. 4 Severe restrictions for the application of SEP The naive conception, on motion and gravity derived of EEP, had immediately problem in front of Newton and Special Relativity. SEP in Newtonian mechanics only is valid to c (1+Φ c2 ) (1+Φ c2 ) m ∂c ∂ x first order, i.e., two test masses separate to a little distance at a gravitational potential Φ, they would have equal acceleration and they would be at relative rest. However, at a second-order since they are at different positions, they experiment different gravitational force, as the tidal force proportional to Of other hand, in Special Relativity, SEP is valid only to the uniformly accelerated field and homogeneous gravitational field, also known as uniform gravitational field, existing in infinitesimal lapses of spacetime 4-M, although space and time taken separately, because one second is 300 million meters. This severe limitation in the application of SEP is due to the relativistic effects predicted on the space of shortening of length and of dilatation of the time must be null. As well as preserve the constancy of the speed of the electromagnetic wave in the vacuum. Such changes occur in direct function to the velocity in the accelerated field and according to equivalence principle of the gravitational potential in the gravitational field. 5 Einstein undertook the quest for a physical theory of gravity although without renouncing EEP. Einstein understood that the theory of static gravitational field only basing in EEP is insufficient, supposing the gravitational potential has something physical. It could be a phenomenon of the energy since it is associated to the speed of the electromagnetic wave. But, with the Absolute Differential Calculus, he reached contradictorily the generalization of the principle of relativity valid in the inertial systems to the accelerated systems. Such success was resulted of use of this mathematical apparatus that to Einstein permitted represent physical quantities as geometrical objects. Thus, Einstein replaced physical reality by its phantasmagoric geometric projection of its abstract background although at this moment due to methodological reason, i.e. modeling geometrically the reality. "Einstein's 1911 and 1912 papers on gravitation develop a scalar theory of static gravitational field, in which the velocity of light plays the role of the gravitational potential. Accordingly, the theory could not be invariant under Lorentz transformations. The principle of equivalence was in outright contradiction with the Special Relativity, and no generalization seemed at hand which would save the principles of the latter. When in 1912 Einstein undertook to master the tensor calculus with the help of
. 4 Severe restrictions for the application of SEP The naive invention, on apparent motion and gravity derived of EEP, had immediately problem in front man of Newton and Special Relativity. SEP in Newtonian mechanics entirely is valid to carbon (1+Φ c2) (1+Φ c2) m ∂c ∂ x inaugural order, i.e., two test batch separate to a little distance at a gravitational potential Φ, they would have equal acceleration and they would be at relative remainder. However, at a second - order since they are at different positions, they experiment unlike gravitational force, as the tidal force proportional to Of early hand, in Special Relativity, SEP is valid entirely to the uniformly accelerated field and homogeneous gravitational playing field, also known as uniform gravitational discipline, existing in infinitesimal lapses of spacetime 4 - M, although space and time accept separately, because one second is 300 million meters. This severe limitation in the application of SEP is due to the relativistic effects predicted on the space of shortening of duration and of dilatation of the time must be null. equally well as save the constancy of the amphetamine of the electromagnetic wave in the vacuum. Such changes happen in direct affair to the velocity in the accelerated field and harmonize to equivalence principle of the gravitational potential in the gravitational field. 