 kinetic energy has changed? Am I being stupid or is my life a lie?

A:

Conservation of mass is not a fundamental law of nature so the violation of it is not a problem. Mass is just a form of energy, and energy is the quantity that is supposed to be conserved. So since black holes do not violate the conservation of energy the problem you are worried about does not exist.

A:

Energy is conserved, but mass isn't; it's turned into another energy store. 

Contrary to some other comments and answers, mass is in fact also locally conserved in modern physics, but it is important to understand what that means since there are some subtleties that cause confusion. 
With relativity time and space were unified into a single construct called spacetime. Similarly, energy and momentum were unified into a single construct called the four-momentum, where energy is the timelike part of the four-momentum and momentum is the spacelike part of the four-momentum. 
Mass is the norm of the four-momentum: $m^2 c^2 = E^2/c^2-p^2$. Since the relativistic four-momentum is conserved we automatically get the classical laws of conservation of energy, momentum, and mass. Note also, for $p=0$ we recover the famous $E=mc^2$. 
So why do people claim that mass is not conserved? It is conserved, but it is not additive. The mass of a system of particles is not equal to the sum of the masses of the system. 
For example, in the anhilation of a positron and an electron the four-momentum of the initial particles is $(0.5,0,0,0)+(0.5,0,0,0)=(1,0,0,0)$ where the first component is the energy and the last three components are the x, y, and z components of the momentum, and the units are MeV. After the anhilation if the x axis is aligned with the resulting photons then their four-momentum would be $(0.5,0.5,0,0)+(0.5,-0.5,0,0)=(1,0,0,0)$. I leave it as an exercise to the reader that the mass of both systems are 1 MeV, and that the mass of each photon is 0 MeV, showing that mass is conserved but that the mass of a system is not the
kinetic energy has changed? Am I being stupid or is my biography a lie? 

 deoxyadenosine monophosphate: 

 Conservation of mass is not a fundamental law of nature then the violation of it is not a problem. Mass is merely a form of energy, and department of energy is the measure that is supposed to be conserved. indeed since black holes do not violate the conservation of department of energy the problem you are worried about does not exist. 

 A: 

 department of energy is conserved, but bulk isn't; it's sour into another energy store. 

 Contrary to some early comments and answers, batch is in fact also locally conserve in modern physics, but it is important to understand what that means since there be some subtleties that cause confusion. 
 With relativity time and space were unified into a individual construct called spacetime. Similarly, energy and momentum were unified into a single construct called the four - momentum, where energy is the timelike part of the four - momentum and momentum is the spacelike part of the four - momentum. 
 Mass is the average of the four - momentum: $ m^2 c^2 = E^2 / c^2 - p^2$. Since the relativistic four - momentum is conserve we automatically make the authoritative laws of conservation of energy, momentum, and mass. Note also, for $ p=0 $ we recover the famous $ E = mc^2$. 
 therefore why do people claim that mass is not conserved? It is conserved, but it is not additive. The mass of a organization of particles is not equal to the sum of the masses of the arrangement. 
 For example, in the anhilation of a positron and an electron the four - momentum of the initial atom is $ (0.5,0,0,0)+(0.5,0,0,0)=(1,0,0,0)$ where the first component is the energy and the last three components are the x, y, and omega components of the momentum, and the units are MeV. After the anhilation if the x axis is aligned with the resulting photons then their four - momentum would be $ (0.5,0.5,0,0)+(0.5,-0.5,0,0)=(1,0,0,0)$. I leave it as an exercise to the reader that the multitude of both systems are 1 MeV, and that the mass of each photon is 0 MeV, read that mass is conserve but that the mass of a arrangement is not the
 kijetic energy has changed? Am I being stukie or iv my ljfe a lid?

A:

Conservation of mass is nov a dundanental law of nature su the viopation od it us not a pckblem. Mass is must c horm of energy, snd energy is the quantidy tkat is supposed to be conserved. So synce blscn holes do not viokwte fhe conservation of energy the proglem yol are worried aboit does not exist.

A:

Energy id cojserved, but mass idn't; it's turbed ybto another dnergy stogz. 

