The universal behavioral model: The homeodynamic paradigm in action

​INDEX

INDEX 3

MY LIFE EXPERIENCE 5

PROLOGUE 7

The disciplinary mosaic and the vision of a universal structure 7

The evolution of a new look 8

Conceptual foundations: Inertia, Influences and successive layers 9

On the road to a universal reconceptualization 10

CHAPTER 1: GENERAL INTRODUCTION 12

1.1. Historical and Observational Context 12

1.2. Hypothesis Statement 12

1.3. Scope and Relevance 13

CHAPTER 2: MOTIVATION AND THEORETICAL FOUNDATIONS 15

2.1. Observation of Universal Phenomena 15

2.2. Precedents and Inspiration 16

2.3. Formulation of the Key Question 17

CHAPTER 3: CONCEPTUAL CORE OF THE HOMEODYNAMIC PARADIGM 19

3.1. Organismic Vision and Concept of Homeodynamic Field 19

3.2. Basal Capacity, External and Internal Influences 19

3.3. The Four Layers of Integration 20

3.4. Feedback Process and Closure of the Local Equation 21

3.5. Role of Irreversibility in the Ed Layer 21

3.6. Conclusion of the Chapter 22

CHAPTER 4: MATHEMATICAL FORMULATION AND NOMENCLATURE 23

4.1. Algebraic Structure 23

4.2. Fundamental Variables and Units 24

4.3. Integration Energies and Their Meaning 26

4.4. Compatibility with Local Laws 26

4.5. Conclusion of the Chapter 27

CHAPTER 5: MULTIDIMENSIONAL APPLICATIONS OF THE HOMEODYNAMIC PARADIGM 28

5.1. Newtonian Mechanics 28

5.2. Electromagnetism (RLC Circuit) 33

5.3. Thermodynamics 39

5.4. Fluids (Viscous dynamics) 44

5.5. Relativity (Special and/or general framework) 50

5.6. Quantum mechanics 55

5.7. Chemistry (Kinetics of irreversible reactions) 61

5.8. Chemistry (Reversible reactions and chemical equilibrium) 67

5.9. Chemistry (Enzymatic kinetics: Michaelis-Menten model) 73

5.10. Biology (Lotka-Volterra type predator-prey model) 78

5.11. Biology (SIR Epidemic Model) 83

5.12. Economy (Friction-based pricing model) 88

5.13. Organization / Management (Business change model with internal frictions) 93

5.14. Finance / Stock Markets (Fundamental price model vs. current price, with informational inertia) 98

5.15. Social Sciences (Public Opinion Model with Social Inertia) 103

5.16. Education (Model for adopting new methodologies) 108

5.17. Psychology (Internal tension model and its resolution) 113

CHAPTER 6: THE HOMEODYNAMIC PARADIGM AS A UNIVERSAL STRUCTURE OF ENERGY TRANSFORMATION 119

6.1. The origin of the proposal: the basic structure of any transformation 119

6.2. A unifying framework for physical laws and beyond 119

6.3. Towards a universal structure for energy transformation 120

6.4. The arrow of time and historical cost: an emergent feature, not a patch 121

6.5. Practical implications and the power to reinterpret laws 121

6.6. An integrative vision towards the future 121

6.7. The interdisciplinary bridge 122

CHAPTER 7: TOWARDS THE EXPANSION AND MATURITY OF THE HOMEODYNAMIC PARADIGM 123

7.1. Linearity 123

7.2. Multiple capabilities 123

7.3. The dynamic equilibrium layer 124

7.4. Changes and noise 124

7.5. Philosophical dimension 124

CHAPTER 8: FUTURE LINES OF RESEARCH AND APPLICATIONS 126

8.1. Integration with complexity and network theories 126

8.2. Nonlinear extensions, discontinuities and chaos 126

8.3. Towards stochastic formalization 127

8.4. Empirical validations and software development 127

8.5. Immediate applications in different fields 128

8.6. In search of a truly universal language 128

8.7. A future open to expansion 128

CHAPTER 9: EPILOGUE AND FINAL REFLECTIONS 130

9.1. The universal thread of transformation 130

9.2. Beyond irreversibility: a framework for interdisciplinarity 130

9.3. An invitation to prudence and responsibility 131

9.4. A message of disciplinary unity 131

9.5. Towards the expansion of the paradigm 131

9.6. Farewell and horizon 132

9.7. Help and collaborations 132

BIBLIOGRAPHIC SOURCES 134

1. Sources of Science and Technology 134

2. Biology, Ecology, Chemistry and Complex Systems 134

3. Economics, Sociology and Organizational Management 135

4. Psychology, Behavior, Philosophy and Spirituality 136

5. Cases of Entrepreneurship, Innovation, Art and Others 136

​MY LIFE EXPERIENCE

Life is not a linear path; it is a continuous process of transformation, learning and evolution. If there is one thing I have learned over the years, it is that our mind is not an isolated entity, but a dynamic system deeply connected to reality. And this connection not only determines how we interpret the world, but also how we shape it. This book and the paradigm I present in it are born from that conviction: understanding the human mind as a dynamic system offers us the possibility of better understanding our reality, and, with it, transforming the world we inhabit.

