Where Does the Money Actually Go?

What a permanent government spending increase reveals about the gap between textbook economics and economic reality.

Take two dollars of government spending. Both come from the same law. Both pass through the same budget. Both show up in the same economic models as identical inputs. One builds a bridge. The other funds a software system that never gets deployed. The textbook says these two dollars produce the same result. They do not.

This is not a new complaint. Everyone knows waste exists. But the standard economic framework has no way to distinguish productive spending from wasteful spending inside the model itself. The model treats every dollar of government expenditure as a uniform input. It predicts a single outcome. The real world delivers wildly different outcomes from the same policy, and the model shrugs.

Parlay Economics offers a different framework. It tracks where resources go, not just how much enters the system. It measures friction. It distinguishes between productive work and wasted resources. And it uses field mathematics that already existed when economists chose a different, simpler toolkit over 150 years ago.

The 3D field surface for a permanent government spending increase. The rainbow gradient encodes spending levels across the full surface. Traditional economics shows only a single cross-section of this field.

The Textbook Version

When a government permanently increases its spending, the standard model describes four market relationships that all meet at one point. That point is the equilibrium. The spending increase disturbs the equilibrium. The four curves shift and settle. The model finds a new intersection point and declares the analysis complete.

The relationship that balances total spending against the cost of borrowing shifts outward when new government money enters the economy. More dollars chasing goods means either more output or higher borrowing costs. But because this is a permanent change, prices eventually absorb the shock. That spending-versus-borrowing relationship swings out during the adjustment and then settles back to where it started. Meanwhile, the relationships that describe money markets and price levels shift permanently upward.

The same model collapsed to a flat, front-on view. This is what every economics textbook shows: two curves, two intersection points, one arrow. The field behind it disappears.

The entire story gets told with two flat diagrams. Here is the before picture. Here is the after picture. Draw an arrow between two dots. The professor says the economy moved from point a to point b. That is the analytical endpoint. Two photographs of a system at rest.

But the system was never at rest between a and b. It moved through a field. The spending curve did not teleport from one position to another. It swept through every intermediate state, and the equilibrium traced a path across a continuous surface of possibilities. The flat textbook diagram is a projection of that field onto a single plane. It is the same as what happens when you watch circular motion from the side and see a wave. The wave is not the reality. The orbit is.

What Friction Reveals

Parlay Economics starts with a simple equation: total energy equals productive work minus heat loss. E = W - Q. Every dollar that enters an economic system either does something useful or gets lost to friction. The useful part is W. The lost part is Q. And Q breaks down further into internal friction and external friction.

The energy flow for $100,000 entering a system with 15% internal friction and 20% external friction. $65,000 becomes productive work. $35,000 dissipates as heat.

Consider $800 billion in government spending. The 2009 Recovery Act put that amount into the economy over several years. The Congressional Budget Office estimated a multiplier between 0.8 and 2.5. That range means each dollar produced somewhere between 80 cents and $2.50 of total economic activity. A spread that wide is not a prediction. It is an admission that the framework cannot tell the difference between radically different outcomes.

Parlay breaks this apart. Take two actual components of that $800 billion.

$46 Billion in Transportation Infrastructure

Road and bridge projects with direct physical output. Internal friction on these projects ran about 12-18%. That covers regulatory compliance, environmental review, and administrative overhead. External friction was low because the projects used existing procurement channels and employed workers already in the construction labor force. Total friction: about 23%. That means roughly 77 cents of every dollar became productive work. The $46 billion produced approximately $35.4 billion in real economic value. Bridges that carry trucks. Roads that reduce transit time. Infrastructure that compounds over decades.

At a Parlay friction angle near 82 degrees, this sits in the resonance zone where the ratio of productive work to waste heat peaks. The spending-versus-borrowing curve shifted outward, delivered real energy to the system, and when it returned to its original position the money and price curves had permanently shifted to reflect genuinely higher productive capacity.

$27 Billion in Federal IT Modernization

On paper, the same stimulus logic. Government spends, multiplier kicks in, and output rises. In practice, internal friction was catastrophic. Multiple agencies ran parallel procurement processes. Legacy systems failed to integrate. Contractor overhead averaged 40-55% of project value. A later audit found that $4.3 billion went to systems that were never deployed or were abandoned within two years. Internal friction: 48%. External friction from vendor lock-in and proprietary formats: 22%. Total friction: 70%. Only 30 cents of every dollar became productive work. The $27 billion produced roughly $8.1 billion in functional value.

