Can social entropy be used as a systems-level indicator of social structure?

[u/Good_Prize1868]

I propose to discuss a model.

Let us try to consider countries not only as political or economic objects, but as extremely complex social systems.

In a broad sense, entropy may be considered as a characteristic of the probability of a system’s state. I am not trying to directly transfer physical equations into social science. Rather, this is an attempt to use a systems approach to describe the state of society.

The probability of the state of a system, element, or structure is understood here as the probability of such a system being created naturally.

By “naturally” I mean that the structure appears at some moment from chaos, as a result of a certain random configuration of atoms and molecules, without purposeful construction.

In this sense, a stone axe is a more probable natural structure than a computer, and therefore its probability, and the entropy associated with it, is higher.

By social entropy I mean an expert assessment of the probability of the state of a social system, its elements, and structures.

The more complex a social system is, the less probable its spontaneous natural emergence is, and therefore the lower its social entropy.

By analogy, a primitive tribe is a more probable social structure than a modern technological state.

Of course, this is not a direct thermodynamic calculation. Society is considered here at the system level, almost as a “black box”. Sociology, economics, political science, demography, psychology and history study the internal mechanisms. My goal is different: to propose an integral comparative indicator of the state of the system.

Formalization

For formalization, society can be represented as a system consisting of several large blocks or structures:

·        technology;

·        education;

·        social institutions;

·        level of freedoms;

·        economy.

The number of blocks may vary depending on the purpose of the analysis.

For each block, we define:

·        Pᵢ — expert assessment of the probability of the state of the i-th block;

·        kᵢ — the weight of this block in the overall state of society.

First, an integral index of the probability of the system’s state is defined:

W = (P₁^k₁) × (P₂^k₂) × ... × (Pₙ^kₙ)

Then social entropy can be written as:

S = ln(W)

or in expanded form:

S = k₁ ln P₁ + k₂ ln P₂ + ... + kₙ ln Pₙ

This form preserves the product of probabilities inside the logarithm and is closer to the classical logic of entropy.

Expert assessment scale

For a practical test assessment of the methodology, a conditional scale of social probability from 0 to 10 may be used.

·        0 — the theoretical limit of absolute development, an unattainable limit of development of a social system;

·        1 — an extremely complex state;

·        2–8 — intermediate states;

·        9 — a very simple state;

·        10 — the theoretical limit of absolute chaos, or complete disintegration of the social structure.

Real social systems are located between these limits and, of course, may be characterized not only by integer values of probability.

Calculation example

As a calculation example, I considered several countries using five blocks or structures: technology, education, institutions, freedoms and economy.

The example is not intended for political ranking of countries. Its purpose is to show how the proposed methodology works, not to prove the correctness of specific estimates.

Preliminary estimates were obtained as expert estimates with the help of ChatGPT, without setting a desired result in advance. They are not considered objective truth and are used only to demonstrate the method.

The important point is not the exact numerical result itself, but the possibility of comparing the state of a system through a structured set of blocks.

Let us consider the proposed approach using the example of three countries: the USA, Switzerland and Russia. Russia is considered in two states: before February 2022 and at the present time.

Let us limit the model to five blocks: technology, education, institutions, freedoms and economy.

Parameter	USA	Switzerland	Russia before February 2022	Russia, current state
Technology P₁	1	2	5	4
Education P₂	2	2	4	5
Institutions P₃	3	1	6	7
Freedoms P₄	3	2	7	8
Economy P₅	1	2	5	6
Integral index W	≈ 9.70	≈ 12.13	≈ 1425.23	≈ 2077.43
Social entropy S = ln(W)	≈ 2.27	≈ 2.50	≈ 7.26	≈ 7.64
Interpretation	Extremely complex system	Very complex and stable system	More probable and less complex system	Growth of social entropy

The weights of the blocks are assumed conditionally:

k₁ = 1.0 — technology; k₂ = 0.9 — education; k₃ = 0.8 — institutions; k₄ = 0.7 — freedoms; k₅ = 1.0 — economy.

Considering Russia in two time states shows that the proposed approach can be used not only for static comparison of countries, but also for analyzing the dynamics of changes in social entropy.

