by the heart, but anyone who researches this seriously comes to the conclusion that this is simply not true and that the blood moves around ‘by some other means’ or ‘by means of its own energy’.
The nature of this energy is hitherto unknown but we can take a good guess now that it involves energised ring vortices which move the blood through the arteries according to their own power. Se here: Blood flow and scalar waves
Several researchers have noted that the blood will consistently flow from low to high pressure in the aorta. This is inconsistent with being moved by external pressure (as with ‘voltage’) but entirely consistent with the flow being created by the blood itself in a similar manner to electric currents described above.
Blood propels itself down the aorta before encountering the smaller arterioles. These provide a greater impedance to the blood and so some pressure will build up as with a resistance in an electric circuit.
Again we find that the pressure is caused by the dynamics of the flow and not the other way around.
Summary
A coherent definition of voltage is not easy to find.
The idea of electric current flowing under its own energy seems a likely explanation for the observed phenomena and is supported by the Field Theory of Konstantin Meyl. (Scalar Waves: a first Tesla physics handbook)
Without this electrical ‘vitalism’, there is no originating force in electromagnetic theory and everything must derive from essentially static entities. Electrons are stationary unless moved by the gradients of static fields, but static fields themselves are the product of .. electrons!
Something else must be in play to organise these first charges into a field but the only thing to organise electrons is .. another field! We are in a closed loop without any originating cause or fundamental organising principle.
The idea of an ever moving electric vortex field solves these philosophical problems. It gives a primal cause as consisting of field movement which is distributed throughout the universe and a basic organising principle of vortex flow mandated by internal forces.
Field vortices prefer to move through conductive materials and will self-organise according to local conditions to provide the illusions of electrical pressure, potential, field gradient, current and voltage.
‘Resistance’ is created by local field variations which destabilise the vortices to result in either heat exchange or photon emission with a concomitant loss of energy.













