1. Introduction

This series of articles is devoted to the analysis of stable structural configurations in complex systems, their dynamics, modes of stabilization, and conditions under which change arises. The primary focus is on forms of organization in which no subject exists that possesses complete control over the system as a whole, yet where reproducible behavior, accumulation of structural memory, and directed development can be observed.

The aim of the series is to develop a descriptive and methodologically rigorous approach to the analysis of such systems through the concept of the structural imprint—a stable configuration formed by the system as a result of persistent change and capable of being activated through subjects, carriers, or infrastructural elements. Within this approach, structural imprints are treated as the basic analytical unit, allowing description of both local processes and large-scale subjectless formations.

In contrast to models that rely on intentions, goals, or controlling agents, the proposed approach proceeds from the assumption that the dynamics of complex systems can be explained without recourse to teleological or anthropomorphic assumptions. Changes observed in such systems are interpreted as consequences of configurations of structural constraints, accumulation of misalignments, and regimes of instability, rather than as the result of anyone’s purposeful intervention.

The series unfolds this framework sequentially: from a foundational consideration of subjectless structures and methodological limits of interpretation to the analysis of living systems, territories, cultural formations, religious, economic, governmental, and digital structures, as well as to the description of stable subjectless information-field systems (SSIFS).

Particular attention is paid to mechanisms of calibration, loss of coherence, and the role of unstable regimes as sources of dynamic change. It should be emphasized that the present series does not claim to construct a universal theory or a predictive model. Its task is to propose an instrument of description and distinction that helps avoid typical interpretative traps and allows more precise fixation of structural processes occurring in complex systems of various kinds.

The proposed approach is addressed to specialists in related fields—complex systems physics, biology, anthropology, sociology, cultural studies, and consciousness research—and presupposes attentive and sequential reading. Many concepts are introduced gradually and acquire precise meaning only within the context of the entire series.

2. Subjectless Structural Configurations in Complex Systems

2.1. Rejection of a Controlling Subject

Within the present approach, complex systems are treated as structures capable of functioning, reproducing, and changing without the presence of a subject possessing holistic control over the system. The absence of such a subject does not imply the absence of participants, processes, or local influences, but it excludes the existence of a decision-making center determining system-wide dynamics.

Such an understanding contradicts the intuitive expectation of controllability deeply rooted in human experience. However, it is precisely this expectation that becomes a source of methodological error in the analysis of complex systems, as it leads to the search for intentions, goals, and control mechanisms where they are structurally absent.

Crucially, rejection of a controlling subject is not an abstract philosophical assumption. It is necessary for correct analysis of system change, since assuming the existence of a controlling subject automatically shifts interpretation toward intentions and managed interventions that cannot function as causes of dynamics in subjectless configurations.

2.2. Subjectlessness as a Structural Property

In this context, subjectlessness is understood not as the absence of acting elements, but as the absence of a subject possessing structural completeness of control over the system as a whole. A system may include many active participants, mechanisms, and processes, yet none of them—individually or collectively—performs the function of a decision-making center in a systemic sense.

The behavior of a subjectless system is shaped not by participants’ intentions, but by the configuration of stable constraints, connections, and structural imprints fixed within the system as a result of its prior dynamics. It is this configuration that determines the range of permissible states and directions of change.

Such an understanding of subjectlessness makes it possible to avoid anthropomorphic interpretations and to treat the system as a self-reproducing structure whose dynamics are determined by internal relations among elements rather than by external control.

2.3. System Behavior as an Effect of Configuration

In subjectless systems, behavior cannot be explained through goals, intentions, or decisions. It is an effect of the current configuration of structural imprints, their relative positioning, and their degree of stabilization.

In some descriptions, the term “field” is used to denote the distributed nature of influence. Within the present approach, this term is not employed in an ontological sense. Such descriptions should be understood as indicating a distributed configuration of active structural imprints rather than as referring to an independent entity.

Accordingly, changes in system behavior should be interpreted not as the result of someone’s influence, but as consequences of redistribution, activation, or weakening of individual imprints within the overall configuration. Even stable and repetitive system responses do not indicate the presence of a controlling mechanism, but reflect the degree of stabilization of the current structure.