At a friction angle near 162 degrees, this sits in the collapse zone. The spending curve shifted outward just the same. The flat textbook diagram looks identical to the infrastructure case. But the energy dissipated as heat. Prices rose, contractors got paid, the money market adjusted, and the price curves shifted upward. The upward shift represented inflation without real gains. The curves moved the same direction in both cases. Only the field decomposition reveals that one produced wealth and the other produced waste.

The 360-degree friction field. Green lobes mark productive work. Red marks entropy. The infrastructure dollar sits in the green resonance zone (75-105 degrees). The IT dollar sits in the red collapse zone (near 162 degrees). Same spending. Different field positions. Different outcomes.

The Aggregate Illusion

The full $800 billion, weighted across all its components, had an aggregate friction profile around 38%. That implies roughly 62% conversion to productive work, or about $496 billion in real output against $304 billion in waste. The conventional multiplier debate asks the wrong question. Was it 0.8 or 2.5? The answer is that it was simultaneously 3.1 on the low-friction infrastructure components and 0.4 on the high-friction IT modernization components. The aggregate number is a meaningless average that hides two completely different thermodynamic outcomes inside the same policy.

The price data confirms this. Infrastructure-heavy states saw real GDP growth of 2.1-2.8% in the three years after the stimulus, with price increases of 1.2-1.7%. Productive work exceeded entropy, so real output outpaced inflation. States where the stimulus concentrated in administrative and IT modernization saw real GDP growth of 0.9-1.4% with price increases of 1.8-2.3%. Entropy exceeded productive work, so inflation outpaced real gains. Same policy. Same dollar amount per capita. Completely different field positions.

Why Economics Chose the Wrong Physics

Classical economists from Adam Smith through David Ricardo through John Stuart Mill were actually thinking about dynamics. They talked about flows of goods and labor, accumulation of capital, the tendency of profits to fall over time, the mechanics of how trade creates wealth between nations. Those were fundamentally thermodynamic arguments about energy moving through systems, even if nobody had that vocabulary yet. Smith's invisible hand is a field dynamic. Ricardo's comparative advantage is an energy optimization across a system.

Then the 1870s happened. Three economists in three countries independently mathematized economics by importing the framework of static mechanics. They took the equilibrium concept from classical physics, where force balances force at a point, and used it to model markets. Supply equals demand at an intersection. The consumer optimizes at a tangency. The firm produces where marginal cost meets marginal revenue. Every analytical tool resolves to finding the point where two things equal each other and calling it solved.

This was powerful for its time. It turned economics from philosophical argument into mathematical science. But it imported the wrong physics. Static mechanics describes objects at rest. Thermodynamics describes energy moving through systems with friction, entropy, and irreversible processes. Economics is obviously the second kind of problem. Money flows. Value transforms. Friction consumes. Entropy accumulates. Nothing in an economy is ever at rest.

The mathematics economics needed already existed. Carnot published on heat engines in 1824. Clausius formalized entropy in the 1850s. Maxwell's field equations came in the 1860s. Boltzmann connected thermodynamics to probability by the 1870s. All of this predates or runs parallel to the marginalist revolution. The physics of flows, fields, friction, and entropy was available. Economics chose the physics of static balance instead. Not because it fit better, but because it was easier to formalize.

What the Field Shows

A productivity shock to the labor market, rendered as a 3D field. Wages, employment, and productivity form a continuous surface. The textbook shows a single cross-section. The field shows the complete reality.

Every one of these models can be collapsed to a flat view. Hit the Front button and you get the textbook diagram. Two curves, two intersection points, one arrow. Exactly what every student has seen. Then rotate into 3D. Watch the flat curves reveal themselves as cross-sections of a continuous surface. Watch the arrow between a and b unfold into a path across a field.

The student sees that the textbook was showing a shadow. The field was always there. The projection was hiding it.

That is the core argument of Parlay Economics. Not that the old models are wrong, but that they are incomplete. They are projections of a richer reality onto a plane that cannot hold the full information. The three laws of economic motion describe what happens in the dimensions the projection throws away: how intelligence reduces distortion over time, how clarity multiplies base energy, and how the trigonometric field structure determines whether a given action produces wealth or waste.

The difference between a $46 billion bridge program and a $27 billion IT disaster is not visible in any flat model. It is visible the moment you add the friction dimension and rotate into the field. The math was always available. The field was always there. Economics just never looked.

This is the first in a series of columns that will walk through each of the major macroeconomic models and show what the field reveals. Next: what happens when productivity drops and the labor market adjusts.