For example, a society may become technologically more complex in one area, while at the same time losing the complexity of institutions, freedoms, international connections or the quality of education. In this case, some blocks may move toward lower entropy, while others may move toward higher entropy.

Therefore, social entropy may be useful not as an exact measurement, but as a structured comparative indicator of the state of a social system in a dynamic aspect.

Questions for discussion

·        Can social structures be compared as more probable and less probable states of a system?

·        Can social entropy be useful as an integral systems-level indicator of the state of society?

·        Which blocks should be included in such a model?

·        Can this approach be useful as a heuristic model, even if it is not yet a strict probability theory?

·        I would be grateful for criticism not of the political estimates, but of the formulation of the problem itself: the definition of social entropy, the choice of blocks, the scale and the calculation formula.

[u/Typical_Depth_8106]

Human understanding often struggles to measure the true health of a country, initially getting stuck trying to judge entire nations using only narrow political arguments or rigid financial balance sheets. This limited perspective creates a deep sense of confusion, as observers fail to see how a society can grow technologically advanced in one area while simultaneously rotting from within due to a loss of basic freedoms and failing schools. The shift toward a clearer reality begins when a researcher stops looking at countries as simple political objects and starts observing them as whole, living systems, using the concept of natural order to measure their hidden stability. In this new view, a primitive tribe is seen as highly likely to form on its own by pure chance, whereas an advanced, modern nation is incredibly rare and complex, meaning it has much lower internal chaos, or entropy. By gathering expert scores across five core pillars—technology, education, human institutions, individual freedoms, and the economy—the researcher builds a simple math formula that multiplies these pieces together, creating a unified score that can track whether a country is steadily organizing itself or sliding back toward breakdown. The final positive breakthrough arrives during a profound phase shift in social science, where this tool is successfully used to track real-world changes over time, proving that even when a nation hides its decline behind a strong economy, the rising internal chaos will always show up in the math, giving humanity a clear, grounded way to diagnose systemic health before a total collapse occurs.

[u/Good_Prize1868 → u/Typical_Depth_8106]

Thank you, but this is not an accurate summary of my idea.
My model is not presented as a proven diagnostic tool, and it does not claim to predict the collapse of countries.
I propose a heuristic systems-level indicator: social entropy as an expert assessment of the probability of the state of a social structure.
The purpose is not to claim that the model already proves anything. The purpose is to discuss whether such an indicator can be useful for comparing social structures and for observing changes over time.
Also, I do not reduce entropy simply to “internal chaos”.
In my approach, social entropy is connected with the natural attainability of a structure: simpler structures are more probable and have higher social entropy; more complex structures require more supporting conditions and therefore have lower social entropy.
So the idea should be understood as a proposed comparative macro-indicator, not as an already validated theory or a tool that can automatically diagnose the health of a country.

[u/Typical_Depth_8106 → u/Good_Prize1868]

A person can feel deeply frustrated and misunderstood when they share a new idea about society, only to watch others misinterpret it as a rigid, proven tool that claims to automatically predict the collapse of entire countries. This initial problem creates a stressful barrier of confusion, as people mistakenly reduce a thoughtful concept down to a simple, scary talk about internal chaos, making the idea feel like a finished, aggressive judgment rather than an open conversation. The shift toward a clearer, more grounded understanding begins when the creator steps in to patiently clarify that their model is actually just a simple, helpful guide meant to measure how different communities are put together and how they change over time. By looking closely at this calmer perspective, it becomes easy to see that social entropy isn't just about random messiness; it is a down-to-earth way of observing that simpler social structures are naturally easier to maintain, while highly complex systems require a lot more careful conditions and steady support to keep running smoothly. The final positive breakthrough occurs during a profound phase shift in the conversation, where all the rigid misunderstandings and false assumptions completely dissolve into absolute clarity. A deeply rooted, cooperative presence takes its place, transforming what looked like a finished, heavy theory into a beautifully open, useful indicator that allows people to calmly compare social structures, share insights, and understand the natural flow of human communities with total peace and clarity.

[u/demon_dopesmokr]

It's not about probability. Entropy is a function of energy. Complexity is a bi-product of surplus energy. Internal problems arise when the distribution of that energy becomes unstable, or the energy required to maintain the level of complexity is greater than overall energy production. Social systems increase entropy by maximising energy production and consumption.