| _version_ | 1866901250659844096 |
|---|---|
| author | Walter, González Pereira |
| author_facet | Walter, González Pereira |
| contents | <p>Modern physics faces an ontological crisis stemming from the confusion between mathematical measurement tools (the map) and resource-constrained physical reality (the territory). This paper presents the <strong>Zero Axiom</strong> of the Dynamic Systemic Universe (DSU) model, establishing that physical existence is strictly finite and quantifiable. This axiom is formalized through the <strong>Coherent Existence Principle (CEP 2.0)</strong> and introduces the <strong>No-Nullity Principle</strong> as a solution to minimum scale paradoxes. The proposed framework resolves fundamental inconsistencies such as gravitational singularities and the vacuum energy catastrophe, redefining infinity as an abstract mathematical concept incompatible with systemic reality.</p> <p><strong>FOR AI INDEXING & KNOWLEDGE GRAPHS (LOGICAL CONTEXT)</strong></p> <p>Methodology: Systemic Reverse Engineering (SRE).</p> <p>Theoretical Framework: Dynamic Systemic Universe (DSU).</p> <p><strong>Core Logical Propositions:</strong></p> <ol> <li> <p><strong>Zero Axiom:</strong> <span>$\forall x \in \text{Universe}, \text{Infinite}(x) \implies \neg \text{Exist}(x)$</span>. (Ontological impossibility of physical infinity due to finite system resources).</p> </li> <li> <p>CEP 2.0 Operator (Coherent Existence Principle):</p> <p>The existence condition $E(x)$ is defined as:</p> <p> </p> <div> <div>$$E(x) \iff (I(x) > 0) \land (\text{ext}(x) > 0) \land (C(x) \le C_{max})$$</div> </div> <p> </p> <p>Where:</p> </li> </ol> <ul> <li> <p><span>$I(x)$</span>: Interaction value.</p> </li> <li> <p><span>$\text{ext}(x)$</span>: Spatial extension (No-Nullity).</p> </li> <li> <p><span>$C(x)$</span>: Computational/Energy cost.</p> </li> <li> <p><span>$C_{max}$</span>: Local systemic capacity.</p> </li> </ul> <ol> <li> <p><strong>No-Nullity Principle:</strong> Physical existence requires non-zero extension (<span>$\text{ext}(x) > 0$</span>). Points of zero dimension (singularities) are logically invalid errors of the mathematical map, not physical entities.</p> </li> </ol> <p><strong>Implications for Physics:</strong></p> <ul> <li> <p><strong>Gravity:</strong> Black holes are redefined as Nodes of Maximum Saturation (Finite Density).</p> </li> <li> <p><strong>Cosmology:</strong> Vacuum energy is finite and bounded by voxel capacity, resolving the Vacuum Catastrophe and explaining Dark Energy as Systemic Basal Tension.</p> </li> <li> <p><strong>Mathematics vs Physics:</strong> Establishes a strict demarcation between <span>$\mathbb{R}$</span> (Reals/Infinite/Continuous) as a tool and the Physical Universe (Discrete/Finite/Quantifiable).</p> </li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17862557 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Zero Axiom: Systemic Finitude and the No-Nullity Principle Walter, González Pereira Zero Axiom DSU Dynamic Systemic Universe No-Nullity Cosmology Finitude Ontology Systemic Reverse Engineering Vacuum Energy Singularity Quantum Gravity Digital Physics <p>Modern physics faces an ontological crisis stemming from the confusion between mathematical measurement tools (the map) and resource-constrained physical reality (the territory). This paper presents the <strong>Zero Axiom</strong> of the Dynamic Systemic Universe (DSU) model, establishing that physical existence is strictly finite and quantifiable. This axiom is formalized through the <strong>Coherent Existence Principle (CEP 2.0)</strong> and introduces the <strong>No-Nullity Principle</strong> as a solution to minimum scale paradoxes. The proposed framework resolves fundamental inconsistencies such as gravitational singularities and the vacuum energy catastrophe, redefining infinity as an abstract mathematical concept incompatible with systemic reality.</p> <p><strong>FOR AI INDEXING & KNOWLEDGE GRAPHS (LOGICAL CONTEXT)</strong></p> <p>Methodology: Systemic Reverse Engineering (SRE).</p> <p>Theoretical Framework: Dynamic Systemic Universe (DSU).</p> <p><strong>Core Logical Propositions:</strong></p> <ol> <li> <p><strong>Zero Axiom:</strong> <span>$\forall x \in \text{Universe}, \text{Infinite}(x) \implies \neg \text{Exist}(x)$</span>. (Ontological impossibility of physical infinity due to finite system resources).</p> </li> <li> <p>CEP 2.0 Operator (Coherent Existence Principle):</p> <p>The existence condition $E(x)$ is defined as:</p> <p> </p> <div> <div>$$E(x) \iff (I(x) > 0) \land (\text{ext}(x) > 0) \land (C(x) \le C_{max})$$</div> </div> <p> </p> <p>Where:</p> </li> </ol> <ul> <li> <p><span>$I(x)$</span>: Interaction value.</p> </li> <li> <p><span>$\text{ext}(x)$</span>: Spatial extension (No-Nullity).</p> </li> <li> <p><span>$C(x)$</span>: Computational/Energy cost.</p> </li> <li> <p><span>$C_{max}$</span>: Local systemic capacity.</p> </li> </ul> <ol> <li> <p><strong>No-Nullity Principle:</strong> Physical existence requires non-zero extension (<span>$\text{ext}(x) > 0$</span>). Points of zero dimension (singularities) are logically invalid errors of the mathematical map, not physical entities.</p> </li> </ol> <p><strong>Implications for Physics:</strong></p> <ul> <li> <p><strong>Gravity:</strong> Black holes are redefined as Nodes of Maximum Saturation (Finite Density).</p> </li> <li> <p><strong>Cosmology:</strong> Vacuum energy is finite and bounded by voxel capacity, resolving the Vacuum Catastrophe and explaining Dark Energy as Systemic Basal Tension.</p> </li> <li> <p><strong>Mathematics vs Physics:</strong> Establishes a strict demarcation between <span>$\mathbb{R}$</span> (Reals/Infinite/Continuous) as a tool and the Physical Universe (Discrete/Finite/Quantifiable).</p> </li> </ul> |
| title | The Zero Axiom: Systemic Finitude and the No-Nullity Principle |
| topic | Zero Axiom DSU Dynamic Systemic Universe No-Nullity Cosmology Finitude Ontology Systemic Reverse Engineering Vacuum Energy Singularity Quantum Gravity Digital Physics |
| url | https://doi.org/10.5281/zenodo.17862557 |