 speeds that can reach infinite value, Einstein generalized the principle of Galileo Galilei only valid in the inertial systems to any arbitrary system: accelerated and gravitational systems, as if the motion does not exist, based in that the bodies have inertial and gravitational masses; both numerically are equal, demonstrated among others by Galileo, Newton, Eotvos and CNES microsatellite. As consequence, the gravitational motion of a small test body is independent on its constitution and, therefore, it depends only on its initial position in spacetime and velocity, named weak equivalence principle (WEP). Of other hand, derived of Erlangen program, the traditional algebraic instrument of support of physics was replaced by the geometric instrument. So, based in Special Relativity, "Minkowski pointed out that geometers had concentrated on the characteristic transformations of space. But they had ignored the groups of transformations associated with mechanics, those that connected various inertial states of motion. Minkowski proceeded to treat these groups in exactly the same way as the geometric groups. In particular he constructed the geometry associated with the Lorentz transformation. To begin, it was not the geometry of a space, but of a spacetime, and the notion of spacetime was introduced into physics almost as a perfunctory by-product of the Erlangen program. Moreover he found the spacetime had the hyperbolic structure now associated with a Minkowski spacetime. From this geometric perspective, the formulation of a theory that satisfied the principle of relativity in inertial systems became trivial. One merely needed to formulate the theory in terms of the geometric entities of the spacetime effect the various types of spacetime vectors Minkowski had defined-and the theory would be automatically Lorentz covariant" [2]. The Erlangen program sowed sinisterly in the physics the seed that with the General Relativity it gave as fruit the geometrization of gravity when adopting the Riemann s geometry. The bridge between Special Relativity and General Relativity was the Entwurf theory when Einstein associated with Marcel Grossmann introduced the Absolute Differential Calculus and, therefore, the tensors yet in the Minkowski s spacetime, failing in obtain in the Newtonian limit the law of gravity of Newton. However, the advent of the General Relativity was not the result of controlled and progressive adoption of the method and geometric thinking in the physics but of a conjunctural crisis arose of the fortuitous and hard competency between Hilbert, the best germane mathematician of the epoch, and Einstein during July and November of 1915 when they worked similar equations. Paradoxically, the use of the very
speeds that can reach infinite value, Einstein generalized the rationale of Galileo Galilei merely valid in the inertial systems to any arbitrary system: accelerate and gravitational system, as if the motion does not exist, based in that the torso have inertial and gravitational masses; both numerically are equal, show among others by Galileo, Newton, Eotvos and CNES microsatellite. As consequence, the gravitational motion of a small examination body is independent on its united states constitution and, consequently, it depends only on its initial placement in spacetime and velocity, named watery equivalence principle (WEP). Of other bridge player, derived of Erlangen program, the traditional algebraic instrument of documentation of physics was replaced by the geometric instrument. So, based in Special Relativity, " Minkowski orient out that geometers had concentrated on the characteristic transformations of space. But they had ignored the group of transformations associated with mechanics, those that connected various inertial states of motion. Minkowski proceeded to treat these groups in precisely the same way as the geometric group. In particular he constructed the geometry associated with the Lorentz transformation. To begin, it was not the geometry of a quad, but of a spacetime, and the notion of spacetime was introduced into physics almost as a perfunctory by - merchandise of the Erlangen program. Moreover he found the spacetime had the hyperbolic structure now consort with a Minkowski spacetime. From this geometric perspective, the formulation of a theory that satisfied the rationale of relativity in inertial systems become fiddling. One merely needed to formulate the theory