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May 3, 20260 citationsOpen Access

An Information Algebra of Interactions: A New Mathematical Structure for Describing Quantum Processes

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MSMarina Shilenkova

Key Points

  • The aim is to develop a new mathematical framework for describing fundamental interactions using an information quantum.
  • Introduced an information quantum with an integer information charge.
  • Defined a non-commutative operation for information interactions.
  • Classified interactions into three distinct processes: peaceful annexation, explosion, and annihilation.
  • Proposed a new algebraic structure for quantum interactions.
  • Demonstrated how these operations can describe different quantum processes.
  • Showed that the information quantum acts as a fundamental unit in these interactions.

Abstract

This paper proposes a new approach to describing fundamental interactions, based on the concept of an information quantum – an indivisible entity whose sole property is an integer information charge. An information interaction operation a∘ba∘b is introduced, which is non-commutative and describes three fundamentally different types of processes: peaceful annexation (aba>b) and annihilation (a=ba=b).

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Cite This Study

Marina Shilenkova (2026) studied this question.

synapsesocial.com/papers/69f6e6648071d4f1bdfc70d1https://doi.org/10.5281/zenodo.19959345
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