Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc
Abstract
We show that. with the help of the two well known Einstein assumptions used by him in the treatment of geometry on relativistically rotating disc, and elementary logical analysis only, two different and opposite models of rotating discs can be constructed: In one of them the disc, set rotating from the stationary state, changes neither its radius nor circumference, as measured from stationary inertial frame; while in the other both the radius and the circumference contract by the same Lorentz factor. We also show that one can construct discs whose contraction factors vary continuously from unity (no contraction) to the full Lorentz factor.
Keywords:
relativistically rotating disc / Einstein two assumptions / star disc / ring disc / Ehrenfest paradoxSource:
Foundations of Physics Letters, 2004, 17, 2, 183-195
DOI: 10.1023/B:FOPL.0000019655.70930.d6
ISSN: 0894-9875
WoS: 000220168900005
Scopus: 2-s2.0-1542290654
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VinčaTY - JOUR AU - Davidović, Dragomir M. PY - 2004 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2753 AB - We show that. with the help of the two well known Einstein assumptions used by him in the treatment of geometry on relativistically rotating disc, and elementary logical analysis only, two different and opposite models of rotating discs can be constructed: In one of them the disc, set rotating from the stationary state, changes neither its radius nor circumference, as measured from stationary inertial frame; while in the other both the radius and the circumference contract by the same Lorentz factor. We also show that one can construct discs whose contraction factors vary continuously from unity (no contraction) to the full Lorentz factor. T2 - Foundations of Physics Letters T1 - Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc VL - 17 IS - 2 SP - 183 EP - 195 DO - 10.1023/B:FOPL.0000019655.70930.d6 ER -
@article{ author = "Davidović, Dragomir M.", year = "2004", abstract = "We show that. with the help of the two well known Einstein assumptions used by him in the treatment of geometry on relativistically rotating disc, and elementary logical analysis only, two different and opposite models of rotating discs can be constructed: In one of them the disc, set rotating from the stationary state, changes neither its radius nor circumference, as measured from stationary inertial frame; while in the other both the radius and the circumference contract by the same Lorentz factor. We also show that one can construct discs whose contraction factors vary continuously from unity (no contraction) to the full Lorentz factor.", journal = "Foundations of Physics Letters", title = "Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc", volume = "17", number = "2", pages = "183-195", doi = "10.1023/B:FOPL.0000019655.70930.d6" }
Davidović, D. M.. (2004). Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc. in Foundations of Physics Letters, 17(2), 183-195. https://doi.org/10.1023/B:FOPL.0000019655.70930.d6
Davidović DM. Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc. in Foundations of Physics Letters. 2004;17(2):183-195. doi:10.1023/B:FOPL.0000019655.70930.d6 .
Davidović, Dragomir M., "Some logical implications of the two Einstein assumptions used in his analysis of geometry on a relativistically rotating disc" in Foundations of Physics Letters, 17, no. 2 (2004):183-195, https://doi.org/10.1023/B:FOPL.0000019655.70930.d6 . .