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Relativistic Mass : An Unnecessary Concept Hiroshi YOKOTA GPS 4 GPS 1 1 7 NHK 8 9 10 11 1 2 4 8 12 14 3 15 16! 29 9 11

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1!"!# 1 ' ' & '# '# '# ' ' & 2 y y' K K' u u' 1 x 2 K K x x' %'!$"%%'#!$#"$& # '#!%'#!$#""%(#!$#""#" '!%'!$""%(!$""#" $$%'#!$#"& #"% 24 %(!$"%%(#!$#"$!!% $$%'#!$#"& "% 25 ) )#!%&#" '# '#!$#!#"#"!!%'#!$#""!%(#!$#" ' '!$!&"#"!!%'!$""!%(!$"!'!$"%)(*!$"#!%'!$"!$%)(* ' '#!!'!$""!(!$"!!'#!$#""!(#!$#"!$"#!$#!$$!$#!%'#!$#"$&!!&"%!$!!%"&#%!'#!$#"!(!$"%)(*!$"#!%(!$"!$%)(* $$!%#!$#"&!$"#!$#!$!%(#!$#" "% 26!$# #$$!%#!$#"& $!!% "%%!$!!%"!(#!$#" 27

/ '#!$ 28!$$#!$% *)+!$'#% (% $% % #$'$!"% (% %(% K (% %(%$#( %($&( 26 27 4 4 %$ 4!$'#%$ #%'##%#!%"" #$'#!%" #!%"%( )-+ #!%"!(&!#!%"%%("!(!#!%"&%("!( " *., "%%( 29 % & / 30 #!%"# $$!%% "% ' (% ( (% 4 %(%$#( %($&(!$'#%!(&#%"!'"( (&!%$'#!(% #$ 31 "('&('"!#'#!%#&"!%$!$'#!%$&"!%#!"$#'"!''#"!'%!"$#%!'&#'"%!''#!'%!%'!%%$#%!('!(% 32 33 34 26 27 32 33 4 4

2!,!" 4 $#$!$%$$&$$'$#" $"#$!$%"$$&"$$'"$#" $'!%"$$'"!%"" $&!%"$"!$&"!%""#!$%"!%"" 8 10 12 35 36 %" "$%"%"%"$# 31 2 0 #!&$"$& "%$""%" "%"$&" "%"$!&"!'$"$' "%$"%" "%"$'" "%"$"!$!'" 37 38 "!$ 11 3 2016 3 2 2017 1 2013 1992 2017 8 4 2017 20 SB Creative, 2016 2017 NHK E 100 de 2012 11 NHK E 2017 4 12 2011 2001 2 1969 2 2 1978

2008 1981 1982 24 3 #!"#! 5!"#"! Physics Today, 1989 6 1993 EMAN URL http : //eman-physics.net/ 1 http : //eman-physics.net/relativity/increase.html!"#"!!"#"! http : //eman-physics.net/relativity/4momentum.html 2017 9 10 Summary The time of GPS is normally corrected taking into consideration the influence of the theory of relativity. Some magazines and books explaining the special theory of relativity make claims such as, As the velocity of a body increases, its mass increases. and Because the acceleration of a body decreases as the mass increases, its velocity cannot exceed the speed of light. The mass relative to the velocity is known as relativistic mass. However, the introduction of the concept of relativistic mass is based on misunderstanding and causes confusion. In this paper, I maintain that the concept of relativistic mass should not be introduced. The phenomena can be fully explained without reference to the concept. Key words relativistic mass, four-momentum vector, Lorentz covariance