Gravitational Decoherence Rate Scales as cos²θ with Measurement Basis

Author: Kafkas M. Caprazli ORCID: 0000-0002-5744-8944 Affiliation: Independent Researcher, Wolfsburg, Germany Contact: caprazli@gmail.com

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Core Prediction

$\Gamma(\theta) = \Gamma_0 \cos^2\theta$

Gravitational decoherence rate depends on measurement basis. Position measurement reveals full decoherence; momentum measurement reveals none.

Key Experimental Signature

τ(45°)/τ(0°) = 2 — independent of mass, separation, or Γ₀

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Paper Status

• Abstract (LOCKED)
• Section 1: Introduction
• Section 2: Projection Principle
• Section 3: Derivation
• Section 4: Predictions
• Section 5: Experimental Protocol
• Section 6: Discussion
• Section 7: Conclusion
• Figure 1
• References (19 entries)
• main.tex
• main.pdf

✅ PAPER COMPLETE — READY FOR SUBMISSION

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Submission Plan

Step	Target
Preprint	Zenodo (DOI)
Primary	Physical Review Letters
Backup 1	Physical Review A
Backup 2	New Journal of Physics

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Project Markers

• JUNCTION1: This paper
• JUNCTION2: Future multi-dimensional extension Γ(θ,φ), delayed-choice protocols

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Key Numbers

Parameter	Value
Core prediction	Γ(θ) = Γ₀cos²θ
Critical ratio	τ(45°)/τ(0°) = 2
Reference mass	10⁻¹² kg
Superposition separation	1 μm
τ₀ (position)	0.14 s
τ (45° quadrature)	0.28 s
τ (momentum)	∞

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Ethics and Declarations

AI Use Disclosure

This paper was developed with AI assistance:

Tool	Provider	Role
Claude Opus 4.5	Anthropic	Drafting, iterative refinement, LaTeX formatting, figure code
Perplexity AI	Perplexity	Literature search, bibliography compilation

The author takes complete responsibility for all scientific content, derivations, and conclusions. AI tools were used as assistants, not as intellectual contributors.

Conflicts of Interest

The author declares no conflicts of interest.

Funding

This research received no external funding.

Data Availability

No experimental data were generated. All results are derived analytically from the published Diósi master equation.

Ethics Approval

Not applicable (theoretical research, no human or animal subjects).

Reproducibility

All derivations are presented in full. The prediction Γ(θ) = Γ₀cos²θ can be independently verified from Equations (3)–(6) in the paper.

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File Structure

quantum-gravity-paper/
├── main.tex                 # Master LaTeX document
├── main.pdf                 # Compiled PDF
├── references.bib           # BibTeX bibliography
├── README.md                # This file
├── cover_letter.txt         # Journal submission cover letter
├── sections/                # Individual section files
│   ├── 01_introduction.tex
│   ├── 02_projection_principle.tex
│   ├── 03_derivation.tex
│   ├── 04_predictions.tex
│   ├── 05_experimental_protocol.tex
│   ├── 06_discussion.tex
│   └── 07_conclusion.tex
└── figures/
    ├── figure1.pdf          # Main figure
    ├── figure1.png          # PNG version
    └── generate_figure.py   # Figure generation script

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Citation

If you use or build upon this work, please cite:

@article{Caprazli2025,
  author  = {Caprazli, Kafkas M.},
  title   = {Gravitational Decoherence Rate Scales as $\cos^2\theta$ with Measurement Basis},
  year    = {2025},
  note    = {Preprint available on Zenodo},
  orcid   = {0000-0002-5744-8944}
}

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License

This work is licensed under CC BY 4.0.