2.4. The Illusion of Control and Observer Error

One of the key traps in the analysis of subjectless systems is the illusion of control that arises for the observer when encountering stable and reproducible configurations. Repetition of responses and predictability of system behavior are interpreted as signs of controllability, despite the absence of a controlling subject.

This illusion is reinforced under conditions of structural stability, when the system reproduces the same configurations over extended periods. The observer tends to attribute purposefulness or the existence of a hidden control mechanism to this stability, leading to systematic interpretative errors.

Thus, the illusion of control arises not as an individual cognitive error, but as a structural consequence of attempting to interpret a subjectless system in terms of subject-based control. These errors will be examined further as a distinct class of methodological traps.

2.5. Interim Summary

The absence of a controlling subject in complex systems does not imply chaos or arbitrariness of ongoing processes. On the contrary, subjectless systems are capable of demonstrating a high degree of stability, reproducibility, and structural coherence due to fixed configurations of imprints and constraints.

Recognition of subjectlessness is a necessary step for correct analysis of system dynamics, its unstable regimes, and the limits of possible intervention. Without this step, further analysis will inevitably be distorted by the search for intentions, goals, and controlling agents where they do not structurally exist.

3. Unstable Regimes and the Limits of Intervention

3.1. Instability as a Normal Mode of Existence

In the analysis of complex systems, instability is traditionally treated as a deviation from the norm, a sign of malfunction, or a consequence of external influence. Within the present approach, a different interpretation is proposed: instability is a normal and inevitable mode of existence of subjectless systems.

In systems lacking a controlling subject, stability cannot be maintained through intentions, purposeful correction, or conscious preservation of structure. For this reason, any change in conditions, accumulation of internal tensions, or redistribution of structural elements inevitably leads to shifts in system configuration. Instability in this context should be regarded not as an exception, but as a natural state of dynamic equilibrium.

It is precisely the rejection of subject-based control, established in the previous section, that allows instability to be treated not as a defect but as a structural consequence of the mode of existence of complex systems.

3.2. Windows of Instability and Expansion of Variability

Instability in complex systems manifests unevenly. Alongside long periods of relative stability, windows of instability arise—temporal intervals during which the system loses the rigidity of previously stabilized configurations. During such periods, the space of permissible states expands. Previously dominant structural imprints partially weaken their influence, enabling the system to realize alternative configurations that were previously inaccessible or suppressed. It is important to emphasize that windows of instability do not create arbitrariness: changes remain constrained by the current state of the system, its archived structures, and environmental conditions.

In this first part, the concept is introduced as a key dynamic mechanism that will be examined and developed in detail in subsequent articles of the series.

3.3. Limits of Intervention in Subjectless Systems

Understanding instability is directly linked to the question of intervention. In subjectless systems, any influence cannot be treated as a linear cause of change. Intervention does not control the system but merely interacts with the current configuration of active structural imprints.

The effectiveness of intervention is determined not by its intensity, but by timing and structural context. In stable regimes, the system compensates for external influences, returning to reproduction of previous configurations. Under conditions of instability, even minimal influence may lead to noticeable change, as intervention coincides with phases of redistribution of structural priorities.

Thus, the limits of intervention are determined not by the will or competence of the influencing subject, but by the dynamics of the system itself—specifically, by the presence or absence of windows of instability.

3.4. Preliminary Introduction of the Operator Figure

In the context of unstable regimes, it becomes necessary to preliminarily introduce the figure of the operator. At this stage, the operator is understood as a subject possessing heightened sensitivity to changes in system configuration, rather than as a source of control or an initiator of change.

It is important to emphasize that the introduction of the operator is strictly preliminary. The operator does not violate the principle of subjectlessness of the system, does not make decisions on its behalf, and does not control its dynamics. The operator’s role consists in interacting with already existing variability that arises under conditions of instability and in the ability to distinguish moments of structural weakening.

A more detailed analysis of the operator’s role will be provided in subsequent sections of the series; within the present article, it is mentioned only as an announcement of an analytical perspective rather than as a central element of the model.

