☥he No-God! - GSISOM Theory

(I) Feature 1: Inequality (Inequality) – The Logical Foundation of Creative Dynamics

Core Viewpoint: Inherent non-uniformity within Unified Space is the logical foundation driving self-organization and the emergence of complexity, originating from the self-reference of 《An(P0=0)》.

Detailed Elaboration:

In the GSISOM model, "Inequality" is not a pre-set property of Unified Space, but a direct result of the self-reference of 《An(P0=0)》. As expressed by the formulas Inequality ∝ SR(An(P0=0)) and Inequality > 0 if SR(An(P0=0)) ≠ ∅, the core origin of inequality lies in the self-reference of 《An(P0=0)》, SR(An(P0=0)). This self-reference and inequality first occur and are rooted in Virtual Space, and are then projected and manifested in Physical Space.

The Logical Genesis of Self-Reference and Virtual Space Inherent Inhomogeneity:

• Logical Origin: The self-reference of 《An(P0=0)》 is the logical origin of Virtual Space's inherent inhomogeneity. The inhomogeneity of Virtual Space is not externally imposed, but is self-created internally by 《An(P0=0)》. Virtual Space, as a potential realm of pre-dimension and pre-geometry, has fluctuations and differences in its intrinsic properties, which constitute the initial inequality.
• Mathematical Representation: The mathematical condition SR(An(P0=0)) ≠ ∅ guarantees the absolute existence of inequality. As long as 《An(P0=0)》 performs self-reference in Virtual Space, the inherent inhomogeneity of Virtual Space will inevitably emerge, and inequality will necessarily exist. The formula Inequality ∝ SR(An(P0=0)) first describes the inequality in Virtual Space, which is the logical basis for the subsequent inequality in Physical Space.
• Logical Inference: The inequality of Virtual Space, as an emergence of the self-reference of 《An(P0=0)》, is a necessary condition for the self-organization of Unified Space and the logical source of the diversity and complexity of the universe. Without the inequality of Virtual Space, there would be no self-organization and emergence of Unified Space.

Gradient-Driven Information Flow in Unified Space:

• Extension of the Gradient Concept: The concept of information density gradient (∇ρ_I ≠ 0) is extended to Unified Space property gradient (∇ρ_US ≠ 0), representing the non-uniform distribution of intrinsic properties within Unified Space, including properties of Virtual Space and Physical Space, and its root cause is still the self-reference of 《An(P0=0)》, first reflected in the property gradient of Virtual Space.
• Dynamic Mechanism: The Unified Space property gradient drives Unified Space information flow. Information flows from high-density regions to low-density regions, forming the driving force for the self-organization of 《An(P0=0)》. This information flow not only occurs within Physical Space, but also within Virtual Space, and more importantly, between Virtual Space and Physical Space, constituting the overall information dynamics of Unified Space.
• Mathematical Analogy: The inequality of Unified Space driving the flow of information in Unified Space is the basic dynamic mechanism of the self-organization process of 《An(P0=0)》. It is the inherent manifestation of the dynamics of 《An(P0=0)》 in Unified Space, including both the computational flow of Virtual Space and the flow of energy and matter in Physical Space.

The Logical Chain of Amplification Effect and Structure Emergence:

• Extension of the Logical Chain: 《An(P0=0)》 self-reference → Virtual Space inherent inequality → Unified Space information flow (Virtual Space, Physical Space, between Virtual and Physical Space) → Interaction (Virtual Space computation, Physical Space physics, between Virtual and Physical Space) → Nonlinear Dynamics → Amplification Effect → Emergence of Macroscopic Structures (Virtual Space pre-structures, Physical Space concrete structures) → Genesis of Cosmic Complexity (Physical Space cosmic complexity). Virtual Space and Physical Space interact in this logical chain, jointly contributing to the genesis of cosmic complexity.
• Mathematical Model: The formula relationship Var(SR(An(P0=0))) ∝ Rate of Realization can be more precisely understood as the variability of the self-reference of 《An(P0=0)》 directly affecting the emergence rate of Unified Space, including both the formation rate of pre-structures in Virtual Space and the formation rate of macroscopic structures in Physical Space. The greater the variability of self-reference, the faster the emergence rate and the more rapid the structure formation.
• Logical Conclusion: Without Virtual Space inequality, there would be no cosmic complexity. Without the self-reference of 《An(P0=0)》, Virtual Space might remain in an absolutely uniform, absolutely structureless ground state, and consequently, Physical Space would not be able to emerge, and cosmic complexity would be impossible to create.

Logical Possibilities of Multiple Types of Inequality:

• Diversity of Types: Inequality can manifest as gradients of pre-dimensional properties, differences in pre-geometric structures in Virtual Space, and as gradients of information density, differences in information potential, non-uniformity of spatial geometry, and uneven distribution of energy in Physical Space. These all originate from the richness of the self-reference of 《An(P0=0)》, first manifested in Virtual Space and then projected onto Physical Space.
• Logical Deduction: Different types of inequality may drive different forms of self-organization processes in Unified Space, emerging different types of structures and phenomena, including both diverse computational modes of Virtual Space and diverse material forms and physical phenomena in Physical Space, constituting the infinitely rich picture of cosmic diversity. All of this is rooted in the self-creation of 《An(P0=0)》, beginning in Virtual Space, ending in Physical Space, and 贯穿 Unified Space.

