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March 12, 20264 citationsOpen Access

Paper D1 — Mathematical Formulation of the Neutrino

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KSKeiji Sakamoto

Key Points

  • The research aims to explore the mathematical compatibility of mass minimality and phase communication in neutrinos using effective field theory.
  • Utilized effective field theory for mathematical formulation.
  • Decomposed Fisher information into spatial and phase components.
  • Analyzed phase structure in low-gradient phase vortex systems.
  • Demonstrated that phase structure remains intact as spatial gradients approach zero.
  • Redefined neutrinos as having spatial minimality and non-zero phase.”]},
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  • simple_explanation
  • mathematical concepts can be really interesting! Neutrinos, which are tiny particles, can have their mass reduced to nearly zero while still carrying information in the form of phase communication. This means they can exist without a lot of space, staying active and connected. Understanding this better helps scientists explore the nature of these particles and their role in the universe. 🌌

Abstract

This paper formulates, within the framework of effective field theory (EFT), the mathematical compatibility of mass minimality approaching zero and non-vanishing phase communication in a low-gradient phase vortex system based on the Koma density field. By decomposing Fisher information into spatial and phase components, it is shown that phase structure is preserved even in the limit where spatial gradients vanish. Neutrinos are thereby redefined as a spatially minimal and phase-nonzero structure. This paper is confined to the C-layer (syntactic layer); interpretive and philosophical dimensions are addressed in Paper D-2. Keywords: neutrino, low-gradient phase vortex, Fisher information, effective field theory, Koma Theory, information-arrangement density. Note on Mathematical Formalization This paper is presented as a structural hypothesis. Mathematical formalization and rigorous proof are intentionally left open, and external verification is welcomed.

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Cite This Study

Keiji Sakamoto (2026) studied this question.

synapsesocial.com/papers/69b2580996eeacc4fcec74c7https://doi.org/10.5281/zenodo.18919848
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