3.5. Boundedness and Directionality of Change

Despite the expansion of variability in unstable regimes, changes in the system remain directed and constrained. Even under conditions of weakened stabilization, the system does not lose its entire structural memory. Archived imprints, environmental constraints, and previously formed configurations continue to influence possible trajectories of development.

This means that instability is not equivalent to chaos, and windows of instability are not moments of complete freedom. They represent structurally conditioned phases of reconfiguration in which change is possible only within bounds determined by the system’s history and current state.

3.6. Interim Summary

Instability in subjectless systems is not an anomaly but a normal mode of their existence. Windows of instability create conditions for redistribution of structural imprints and the emergence of new configurations, yet they do not abolish structural constraints or the system’s archived memory.

Understanding the limits of intervention and the directed nature of change helps avoid illusions of control and prepares the transition to analysis of interpretative errors that arise for the observer when confronting stability, instability, and the apparent controllability of complex systems.

4. The Operator Figure in the Analysis of Structural Imprints

4.1. Introduction: The Necessity of the Operator Figure

4.1.1. Limitations of Analysis Without a Figure of Distinction

The analysis of complex systems inevitably encounters the problem of analytical position. Once the notion of a controlling subject and an external observer is rejected, it becomes impossible to operate from a neutral viewpoint located outside the system. Any distinction, description, or fixation of structural states requires an included position from which the analysis is performed.

It is in this context that the necessity of introducing the figure of the operator arises. The operator is not a source of system dynamics and is not used to explain system behavior. Its function consists in enabling the distinction and description of structural processes without reverting to subject-centered models.

4.1.2. The Operator as an Element of Description, Not Ontology

Within the Approach to the Evaluation of Structural Imprints, the operator is introduced as an element of description and analysis, not as an ontological component of the system. The system forms structural imprints, regimes of stability and instability independently of the presence of an operator. No structural process requires the operator’s participation in order to arise or be reproduced.

At the same time, the description of these processes is impossible without a procedure of distinction. Thus, the operator is a necessary element of epistemology but not of the system’s ontology. This distinction is fundamental and makes it possible to avoid teleological and anthropomorphic interpretations.

4.2. The Position of the Operator Within the System

4.2.1. The Operator as an Included Element

The operator does not occupy an external position with respect to the system. It is not an observer in the classical sense and is not situated outside the analyzed configuration. The operator is always included in the system and interacts with it as part of it. It is precisely this inclusion that makes the reading of structural imprints possible and, under certain conditions, interaction through connection nodes. At the same time, this inclusion imposes fundamental limitations on the precision of distinction and excludes the possibility of completely separating analysis from the system’s dynamics.

4.2.2. Asymmetry Between the System and the Operator

There exists a fundamental asymmetry between the system and the operator. The system can exist, develop, and reorganize without the operator. The operator, however, cannot exist outside the system, since its functions of distinction and interpretation are always correlated with a specific structural configuration.

This asymmetry emphasizes the secondary nature of the operator with respect to the system and prevents its implicit transformation into a control center or a source of change.

4.3. Micronon-Stability as a Condition for Operator Work

4.3.1. Permanent Micronon-Stability of the System

Complex systems never exist in a state of absolute stability. Even during periods of externally stable reproduction, they retain permanent micronon-stability, expressed in minor fluctuations, misalignments, and shifts in the configuration of imprints.

This micronon-stability is not a crisis and is not equivalent to the windows of instability discussed in other parts of the series. It represents a background condition of the system that ensures its dynamism and capacity for evolution.

4.3.2. Micro-Variability of the Future

The operator’s work is not connected with predicting the future as a fixed event. Under conditions of micronon-stability, the operator has access only to the micro-variability of the future—a set of permissible minor shifts in the system’s developmental trajectory.

The operator does not distinguish future states themselves, but rather ranges of possible change constrained by the current configuration of imprints and environmental conditions. This distinction provides neither guarantees nor control, but allows orientation within the limits of what is structurally permissible.