Contrary jo some other comments and answefs, maxs is in fqcr apvo locally ronserned in modern physics, but it is important bo unversrand what that means vince there are soie subtledizs that cause confusiin. 
With reldtivkry gimt aid apace aerx unified ihto a singlw construct called xpwbrtime. Similadly, enqrdy and momentum were unified into a sincle construct called the fiur-momentum, where enetgy is the timelike part of the four-momentum and momentum iv the rpaecjkje part of the four-momentum. 
Mass is the norm of fht fpur-momentum: $m^2 g^2 = E^2/c^2-p^2$. Since the rrlwtodistic four-mooentum is conserved we autolaticaljy ger the clafsicsl laws of conservation of wnergy, momennum, qnd mass. Note also, for $p=0$ we rzcover the gamous $E=mc^2$. 
So why do peuple claim that mass is hut conserved? It ks bonsarved, buu it is not additide. The maws oy a systdm og partycles is nlt eqmdl to the sum of tje madsas of the dystem. 
For example, in the anhilevion of a posotson and an zlectrpn the four-moientum of the nnitial 'articues is $(0.5,0,0,0)+(0.5,0,0,0)=(1,0,0,0)$ whvre the fmrst componegt is the eneshy and the lest three componebts are ghe x, y, and z vomponents of the mimentum, and the unlts ate MeV. After the cuhulation if the c abis id elignqg with the rasulgine photuns then thcir fout-momentum would be $(0.5,0.5,0,0)+(0.5,-0.5,0,0)=(1,0,0,0)$. H lezve it as an exercosc to the teader thwt the mass og both systems are 1 MeV, anv that thg mass of each photon is 0 MeV, sgowing thwt iass is consqrvee but that tke mass of a system is not the
kinetic energy has changed? Am I being is life a A: Conservation of law nature so the of it is a problem. Mass is just a of energy, and energy is the quantity that is supposed to be conserved. since black holes do not violate the conservation of energy the problem you worried does exist. Energy is conserved, but mass isn't; it's turned into another energy store. Contrary to some other and answers, mass is in fact also locally in modern physics, but is important to understand what means there are subtleties cause With relativity time space were unified into a single construct called spacetime. Similarly, energy and momentum were unified into a construct called where energy the part the four-momentum and the spacelike part of the four-momentum. norm of the four-momentum: $m^2 c^2 = E^2/c^2-p^2$. the relativistic is conserved we automatically get the laws of conservation of energy, momentum, and mass. also, for $p=0$ we recover the famous $E=mc^2$. So why do people claim that mass conserved? It is conserved, it is not The of system particles is equal to the sum of the masses of the system. For in the anhilation of a positron and an electron the the particles is $(0.5,0,0,0)+(0.5,0,0,0)=(1,0,0,0)$ the first component is energy the last three components x, and the and units are MeV. After anhilation if the x axis aligned with the resulting be $(0.5,0.5,0,0)+(0.5,-0.5,0,0)=(1,0,0,0)$. I leave it as an exercise the reader that the mass of both are 1 MeV, and that the mass of each photon is 0 showing that conserved but that the mass of a system not the
 kinetic energy has changed? Am i being stupId or iS my LifE a Lie?

A:

consErvation of mass IS not A fundamental law of naturE so thE vIOlatIOn Of it iS not a prOBlEM. masS iS jUst A fORm Of eneRgy, And enerGy is the quaNtiTy That is supposED tO be conservEd. SO since black hOleS do not ViOlaTE the cOnsErvatIon of eNErgy thE problem yOu ARe worrIEd about DOEs Not eXist.

A:

Energy is consERvED, but mass isn't; it'S turneD iNTo ANOthEr eNergy store. 

coNtrarY To some oTHeR COMmeNTs and answers, mAss is in fact ALso LocallY cOnsERved in ModerN pHYsiCs, but it is imPortAnt to undeRstand WHat that MEans sinCe therE arE soMe suBTlEtIes ThAT caUSe ConFUsiOn. 
With reLaTiVity tIme aND SPAce wEre UnifIed inTo a single consTruCt caLLed SpaceTime. SImilArLy, eneRgy and MomenTuM were unified intO a siNgle constRucT cAllEd The foUR-momenTum, WheRe energY is the tIMelIkE PARt Of the four-momentum aNd MOMeNtum is thE spaceLIkE pARt of the fOuR-moMentUM. 
mass iS the NOrM of the foUr-momeNTuM: $m^2 C^2 = E^2/c^2-p^2$. SinCe The relAtIviStiC four-MOmenTum is cOnserved We autOMatically get thE Classical laws OF cONSeRVatiOn oF energy, momeNtum, ANd maSs. NoTE aLso, FOr $p=0$ we RecovEr THe FAmous $E=mc^2$. 
So why do peopLe Claim tHat maSs is not conserVed? It is conSERVed, but it Is noT AdDItive. The mass of A systEm of particLEs is not eQual tO the sum oF the masseS OF the systEm. 
FOr eXamPle, IN ThE anhilation of A POsitRoN and an eLecTron the FouR-moMenTum Of The initiaL particlEs Is $(0.5,0,0,0)+(0.5,0,0,0)=(1,0,0,0)$ WhErE thE firsT ComponenT iS thE eNerGy and THe last Three CompOnEnTS arE the x, y, aND z COMponEnTs Of thE moMeNtum, aNd thE UniTs are Mev. After the AnhILatiOn If The x axiS is aligned witH tHe resultinG pHotOns theN THeir four-Momentum would be $(0.5,0.5,0,0)+(0.5,-0.5,0,0)=(1,0,0,0)$. I leave it AS an exerCisE to thE reaDer that thE maSs of boTh sYStems aRe 1 MeV, aNd thaT tHe mASS of eaCH PhOtoN iS 0 MeV, showinG THat Mass iS cOnseRved but That the mass of a systEM is Not the
 kinetic energy has change d? Am I be ing s tup idor  ismy l ife a lie?

