The current approaches to relativistic kinematics lack
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The current approaches to relativistic kinematics lack a natural framework for representing physical quantities. The use of quaternions provides a novel approach to relativistic kinematics.
Evidence profile
Sourced from the stated research gap and future-work section and stated challenges of the source papers, classified as general, drawn from work published between 1973 and 2026, spanning 3 journals. Those papers have been cited 350 times in total.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 4 representative gaps
- Quaternionic Möbius Transformations: a Different Approach to Relativistic Kinematics (Work in Progress). (2026) · Zenodo (CERN European Organization for Nuclear Research) · doi
The current approaches to relativistic kinematics lack a natural framework for representing physical quantities. The use of quaternions provides a novel approach to relativistic kinematics.
generalstated research gapevidence 5/5Keywords: current approaches relativistic kinematics lack natural framework representing - Quaternionic generalization of the Eneström–Kakeya Theorem (2026) · ANNALI DELL'UNIVERSITA' DI FERRARA · doi
The quaternionic context has not been fully explored. The distribution of zeros for polynomials with quaternionic variables and quaternionic coefficients has not been well covered in the literature.
generalstated research gapevidence 5/5Keywords: quaternionic context has been fully explored distribution zeros - The Quaternion Calculus (1973) · American Mathematical Monthly · cited 175× · doi
To further explore the properties and applications of the quaternion calculus. To develop new methods for generating quaternion functions from regular functions of the complex variable z. To study the use of the quaternion calculus in axisymmetric fluid flow.
generalfuture-work sectionevidence 5/5Keywords: further explore properties applications quaternion calculus develop new - The Quaternion Calculus (1973) · American Mathematical Monthly · cited 175× · doi
The lack of an appropriate hypercomplex number system. The quaternion calculus is little known in this country. The need for a systematic introduction to the quaternion calculus and its applications.
generalstated challengesevidence 5/5Keywords: lack appropriate hypercomplex number system quaternion calculus little
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