The True Nature of Vector Fields: From Imaginary Arrows to Real Surfaces

This paper proposes a redefinition of vector fields not as fundamental physical realities, but as imaginary constructs orthogonal to real, dynamically generated closed surfaces in space. By introducing a complex space formulation Ψ=Φ+i, where Φ represents a real evolving surface and its imaginary normal vector, we reinterpret the nature of force, field, and spatial interaction. The paper argues that closed surfaces, not point-based vectors, are the true carriers of physical structure and interaction, offering a surface-based alternative to conventional field theory. Author Tetsuo Konno(今野哲夫)

Institutions

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-06-16
DOI
https://doi.org/10.5281/zenodo.15675457
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

The True Nature of Vector Fields: From Imaginary Arrows to Real Surfaces

Zenodo (CERN European Organization for Nuclear Research)
Algebraic and Geometric Analysis
article

The True Nature of Vector Fields: From Imaginary Arrows to Real Surfaces

article en

Abstract

This paper proposes a redefinition of vector fields not as fundamental physical realities, but as imaginary constructs orthogonal to real, dynamically generated closed surfaces in space. By introducing a complex space formulation Ψ=Φ+i, where Φ represents a real evolving surface and its imaginary normal vector, we reinterpret the nature of force, field, and spatial interaction. The paper argues that closed surfaces, not point-based vectors, are the true carriers of physical structure and interaction, offering a surface-based alternative to conventional field theory. Author Tetsuo Konno(今野哲夫)

Zenodo (CERN European Organization for Nuclear Research)
Kappa Omicron Nu Honor Society (US)
Openalex Percentile: Top 41%
Algebraic and Geometric Analysis
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.