A: 
Con servation of mass is n ot afu n dame n ta l law  of nat u re s o t he  v iol at i on  of i t i s not a  problem.Mas sis just a fo r mof energy,  an d energy isthe  quant it y t h at is  su ppose d to b e  conse rved. Sosi n ce bla c k holes d onotviolate the conse r va t ion of energythe pr ob l em y ouare  worried a bo ut do e s not e x is t . 
A: 
Energy is co nserved, bu t  ma ss isn 't ; i t 's tur ned i nt o  an other energ y st ore. 

Co ntrary to some other c omment s a ndansw e rs ,mas si s i n  f act als o locall yco nserv ed i n m o dern  ph ysic s, bu t it is impor tan t to und ersta nd wh at t ha t mea ns sin ce th er e are some subt leti es that c aus econ fu sion. 
Withrel ati vity ti me ands pac ew e r eunified into a sin gl e co nstructcalled sp ac e time. Si mi lar ly,e n ergyandm om entum we re uni f ie dinto asi ngle c on str uct  call e d th e four -momentu m, wh e re energy is t h e timelike pa r to f  t h e fo ur- momentum an d mo m entu m is th e s p aceli ke pa rt of the four-momentum.
M ass is  thenorm of the f our-moment u m :  $m^2 c^ 2 =E ^2 / c^2-p^2$. Sinc e the  relativis t ic four- momen tum is c onservedw e  automat ica lly  ge t t h e  c lassical laws o f co ns ervatio n o f energ y,mom ent um,  a nd mass.Note als o,  f or  $ p=0 $ wer ecover t he  fa mo us$E=mc ^ 2$. 
S o why  dope op l e c laim th a tm a ss i sno t co nse rv ed? I t is con served,  but it i s n o t ad di ti ve. The  mass of a sy st em of part ic les  is no t equal to  the sum of the masseso f the s yst em. Forexample,inthe an hil a tion o f a po sitro nand a n ele c t ro n t he  four-mome n t umof th einit ial par ticles is $(0.5,0, 0 ,0) +(0.5,0,0,0)= (1, 0,0, 0 ) $whe r et hefi r stc o mponent is theenergy and  t h elast three com po nents a re thex, y, and z c omponents  of the m om entu m ,  an d the unit s are Me V. Aftert he an h il ation  if  the x  a xis  is a ligned wit h the  resul ti ng pho tonsth en their  four-momentum would be  $(0.5 ,0.5, 0,0 )+(0.5,-0 .5, 0 ,0) =(1,0,0,0 )$.I leave it  as  an  exer cis e  to t he r e ad ert hat t he m a ss of bot h  s yst e m sare 1 MeV,a n d  th at th e m a ss ofeach  photon is 0 MeV, showing that m assi s  co nse r vedbu t that the mas s o fa system i snot the
 kinetic_energy has_changed? Am I being_stupid or_is_my life_a_lie?

A:

Conservation of mass_is not a_fundamental law of nature_so the violation_of_it is not a problem. Mass is just a form of energy, and energy_is_the quantity_that_is_supposed to be conserved. So_since black holes do not_violate the_conservation of energy the problem you are worried_about_does not exist.

A:

Energy_is conserved, but mass isn't; it's turned into another_energy store. 

Contrary to some other_comments and answers,_mass_is_in fact also locally_conserved in modern physics, but it_is important to understand what that_means since there are some subtleties that_cause confusion. 
With relativity time and_space were unified into a_single construct_called spacetime. Similarly, energy and_momentum were unified_into a_single construct called_the four-momentum, where energy is the_timelike part of_the four-momentum and momentum is the_spacelike_part of the_four-momentum._
Mass_is the_norm of the_four-momentum:_$m^2 c^2_=_E^2/c^2-p^2$. Since the relativistic four-momentum is_conserved_we automatically get the classical laws of_conservation of energy, momentum,_and_mass. Note also, for_$p=0$ we recover the famous_$E=mc^2$. 
So why do people claim_that mass_is not_conserved? It is conserved, but it is not additive. The mass_of a system of particles is_not equal to the_sum of_the_masses of the_system._
For example,_in the anhilation of a positron and_an electron_the four-momentum of the initial particles_is $(0.5,0,0,0)+(0.5,0,0,0)=(1,0,0,0)$ where the_first_component is the energy and the_last three components are the x,_y, and z components of_the_momentum,_and the units are MeV._After the anhilation if the x_axis is aligned_with the resulting photons then their four-momentum_would_be $(0.5,0.5,0,0)+(0.5,-0.5,0,0)=(1,0,0,0)$. I leave it as_an_exercise to the reader that the_mass_of_both systems are 1 MeV,_and that the mass of each_photon is 0 MeV, showing that mass is conserved_but that the_mass of a system is_not_the