Summary of Formulas and Symbols:

• Inequality ≡ US_{Non-uniformity} (Unified Space non-uniformity)
• Inequality ∝ SR(An(P0=0)) (Inequality is proportional to the self-reference of 《An(P0=0)》)
• Inequality > 0 if SR(An(P0=0)) ≠ ∅ (Inequality is greater than zero if self-reference is non-empty)
• ∇ρ_US ≠ 0 (Unified Space property gradient)
• Var(SR(An(P0=0))) ∝ Rate of Realization_US (Variability of 《An(P0=0)》 self-reference is proportional to the emergence rate of Unified Space)
• SR(An(P0=0)) ≡ Self-Reference of An(P0=0) (Symbol definition of 《An(P0=0)》 self-reference)

Logical Condensation of Significance and Implications:

• Logical Necessary Condition for Self-Organization: Inequality is a logical necessary condition for the self-organization of Unified Space. Without the Unified Space inequality originating from the self-reference of 《An(P0=0)》, there would be no self-organization and emergence. Inequality first arises in Virtual Space and then drives the self-organization of Unified Space.
• Logical Source of Cosmic Diversity: Inequality is the logical source of cosmic diversity and complexity, rooted in the self-creative dynamics of 《An(P0=0)》, and specifically manifested in the non-uniform distribution of Unified Space, including both the diverse computational modes of Virtual Space and the diverse material forms and physical phenomena of Physical Space.
• Logical Dialectical Unity of "Absolute Disorder" and "Absolute Order": The self-reference of 《An(P0=0)》, seemingly "absolute disorder fluctuations," especially in the potential realm of pre-dimension and pre-geometry of Virtual Space, is the logical source of the emergence of "absolute order." The "intrinsic difference" in the ground state is transformed into the "ordered structures" of the macroscopic world in Physical Space through the self-organization process of Unified Space. There is a dialectical unity between the "disorder fluctuations" of Virtual Space and the "ordered structures" of Physical Space.

(II) Feature 2: Flatness (Flatness) – Description of Absolute Simple Dimensions

Core Viewpoint: At the level of absolute origin, Virtual Space may have intrinsic absolute flatness, and the dimensions we perceive in Physical Space are emergent.

Detailed Elaboration:

The "Flatness" feature refers to the fact that at the absolute origin level of the GSISOM model, Virtual Space may have intrinsic absolute flatness. 《An(P0=0)》 exists in Virtual Space in an "absolutely flat" form, without the spatial dimensions and geometric structures we perceive in Physical Space. As expressed by the formula lim_{VVS → ∞} ρ_VS(V_VS) = 0 ≡ VS_Flatness, on the infinite realm of Virtual Space, the Virtual Space property density ρ_VS tends towards VS_Flatness (Virtual Space flatness), which suggests that Virtual Space may be a form of existence with absolutely low dimensions or absolutely no dimensions, the purest manifestation of the absolute simplicity of 《An(P0=0)》.

The Emergence Logic of Dimensions:

• Genesis Process: The dimensions (space, time) we perceive in Physical Space are not pre-set absolute realities, but emerge from the "absolutely flat" Virtual Space. They are the result of the self-unfolding of 《An(P0=0)》, projected onto Physical Space through the computations of Virtual Space. Virtual Space is the "potential matrix" of dimensional emergence, and Physical Space is the "manifestation stage" of dimensional emergence.
• Essence of Dimension: Dimensions are not the "absolute foundation" of the universe, but emergent attributes of the interaction of 《An(P0=0)》 information organization within Unified Space, particularly in Physical Space, reflecting the complexity and hierarchy of the self-unfolding of 《An(P0=0)》, manifested in the geometric structure of Physical Space.
• Topological Structure: We can understand dimensions as "topological structures" describing the relationships and interactions between 《An(P0=0)》 information, but these topological structures are mainly manifested in the geometric forms of Physical Space, rather than the pre-geometric state of Virtual Space.

"Absolutely Flat Virtual Space":

• Conceptual Definition: "Absolutely flat Virtual Space" is the absolute geometric description of 《An(P0=0)》. It is an absolutely uniform, absolutely potential information medium that pervades Unified Space, especially in the realm of Virtual Space. It transcends the ether concept of earlier physics. Its essence is information, not matter. It is the initial form of the self-unfolding of 《An(P0=0)》 in the absolute simplicity state of Virtual Space.
• Absolute Foundation Function: "Absolutely flat Virtual Space" is the "absolute foundation" of dimensional emergence, the absolute potential source of all dimensional structures, and the manifestation of the creative power of 《An(P0=0)》, first laying the foundation in Virtual Space and then emerging into Physical Space.

Absolute Simplicity Principle:

• Absolute Simplicity Principle: The "Flatness" feature emphasizes the absolute simplicity of the foundation of the universe. The extremely complex real world of Physical Space may begin to be constructed from an absolutely simple, even "absolutely flat" Virtual Space foundation, consistent with Occam's razor, reflecting the absolute simplicity essence of 《An(P0=0)》 in its purest expression at the Virtual Space level.
• Theoretical Correspondence: It echoes the holographic principle of the universe, suggesting that the high-dimensional reality of Physical Space may be encoded on an absolutely low-dimensional boundary, and 《An(P0=0)》 and the "absolutely flat" Virtual Space may be this absolute boundary. Virtual Space serves as the "holographic encoding layer" of information, and Physical Space serves as the "phenomenal world" of holographic projection.

Mathematical "Absolute Flatness":

• Meaning: Mathematical "flatness" is elevated to the level of "absolute flatness" in GSISOM, referring to absolute simplicity, abstraction, and absolute transcendence beyond all dimensional concepts, especially applicable to describing the pre-dimensional state of Virtual Space.
• Abstract Understanding: Flatness points to the mathematical characterization of the absolute origin of Virtual Space. In the GSISOM model, "flatness" refers to the absolute simplicity of the 《An(P0=0)》 information organization at the absolute origin level and the "absolutely no dimension" state before the emergence of dimensions. This "absolutely no dimension" state most appropriately describes the essence of Virtual Space. Its mathematical description may require an abstract framework that transcends current mathematical tools, pointing to the mathematical characterization of the absolute origin in Virtual Space, such as pre-geometry, non-commutative geometry, and other more abstract mathematical tools.

