Accumulation: The Construction of Complexity
(Acquisition)

Note: Evolutionary information storage revolutions: DNA (digital?), Nervous systems (analog), Digital… etc. Compare with human generated storage solutions from narrative to writing to legal, credit records etc.  

(~3500 words)

AND
WHEREAS;

Accumulation: The accumulation of the of Scale of Energy Capture, Energy  Conversion into the Ability To Do Work, by Recombination (physical processes). The universe, through discrete operations, leads to the accumulation of energy density. This accumulation, in turn, creates the potential for matter and energy to reorganize in increasingly complex ways, offering opportunities for evolutionary innovation.

• Operations: The universe performs discrete concrete operations that produce persistent concentrations of energy density.
• State Changes: These operations produce discrete state changes, by the reorganization of energy and mass creating changes in information. 
• Accumulation: These state changes  accumulate in increases in persistent energy density. 
• Mass(Matter): This accumulation of persistent energy density consists of energy, organization(internal), and information(external), we call mass(matter).  the internal organization of that energy, and the external information that can be derived from the system’s state.
• Potential (Opportunity, Niche): Some increases in stable relations of persistent energy density by accumulation in organization produce additional opportunity for new recombinations: consisting of additional accumulation of  increases in energy density in new combinations of stable relations. Meaning, some increases produce opportunity for recombination (Hydrogen) and some don’t (Argon).
• Niche:  A set of opportunities for gain in the organization of mass, energy, and information in defining a subset of the potential interactions possible with the entities existentially possible at that scale.

Summary:

• |Energy, Combination, and Evolution|: Operations > Accumulation > Recombination > Innovation.
• Energy, Combination, and Evolution = Growth of The Universe’s Complexity.
• Through discrete operations, the Universe creates the accumulation and recombination of energy and mass, causing the complexity and diversity of matter. This process enhances the potential for evolutionary innovation by creating niches for new forms of organization and interaction, producing the dynamic evolution of the cosmos.

Recombination (+,=): The Cycle of Innovation
(Cooperation)

AND
WHEREAS;

Recombination: The Cycle of Innovation:

• Recombination: Therefore all persistent combinations produce increasing opportunity for new persistent recombinations.
• Emergent Opportunities: All persistent combinations of matter and energy not only maintain their existence over time but also create increasing opportunities for new and persistent recombinations. This means that once matter and energy come together in a stable form, this stability isn’t an endpoint; rather, it’s a platform for further complexity and innovation.

Adaptation: The Engine of Persistence:

• Adaptation: this accumulation of persistent energy density, organization, and information results in the continuous recursive accumulation of energy density, organization, and information thereby creating persistence.
• Adaptive Accumulation: Adaptation is the mechanism by which the universe evolves. The accumulation of persistent energy density, along with the organization and information inherent in systems, fuels a continuous, recursive process. This process is not just additive; it’s exponential in its capacity to create more complex systems through the reiteration of energy and matter organization.
• Creating Persistence: This adaptive mechanism ensures that changes are not fleeting. Instead, they contribute to the long-term persistence of energy and matter configurations. This persistence is crucial for the evolution of stable, complex structures in the universe, from atomic and molecular levels to the vast scales of cosmic structures.

Capital as The Conceptual Bridge:

• Capital: The combination of matter and its potential functionality. While capital is an anthropomorphic term, it conveys a broader, analogical, application of the term “capital” beyond its economic connotation. Here we use capital to refer to the inherent potential utility found in the organization and potential applications of matter and energy.
• Conceptual Bridge: The introduction of the concept of capital, in this broadened sense, serves as a conceptual bridge linking physical processes to the idea of potential and utility. It suggests that the universe’s evolution is marked not just by the physical accumulation and organization of energy and matter but also by the continuous expansion of potential uses and functionalities.

THEREFORE;

Summary:

• |Innovation|: Recombination > Potential (Opportunities) > Capital
• The Synthesis: The universe can be understood as a vast, unfolding experiment in creativity, where the fundamental processes of recombination and adaptation drive the emergence of new organizations and potentials. This highlights the intrinsic value in the persistent organization of matter and energy, providing a deeper understanding of how these principles mirror broader patterns of innovation, adaptation, and value creation across different scales and contexts.

