Jozef Radomanski: Difference between revisions
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'''Józef Radomański''' is a Polish independent researcher based in Nysa, in the Opole Voivodeship of Poland. He works in mathematical physics and applied mechanics, and is known for his studies of the algebra of paravectors, for a paravector-based reformulation of the mathematics underlying special relativity and electrodynamics, and for a series of papers explaining gliding and other forms of unpowered flight through Newtonian mechanics. | |||
==Biography== | |||
Radomański is based in Nysa, in the Opole region of southern Poland. He has published his research independently, distributing his work through preprint archives such as arXiv and through the research-sharing platform ResearchGate. His interests span mathematical physics, the foundations of special relativity, and the aerodynamics of flight, and he lists physics, sailing and gliders among his areas of activity. | |||
==Work== | |||
Radomański's mathematical work centres on the '''algebra of paravectors'''. In his paper ''Algebra of paravectors'' (2016), he treats paravectors as algebraic objects with a ring structure and introduces an "integrated product" under which paravectors acquire geometric properties analogous to those of ordinary vectors. Within this framework he defines notions of parallelism, perpendicularity and angle, and shows that the structures satisfy familiar geometric relations such as the parallelogram law and the Pythagorean theorem. | |||
He applied this algebra to the mathematics of physics in ''Four-divergence as a paravector operator. Invariance of the wave equation under orthogonal paravector transformation'' (2016). There he presents four identities involving the space-time differential operator known as the four-divergence and uses them to demonstrate that the wave equation retains its form under orthogonal paravector transformations. The paper also examines how equations containing such differential operators transform when the reference frame is rotated, relating the results to the Lorentz transformation and the formalism of special relativity and electrodynamics. | |||
In a separate line of work, Radomański has published several papers arguing that gliding and other forms of unpowered flight can be described using Newtonian mechanics based on the actual airflows produced by a moving body, in contrast to the conventional account framed in terms of fluid mechanics and relative airflow. These include ''Gliding explained by Newtonian mechanics'', which describes three ways in which a wing can generate lift by deflecting air downward, together with related papers extending the approach to flying squirrels, snakes and wingsuits, to paragliders, and to the flight of boomerangs. | |||
==Selected works== | |||
* ''Algebra of paravectors'' (2016), arXiv:1601.02965 | |||
* ''Four-divergence as a paravector operator. Invariance of the wave equation under orthogonal paravector transformation'' (2016), arXiv:1605.04499 | |||
* ''How boomerangs fly according to Newtonian mechanics'' | |||
* ''Gliding explained by Newtonian mechanics'' | |||
* ''How flying squirrels, snakes and wingsuits glide explained by Newtonian mechanics'' | |||
* ''Paragliding explained by Newtonian physics'' | |||
==External links== | |||
* [https://arxiv.org/a/radomanski_j_1 Józef Radomański's papers on arXiv] | |||
* [https://arxiv.org/abs/1601.02965 ''Algebra of paravectors'' (arXiv:1601.02965)] | |||
* [https://arxiv.org/abs/1605.04499 ''Four-divergence as a paravector operator'' (arXiv:1605.04499)] | |||
[[Category:Scientist|Radomanski Jozef]] | [[Category:Scientist|Radomanski Jozef]] | ||
Latest revision as of 14:51, 18 July 2026
Jozef Radomanski | |
|---|---|
| Residence | Nysa, opolskie, Poland |
| Known for | physic, sailing, gliders |
Józef Radomański is a Polish independent researcher based in Nysa, in the Opole Voivodeship of Poland. He works in mathematical physics and applied mechanics, and is known for his studies of the algebra of paravectors, for a paravector-based reformulation of the mathematics underlying special relativity and electrodynamics, and for a series of papers explaining gliding and other forms of unpowered flight through Newtonian mechanics.
Biography
Radomański is based in Nysa, in the Opole region of southern Poland. He has published his research independently, distributing his work through preprint archives such as arXiv and through the research-sharing platform ResearchGate. His interests span mathematical physics, the foundations of special relativity, and the aerodynamics of flight, and he lists physics, sailing and gliders among his areas of activity.
Work
Radomański's mathematical work centres on the algebra of paravectors. In his paper Algebra of paravectors (2016), he treats paravectors as algebraic objects with a ring structure and introduces an "integrated product" under which paravectors acquire geometric properties analogous to those of ordinary vectors. Within this framework he defines notions of parallelism, perpendicularity and angle, and shows that the structures satisfy familiar geometric relations such as the parallelogram law and the Pythagorean theorem.
He applied this algebra to the mathematics of physics in Four-divergence as a paravector operator. Invariance of the wave equation under orthogonal paravector transformation (2016). There he presents four identities involving the space-time differential operator known as the four-divergence and uses them to demonstrate that the wave equation retains its form under orthogonal paravector transformations. The paper also examines how equations containing such differential operators transform when the reference frame is rotated, relating the results to the Lorentz transformation and the formalism of special relativity and electrodynamics.
In a separate line of work, Radomański has published several papers arguing that gliding and other forms of unpowered flight can be described using Newtonian mechanics based on the actual airflows produced by a moving body, in contrast to the conventional account framed in terms of fluid mechanics and relative airflow. These include Gliding explained by Newtonian mechanics, which describes three ways in which a wing can generate lift by deflecting air downward, together with related papers extending the approach to flying squirrels, snakes and wingsuits, to paragliders, and to the flight of boomerangs.
Selected works
- Algebra of paravectors (2016), arXiv:1601.02965
- Four-divergence as a paravector operator. Invariance of the wave equation under orthogonal paravector transformation (2016), arXiv:1605.04499
- How boomerangs fly according to Newtonian mechanics
- Gliding explained by Newtonian mechanics
- How flying squirrels, snakes and wingsuits glide explained by Newtonian mechanics
- Paragliding explained by Newtonian physics