Local Relative Expansion Theory (LRAE) (Full with Roadmap)

This collection represents the complete structural-theoretical formulation of the <b>Theory of Local Relative Expansion (LRAE)</b>. The LRAE is based on the assumption that interaction, structure, and time are not separate domains but cyclically interwoven components of a universal structural process. At its core lies the structural field f(xμ)=NL+L+Tf(x^\mu) = NL + L + Tf(xμ)=NL+L+T, describing the dynamic state of all entities within spacetime.🔬 What is LRAE?The LRAE is a framework of structural physics that expands classical relativistic models (especially General Relativity, GR) by redefining their geometric validity as a function of structural accessibility and impulse. It is governed by the cyclic process:Nonlinearity→Linearity→Temporal Impulse→Nonlinearity\text{Nonlinearity} \rightarrow \text{Linearity} \rightarrow \text{Temporal Impulse} \rightarrow \text{Nonlinearity}Nonlinearity→Linearity→Temporal Impulse→NonlinearityThis formulation yields a unified explanation for motion, mass, expansion, thermodynamics, and the structural cessation of causality at gravitational limits<br><br>Included and Referenced Documents<br><br>The following publications serve as pillars of the theory and are integral to this overarching work:<b>Theory of Local Relative Expansion (LRAE)</b><br>– Foundational principles, structure fields, impulse model, core equations<b>Conceptual Clarification within the LRAE</b><br>– Definitions of structure, time, mass, linearity, and nonlinearity<b>Structural Thermodynamics in the LRAE</b><br>– Entropy as irreversible structural reconfiguration instead of heat exchange<b>The Structure Field </b><b>f</b><b>(</b><b>x</b><b>μ</b><b>)</b><b>f(x^\mu)</b><b>f</b><b>(</b><b>x</b><b>μ</b><b>)</b><b> as the Dynamic Core of the LRAE</b><br>– Structure field dynamics, transition at ϵ→0\epsilon \rightarrow 0ϵ→0, collapse of linearity<b>Compatibility of LRAE and General Relativity (GR)</b><br>– Intersection and divergence zones, horizon transition, domain limitations<b>Conclusive Hypothesis on the Feedback between LRAE and GR</b><br>– Temporal bridging effects, continuity beyond geometric collapse<b>Theory of Structurally Decoupled Matter (SEM)</b><br>– Description of “dead” black holes (Element 0) as interaction-free storage fields<b>Theory of Light-Decoupled Structure Fields (TLSF)</b><br>– Massless systems (e.g. photons) outside the cyclic impulse process<b>Model of Temporal Impulse Access in LRAE</b><br>– Structural cycle, impulse theory, implications for movement and decay<b>Hypothesis on the Origin of Time Linearity in LRAE</b><br>– Directionality of time as a result of structural past inscription<b>Motion as Structure-Induced Expansion</b><br>– Motion described as cyclical restructuring, not mechanical momentum<b>Mass in LRAE: Structure, Cycle, and Boundary Effects</b><br>– Mass as structured linearity and its connection to temporal deformation<b>The Analog Universe – Structure, Time and Causality in a Continuous Cosmos</b><br>– The universe as a structurally evolving analog system<b>Lagrangian Formulation for Structure-Relativistic Fields</b><br>– First mathematical embedding of LRAE using variational principle<b>The Cyclical Structural Process: NL → L → T → NL</b><br>– Core formulation of the causal cycle model<b>Time Lens and Structural Transition around Element 0</b><br>– Observable temporal lensing and field shift in late-stage collapse zonesRelevance of the WorkThis body of work presents the first purely structural theory of physics in which time, space, mass, and interaction are unified through a recursive cycle. LRAE provides:a causal description of the breakdown of spacetime at singularities,a coherent structural understanding of motion and temporal flow,a bridge to General Relativity without contradiction,and a new paradigm for interpreting cosmic expansion, gravitational anomalies, and light dynamics.Its significance lies in both its empirical relevance (e.g. through time lensing, interferometry) and its philosophical depth. The theory generates structure from structure — not as a reductionist model, but as a recursive, internally logical description of reality.<br># License Notice<br>Please note: While Figshare defaults to "CC BY 4.0", the actual license applied to this work is:<br>**Creative Commons Attribution–NonCommercial–NoDerivatives 4.0 International (CC BY-NC-ND 4.0)**<br>This means:- You may share and redistribute the material in any medium or format- **You may not use it for commercial purposes**- **You may not modify, transform, or build upon this material**- You must give appropriate credit<br>Official license: https://creativecommons.org/licenses/by-nc-nd/4.0/<br>Autorschaft: Andreas Jung<br>Mit Unterstützung durch: KI (ChatGPT, OpenAI)<br>Lizenz: Creative Commons Attribution 4.0 International (CC BY 4.0)<br>Veröffentlichung: Juni 2025<br>Kontakt: [e-mail]<br>Copyright by Andreas Jung 2025<br>