Wall and Ball I Einsteins relativitetsteori In Einstein's theory of rela- betraktas massökning som ett tivity, mass increase is re- generellt fenomen för alla fö- garded as a common phenomena remål som rör sig med en viss applied on all bodies moving hastighet relativt en betrak- with some velocity in rela- tare. Att det så förhåller sig tion to an outer observer. finns inget som bestyrker med However, there is nothing experiment, utan utgör en ren saying that is true, but may interpolering av resultat från be a pure interpolation of partikelfysiken. Att partiklar results got from the particle som accelereras i elektromag- physics, where particles are netiska fält ökar sin massa drived to accelerate in elec- lär vara experimentellt bekräf- tromagnetical fields, obvious- tat, dock inte att detta gäll- ly confirmed by these experi- er för alla föremål som acce- ments but not having any com- lereras, exempelvis i fri rymd. mon use for all bodies moving in free space. Experimentellt kan det vara It may be hard to negate such svårt att vederlägga en sådan a theory by experiment, so we teori, vi får nöja oss med ett have to be satisfied with a tänkt experiment, dock vars pure theoretical "thought ex- utgång måste stämma med vad periment",using basic concept som teorin förespråkar, nämli- of the suggested theory as gen att symmetri föreligger, start. A main thesis is that varmed menas att det fysikali- there is symmetry in all phy- ska resultatet är oberoende av sical processes as seen in vem som är betraktaren. different reference systems. I detta föreslagna experiment In the here suggested experi- kolliderar en stålkula med en ment, a steel ball is colli- tung stålvägg. Vid kollisionen ding a heavy steel wall. When inbromsas kulan och studsar the steel ball hit the wall, elastiskt tillbaka i motsatt it will be retarded och stop- riktning till infallsriktning- ped, then accelerated up to en. its initial velocity, but in the opposite direction. Vid kollisionen uppstår en At the event of collision, a kortvarig intryckning av mate- a short termed compression rialet i stålkula och vägg och of the steel ball and the en impulskraft uppstår. steel wall is occurring. Utgångspunkten är att kulan The start assumption is that färdas med så hög hastighet the relative velocity between relativt väggen, att en mass- ball and wall is so high that ökning av 1.28 gånger av ku- the ball (or the wall) has lans vilomassa föreligger. increased its mass 1.28 times the rest mass. Då kulan träffar väggen, som In the first case, the ball är mycket kompakt och stabil, collide with the wall, which inbromsas kulan och stannar, is very hard and stabil. The varefter den åter accelereras ball will retard and stop and till sin ursprunlinga hastig- then accelerated again to its het. Vid inbromsningen förlo- original velocity, bit in the rar kulan massa och vid acce- opposite direction. At retar- lerationen återgår massan hos dation, the ball loses 28% kulan till det värde den hade of its mass but get it back för kollisionen. again when accelerating. En tid/kraft plott beräknas A time/force plot is done on på detta förlopp. this envelope. I ett andra fall är situatio- In the second case the situa- nen att vi betraktar kulas tion is the opposite. Here som varande i sitt vilotill- we regard the vball as being stånd, dvs har massan 1. in rest and the wall moving Väggen däremot rusar fram with high velocity towards mot kulan med en så hög has- the wall. In this case the tighet att väggens vikt rela- wall is overloaded with mass tivt kulan har ökat 1.28 gång- 1.28 times and the ball has er. rest mass. Vad som händer i detta senare In this case the ball is acce- fallet är att kulan drives lerated by the wall when the upp till väggens hastighet collision occur. The wall is och ökar därmed sin massa so heavy that it reamin its 1.28 gånger sin vilomassa. velocity unchanged, but the Kraft/tid förloppet beräknas ball will accelerate and in- även för detta fall och en crease its mass 1.28 times plott skrives ut på förloppet. rest mass.A plot is done even for this situation. Kraft/tidförloppet som utplot- The force/time envelope is tas måste bli symmetriskt,dvs plotted out for the two cases, de båda kurvorna måste samman- which of course is the same falla. Det fysikaliska stöt- event and of that reason must förloppet blir dock inte det- give the same measurement re- samma i båda fallen, dvs ass- sult. However,the calculation ymetriskt. Därav kan vi dra clearly show that the two slutsatsen att massökning av force/time curves not are föremål,accelerade i fri rymd symmetrical, hence mass incre- inte äger någon giltighet ase is an assymmetrical pro- utan kan avfärdas som en sess in these cases it occur påhittad dogm som helt saknar and of that reason in conflict förankring i verkligheten. with the theory of relativity basic concepts. (* the program is written in TurboPascal and need a graph *) (* driver of EGAVGA type *) program wallball; uses graph; label 1; const c=3E8; (* light velocity m/s *) k=1E16; (* steel ball spring constant *) m0=1; (* steel ball rest mass rel. to the wall *) m_start=1.28; (* steel ball relativistic mass *) dt=1E-11; (* incremental time