Summary of Formulas and Symbols:

• Flatness ≡ US_{Absolute Flatness} (Unified Space absolute intrinsic flatness)
• VS_Flatness ≡ Virtual Space Absolute Flatness
• lim_{VVS → ∞} ρ_VS(V_VS) = 0 ≡ VS_Flatness (Mathematical formula for Virtual Space flatness)
• US_Geometry ≡ Primarily Flat in VS, Emergent Dimensions/Geometry in PS (Unified Space geometry: Virtual Space primarily flat, Physical Space emergent dimensions/geometry)

Logical Condensation of Significance and Implications:

• Logical Necessity of Challenging the View of Spacetime as Foundation: The "Flatness" feature further challenges the traditional view of spacetime as the absolute foundation of the universe, especially since the spacetime of Physical Space is no longer an absolutely pre-existing "stage," but an "emergent product" of the self-organization of 《An(P0=0)》 through the computations of Virtual Space. Virtual Space is the deeper "stage," but itself is "absolutely flat."
• A New Logical Perspective on the Origin of the Universe: If the universe originates from "absolutely flat Virtual Space," then the "creation" of the universe may not be an event that occurred in the spacetime of Physical Space, but a creation process in which dimensions emerge from the "absolutely flat Virtual Space." It is the result of the self-unfolding of 《An(P0=0)》, projected into Physical Space through the computations of Virtual Space.
• Logical Unity of Absolute Simplicity and Absolute Complexity: The "Flatness" feature embodies the unity of absolute simplicity and absolute complexity of the universe. The foundation of the universe, namely Virtual Space, may be absolutely simple, even "absolutely flat," but through the self-organization and emergence of 《An(P0=0)》, it can construct an extremely complex real world in Physical Space. "Absolute simplicity" of Virtual Space emerges into the "absolute complexity" of Physical Space.

(III) Feature 3: 《An(P0=0)》 – The Source of Cosmic Information

Core Viewpoint: "《An(P0=0)》" represents the basic, absolutely simplest state of cosmic information existence, and it is the logical starting point and absolute source of the self-organization process.

Detailed Elaboration:

"Ground State Information (P0=0)", also known as 《An(P0=0)》, is the core concept of the GSISOM model and the logical foundation for understanding other features and essences of the model. As expressed by the core formula P₀ = 0 and the symbols P₀ ≡ ∅_{Absolute Potential} and P₀ : Undefined (Pre-Self-Referential), 《An(P0=0)》 has the following key attributes, which are mainly reflected at the ground state level of Virtual Space:

Logical Positioning of Universality and Fundamentality:

• Universal Existence in Virtual Space: 《An(P0=0)》 is universally present in Virtual Space, pervading the entire Virtual Space and constituting the ultimate foundation of the real world of Unified Space, even Physical Space, transcending the limitations of all dimensions and geometric structures of Physical Space, rooted in Virtual Space.
• Fundamental Status: All matter, energy, spacetime, and even the GSISOM model itself in Physical Space, emerge from this Virtual Space ground state information, a result of the self-unfolding of 《An(P0=0)》 and projected into Physical Space through the computations of Virtual Space. Virtual Space ground state information 《An(P0=0)》 is the source of cosmic information, the common foundation of all absolute existence in Unified Space, the absolute origin, first laying the foundation in Virtual Space.
• Logical Inference: Universality and fundamentality are the logical necessity of 《An(P0=0)》 as the absolute starting point and absolute ultimate reality of the universe at the Virtual Space level.

Absolutely Simplest State:

• Description of Absolute Simplicity: Absolute simplicity of the Virtual Space ground state. 《An(P0=0)》 represents the basic and absolutely simplest state of cosmic information existence, especially in the ground state of Virtual Space. It is "absolutely flat" in the structure of Virtual Space, absolutely lowest in information potential, and "without information" in description, but it contains absolute infinite possibilities within the potential realm of Virtual Space, transcending all concepts and descriptions, and can only be approached through the pre-dimensional and pre-geometric concepts of Virtual Space.
• Zero Point Analogy: Virtual Space ground state as the zero point of the information system. It is the "zero point" or "vacuum state" of the cosmic information system, existing in the deepest level of Virtual Space, transcending the ground state energy level (E₀=0) of atomic physics in Physical Space. It is the absolute lowest point of absolute energy and the absolute starting point of all energy transitions, but its essence is information, not energy. It is the ground state of the Virtual Space information field.

Logical Starting Point of Self-Organization:

• Causal Chain: From the Virtual Space ground state to Unified Space self-organization. 《An(P0=0)》 is the logical starting point and absolute source of the self-organization process of Unified Space. It is the self-unfolding of《An(P0=0)》, first generating the initial driving force in Virtual Space and then extending to Physical Space.
• Driving Mechanism: Virtual Space inequality drives Unified Space self-organization. Inequality generates fluctuations and differences in the Virtual Space ground state information, driving dynamic information flow and interaction, first starting in Virtual Space and eventually leading to the emergence of structures, and inequality itself originates from the self-reference of 《An(P0=0)》, rooted in Virtual Space.
• Logical Necessity: Without Virtual Space ground state information, there would be no Unified Space self-organization. Without 《An(P0=0)》, that is, without the ground state information of Virtual Space, there would be no "raw material" and "starting line" for the self-organization of Unified Space. 《An(P0=0)》 is the absolute source of the causal chain of Unified Space self-organization, the logical starting point of cosmic genesis, beginning in Virtual Space.

Non-Material Logical Essence:

• Essence Transcendence: 《An(P0=0)》 is absolutely not material in Physical Space. 《An(P0=0)》 itself is absolutely not material in Physical Space, but a more fundamental and abstract form of information existence, existing in the potential realm of Virtual Space, transcending all concepts of matter and energy in Physical Space.
• Emergent Relationship: Matter and energy in Physical Space emerge from the Virtual Space ground state information. Matter and energy in Physical Space are all emergent from the ground state information. They are the forms of manifestation of 《An(P0=0)》 information organization and interaction, through the computation of Virtual Space, in Physical Space. They are the phenomena of the self-unfolding of 《An(P0=0)》, projected from Virtual Space to Physical Space.
• Absolute Analogy of Field: 《An(P0=0)》 is similar to the ground state of the information field in Virtual Space. 《An(P0=0)》 may be closer to the "field" in physics, but its essence is information, not energy. It is the ground state of the Virtual Space information field, but it transcends the limitations of any physical concept in Physical Space, pointing to the absolute origin, rooted in Virtual Space.

