The Lohmann-Ruchti effect describes a powerful mechanism of internal growth: when depreciable fixed assets are replaced, the depreciation released through the accounting process can contribute to financing additional investments. Under appropriate assumptions, a company can therefore expand its productive capacity without requiring an equivalent increase in external financing.

The underlying mechanism is straightforward, but its dynamic nature makes it difficult to understand from a static balance sheet or a conventional table. The effect unfolds over several investment and replacement cycles.

Three-dimensional visualization can make this process tangible. Instead of seeing depreciation, replacement and investment as separate accounting items, the user can observe how capital is released, reinvested and transformed into expanding productive capacity over time.

From depreciation schedule to investment landscape

The Lohmann-Ruchti effect is fundamentally a dynamic process.

A company initially invests in a fixed asset. That asset is depreciated over its useful life. As depreciation is recognized, cash is effectively released from the original investment, assuming the corresponding cash flow is retained within the business. When assets reach the end of their useful lives, replacement investments become necessary.

Under the model’s assumptions, the replacement process can temporarily create additional investment capacity. If the available funds are used efficiently, the company can acquire more productive assets than it originally possessed.

In a conventional spreadsheet, this requires following several periods and asset generations simultaneously. A 3D visualization can turn these generations into a spatially structured capital system.

Making asset generations visible

One of the strongest advantages of 3D visualization is the ability to display different generations of fixed assets simultaneously.

Each investment can be represented as an object or group of objects. Their position can reflect:

• the year of acquisition,
• remaining useful life,
• depreciation,
• replacement date,
• investment value or
• productive capacity.

The result is an evolving three-dimensional representation of the company’s fixed-asset base.

Instead of seeing only a depreciation schedule, the user can observe the succession of asset generations.

Time becomes a spatial dimension

The Lohmann-Ruchti effect is particularly suitable for a 3D environment because time is essential to the mechanism.

A visualization could represent:

X-axis: investment generations
Y-axis: asset value or depreciation
Z-axis: time or productive capacity

As the model progresses, assets mature, depreciation accumulates and replacement investments occur.

This makes the central dynamic immediately visible: depreciation is not simply an expense; within the assumptions of the model, it can contribute to the financing mechanism of future investment.

Visualizing the reinvestment cycle

The heart of the Lohmann-Ruchti effect is the reinvestment cycle.

A 3D visualization can show the process as a continuous sequence:

Initial investment → depreciation → released funds → replacement investment → additional capacity → further depreciation → further investment

The visual representation can make the feedback mechanism much easier to understand.

Instead of examining separate accounting periods, users can follow the flow of capital through successive asset generations.

From accounting data to productive capacity

Another important advantage is the ability to distinguish between accounting depreciation and economic capacity.

Depreciation reduces the book value of an asset, but the physical asset may continue to generate output. The Lohmann-Ruchti mechanism exploits the difference between the timing of depreciation and actual replacement.

A three-dimensional model can therefore display both:

• the accounting dimension — depreciation and book value, and
• the operational dimension — assets and productive capacity.

This helps explain why the effect is not simply an accounting phenomenon. Its significance lies in the relationship between depreciation, cash generation, replacement and capacity expansion.

Comparing different depreciation assumptions

The visualization becomes particularly powerful when assumptions can be changed interactively.

Users could modify:

• useful life,
• depreciation method,
• initial investment,
• replacement timing,
• reinvestment rate,
• asset utilization,
• growth rate and
• residual value.

The resulting changes in the asset structure could then be observed directly.

This transforms the Lohmann-Ruchti effect from a theoretical calculation into a scenario-analysis environment.

Understanding the limits of the effect

The Lohmann-Ruchti effect depends on restrictive assumptions. In particular, the mechanism works most clearly when assets can be replaced under stable conditions, depreciation corresponds appropriately to the economic use of assets, and the released funds are available for reinvestment.

A 3D model can make these limitations easier to demonstrate.

For example, introducing inflation, changing asset prices, idle capacity, different replacement costs or lower reinvestment rates can alter the trajectory of the model.

The visualization therefore does more than illustrate the theoretical effect. It can demonstrate when the effect weakens or disappears.

Visualizing leverage and financing requirements

The Lohmann-Ruchti effect is also relevant to corporate financing.

A company that can finance a greater proportion of replacement and expansion investments internally may have less immediate dependence on external capital. Conversely, if replacement costs rise faster than internally generated funds, additional financing becomes necessary.

A 3D financial model could therefore combine:

Fixed assets + depreciation + internal financing + external financing + productive capacity

This would allow users to see how the financing structure changes as the asset base expands.

For corporate finance analysis, this creates a bridge between traditional investment theory and financial modelling.

From a textbook effect to a dynamic corporate model

The Lohmann-Ruchti effect is often presented as a relatively abstract textbook concept. Its practical importance becomes clearer when it is visualized as a dynamic system.

A company can be represented as a constantly changing landscape of assets. Some assets are newly acquired, others are depreciating, and others are approaching replacement. Financial resources circulate through this structure and determine the company’s ability to maintain or expand capacity.

The visualization can therefore answer questions such as:

• How quickly can productive capacity expand?
• How much investment can be financed internally?
• When does additional external capital become necessary?
• How sensitive is growth to asset useful lives?
• What happens when replacement costs increase?
• How does the asset structure evolve over several generations?

Bringing the model into immersive finance

Extended Reality can make this dynamic particularly intuitive.

In a VR environment, the user could move through different periods of the company’s development. Asset generations could surround the user, with depreciation and replacement represented as changes in the spatial structure.

A financial analyst could select an asset and inspect its acquisition cost, depreciation schedule, remaining life and replacement requirements. Changing an assumption could immediately alter the surrounding investment landscape.

This creates an immersive corporate-finance model rather than a static diagram.

A spatial representation of internal growth

The fundamental insight of the Lohmann-Ruchti effect is that the financing of fixed assets contains an internal dynamic. Depreciation, replacement and investment interact over time.

Three-dimensional visualization makes this interaction visible.

What appears in a spreadsheet as a sequence of accounting entries can become a spatial trajectory of capital formation. Asset generations can be followed, reinvestment cycles can be observed, and changes in assumptions can be explored interactively.

For Data2Space, the Lohmann-Ruchti effect is therefore an especially suitable example of how classical financial theory can be transformed into an interactive 3D environment. The model demonstrates that 3D visualization is not limited to displaying complex data more attractively. It can provide a fundamentally different way of understanding time-dependent financial mechanisms, capital formation and corporate growth.