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

This collection represents the complete structural-theoretical formulation of the Theory of Local Relative Expansion (LRAE). 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 limitsIncluded and Referenced DocumentsThe following publications serve as pillars of the theory and are integral to this overarching work:Theory of Local Relative Expansion (LRAE)– Foundational principles, structure fields, impulse model, core equationsConceptual Clarification within the LRAE– Definitions of structure, time, mass, linearity, and nonlinearityStructural Thermodynamics in the LRAE– Entropy as irreversible structural reconfiguration instead of heat exchangeThe Structure Field f(xμ)f(x^\mu)f(xμ) as the Dynamic Core of the LRAE– Structure field dynamics, transition at ϵ→0\epsilon \rightarrow 0ϵ→0, collapse of linearityCompatibility of LRAE and General Relativity (GR)– Intersection and divergence zones, horizon transition, domain limitationsConclusive Hypothesis on the Feedback between LRAE and GR– Temporal bridging effects, continuity beyond geometric collapseTheory of Structurally Decoupled Matter (SEM)– Description of “dead” black holes (Element 0) as interaction-free storage fieldsTheory of Light-Decoupled Structure Fields (TLSF)– Massless systems (e.g. photons) outside the cyclic impulse processModel of Temporal Impulse Access in LRAE– Structural cycle, impulse theory, implications for movement and decayHypothesis on the Origin of Time Linearity in LRAE– Directionality of time as a result of structural past inscriptionMotion as Structure-Induced Expansion– Motion described as cyclical restructuring, not mechanical momentumMass in LRAE: Structure, Cycle, and Boundary Effects– Mass as structured linearity and its connection to temporal deformationThe Analog Universe – Structure, Time and Causality in a Continuous Cosmos– The universe as a structurally evolving analog systemLagrangian Formulation for Structure-Relativistic Fields– First mathematical embedding of LRAE using variational principleThe Cyclical Structural Process: NL → L → T → NL– Core formulation of the causal cycle modelTime Lens and Structural Transition around Element 0– 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.# License NoticePlease note: While Figshare defaults to "CC BY 4.0", the actual license applied to this work is:**Creative Commons Attribution–NonCommercial–NoDerivatives 4.0 International (CC BY-NC-ND 4.0)**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 creditOfficial license: https://creativecommons.org/licenses/by-nc-nd/4.0/Autorschaft: Andreas JungMit Unterstützung durch: KI (ChatGPT, OpenAI)Lizenz: Creative Commons Attribution 4.0 International (CC BY 4.0)Veröffentlichung: Juni 2025Kontakt: [e-mail] by Andreas Jung 2025