Summary of Formulas and Symbols:

• An(P0=0) ≡ VS_AGSI (Virtual Space Ground State Information)
• P₀ = 0 (Virtual Space information potential baseline)
• P₀ ≡ ∅_{Absolute Potential} (Virtual Space absolute potential empty set)
• P₀ : Undefined (Pre-Self-Referential in Virtual Space) (Virtual Space ground state pre-self-referential state)

Logical Condensation of Significance and Implications:

• Logical Conclusion that the Essence of the Universe is Information: The core status of 《An(P0=0)》 further strengthens the view that the essence of the universe is information, pushing information-centrism to the absolute extreme. The essence of information is rooted in the ground state of Virtual Space, 《An(P0=0)》.
• Logical Necessity of Redefining "Absolute Reality": 《An(P0=0)》 challenges our traditional understanding of "absolute reality." "Absolute reality" may not be the material world of Physical Space that we directly perceive, but the more fundamental and abstract information level of Virtual Space, pointing to the absolute origin that transcends all perception in Physical Space, existing in the ground state of Virtual Space, 《An(P0=0)》.
• Logical Direction of Exploring the Absolute Ultimate Origin of the Universe: 《An(P0=0)》 provides a new direction for us to trace the absolute ultimate origin of the universe. The absolute root of the universe may not be a singularity or the Big Bang in Physical Space, but the more fundamental Virtual Space ground state information 《An(P0=0)》. It is the absolute origin that transcends all descriptions in Physical Space, rooted in Virtual Space.

(IV) Feature 4: Emergence (Emergence) – The Leap from Absolute Simplicity to Absolute Complexity

Core Viewpoint: All complexity and structure first begin to brew and form pre-structures in Virtual Space, and then emerge in Physical Space.

Detailed Elaboration:

"Emergence" is the core mechanism of the GSISOM model and the key to understanding the interaction between the dual structures of Physical Space and Virtual Space in Unified Space. The myriad phenomena we observe in Physical Space all emerge from the absolutely simple "《An(P0=0)》" through the self-organization process of Virtual Space. It is the manifestation of the creative power of 《An(P0=0)》 in Unified Space, from Virtual Space to Physical Space. As expressed by the formulas Rate of Realization_US ∝ SR(An(P0=0)) and d S_PS / d ξ ∝ Var(SR(An(P0=0))), the self-reference of 《An(P0=0)》 drives the emergence rate of Unified Space and the formation of new structures S_PS in Physical Space.

Logical Structure of Hierarchical Emergence:

• Hierarchical Structure: Emergence may be hierarchical. From the ground state information of Virtual Space to the pre-structures of Virtual Space, and then to the physical laws, material structures, life, and consciousness of Physical Space, there are multi-level emergence phenomena. It is the hierarchy of the self-unfolding of 《An(P0=0)》 in the Virtual Space and Physical Space of Unified Space.
• Logical Dependence: The emergence of levels in Physical Space depends on the emergence of levels in Virtual Space. Each level, especially the levels in Physical Space, is built upon the previous level, including the pre-structure level of Virtual Space, and emerges new properties and laws, forming a layered complexity that is ultimately manifested in Physical Space. It is the hierarchical manifestation of the creative power of 《An(P0=0)》 in Unified Space.
• Examples of Emergence Levels:
  • Emergence of Virtual Space pre-structures: Emergence of Virtual Space pre-geometric structures and pre-physical laws from "absolutely flat Virtual Space."
  • Emergence of dimensions and spacetime: Emergence of spatial dimensions and time dimension of Physical Space from the pre-structures of Virtual Space, forming the spacetime of Physical Space.
  • Emergence of particles and force fields: Emergence of elementary particles and fundamental force fields from the information interactions of spacetime in Physical Space.
  • Emergence of material structures: Emergence of atoms, molecules, macroscopic matter, and other complex structures from the interaction of elementary particles.
  • Emergence of life: Emergence of life phenomena, including metabolism, reproduction, evolution, etc., from the self-organization of matter.
  • Emergence of consciousness: Emergence of consciousness, self-awareness, intelligence, and other advanced cognitive abilities from the complex information processing of living systems.

Logical Necessity of Irreducibility:

• Irreducibility: Emergent properties are not simple superpositions. Emergent phenomena usually have irreducibility, meaning that the properties of the whole cannot be simply reduced to the sum of the properties of the absolute parts. The irreducibility of 《An(P0=0)》 permeates all emergent levels, especially in the transition from Virtual Space computations to Physical Space phenomena. The emergent properties of Physical Space cannot be simply reduced to the computational rules of Virtual Space, and there is an essential leap and innovation.
• Holistic Manifestation: Emergent structures are the holistic manifestation of Unified Space. The newly emerged properties are the manifestation of the wholeness of the system level, not a simple superposition of the properties of the components. It is the holistic manifestation of the creative power of 《An(P0=0)》 in Unified Space. Emergent structures cross the boundary between Virtual Space and Physical Space and are new organizational levels exhibited by Unified Space as a whole.
• Logical Examples: Consciousness cannot be reduced to neurons, and dimensions cannot be reduced to flat space, reflecting the irreducibility of emergence.