Assembly
(Organizations)

• Component (Resource): A scale-independent set of stable relations (object, entity, unit), within a system that exhibits a unique combination of intrinsic properties, interactivity, scalability, functionality, and modularity. These characteristics enable components to act both independently and as integral parts of larger, more complex structures known as assemblies.
  • Definition: A component refers to the most fundamental unit within the generalization of all references (names) of persistent relations in the universe. It represents an individual element with specific properties and the potential for interaction.
  • Intrinsic Properties: Components have inherent characteristics or states that define their behavior and how they can interact with other components. These properties can be physical (e.g., mass, charge), chemical (e.g., bonding potential), biological (e.g., receptor sites), social (e.g., roles, preferences), or informational (e.g., data values).
  • Operations: Components themselves may perform operations but in the context of Assemblies: Components > Assemblage > Assemblies > Ensemble > Ensembles, they are the subjects of operations within assemblies. Their interactions can lead to the formation, transformation, or disassembly of larger structures.
  • Potentials: The potential of a component lies in its ability to combine with other components to form assemblies with emergent properties or functions that are not present in the isolated components.
  • Interactivity: Components are capable of interacting with (cooperating with) other components, and forming stable relations between components, providing cooperative advantage to the system. These interactions can vary widely in nature, including physical forces, chemical reactions, biological processes, social exchanges, or informational communications, depending on the context of the assembly.
  • Information: The intrinsic information of a component includes its properties, states, and capacities for interaction. This information determines how a component can engage with other components and what roles it can play within an assembly.
  • Emergence: In many cases, components have specific functions or roles within assemblies, contributing to the overall purpose or behavior of the system. This functionality is often emergent from the interactions between components and cannot be deduced from the properties of individual components alone.
  • Adaptation: The components’ intrinsic properties dictate how they can combine and react to changes, creating opportunity for innovation and adaptation observed in both natural and artificial systems. Their ability to recombine, adapt, and evolve in response to environmental pressures or opportunities allows systems to explore new forms of organization, functionality, and adaptation. 
  • Modularity: Components often exhibit a degree of modularity, meaning they can be assembled, reassembled, or replaced within different assemblies or contexts while maintaining their intrinsic properties. 
  • Integrity: Components possess an inherent integrity, allowing them to maintain their essential characteristics and functional identity even when integrated into various assemblies. This integrity is crucial for the resilience and adaptability of the assemblies they constitute.
  • Scalability: The concept of a component is scalable and can refer to entities at various levels of complexity, from subatomic particles in physics to individuals in a society, or even concepts in a theoretical framework.
  • Rationality: 
    • |Consistency of Laws|: Causality(Pressure) > Determinism(Processes) > Conservation(Energy) > Symmetry(Forces) > Integrity (Component).
    • As such Rationality is Determined.
  • Narrative:

    Components are the most reductive (primary, foundational) units within a system, characterized by stable relations and a unique set of intrinsic properties, interactivity, scalability, functionality, and modularity. These units operate under direct causal laws, where their interactions—governed by deterministic processes—enable the formation of complex structures. Components embody the operational basis for system organization, acting both independently and cooperatively, to initiate the emergence of higher-order structures.

    Components, defined as the fundamental units within the universe, possess specific intrinsic properties that dictate their behavior and interaction capabilities. These units are essential for forming assemblies, structures that emerge when components interact in a manner that yields emergent properties or functionalities not present in isolated components.

    The formation of assemblies is governed by the principles of causality, where the interactions among components (cause) directly lead to the creation of assemblies (effect). This process is deterministic, meaning the initial conditions and intrinsic properties of components precisely determine the outcome of interactions, resulting in the formation of assemblies with predictable properties and behaviors.

    Modularity, integrity, and scalability are inherent characteristics of components that facilitate their integration into assemblies. These characteristics ensure that assemblies can evolve and adapt by reorganizing components in response to environmental pressures, thereby enhancing their survival and functionality.

    The transition from assemblies to more complex structures, ensembles, is a direct consequence of the assemblies’ ability to combine and recombine, driven by the need to optimize functionality and adaptability within a given environmental niche. This process is probabilistic, with the potential for various assembly configurations depending on the components’ interactions and environmental conditions.

    In summary, the universe’s hierarchical organization, from components to assemblies and ensembles, is a direct outcome of deterministic and probabilistic processes governing component interactions. These processes are underlined by causality, ensuring a rational and consistent framework for understanding the emergence and evolution of complexity within the cosmos.