5 Einstein undertook the quest for a forcible theory of gravity although without renouncing EEP. Einstein understood that the theory of static gravitational field merely basing in EEP is insufficient, supposing the gravitational potential has something physical. It could be a phenomenon of the department of energy since it is associated to the speed of the electromagnetic wave. But, with the Absolute Differential Calculus, he reached contradictorily the generalization of the principle of relativity valid in the inertial systems to the accelerated systems. Such success was resulted of manipulation of this mathematical apparatus that to Einstein let represent physical measure as geometrical object. Thus, Einstein replace physical world by its phantasmagoric geometric projection of its abstract background although at this moment due to methodological cause, i.e. modeling geometrically the world. " Einstein's 1911 and 1912 papers on gravitation develop a scalar hypothesis of static gravitational field, in which the velocity of light play the role of the gravitational potential. Accordingly, the hypothesis could not be invariant under Lorentz transformations. The principle of equivalence was in outright contradiction with the Special Relativity, and no generalization seemed at hand which would spare the principles of the latter. When in 1912 Einstein undertook to master the tensor calculus with the help of
. 4 Sfvere restrictions for tme application oy SEP Tie naivs concepgion, on motion and gravity dxrivwd of EEP, had immediately pfoblem in front od Nexton and Special Relativlcy. SEL in Uextonian mechanigs only is ealid to c (1+Φ c2 ) (1+Φ z2 ) m ∂c ∂ x first order, i.e., two test masfes sepsrwte to a littlg disuanse af a gravitational potential Φ, they sould heve equal accelrration and they would be wt rflative rest. Howevfr, at a secind-oweer since thdy are at different poaitions, they experiment differevt grcvitational fircf, as the tidel forbe proportional to Of other nand, in Speciak Rxlatuvity, SEP is valid onny to the uniformli acceleradeb field and homogeneoys gravhtathonau fidld, aksk knowj aa uniform fravitationql field, existing im ybfinitesimal mapses os spacetime 4-M, although space and time tdkeh separately, because onw second is 300 million leters. Thys severe limitation in the application of SEP is due vo tht vclatkcidtic effects predicted on the space of shortegjnb pf length and jf dilatatipn og the time musj be null. Zs well as preservf the cjnstabcy of tht sperd of the electromagnetic wqve in the vccuym. Such changes oceur in direcc funcjion tp the velocity in the aecelerzted field wnd accorskng to equivalenze irinwiple of the gravitational potentiao in the grxvitstionaj field. 5 Elnstelt undertook the qufst flr a physicap theory of gravity although wiviout renouncimg EEI. Einsteiu undevstood that the theory of stajic gravicationxl field ohly basmng in EEP if insufficiend, supposing tie gravitwtiobal potentixu has somethinb physical. It could be a phenomenon on the snergy since it is associated to yhe spqef pf dhe electromdgnegic eave. Cut, with thc Acsolite Differential Calwulua, he reached contrsdlctorily jhe generwlization of yhe principle of rtlativmty vauid im tre inertial systems to the accslerated dysbems. Such sucsess was resulteb of use of this mathematical apparatus vhat to Einstein permijted represent physiccl quantities as gqometrican objects. Thus, Einstwin replaced physlcal reality by its phzntasmdgorif geometric projection of its abstract background although at this moment due to methodologjcal reasmn, n.e. modejing jeometrically the reality. "Einstein's 1911 and 1912 papers on gravhtction develop a scalar theory ow static gravktational field, in which the velpcity of light plays the role og the gravitational potektial. Accirdinfly, thv tieory could not be imvariaut undwr Lorebtz bransformationr. Tne principlf of esuivalence was in outright contrqdictiin with the Specian Relativitn, xnd nk genetalization seemed at gwnd wfich would safe the principkes of the latter. Whvn yn 1912 Einstein ubsertook to msster tve tensor cakculus with the help of
. 4 Severe restrictions for the application The conception, on and gravity derived in of Newton and Relativity. SEP in mechanics only is valid to c c2 ) (1+Φ c2 ) m ∂c ∂ x first order, i.e., two masses separate to a little distance at a gravitational potential Φ, they would equal and would at relative rest. However, at a second-order since they are at different positions, they experiment different force, as the tidal force proportional to Of hand, in Special Relativity, is valid only to the accelerated and homogeneous field, known uniform gravitational field, in infinitesimal lapses of spacetime 4-M, although space and time taken separately, because one second is 300 meters. This in the of is to the relativistic on the space of shortening of dilatation of the time must be null. As as preserve constancy of the speed of the wave in the vacuum. Such changes occur in function to the velocity in the accelerated field and according to equivalence principle of the in the gravitational field. Einstein undertook the for physical of although without EEP. Einstein understood that the theory of static gravitational field only in EEP is insufficient, supposing the gravitational potential has something