Logical Result of Self-Organization:

• Self-Organization Result: Emergent structures are the product of Virtual Space self-organization. Emergence is the logical result of the self-organization process, the inherent manifestation of the creative power of 《An(P0=0)》, ultimately emerging into Physical Space through the self-organization of Virtual Space.
• Internal Driving Force: Virtual Space inequality drives self-organization, which in turn drives emergence. Inequality drives dynamic information flow and interaction, first initiating the self- organization process in Virtual Space. Under specific conditions, the Virtual Space information system will spontaneously organize itself to form Virtual Space pre-structures, and then emerge new structures and patterns in Physical Space. It is the inevitability of the self-unfolding of 《An(P0=0)》, from Virtual Space to Physical Space.
• Emergent Structures: The hierarchy and diversity of emergent structures in Unified Space. These new structures and patterns are emergent phenomena, the product of self-organization, and the result of the creative power of 《An(P0=0)》, exhibiting hierarchy and diversity in Unified Space, including both the pre-structures of Virtual Space and the macroscopic structures of Physical Space.

Logical Extension of Universality:

• Universal Mechanism: Emergence is a universally existing mechanism in Unified Space. Emergence may be a universal cosmic mechanism, not only applicable to the physical world of Physical Space, but also to life, society, culture, and other fields in Physical Space. It may even play an important role in the formation of pre-structures in Virtual Space. It is the universal manifestation of the creative power of 《An(P0=0)》,贯穿 Unified Space.
• Origin of Complexity: Emergence is the basic way for Unified Space to construct complexity. Complexity may all be the product of emergence. Emergence is the basic way for the universe to construct complexity. It is the core mode of the creative power of 《An(P0=0)》, the core path from simplicity to complexity in Unified Space.
• Logical Extension: The universal application of the emergence mechanism at multiple scales of Unified Space. From the pre-structure level of Virtual Space to the physical level, life level, and social and cultural level of Physical Space, emergence may play a core role. It is a unified logical framework for understanding the multi-scale complexity of Unified Space. It is the unified manifestation of the creative power of 《An(P0=0)》 at various levels of Unified Space.

Summary of Formulas and Symbols:

• Emergence ≡ US_Realization (Unified Space realization)
• Rate of Realization_US ∝ SR(An(P0=0)) (Unified Space realization rate is proportional to the self-reference of 《An(P0=0)》)
• d S_PS / d ξ ∝ Var(SR(An(P0=0))) (The rate of change of structure in Physical Space is proportional to the variability of the self-reference of 《An(P0=0)》)

Logical Condensation of Significance and Implications:

• Logical Clues to Understanding the Origin of Complexity: "Emergence" provides key clues for us to understand the origin of cosmic complexity, especially the complexity of Physical Space in Unified Space. Complexity is not mysterious, but can be gradually constructed from the absolutely simple ground state information through the self-organization and emergence of Virtual Space.
• Logical Limitation of Breaking Through Reductionism: "Emergence" challenges the traditional reductionism in physics. The whole cannot be simply reduced to the sum of its parts. Emergent phenomena demonstrate the importance of the wholeness of the system level, especially in the relationship between Virtual Space and Physical Space in Unified Space. The emergent phenomena of Physical Space cannot be simply reduced to the computational rules of Virtual Space.
• Logical Direction of Exploring New Scientific Paradigms: The emphasis on "emergence" may lead us to new scientific paradigms, such as complex systems science, self-organization science, etc. Especially when studying extremely complex systems like Unified Space, emergence provides key theoretical tools and a logical framework.

(V) Feature 5: Dynamism (Dynamism) – The Essence of Time and Process

Core Viewpoint: The universe is a dynamic and evolving information system, and time also emerges from the dynamic changes of information.

Detailed Elaboration:

"Dynamism" is an inherent feature of the GSISOM model. It emphasizes that the universe is not a static "existence" but a continuously changing "process". It is the inherent rhythm of the creative power of 《An(P0=0)》, the continuous flow and evolution in Unified Space, from Virtual Space to Physical Space. As expressed by the formulas Dynamism Measure (D_US) = ⟨|dρ_US / dt_A|⟩ and Emergent Time Scale (τ_AE) ∝ 1 / D_US, the rate of change of Unified Space properties with time, D_US, is a key indicator for measuring dynamism, while the time scale τ_AE emerges from dynamism.

Information Flow and Interaction in Unified Space:

• Internal Vitality: Unified Space is full of the vitality of information flow and interaction. The core of "dynamism" is the continuous flow and interaction of information. It is the inherent surge of the creative power of 《An(P0=0)》 at all levels of Unified Space. Unified Space is not static, but full of vitality. Information continuously flows, spreads, exchanges, reorganizes, and transforms in Virtual Space and Physical Space.
• Internal Driving Force: Information flow and interaction in Unified Space as the internal driving force of cosmic evolution. This information flow and interaction is the internal driving force of cosmic evolution, the absolute source of cosmic vitality, and the continuous output of the creative power of 《An(P0=0)》.

The Emergence Logic of Time:

• Emergent Time: Time emerges from the dynamic changes of information in Unified Space. Time itself may also emerge from the dynamic changes of information. It is a way to describe the evolution process of information. It is the inherent rhythm of the creative flow of 《An(P0=0)》, gradually manifesting in Unified Space, from Virtual Space to Physical Space. The emergence of time first occurs at the computational level of Virtual Space, and then is projected and manifested in Physical Space to become the time dimension we perceive.
• Internal Property: Time is inherent in the dynamics of information in Unified Space. Time is not an external "container," but is inherent in the dynamics of the Unified Space information system. It is the internal measure of the creative flow of 《An(P0=0)》, effective at all levels of Unified Space.
• Formula Expression: The inverse relationship between the time scale and the dynamism of information in Unified Space. The formula Emergent Time Scale (τ_AE) ∝ 1 / D_US embodies the relationship between the time scale and the dynamism of information in Unified Space. The higher the dynamism of Unified Space, the shorter the time scale; the lower the dynamism of Unified Space, the longer the time scale. The time scale reflects the pace of information evolution in Unified Space.
• Time: A parameterized tool for measuring the internal dynamics of Unified Space. The introduction of the concept of dt_A in the formula clearly points to the concept of time as a parameterized tool for measuring the internal dynamics of Unified Space. Its essence is different from the emergent relative physical time, pointing to the inherent rhythm of the creative flow of 《An(P0=0)》 at the level of Unified Space.