• Assemblies, Assemblage: Complex structures of that have emerged through the process of organizing simpler components by recombination of mass, energy, information into new stable forms demonstrating more functionality (persistence, potential, gain of function), increasing the capital (mass, energy, information, potential) of the assembled entity within a niche (opportunity). These entities have used accumulated potential for persistence and adaptation within their specific scale by accumulating, integrating and adapting to information that maintains their stability and persistence over time.
  
  • Definition: An assembly is a structured collection of components that interact in a specific manner to exhibit emergent properties or functionalities. Assemblies are the result of the organization and interaction of components.
  • Information: The information in an assembly includes not only the combined information of its components but also the structure of their interactions—how components are linked and how these links contribute to the assembly’s overall behavior or function.
  • Operations: Operations on assemblies include the processes of assembly (combining components), maintenance (sustaining interaction patterns), and disassembly (separating components). These operations reflect the dynamic aspect of assemblies, where the structure and function can change over time.
  • Competency (Goal Directed Agent): The competency of the assembly to solve some problem in some context. In this sense assemblies function as proto-intelligence working together with other assemblies in cooperation and competition at scale for mutual benefit as a collective proto-intelligence to de-facto intelligence at the upper limit.
  • Hiding from Selection: (narrowing the field of potential spaces)
    ( … )
  • Potentials: The potential of an assembly lies in its emergent properties and functionalities, which arise from the complex interactions of its components. These potentials are greater than the sum of the potentials of the individual components and can include new abilities or behaviors not found in the components alone.
  • Emergence: The essence of an Assembly lies in its emergent properties and functions—characteristics that arise from the collective organization and interaction of its constituents, transcending the capabilities of individual elements. 
  • Organizing Principle: In the broader context of evolutionary computation and the hierarchy of existence, assemblies represent the fundamental organizational principle where stable relations combine and recombine to capture increases in energy density.
  • Narrative:

    Assemblies arise from the deterministic interactions among components, forming structured collections that exhibit emergent properties and functionalities. This process demonstrates the direct causality between component interactions and the resultant complex systems, with assemblies serving as the intermediate organizational stage. They are dynamic entities, capable of evolving in response to environmental pressures, showcasing a probabilistic pathway toward increased complexity and adaptation.

    The process of transforming simpler components into complex assemblies is governed by deterministic interactions, leading to the creation of structures with emergent properties that exceed the capabilities of their individual parts. Assemblies are formed through the systematic recombination of mass, energy, and information, a direct result of the specific ways in which components interact. These interactions not only determine the formation of assemblies but also dictate their dynamic nature, allowing for the maintenance, adaptation, and potential disassembly of these structures over time.

    The essence of an assembly lies in its emergent properties, which are directly caused by the complex interplay among its components. This complexity introduces the potential for assemblies to exhibit new abilities or behaviors, showcasing the principle that the capabilities of an assembly are causally dependent on the interactions at the component level. Furthermore, the formation of assemblies represents a crucial organizational principle within the evolutionary computation and hierarchical structure of existence, capturing increases in energy density essential for the evolutionary progression of complexity.

    In summary, assemblies are not merely collections of components but are dynamic entities characterized by emergent properties that arise from deterministic interactions among components. This direct causality underscores the significant role of assemblies in advancing the complexity and adaptability of entities within the universe, highlighting their foundational importance in the overarching organizational hierarchy.

