"Depricated" From Everything (ΔC) to → Something (ΔL) Hubble Anisotropy in the ΔC-L Framework in set-theory with Kakeya constraints

Depricated

02.12.2025
Historical Note (for transparency)
The core mathematical structures presented here—including the critical exponent α ≈ 0.44 linking coherence thresholds, dimensional transitions, and cosmological scaling—were developed independently and submitted for internal review on 2025‑10‑11. Subsequent advances in harmonic analysis (e.g. Nadjimzadah’s characterization of sticky Kakeya sets, arXiv:2511.xxxxx, Nov 2025) revealed deep formal parallels, but did not inspire the physical framework. This preprint preserves the original theoretical sequence as conceived prior to those publications, to ensure traceability of causal inference: the physics motivated the math—not vice versa. All numerical predictions (e.g. ℓ₁ ≈ 220 from N = 8 de Moivre minimization; aDM ∝ √ρb from C(α) ≥ 0.3) were fixed before external mathematical developments entered awareness.  

Please look here for the actual theory state:

https://zenodo.org/records/17776933

# From Everything (ΔC) to Something (ΔL): Hubble Anisotropy in the ΔC-L Framework

## Description
This work presents a fundamental paradigm shift in cosmology through the ΔC-L (Delta-Chaos to Delta-Logic) framework - a set-theoretic derivation of reality from first principles. The theory resolves multiple cosmological puzzles simultaneously:

**Key Empirical Discoveries:**
- 7.93 ± 0.16 km/s/Mpc Hubble constant depression in field environments
- 9.1 ± 1.2 km/s/Mpc directional anisotropy aligned with supergalactic plane  
- 17 km/s/Mpc redshift evolution specifically in field regions
- Quantitative coupling constant κ₅→₄ = 0.116 (theory predicted: 0.10)

**Core Axioms of ΔC-L Theory:**
1. **ΔC (Delta-Chaos):** Superinfinite set of all possible/impossible mathematical structures
2. **L (Logical Bubbles):** Maximal consistent subsets emerging from ΔC through statistical selection
3. **Dimensional Hierarchy:** Layered dimensional structure (D0-D11) with asymmetric coupling
4. **Kakeya Constraint:** Directional coverage requirement in discrete set-theoretic geometry
5. **Quantum Relations:** Observable quanta as stable configurations of set-theoretic relations
6. **Empirical H₀ Anisotropy:** Hubble constant as position-dependent vector quantity

**Implications:**
- Resolves ~50% of Hubble tension through environmental dependence
- Explains vacuum catastrophe (10¹²⁰ discrepancy) as dimensional filtering effect
- Provides set-theoretic foundation for dark matter/energy phenomena
- Challenges cosmic isotropy at fundamental level

This repository contains the complete theoretical framework, empirical analysis, and predictive models.