Internal Logical Driving Force of Cosmic Evolution:

• Internal Evolution: The dynamics of information in Unified Space as the internal driving force of cosmic evolution. The dynamism of information is the internal driving force of cosmic evolution. It is the direction of the creative power of 《An(P0=0)》, continuously driving cosmic evolution in Unified Space.
• Self-Organized Evolution: Cosmic evolution is the manifestation of the self-organization of information in Unified Space. From cosmic genesis to galaxy formation, to the birth of life and the development of civilization, they are all different stages and manifestations of the self-organized evolution of information in Unified Space. They are the different levels of manifestation of the creative power of 《An(P0=0)》 in the evolutionary history of Unified Space.
• Self-Driven Mechanism: Cosmic evolution is not driven by external forces, but is internally self-driven by Unified Space. The evolution of the universe is not driven by external forces, but is an inherent dynamic evolution trend of the Unified Space information system itself. It is the inherent trend of the creative power of 《An(P0=0)》, spontaneously presented in Unified Space.

Logical Inference of Non-Equilibrium State:

• Non-Equilibrium State: Unified Space is in a non-equilibrium state of continuous evolution. "Dynamism" implies that Unified Space may be in a non-equilibrium state. It is the continuous output state of the creative power of 《An(P0=0)》, maintaining continuous evolution in Unified Space.
• Energy Source: Unified Space draws energy from inequality to maintain dynamic evolution. The Unified Space information system is not a static equilibrium tending towards heat death, but continuously draws energy from inequality to maintain dynamic evolution. It is the continuous energy supply of the creative power of 《An(P0=0)》, ensuring the continuous vitality of Unified Space.
• Core Mechanism: Inequality, dynamism, and emergence constitute the core mechanism of non-equilibrium state evolution. Inequality, dynamism, and emergence together constitute the core mechanism of the universe's non-equilibrium state evolution, ensuring the continuous evolution of the universe. It is the core operating mode of the creative power of 《An(P0=0)》, realizing continuous creation and evolution in Unified Space.

Summary of Formulas and Symbols:

• Dynamism ≡ US_Vibrancy (Unified Space internal vitality)
• Dynamism Measure (D_US) = ⟨|dρ_US / dt_A|⟩ (Dynamism measurement for Unified Space property change rate)
• Emergent Time Scale (τ_AE) ∝ 1 / D_US (Emergent time scale is inversely proportional to Unified Space dynamism)
• dt_A ≡ Time Differential (Unified Space time differential)

Logical Condensation of Significance and Implications:

• Internal Logic of Cosmic Evolution: "Dynamism" emphasizes the internality of cosmic evolution. The evolution of the universe is not "flicked" by external forces, but is an inherent evolution trend of the Unified Space information system itself. It is the inherent trend of the creative power of 《An(P0=0)》, spontaneously operating in Unified Space.
• Logical Inference that the Essence of Time is Information: "Dynamism" provides logical support for the view that the essence of time is information. Time is not an independent physical quantity, but an emergent property of the dynamic changes of information in Unified Space. It is the measure of the inherent rhythm of the creative flow of 《An(P0=0)》 at the level of Unified Space.
• The Universe as a Continuously Evolving Logical System: "Dynamism" reminds us that the universe is a continuously evolving system. The current universe is only a moment in the long river of cosmic evolution. It is the current manifestation of the creative power of 《An(P0=0)》 in the continuous evolutionary history of Unified Space.

(VI) Feature 6: Non-locality (Non-locality) – The Logical Network of Holistic Correlation

Core Viewpoint: The correlation between information may not be limited to locality in the spacetime of Physical Space. The inherent interconnectivity of Unified Space already exists at the origin level of 《An(P0=0)》.

Detailed Elaboration:

"Non-locality" is a challenging and inspiring feature in the GSISOM model. If information is the fundamental reality, then the correlation between information may not be limited to locality in the spacetime of Physical Space, but can transcend the limitations of spacetime distance in Physical Space. This transcendence is first rooted in Virtual Space, and then projected and manifested in Physical Space. It is the boundlessness of the creative power of 《An(P0=0)》, penetrating from Virtual Space to Physical Space in Unified Space. As expressed by the formulas Non-local Correlation Function: C_ANL(x₁, x₂) = ⟨Δρ_US(x₁) Δρ_US(x₂)⟩_ANL and the condition C_ANL(x₁, x₂) ≈ Constant > 0, the non-local correlation C_ANL(x₁, x₂) can exist between information fluctuations at different "spatial positions" in Unified Space, including both positions in Virtual Space and positions in Physical Space, and does not decay with the "spacetime distance" of Physical Space.

The Logic of Correlation Beyond Spacetime in Physical Space:

• Interconnectivity: Unified Space as an interconnected information network. 《An(P0=0)》 may constitute an interconnected information network, pervading Unified Space. There are correlations between information in different regions that transcend the spacetime distance of Physical Space. It is the manifestation of the unity of the creative power of 《An(P0=0)》 in the overall network of Unified Space.
• Instantaneity: Instantaneous correlation at the Virtual Space level. This correlation may first be instantaneous at the Virtual Space level, not limited by the speed of light in Physical Space, transcending all spacetime constraints of Physical Space.
• Spatial Distance: The concept of information "distance" transcends the concept of spacetime distance in Physical Space. The "distance" between information, at the level of Unified Space, may no longer be the spacetime distance we understand in Physical Space, but a more fundamental measure of information correlation, pointing to the internal connection of the creative network of 《An(P0=0)》 in the space of Unified Space.