• Ensembles, Ensemble:  A stable equilibrium of a set of assemblies that emerges from the interaction and integration of multiple assemblies within a niche. 
  • Definition: An ensemble is a collection of assemblies that share certain characteristics or are governed by similar rules, but each assembly within the ensemble can have different configurations or states.
  • Information: The information of an ensemble encompasses the diversity of configurations and states of its constituent assemblies. It also includes statistical or probabilistic information about the distribution of these configurations and their dynamics over time.
  • Operations: Operations on ensembles involve the analysis of patterns, trends, and statistical properties across multiple assemblies. These operations can include studying the evolution of assemblies within the ensemble, predicting the likelihood of certain assembly configurations, or understanding the conditions under which particular emergent properties appear.
  • Potentials: The potential of an ensemble is related to its capacity to model and predict the behavior of complex systems under various conditions. By examining the ensemble, researchers can gain insights into stability, adaptability, and evolution of systems composed of many interacting assemblies.
  • Organizational Scale: An ensemble acts as an assembly at a higher order of organization of mass, energy, and information.
  • Hierarchical Scale: This process results in the emergence of an ordered hierarchy, contributing to the broader systemic evolution and the innovation and adaptation observed in natural and artificial systems.
  • Adaptive Scale: Assemblies, therefore, are not static entities but dynamic equilibria that generate dynamic systems that continuously evolve by recombining existing components to meet the demands of their environment, within niches, demonstrating survival and adaptation.
  • Narrative: Ensembles represent a higher organizational level achieved through the integration of multiple assemblies within a niche. They are characterized by stable equilibrium and shared characteristics among assemblies, yet allow for diverse configurations. Ensembles illustrate the culmination of deterministic and probabilistic processes at play, highlighting the direct causal relationships that govern the transition from assemblies to more complex structures. This level of organization emphasizes the capacity of systems to model and predict complex behaviors and adapt across various conditions.
• Configurations (Plasticity, Greedy Opportunity Seizure, Promiscuity):     ( … ) The specific arrangements and states that these structures can transform into. They are the direct outcome of the underlying components’ properties and the interactions between assemblies, governed by deterministic rules that allow for a field of potential outcomes. Configurations provide the operational variability within systems.
• Limits: Within scales a limited set of operations that can produce new organizations is available. When a new scale of possible operations is discovered, a new set of operations for new organizations is available for accumulation mass, energy, potential that was not possible at the previous scale of organization.
  
  • Within Scales (intra): the discovery of potential operations within niches, with a plane of causality, defined by the operations available between the entity and available resources at that scale, whether  
  • Across Scales (extra): emergence of potentials (operations) components to act as assemblies and assemblies to act as ensembles unavailable at previous scales.
• Outputs (Products, Production): The tangible and intangible results generated through the interactions and operations within assemblies. These include goods, services, information, and incentives, each representing a distinct category of output produced by the systematic recombination of mass, energy, and information in the pursuit of increasing complexity, functionality, and adaptation.
  • Goods: The physical and tangible products created by assemblies. They represent the material manifestations of energy and mass recombination, embodying stable relations that have been organized into new forms with specific utility or value. Goods serve as concrete evidence of the system’s capacity to harness and transform resources into entities with defined characteristics and purposes.
  • Services: The intangible outputs that result from the operations of assemblies. They involve the application of energy, information, and organizational processes to fulfill specific functions or needs. Services reflect the dynamic aspects of assemblies, emphasizing the non-material benefits derived from the interactions and functional integration within and between systems.
  • Information: The structured data and knowledge generated through the interactions within assemblies. It encapsulates the emergent properties and patterns that arise from the complex interplay of components, offering insights into the underlying principles and mechanisms driving system organization and evolution. Information serves as a critical resource for navigating, understanding, and influencing systemic behavior.
  • Incentives: The differences in mass, energy, charge, organization, information within the components and assemblies that influence the direction and nature of assembly interactions and evolution. They can emerge from the system’s internal dynamics or from external pressures, guiding the recombination and adaptation processes toward specific goals or outcomes. Incentives play a key role in shaping the pathways of innovation, adaptation, and complexity growth within the system.
• Causal Pathways(Production Cycles): ( … ) 
  • Pathways: Pathways within assemblies entail a sequence of operations or interactions that transform initial inputs (components or resources) into more complex outputs (new forms of assemblies or functionalities). These sequences are deterministic, based on the intrinsic properties of the components and their potential for interaction, leading to predictable outcomes given a set of initial conditions.
  • Path Potentials: The capacity of a system to follow multiple potential pathways based on the present components and their interactions, producing various materials (goods), transformation (services), and information(possibilities).
  • Path Dependence and Hierarchical Evolution: The evolutionary trajectory of each assembly is characterized by path dependency, reflecting a lineage of causality that places it within a distinct reservoir. This path-dependent progression underlines a hierarchical architecture of existence, where continuous recombination of stable relations enhances energy density, culminating in a layered hierarchy of causal domains.
    • Chain of Causality: Each Assembly exists within a single Pool, and arrived in that Pool via a Path Dependent Chain of Causality.
    • Hierarchy: And all of existence consists of a hierarchy of persistent recombinations of stable relations in assemblies that capture increases in energy density, and emergent hierarchy of Planes of Causality.
• Narrative: Systemic pressures and opportunities cause the self organization of the assembly and advancement of ensembles within a hierarchical lattice of reserves and reservoirs. This interplay of forces, limited by path-dependencies, produces the continuous (eternal) bias in favor of complexity, consistency, and coherence in the universe.