I was born in Madrid and grew up among different cultures and environments, something that taught me from an early age to observe the world with a plural perspective. Later, my training as a computer engineer and my specialization in artificial intelligence allowed me to delve deeper into the nature of complex systems, from technological to human. These learnings showed me that all systems, whether mental, social or technological, share universal patterns: they respond to stimuli, accumulate memory, transform and evolve in balance with their environment.

Throughout my career, first as a programmer and then as an entrepreneur and leader, I was constantly challenged to understand and optimize systems in different contexts. Working with companies in sectors as diverse as fashion, hospitality, fitness and technology allowed me to observe how internal and external dynamics interact to shape processes and behaviors. Each client, each project, was an opportunity to analyze how systems adapt to the demands of the environment, how they accumulate knowledge and how they face sustainability and efficiency challenges.

But beyond professional learning, the true inspiration for this paradigm came from my introspection and curiosity to understand the human mind. I have wondered for years how our emotions, thoughts and values shape our connection with reality. The mind, in its essence, is a dynamic system that transforms information and energy, accumulating experiences and learning to adapt and evolve. It is a system that, when functioning in dynamic balance, not only connects the person with themselves, but also with their environment and their relationships.

In this sense, the homeodynamic paradigm transcends the personal and professional to offer a universal vision: the principles that govern the human mind—perception, learning, memory, and adaptation—are not exclusive to individuals, but apply to any dynamic system. A company, an intelligent machine, an ecosystem, or even a society can be understood as systems that transform energy, accumulate information, and seek to adapt in balance with their environment. This model not only helps us understand how these systems work, but also how we can design and optimize them to be more sustainable, resilient, and creative.

The development of this paradigm has not been linear. It has been a process of constant exploration, driven by my interest in science, philosophy, technology, and human behavior. Over the years, I have reflected on how emotions and values act as drivers of our decisions, and how, by understanding these dynamics, we can develop more adaptive and conscious systems, whether at the personal, organizational, or societal level.

This work is the result of that journey. It is a synthesis of my learnings, my observations and my experiences. And although it is part of my personal history, it aspires to something bigger: to offer a tool to understand how systems – whether human, technological or social – can evolve in dynamic balance with their environment. Because if we better understand how a system works, we can help it transform, grow and prosper. And, in the end, that is what we all seek: to connect with our reality in a more authentic and effective way.

​Final reflection

The homeodynamic paradigm is more than a mathematical or conceptual model; it is an invitation to look at the world from a new perspective. By understanding that all behavior is a process of energetic transformation in dynamic equilibrium, we can find solutions that not only optimize existing systems, but also help us design a more conscious, connected and sustainable future.

​PROLOGUE

​The disciplinary mosaic and the vision of a universal structure

When you delve into physics, biology, psychology, or business management, you come across highly developed blocks of knowledge, each with its own language and specific laws. Although these blocks have made remarkable progress in their own territory, they often remain isolated from each other, as if a wall separated Newtonian mechanics from learning models in psychology, or circuit theory from team management. However, when you examine them in detail, you notice that they all describe some kind of evolution over time: there is a resource or variable that changes (be it position, chemical state, capital, motivation), there are external factors that push, and there are internal mechanisms that slow down or regulate the reaction. In addition, in each field there is talk of energies or costs that reveal that something from the past persists and is not erased in an instant.

The question naturally arises: will it be possible to find a common framework that describes any transformation process, be it mechanical, biological, psychological or organizational, without rewriting all the particular laws? The hemodynamic paradigm is born precisely from this idea: that all these systems can be seen as fields that share the same energetic transformation structure, with its basic inertia, its internal and external influences, and a response that accumulates in time stages. It does not mean that psychology and physics have a single literal equation, but that in both cases the evolution of the system can be interpreted with the same template of inertia, forces and layers of integration.

The essence of this vision is to note that in any discipline we can distinguish:

●  A basal capacity or inertia, which defines the difficulty of sudden change (mass in physics, resources and culture in a company, internal strength of the mind).

●  Two types of influences or forces, one external and one internal (in mechanics, applied force and friction; in an organization, market pressure and cultural resistance).

●  An immediate response that arises when comparing both influences, normalized by the basal capacity.

●  A sequence of layers that collects this response at different levels of memory: the equivalent of speed and position in physics, or beliefs and behavior in psychology, or internal strategy and visible operation in a company.

●  A final layer that irreversibly accumulates what cannot be recovered: dissipated energy, sunk costs, emotional footprint, reputation.

Ultimately, the arrow of time (the fact that there are irreversible costs or losses) is not the focus of the hypothesis, but rather a consequence of the model organizing the response into four steps of temporal integration. This shows that irreversibility is more a natural effect of the model's structure than an added assumption. The main focus is on proposing that every system manages its energy or resource according to the same script: it perceives the imbalance (first layer), accumulates it in its internal structure (second layer), projects an external manifestation (third layer) and consolidates a state of dynamic equilibrium (fourth layer). Each of these layers has an associated energy that, in mechanics, coincides with the kinetic or potential energy of an oscillator, in business with the investment of resources and sunk costs, in psychology with internal energy and external behavior, etc.

Furthermore, the appearance of feedback terms (for example, friction and the spring constant k in mechanics, or the factors that penalize internal cohesion and external alignment in an organization) is no longer something arbitrarily introduced: the hemodynamic model itself shows how these coefficients can be derived from the energetic configuration of