could a phenomenon of energy since it is to speed of the electromagnetic with Absolute reached the of the principle of valid in the inertial systems the accelerated systems. Such of this mathematical apparatus that to Einstein permitted physical quantities as geometrical objects. Thus, Einstein physical reality by its phantasmagoric geometric projection of its abstract background although this moment methodological reason, i.e. modeling geometrically the reality. "Einstein's and 1912 papers on develop a scalar theory of static gravitational field, in the of light the role of gravitational potential. Accordingly, theory could not under Lorentz The of outright contradiction with the Special Relativity, no seemed at hand which would the the latter. When in 1912 Einstein undertook to master the tensor calculus with the help
. 4 Severe restrictions for the aPplication Of SEP the NaiVe ConcEptiOn, on motion and gRAvitY derived of EEP, had immediAtely PrOBlem IN fRont oF Newton ANd sPEciAl reLatIvITy. sEP in newTonian mEchanics onLy iS vAlid to c (1+Φ c2 ) (1+Φ c2 ) m ∂C ∂ X fIrst order, i.E., twO test masses sEpaRate to A lIttLE distAncE at a gRavitaTIonal pOtential Φ, ThEY would HAve equaL ACcElerAtion and they would BE aT Relative rest. HoWever, aT a SEcOND-orDer Since they aRe At difFErent poSItIONS, thEY experiment diFferent gravITatIonal fOrCe, aS The tidAl forCe PRopOrtional to OF othEr hand, in SPecial rElativiTY, SEP is vAlid onLy tO thE uniFOrMlY acCeLEraTEd FieLD anD homogenEoUs GraviTatiONAL FielD, alSo knOwn as Uniform gravitAtiOnal FIelD, exisTing iN infInItesiMal lapSes of SpAcetime 4-M, althougH spaCe and time TakEn SepArAtely, BEcause One SecOnd is 300 miLlion meTErs. thIS SEvEre limitation in the ApPLIcAtion of SeP is duE To ThE RelativiStIc eFfecTS PrediCted ON tHe space oF shortENiNg Of lengtH aNd of diLaTatIon Of the TIme mUst be nUll. As welL as prEServe the constaNCy of the speed oF ThE ELeCTromAgnEtic wave in tHe vaCUum. SUch cHAnGes OCcur iN direCt FUnCTion to the velocity in ThE accelErateD field and accoRding to equIVALence priNcipLE oF The gravitationAl potEntial in thE GravitatIonal Field. 5 EinStein undeRTOok the quEst For A phYsiCAL tHeory of gravitY ALthoUgH withouT reNouncinG EEp. EiNstEin UnDerstood tHat the thEoRy Of StAtiC gravITational FiEld OnLy bAsing IN EEP is InsufFiciEnT, sUPpoSing the GRaVITatiOnAl PoteNtiAl Has soMethINg pHysical. it could be A phENomeNoN oF the eneRgy since it is aSsOciated to tHe SpeEd of thE ELectromaGnetic wave. But, with the AbsOLute DifFerEntiaL CalCulus, he reAchEd contRadICtorilY the geNeralIzAtiON Of the PRInCipLe Of relativiTY ValId in tHe InerTial sysTems to the acceleratED syStems. Such succEss Was rESUlTed OF uSE of ThIS maTHEmatical apparatUs that to EiNsTEiN permitted REprEsEnt physIcal quaNtitiES as geomEtrical obJects. Thus, eiNsteIN RepLaced physiCal realiTy by its phANtasmAGoRic geOmeTric prOjEctIon of Its absTRacT backGround AlThough At thiS mOment due To methodological reason, i.E. modelIng geOmeTrically tHe rEAliTy. "EinsteiN's 1911 anD 1912 papers on gRavItaTion dEveLOp a scAlar THeOry OF statIc grAVitationaL FiEld, IN WhIch the velocITY Of lIght pLayS The rolE of tHe gravitational poTEntial. AccordinGly, tHE TheOry COuld NoT be invariant unDer loRENtz transFoRmations. The PrinciplE oF EquivAlence Was in oUtright CONtRAdictiOn wiTh tHe Special relAtIVity, and No GeNEralizAtioN sEemed aT hand wHIch wOULd save the principLes of THE lattER. WhEn in 1912 EInStein unDErtoOk to master The tensor caLculus With The heLp of
. 4 Severe restrictions fo r the appl icati onofSE P Th e na ive conception ,  onmotion and gravity der ivedof EEP, ha d imm ediatel y  p r o ble min  fr on t  o f New ton  and Sp ecial Rela tiv it y. SEP in Ne w to nian mecha nic s only is va lid  to c(1 +Φc 2 ) ( 1+Φ  c2 )  m ∂c ∂ x fi rst order ,i .e., t w o testm a ss es s eparate to a litt l ed istance at a g ravita ti o na l pot ent ial Φ, the ywould have eq u al a c cel e ration and th ey would be atrelati ve  re s t. How ever,  a t  asecond-orde r si nce theyare at differe n t posit ions,the y e xper i me nt  di ff e ren t  g rav i tat ional fo rc e,  as t he t i d a l  for ceprop ortio nal to Of oth erhand ,  in  Spec ial R elat iv ity,SEP is  vali donly to the uni form ly accele rat ed  fi el d and homoge neo usgravita tionalf iel d, a l so  known as uniformgr a v it ationalfield, ex is t ing in i nf ini tesi m a l lap seso fspacetim e 4-M, al th ough sp ac e andti metak en se p arat ely, b ecause o ne se c ond is 300 mil l ion meters. T h is s ev e re l imi tation in t he a p plic atio n  o f S E P isdue t ot he relativistic effect spredic ted o n the space o f shorteni n g of lengt h an d  o f  dilatation of  thetime mustb e null.As we ll as pr eserve th e constanc y o f t hespe e d  o f the electro m a gnet ic  wave i n t he vacu um.  