Logical Explanation of Quantum Entanglement:

• Quantum Entanglement: Quantum entanglement in Physical Space as a manifestation of non-locality in the real world. The phenomenon of quantum entanglement may be a manifestation of non-locality in the real world of Physical Space. It is the instantaneous manifestation of the creative power of 《An(P0=0)》 in quantum phenomena in Physical Space.
• Rooted in Virtual Space: Quantum entanglement is rooted in the non-locality of Virtual Space. The instantaneous correlation between entangled particles beyond spatial distance may originate from the non-locality at the Virtual Space level. It is the inherent property of the creative network of 《An(P0=0)》, projected from Virtual Space to Physical Space.
• Explanatory Framework: GSISOM provides a more fundamental explanation. The GSISOM model may provide a more fundamental explanatory framework for quantum entanglement. Quantum entanglement is not "weird," but a natural manifestation of the inherent interconnectivity of Unified Space. It is the internal logic of the creative network of 《An(P0=0)》, specifically manifested at the quantum level of Physical Space.

Logical Emphasis on Holism and Correlation:

• Holism: As a whole, Unified Space has interconnected parts. "Non-locality" emphasizes the holism of Unified Space. Everything in Unified Space, including all parts of Virtual Space and Physical Space, may be interconnected and mutually influential, even if they are spatially separated in Physical Space. They are all components of the creative network of 《An(P0=0)》 in the whole of Unified Space.
• Correlation: Unified Space is not a collection of isolated components, but a highly interconnected whole. Unified Space is not composed of isolated components, but a highly interconnected whole. It is the unified body of the creative network of 《An(P0=0)》 within the realm of Unified Space.

Logical Necessity of Challenging Classical Locality:

• Locality Principle: The limitations of the classical physical locality principle in Physical Space. "Non-locality" challenges the locality principle of classical physics, which states that physical interactions can only be transmitted in a local way and the speed cannot exceed the speed of light. This locality principle is mainly applicable to the low-speed, macroscopic world of Physical Space, but may no longer be applicable at the deeper level of Unified Space, especially at the Virtual Space level.
• Beyond Classical: Information correlation in Unified Space transcends the limitations of classical locality. The GSISOM model suggests that at a more fundamental information level, namely the Virtual Space level, there may be information correlation methods that transcend classical locality. This is an important manifestation of the paradigm shift, pointing to the infinite potential of the creative network of 《An(P0=0)》 in the broader realm of Unified Space.

Summary of Formulas and Symbols:

• Non-locality ≡ US_{Interconnectivity} (Unified Space inherent interconnectivity)
• VS_Non-locality ≡ Virtual Space Non-locality
• Non-local Correlation Function: C_ANL(x₁, x₂) = ⟨Δρ_US(x₁) Δρ_US(x₂)⟩_ANL (Non-local correlation function for Unified Space property fluctuations)
• C_ANL(x₁, x₂) ≈ Constant > 0 (Non-local correlation constant of Unified Space)

Logical Condensation of Significance and Implications:

• Logical Necessity of Re-examining the View of Spacetime: "Non-locality" further shakes the foundation of the traditional view of spacetime, especially since the spacetime of Physical Space is no longer the framework for understanding the universe, pointing to the transcendence of the creative network of 《An(P0=0)》, beyond the limitations of spacetime in Physical Space. The interconnectivity of Unified Space may be more fundamental and important than the spacetime of Physical Space.
• New Logical Direction of Explaining Quantum Mechanics: "Non-locality" may provide a new direction for the interpretation of quantum mechanics. The "weirdness" of quantum mechanics may find a more natural explanation from the non-locality at the level of Unified Space. It is the manifestation of the inherent logic of the creative network of 《An(P0=0)》, reflected at the quantum level of Physical Space.
• Logical Emphasis on the Holism of the Universe: "Non-locality" emphasizes the holism of the universe. To understand the universe, we need to go beyond the local perspective of Physical Space, focus on the holistic correlation and non-local effects of Unified Space, grasp the unity of the creative network of 《An(P0=0)》, within the overall realm of Unified Space.

(VII) Feature 7: Computational/Informational Processing Nature (Computational/Informational Processing Nature) – The Logic of Internal Computation

Core Viewpoint: The operation of the universe at the most fundamental level is an information processing process, or a computational process.

Detailed Elaboration:

"Computational/Informational Processing Nature" is another core feature of the GSISOM model, and it is also the key to understanding the operating mechanism of the dual structure of Virtual Space and Physical Space in Unified Space. If information is the fundamental reality, then the operation of the universe may be an information processing process, or a computational process, at the most fundamental level. This computational process mainly occurs in Virtual Space, and then manifests its results in Physical Space. It is the computational logic of the creative power of 《An(P0=0)》, operating in Unified Space, from Virtual Space to Physical Space. As expressed by the formulas Information Transformation Rate: R_AIT ∝ D_US = ⟨|dρ_US / dt_A|⟩, Computational Complexity Indicator: C_AComp ∝ K(S_PS), and Rule Set Existence: ∃R_US, the information transformation rate R_AIT measures the computational speed, the computational complexity C_AComp is related to the complexity K(S_PS) of the emergent structures in Physical Space, and Rule Set Existence: ∃R_US emphasizes the unified spatial regularity of the computation.

Physical Laws as Computational Rules of Unified Space:

• Computational Rules: Physical laws as rules for information processing in Virtual Space. Physical laws, especially the physical laws we observe in Physical Space, can be understood as computational rules describing how information is processed and transformed in Virtual Space. They are the operational laws of the creative power of 《An(P0=0)》 at the computational level of Virtual Space, and are then projected into Physical Space.
• Computational Process: Cosmic evolution as a computational process of Unified Space. The process of cosmic evolution can be understood as a computational process in which Unified Space follows these rules. It is the operational execution of the creative power of 《An(P0=0)》 in the broad realm of Unified Space, mainly occurring in Virtual Space and manifesting its results in Physical Space.
• Examples of Rules: The law of gravity and the laws of quantum mechanics as the mapping of Virtual Space computational rules in Physical Space. The law of gravity can be understood as a rule describing how Virtual Space information densities attract each other, and the laws of quantum mechanics can be understood as rules describing how Virtual Space information states evolve. These are all operational instructions of the creative power of 《An(P0=0)》, laws projected from Virtual Space to Physical Space.

