Microscopic Derivation of the Symbolic Entropic Framework Article Swipe

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Eslami, Nikoo ·

YOU? · · 2025 · Open Access · · DOI: https://doi.org/10.5281/zenodo.16938679

This technical companion paper provides the microphysical foundations for the "Symbolic-Entropic" cosmological framework. Using a causal short-memory coarse-graining of a UV sector on the closed-time-path (CTP), we derive the symbolic–entropic driver Ξ ≡ Ṡ − Γ Ṡ. The work focuses on the renormalization group (RG) structure that connects microscopic thermodynamics to macroscopic cosmology. We demonstrate that the renormalization toward the infrared is captured by a Wilsonian one-shell scaling argument for the dimensionless ratio y ≡ Ξ/μ² (where μ ~ H). This yields the minimal IR-attractive flow: dy/dlnμ = 2(y − c) This flow drives the tension field to the tracker solution Ξ → c H² at late times, providing the theoretical justification for the running vacuum energy ρ_Λ ∝ H² used in the main treatise. Technical Contributions Uniqueness Proof: We prove the uniqueness of the lowest-order local driver under the axioms of shift invariance and time-reparameterization covariance. Kernel Moments: We quantify how microscopic kernel moments generate the effective macroscopic friction Γ. EFT Mapping: We explicitly map the construction to the Effective Field Theory of Dark Energy, demonstrating consistency with a pinned-Ψ regime (α_M ≃ 0, α_T=0, α_K>0). Context: This paper supplies the UV-to-IR bridge for the phenomenology presented in the main treatise: "A Unified Framework for Emergent Spacetime and Cosmology from Symbolic-Entropic Dynamics."

Related Topics

Physics

Theoretical Physics

Phenomenology (Philosophy)

Congruence (Geometry)

Dark Energy

Concepts

Uniqueness Physics Axiom Scaling Theoretical physics Renormalization group Phenomenology (philosophy) Renormalization Universality (dynamical systems) Statistical physics Spacetime Causality (physics) Dimensionless quantity Cosmology Kernel (algebra) Impossibility Classical mechanics Lorentz covariance Extrapolation Flow (mathematics) Mathematics Effective field theory Scale invariance Quantum field theory Axiomatic system Equivalence (formal languages) Balanced flow Congruence (geometry) Field (mathematics) Dark energy Smoothing Axiom independence Vector field

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Landing Page: https://doi.org/10.5281/zenodo.16938679
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DOI: https://doi.org/10.5281/zenodo.16938679

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Title: Microscopic Derivation of the Symbolic Entropic Framework

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Publication year: 2025

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Publication date: 2025-11-30

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Authors: Eslami, Nikoo

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Concepts: Uniqueness, Physics, Axiom, Scaling, Theoretical physics, Renormalization group, Phenomenology (philosophy), Renormalization, Universality (dynamical systems), Statistical physics, Spacetime, Causality (physics), Dimensionless quantity, Cosmology, Kernel (algebra), Impossibility, Classical mechanics, Lorentz covariance, Extrapolation, Flow (mathematics), Mathematics, Effective field theory, Scale invariance, Quantum field theory, Axiomatic system, Equivalence (formal languages), Balanced flow, Congruence (geometry), Field (mathematics), Dark energy, Smoothing, Axiom independence, Vector field

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abstract_inverted_index.closed-time-path	25
abstract_inverted_index.Symbolic-Entropic	212
abstract_inverted_index."Symbolic-Entropic"	11
abstract_inverted_index.symbolic–entropic	30
abstract_inverted_index.time-reparameterization	146
cited_by_percentile_year
countries_distinct_count	0
institutions_distinct_count	1
citation_normalized_percentile