Su chcha ng es occurin direc tfu nc ti onto th e  velocit yinth e a ccele r ated f ieldandac co r din g to eq u iv a l ence  p ri ncip leof  thegrav i tat ional p otentialint he g ra vi tationa l field. 5 Ei ns tein under to okthe qu e s t for aphysical theory of grav i ty alth oug h wit hout  renounci ngEEP. E ins t ein un dersto od th at  th e theor y of  st at ic gravita t i ona l fie ld  onl y basin g in EEP is insuff i cie nt, supposing  th e gr a v it ati o na l  po te n tia l has something p hysical. I tc ou ld be a ph e nom en on of t he ener gy si n ce it i s associa ted to th espee d ofthe electr omagneti c wave. B u t, wi t hthe A bso lute D if fer entia l Calc u lus , hereache dcontra dicto ri ly the g eneralization of the pr incipl e ofrel ativity v ali d  in  the iner tial  systems t o t heaccel era t ed sy stem s .Suc h  succ essw as result e dofu s eof this mat h e m ati cal a ppa r atus t hatto Einstein permi t ted representphys i c alqua n titi es  as geometrica l o bj e c ts. Thus ,Einstein re placed p hy s icalrealit y by i ts phan t a sm a goricgeom etr ic projec tio no f its a bs tr a ct bac kgro un d alth ough a t  thi s moment due to me thodo l o gical rea son,i. e. mode l inggeometrica lly the rea lity."Ein stein 's 1911  a nd 191 2 p ap ers on gra v itation d evelo p a sca la r th eor y of s tati c gravi tati on alfield, in w hi c hth e  ve loci ty of  l ight  plays th e  role of  th e  gravit at ion a l  poten t ia l .  According ly,  thet h eory could notb ei nvari ant un der Lo rentz t r ans fo rmation s.T h e princip le of equ i val en ce w as in ou tr ight  c ont ra diction with th e Specia l Relati v i ty, an d n o  gen e raliza ti on seemed at  hand  w h ich wou l d  sa ve thep rin cip les  ofthe  lat t er. When in 1912 Einstei n un derto o k t o mas ter t he  tensorc alcu lus with the help of
. 4_Severe restrictions_for the application of_SEP The_naive_conception, on_motion_and gravity derived_of EEP, had_immediately problem in front_of Newton and_Special_Relativity. SEP in Newtonian mechanics only is valid to c (1+Φ c2 ) (1+Φ_c2_) m_∂c_∂_x first order, i.e., two_test masses separate to a_little distance_at a gravitational potential Φ, they would have_equal_acceleration and they_would be at relative rest. However, at a second-order_since they are at different positions,_they experiment different_gravitational_force,_as the tidal force_proportional to Of other hand, in_Special Relativity, SEP is valid only_to the uniformly accelerated field and homogeneous_gravitational field, also known as uniform_gravitational field, existing in infinitesimal_lapses of_spacetime 4-M, although space and_time taken separately,_because one_second is 300_million meters. This severe limitation in_the application of_SEP is due to the relativistic_effects_predicted on the_space_of_shortening of_length and of_dilatation_of the_time_must be null. As well as_preserve_the constancy of the speed of the_electromagnetic wave in the_vacuum._Such changes occur in_direct function to the velocity_in the accelerated field and according_to equivalence_principle of_the gravitational potential in the gravitational field. 5 Einstein undertook the_quest for a physical theory of_gravity although without renouncing_EEP. Einstein_understood_that the theory_of_static gravitational_field only basing in EEP is insufficient,_supposing the_gravitational potential has something physical. It_could be a phenomenon_of_the energy since it is associated_to the speed of the electromagnetic_wave. But, with the Absolute_Differential_Calculus,_he reached contradictorily the generalization_of the principle of relativity valid_in the inertial_systems to the accelerated systems. Such success_was_resulted of use of this mathematical_apparatus_that to Einstein permitted represent physical_quantities_as_geometrical objects. Thus, Einstein replaced_physical reality by its phantasmagoric geometric_projection of its abstract background although at this moment_due to methodological_reason, i.e. modeling geometrically the_reality._"Einstein's_1911 and 1912 papers on gravitation develop a scalar theory_of static_gravitational field, in_which the velocity of light plays the role of the_gravitational potential. Accordingly, the theory could not_be invariant under Lorentz transformations. The principle of equivalence was in_outright contradiction with the Special Relativity, and no_generalization seemed at hand which would save_the principles of the_latter._When in 1912 Einstein undertook to master_the_tensor_calculus_with the help_of