MAJOR RESTRUCTURING:
* Document flow reversed: Mathematical proof → Philosophy → AI collaboration
* Reduced from 29 pages to 14 pages through better organization
* Clear thread: discovery of simple truth hidden for 100 years
New document structure:
* Abstract: Rewritten to present F = ℏ²/(γmr³) = ke²/r² upfront
* Introduction: Explicitly states why physics/philosophy/AI are mixed
* Section 2: Mathematical identity (moved from later sections)
* Section 3: Philosophical considerations (consolidated all journey content)
* Section 4: Human-AI collaboration (unchanged from v24)
* Section 5: Discussion and conclusions
Content reorganization:
* All philosophical content moved to Section 3:
- Crisis and lying on ground
- "I think therefore I am an electron"
- Standing on hydrogen atom thought experiment
- Dog walk story
- Spacetime from 3D rotation
* Mathematical proof now standalone in Section 2
* Parameters defined inline on first appearance
* Removed redundant content from multiple sections
Key improvements:
* Clearer narrative: Math truth → How we got there → What it means
* More direct: "This paper presents a mathematical identity..."
* Emphasizes discovery over theory building
* Structured from most to least objective
Title changed to: "The Electromagnetic Force as Three-Dimensional
Geometric Necessity: A Mathematical Identity"
14 pages total (from 29) - more focused and direct
BREAKING CHANGES:
* Formula simplified from F = ℏ²s²/(γmr³) to F = ℏ²/(γmr³)
* Removed quantum number s from all calculations (always equals 1)
Major discoveries:
* High-precision calculations reveal systematic deviation of 5.83×10⁻¹²
* This identical deviation across ALL 100 elements proves mathematical exactness
* The universe is simpler than we thought - no s² needed
Timeline corrections:
* Fixed false claim about Claude mobile app during dog walk
* Clarified project started with ChatGPT-4.5, Claude came later
* Retained AI co-authorship with specific versions documented
AI collaboration reality:
* Documented systematic AI hallucination of "results"
* Both ChatGPT-4.5 and Claude claimed to run scripts they couldn't execute
* Human role was catching hallucinations, not just "providing insights"
* Added section on real human-AI collaboration challenges
Content additions:
* Note referencing published v23 on viXra (2506.0001)
* Lessons learned about productive use of AI hallucination
* Methodology for building AI domain expertise through iteration
* Parallel between human psychiatric crisis and AI confidence without verification
Key insight: Initial overcomplification (adding s²) masked elegant truth.
When properly tested with consistent methodology, s=1 always.
29 pages total
Testing the claim "works accross the periodic table" again
has been to grandiose. As this script shows there
is a flaw. The formula only works if s==1. But then
it works one hundret percent as we will "hopefully" show
in the next revision.
This also adds a critique of version 23 from
chatGPT. But addressing the critical points would again
bring us closer to the version 21. Where we already had
imagined the tehter as bosons. But we wanted to keep
imagination out of version 23.
- Expanded acknowledgments to clarify collaborative nature of work
* Emphasized this would not have been possible without AI assistance
* Distinguished human contributions (original insights, philosophical
observations, core questions) from AI contributions (mathematical
formalism, calculations, connections to physics frameworks)
* Explicitly stated this is NOT an AI hallucination
* Highlighted concrete validation: zero-parameter predictions,
99%+ agreements, testable predictions
* Framed as example of AI amplifying human creativity and intuition
This change properly credits the collaborative process while maintaining
scientific integrity and addressing potential skepticism about AI-assisted
research.
- Split observations_discussion.tex into scientific discussion only
* Moved observational tests and predictions to earlier in flow
* Kept "What We Have Learned" discussion before philosophy
* Removed conclusion, acknowledgments, and references
- Created main_footer.tex containing post-philosophy content
* Conclusion section with philosophical integration
* Acknowledgments
* Data and Code Availability
* Bibliography commands
- Updated main_document.tex compilation order
* observations_discussion now comes before philosophical_considerations
* main_footer added as final input after philosophy
The original thoughts from the more grandiose v21 were
lost. But to me they are important enough even if they
might hinder acceptance of this paper. So i placed
them at the end.
- Complete paradigm shift to 3D atomic conceptualization
- Multi-atom verification from H to Au
- Zero free parameters across periodic table
- Quantum gravity revealed as electromagnetic force
Repository: https://git.esus.name/esus/spin_paper
Andre Heinecke
esus