4.4. Modes of Operator Participation

4.4.1. Reading Structural Imprints

Reading structural imprints constitutes a diagnostic mode of operator participation. In this mode, active and archived imprints are identified, their coherence with the environment is assessed, and zones of tension or misalignment are detected.

Reading does not imply purposeful modification of the system; however, it is not fully neutral. The very presence of the operator and the procedure of distinction introduce a distributed background influence into the system’s configuration.

4.4.2. Connection Nodes as an Interface of Interaction

The operator does not interact with the system directly. Any interaction is possible only through connection nodes already formed by the system in the course of its dynamics. Connection nodes represent structurally determined points of coupling through which the operator may become included in the system’s configuration.

The existence of connection nodes does not imply their availability or activity at any given moment. Their use depends on the system’s regime and the level of instability.

4.4.3. Interaction Through Connection Nodes

Interaction through connection nodes is possible only under conditions of instability. In this regime, the operator becomes included in an existing configuration and may contribute to shifting emphases within the already present variability.

The effect of such interaction is determined not by the strength of influence but by its structural position. Intensification of influence does not increase controllability and is often accompanied by a higher probability of error.

4.4.4. The Error of Mixing Modes

One of the key methodological errors is the mixing of reading and interaction. Treating diagnostic distinction as intervention, or conversely interpreting interaction as neutral observation, leads to personalization of structure and to the illusion of control.

This error underlies most incorrect interpretations of operator activity.

4.5. Types of Operators (by Mode of Inclusion)

4.5.1. The Unconscious Operator

The unconscious operator is included in the system but does not distinguish between modes of participation. Such an operator simultaneously reads imprints and interacts with the system, interpreting emerging effects as system responses to personal actions. This type of operator is prone to personalization and loss of calibration.

4.5.2. The Observer-Operator

The observer-operator functions predominantly in the reading mode. This form of participation minimizes local distortions and is oriented toward diagnostics, although complete elimination of influence is impossible. The observer-operator distinguishes reading from interaction, understands the limits of participation, and recognizes the nature of micronon-stability. Awareness does not confer control over the system, but reduces the probability of interpretative errors.

4.5.3. The Interaction Operator

The interaction operator engages with connection nodes and acts under conditions of instability. This mode is characterized by elevated risks of error and disproportionate effects.

4.6. Ranges of Operator Participation

4.6.1. Lower Range: Distributed Background Influence

In the lower range, operator participation manifests as distributed background influence. It is non-localized, non-directional, and not tied to connection nodes. Such influence does not initiate structural reconfigurations but may affect micro-variability under conditions of micronon-stability.

4.6.2. Upper Range: Localized Node-Based Interaction

In the upper range, influence is localized and structurally bound to connection nodes. It is possible only under instability and is characterized by high sensitivity to the operator’s position within the system.

4.6.3. Absence of a Linear Scale of Influence

There is no linear scale of intensification between the lower and upper ranges. Increased operator activity does not lead to greater controllability and is often accompanied by increased risks and distortions.

4.7. Operator Limitations

4.7.1. Material and Cognitive Inertia

The operator is subject to material and cognitive inertia that limits the speed of adaptation and the precision of calibration. These limitations are structural and cannot be fully eliminated.

4.7.2. Amplification of Errors in Unstable Regimes

Under conditions of instability, operator errors are amplified. The system becomes sensitive to the position of influence, and the consequences of even minor shifts may be disproportionately significant.

4.8. Methodological Boundaries of Operator Application

4.8.1. Where the Operator Is Necessary

The operator is necessary for the analysis, distinction, and fixation of structural imprints. At present, description and investigation of the system are impossible without it.

4.8.2. Where the Operator Is Methodologically Dangerous

The operator becomes dangerous as an explanatory tool of causation, control, or prediction when functions are attributed to it that it does not perform.

4.9. Final Fixation of the Operator’s Role

The operator is an included element of description, but not a source of system dynamics, not a control center, and not a guarantor of outcomes.

4.10. Preparation for the Analysis of Living Systems

The fixed role of the operator makes it possible to proceed to the analysis of living systems, where operator inclusion becomes a background condition rather than an object of separate consideration.