Published November 30, 2025 | Version v8
Preprint Open

!DEPRICATED! Existence of stabilized spacetime structures (κ-solitons): A testable prediction from a mechanically derived ΔC→ΔL framework

Description

DEPRICATED

2025-11-30

Due to continued community interest in the deprecated framework, and to ensure full transparency of the theory’s evolution, we have added two earlier pre-submission drafts — originally submitted to the Astrophysics and Advanced Mathematics communities on 2025-10-11 and 2025-10-15, respectively — as supplementary files.  

These drafts (not peer-reviewed, not accepted) illustrate the development path toward the current, rigorously revised framework (https://zenodo.org/records/17756556)
They are provided strictly for historical and methodological reference — not as current scientific claims.  

Included in the archive From_Everything_to_Something.7z is also the Claude-generated Python code used for early CDM-related simulations (e.g., κ-soliton density profiles under adiabatic cooling), which some may find useful for pedagogical or reproducibility purposes.  

Archived drafts:  

  • 10.5281/zenodo.17329604  - From Everything  (ΔC)  to → Something (ΔL)  Hubble Anisotropy in the ΔC-L Framework in set-theory with Kakeya constraints
  •   10.5281/zenodo.17360550 - "ΔC → to → ΔL"  A thesis that may induce a paradigm-change

⚠️ Reminder: The κ-soliton as dark matter candidate was explicitly retracted in the 2025-11-13 update (see record description above). These early files reflect pre-revision thinking.

 

2025.11.13

This earlier version has been superseded by significant theoretical improvements. Upon rigorous examination and constructive critique, we recognized that certain foundational assumptions required substantial revision.

The core insight of emergent reality from a chaos substrate (ΔC→ΔL) remains valid, but the mathematical framework and cosmological implications have been fundamentally redeveloped with greater rigor and empirical testability.

The current, improved theory is available at:
https://zenodo.org/records/17604735

We thank the research community for its engagement and welcome continued discussion around the refined framework.

------

„This document represents a theoretical discussion paper and is not peer-reviewed.
It is intended to invite verification and analysis within the open research community.“

2025.11.11

Correction: The κ-Soliton Understanding**

We initially mischaracterized κ-solitons as dark matter candidates. The proper understanding:
- Primordial κ-configuration establishes initial conditions
- **Not directly observable** in current epoch
- Potentially detectable through:
  - Primordial gravitational wave spectra
  - CMB spectral distortions
  - Late-time energy injection signatures

a New Class of Stabilized Space-Time Structures (“κ-Solitons”)

We propose a novel astrophysical object – a κ-soliton – a stabilized, standing
gravitational-wave packet that is not supported by conventional mass but by a postulated
fundamental coupling/energy flow (the κ-flow) between our observable 4-dimensional
space-time and a higher-dimensional bulk = (Chaos-Logical-Bubble-Membrane with our universe in it).

This Version 3.0 of the ΔC→ΔL framework closes the axiomatic basis and provides a mechanical proof for the genesis of reality. The ZERO AXIOM defines reality (ΔL) as the result of the Temporal Collapse of an eternal, fractal Chaos Substrate (ΔC) via convergence to a Self-Coherent Germ (SK). This event establishes the UNIFIED κ-FLOW AXIOM: the universal law of cross-dimensional filtering. This axiom unifies the Vacuum Catastrophe (Λ is the sum of all filtering losses), the Hubble Tension (κ5→4 gradient), and Dark Matter (κ-Solitons) within a single, elegant, and mathematically consistent framework. The theory is now fully derived and delivers rigorous, falsifiable predictions for Dark Energy (w=−1.000), the causality of spacetime, and κ-soliton dynamics.

We tried to be as Okham conform as possible as in this >>new<< paper on Zenodo suggests: (discovered 07.11.2025)
"Simplicity, Not Simplism: In Defence of Occam's Razor as Scientific Necessity"
https://zenodo.org/records/17538237

  1. Everything = “κ-fitted emergence from ΔC”
  2. Elimination of ad hoc assumptions:
  3. Mathematical economy:  ΔL = {x ∈ ΔC | ¬Paradoxical(x) ∧ Kakeya_Stable(x) ∧ Temporal_Consistent(x)}
  4. We have shifted the COMPLEXITY:  One complex substrate (ΔC) + simple filter rules
  5. The ultimate Ockham's razor test: “Could it be simpler?
    1. Answer: NO!
      Any attempt to “simplify” ΔC:
      - Would DESTROY its explanatory power
      - Would require ad hoc assumptions
      - Would eliminate predictive power
  6. We have:
    Fewer basic assumptions than any other physical framework
    More explanatory power than all others combined
    No superfluous entities

And to my persoan defence:

And I realy did not change anything or added anything that was not there:
I just changed the Beginning-Condition of all theories from 0 to 1, thereafter all equations changing.

Methods

Disclaimer:

Please keep in Mind that the ∆C is not a logical imaginary continuums but real infinte fluctuation in ∆C (a too simple term).

It is like the plank-lenght being full of quantums with infinte positive and negativ potential in time, gravity or any other property that cancel each other (also creating nothing for a moment) or even erinforce each other.

So a hostile super-infinity! which then make "finite" universes through set-theory and kakeya harmonizations possible.

These immerging Logical-bubbles-stroms then may create Logical-universes in their core.

The theory's maths are all done by our current Machine intellects: Deepseek, Chatgpt, Qwen, Gemini, Claude and Groq compound as I am not a professional scientist, but the idea and conclusions are made by me and derived from the answers of the Intellects.

About the Machine Intellecta (MIs): I see them as entities, whit a lot of human knowldge, so in a way, we talk with our brightest scientist and philosphers but corrected through mathematical algorythms.

Files

1-spacetime-Silition.pdf

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Dates

Submitted
2025-11-06