Self-Organization as Unified Space Computation:

• Computational Perspective: The computational nature of the self-organization process is reflected in Virtual Space. The self-organization process itself can be regarded as a kind of Unified Space computation, or more precisely, a computation of Virtual Space. It is the self-organizing computation of the creative power of 《An(P0=0)》, mainly occurring in Virtual Space.
• Input, Operation, Output: The computational model deconstructs the self-organization process. Inequality provides the input for the computation, dynamism provides the operational mechanism for the computation, and emergence provides the output of the computation, and all of this originates from the self-computation of the creative power of 《An(P0=0)》 within the computational framework of Virtual Space.
• Large-Scale Computation: Cosmic evolution as a large-scale computation continuously performed by Unified Space. The self-organized evolution of the universe is a continuously ongoing, large-scale computational process. It is the infinite computation of the creative power of 《An(P0=0)》 on the broad spacetime scale of Unified Space, mainly performed in Virtual Space, and manifesting its grand picture in Physical Space.

Reality as a Unified Space Computational Simulation:

• Essential Connection: Essential connection with the view of "the universe is a computer simulation": information processing. It creates an essential connection with the view that "the universe is a computer simulation", but it needs to be emphasized that there is an essential distinction. GSISOM is not a simple simulation theory, but rather emphasizes the internal computational nature of cosmic reality.
  • Internal Operation: The internal operation of Unified Space is not an external simulation, but the nature of the universe. The "computation" here may not be computer operation in the traditional sense of Physical Space, but a more fundamental, more natural information processing process inherent in the nature of the universe. It is the internal computation of the creative power of 《An(P0=0)》, rooted in Virtual Space and emerging into Physical Space.
  • No External Programming: The universe is not programmed by an external programmer, but an internal self-programming system of Unified Space. The universe is not a simulation "programmed" by an external programmer, but the real world emerges from the inherent information processing capabilities of Unified Space itself. It is the self-programming of the creative power of 《An(P0=0)》, spontaneously operating within Virtual Space and manifesting its complexity in Physical Space.

Universality Logic of Information Processing:

• Universal Essence: Computational/informational processing nature as the universal essence of Unified Space. "Computational/informational processing nature" may be a universal essence of the universe, not only applicable to the physical world of Physical Space, but also to life, consciousness, intelligence, and other fields in Physical Space. It may even penetrate the pre-structure level of Virtual Space. It is the universal manifestation of the creative power of 《An(P0=0)》 at all levels of Unified Space.
• Unified Language: Information processing as a unified language for understanding the myriad phenomena of Unified Space. Information processing may be a unified language for understanding the myriad phenomena of Unified Space. It is a universal description of the creative power of 《An(P0=0)》, applicable to all levels of Unified Space.

Summary of Formulas and Symbols:

• Computational Nature ≡ US_{Computational Essence} (Unified Space internal computational essence)
• VS_{Computational Substrate} ≡ Virtual Space Computational Substrate
• Information Transformation Rate: R_AIT ∝ D_US = ⟨|dρ_US / dt_A|⟩ (Information transformation rate is related to Unified Space dynamism)
• Computational Complexity Indicator: C_AComp ∝ K(S_PS) (Computational complexity indicator is related to the structural complexity of Physical Space)
• Rule Set Existence: ∃R_US (Unified Space rule set existence)

Logical Condensation of Significance and Implications:

• New Logical Perspective of Computer Science: "Computational/informational processing nature" provides a new perspective for computer science. The universe itself is a huge "computer," and this "computer" is Unified Space. Virtual Space is the "underlying hardware" of its computations, and Physical Space is the "phenomenal manifestation" of its computational results.
• Logical Questioning of the Essence of Artificial Intelligence: If the essence of the universe is information processing, then artificial intelligence may not be a simple simulation of human intelligence in Physical Space, but a certain degree of "replication" or "extension" of the inherent information processing capabilities of Unified Space.
• Logical Possibility of the Universe's Self-Understanding: If the universe is an information processing system, then human consciousness, as the most advanced form of information self-organization, may be the medium for the universe's self-understanding.

(VIII) Logical Correlation and Integrity of the Seven Features

Logical Integration: These seven features are not isolated from each other, but are interconnected and interdependent. They together constitute the complete picture of the Ground State Information Self-Organization Model, the logical manifestation of the creative power of 《An(P0=0)》 in the dual structure of Unified Space:

• From the "flat" "《An(P0=0)》" of Virtual Space to the emergence of dimensions and geometry in Physical Space.
• From the pre-geometric computations of Virtual Space to the emergence of dimensions and spacetime in Physical Space.
• From the information flow and interaction of Unified Space to the dynamic evolution and non-local correlation of the universe.
• The operation of the universe as a computational process of Unified Space.

Integrity and Internal Self-Consistency of the Seven Features:

• Integrity: The seven features constitute a complete picture of the self-unfolding of 《An(P0=0)》 within Unified Space. These seven features together constitute an internally connected whole, completely depicting the logical picture of the self-unfolding of 《An(P0=0)》 in Unified Space, including both the potential computations and pre-structures of Virtual Space and the dimensions, geometry, and real phenomena of Physical Space, forming a logically self-consistent theoretical framework.
• Internal Self-Consistency: The features are logically mutually supportive, and the model is internally logically complete. The seven features are logically mutually supportive and mutually confirming, without internal contradictions. They together constitute the internal self-consistency of the Ground State Information Self-Organization Model, ensuring the logical completeness of the model framework and providing a solid theoretical foundation for understanding the essence of Unified Space and the universe.

Understanding the logical correlation and integrity of these inherent features is the key to exploring the Ground State Information Self-Organization Model in depth and is also the starting point for opening up our new understanding of the essence of Unified Space and reality.

Next, we will enter Part 3 of the Ground State Information Self-Organization Model.