interval *) k1=1.8E-8; (* calculus plot constant *) k2=1.5E16; (* calculus plot constant *) var v:real; (* the momentan velocity of wall or ball *) graphdriver,graphmode,grapresult:integer; q,errorcode,frek:integer; colour:integer; (* color of plot *) dv:real; (* the differential change in velocity v *) s:real; (* the spring momentan movement *) ds:real; (* the spring differential movement *) t:real; (* the total elapsed time *) fmax:real; (* maximum force in steel ball impact *) f:real; (* momentan force in steel ball *) m:real; (* momentan relativistic mass *) v_start:real; (* start velocity of steel ball or wall *) v_max:real; (* maximum velocity of steel ball *) n:integer; (* calculus parameter *) v_block:real; (* *) x,y:real; signum:integer; (* calculus parameter *) (************ procedure init graph ***********************) procedure init_graph; begin graphdriver:=detect; initgraph(graphdriver,graphmode,'c:\tp\BGI'); errorcode:=graphresult; if errorcode <>grok then begin writeln('Graphics error: ',grapherrorMsg(errorCode)); writeln('program aborted..'); halt(1); end; end; procedure text; begin setcolor(red); outtextxy(30,40,'Red curve : ball collide with wall '); setcolor(blue); outtextxy(30,60,'Blue curve : wall collide with ball'); setcolor(green); outtextxy(30,80,'x-axis = elapsed time, y-axis = impulse force '); end; procedure present; begin Writeln('The program is written and compiled in TurboPascal and '); writeln('needing a EGAVGA colour graphic driver for plotting on screen'); Writeln('The program shows that Einsteins theory of relativity'); writeln('is wrong. It present a falsifying test of the mass increase'); writeln('dogma in accord with the relativity basic concept'); writeln('The problem is as follow: a steel ball collide with a massive '); writeln('wall with a heavy mass. The ball and the wall are supposed'); writeln('having an elasticity equivalent with a steel spring with'); writeln('a spring constant of, k. In the first case the steel ball'); writeln('collide with the wall with a relativistic velocity so high that'); writeln('the balls mass is 1.28 times greater than in the rest state'); writeln('The time/force plot is calculated. In the second case the '); writeln('collision happen when the ball is in rest and the wall is '); writeln('coming with the same velocity as in the first case. The '); writeln('time force plot is calculated as in the first place'); writeln('The force/time plot must be the same in both the cases'); writeln('There shall not has any matter wether the ball or the wall'); writeln('moves, the plot must be symmetrical'); writeln('But it will not be symmetrical, the result depends on which'); writeln('side is regarded as moving at start'); writeln('Hence, we can draw the conclusion that the mass increase '); writeln('concept as described by the relativistic concept is erroneous'); writeln('and may be inhibited from science'); end; procedure calculus; begin while f>0 do begin (* f is the steel spring force *) ds:=signum*(v_block-v)*dt; (* the mom. compression of the steel spring *) s:=s+ds; (* the total compression of the steel spring *) dv:=signum*k*s*dt/m; (* change in velocity of steel ball *) v:=v+dv; (* total velocity of steel spring *) t:=t+dt; (* the total elapsed time *) f:=k*s; (* the force pressure in the steel spring *) m:=m0/SQRT(1-(v/c)*(v/c)); (* relativistic mass of steel ball *) x:=300*t/k1; (* x plotter parameter for total elapsed time *) y:=300*f/k2; (* y plotter parameter for force in spring *) putpixel(trunc(x),trunc(y),colour); (* plot time and force *) end; end; begin present; readln; init_graph; setpalette(0,yellow); setcolor(blue); (* The steel mass collide with the wall in rest *) s:=0; (* start steel spring compression *) t:=0; (* start time *) m:=m_start; (* start mass of steel ball *) v_start:=c*sqrt((1-(m0/m_start)*(m0/m_start))); (* steel ball velocity *) v:=v_start; (* stell ball start velocity *) f:=0.1; v_block:=0; (* start velocity of wall *) signum:=-1; colour:=6; (* calculus of case 1 *) (* observe that the same calculus procedure is used in both cases *) calculus; (***********) (****************************************) (* In this case the steel ball is in rest and the wall is *) (* colliding the steel ball with the start velocity as the *) (* same as in case above *) s:=0; (* start steel spring compression *) t:=0; (* start time *) m:=m0; (* start mass of steel ball at rest *) v:=0; (* start velocity of steel ball at rest *) f:=0.1; signum:=1; v_block:=v_start; colour:=8; text; (* calculus of case 2) (* observe that the same calculus procedure is used in both cases *) (* hence symmetric *) calculus; readln; closegraph; end. (* end of program wallball *) ! ! ! . . x ! x . x ! . x ! x . x ! . x ! x . ! . x ! .x . x ! . x . x ! . .x ! ! . = ball collide with wall ! x = wall collide with ball ! ------------------------------------------------------------------- The plot of force/time is not symmetrical as regarded from the two systems. The same evensz give two different experimental results, hence the idea that mass increase as result of acceleration of bodies in space, not can be true. We all know that the curves must be exact symmetrical.