in terms of the geometric entity of the spacetime effect the various types of spacetime vectors Minkowski had defined - and the theory would be automatically Lorentz covariant " [ 2 ]. The Erlangen program sowed sinisterly in the purgative the seed that with the General Relativity it gave as fruit the geometrization of gravity when adopting the Riemann s geometry. The bridge between Special Relativity and General Relativity was the Entwurf hypothesis when Einstein associated with Marcel Grossmann introduced the Absolute Differential Calculus and, therefore, the tensors so far in the Minkowski s spacetime, failing in obtain in the Newtonian terminus ad quem the law of gravity of Newton. However, the advent of the General Relativity was not the resultant role of master and progressive adoption of the method and geometric thinking in the physics but of a conjunctural crisis arose of the fortuitous and hard competency between Hilbert, the best germane mathematician of the epoch, and Einstein during July and November of 1915 when they worked alike equations. Paradoxically, the use of the very
 spfeds that can reach infikite value, Einstgib genecalized the privciple of Galileo Galilei onpy valie in the inertial systdms to anj arbitraey sbstem: acceleratev and gravitatjlnal wystems, as if jhe motion dmes not exist, tareb in that the bodies have inertial agd gravotwtional masses; botn numsgigally are equal, demonstrated amohg othegs by Galileo, Newyon, Eotvos and CNES microswtelpite. As consequencf, the gravijztijbal motion ow a small uevt body is independent on its constitutiov and, therefore, ir dfkends only oi its pnitial positlpn in vpacetike and velocitn, namxd wwak equivalence princmple (WEP). Of other hagd, deriveg kf Erlangen progrqm, the jradidionxo augegreic instrkmeit of suppodt of physixs was replaced by uhe teometric insfrumene. Fo, based in Special Relativity, "Minkowskp pojnted out that geometerw had concentrated on the charwcteristic transformations of space. But they had hgnorxd tht nvoupr ov transformations associated with mechanics, trkst tmat connected vavious inertial stayed ps motion. Minkuwski 'dodeeded to treat thfse groops in exactly uhe ssme way as the geometric griups. In partpculqr he constructed che geometry asspciatrd with the Lorentz trausformztion. To behin, it waa not the geometrh on a space, but of a spacetime, wnd the nitiou of spazetike was introducef into physics almost as a petfunctmry by-prodkct of the Erlangen program. Morxpver he founc dhe spacetiie hac the hyperbojic structure uow assoeiated with a Mihkowski spacetime. Srom this geokgtric perspecvive, the sormylatuon of x theory that sstisfied nht principlw of relativity in ingrfial systems beecmt rrivial. One metelh nqefev to smrmulate the theury on tefms of uke neooetroc entities of the s[acefime effect the vatijus typew of spasetime vectorx Minkowski had devined-end thx theoty rould be automatically Lorentz covarianh" [2]. Bhe Erlangen [rogvam fowed sinixterly in the physics the seed that witi the General Relativijy it gave as fruit tke geometrizavion os gravity when adopting the Ruemann s geometry. The bridge between Slecial Relahivity and General Relativity was the Entwurf theory when Einstein associqted wmtr Marcel Grkssmsnn ittxodbced thq Abdulute Differentisl Calculus and, therefore, the txnsors yet iu the Minkowski s spacetime, fsiuing in obtaiv in the Newtonian limit the law of gravity of Newton. However, tne advent of the General Relativuty wzs not the result of controlked anb progeessive adoition of the mdthpd and geomftrir tkinking in the physics but of a cinjuncrugal crisis arose of the forbultous znd hatd competency betseen Jilbett, the best getmane mathematocian of the epoch, atd Einstein duribf July and Npvembgx of 1915 when thxy worked sikilar equations. Paradoxically, the use of the very
speeds that can reach infinite value, Einstein principle Galileo Galilei valid in the system: and gravitational systems, if the motion not exist, based in that the have inertial and gravitational masses; both numerically are equal, demonstrated among others by Newton, Eotvos and CNES microsatellite. As consequence, the gravitational motion of a small body independent its and, therefore, it depends only on its initial position in spacetime and velocity, named weak equivalence (WEP). Of other hand, derived of Erlangen program, traditional algebraic instrument of of physics was replaced by geometric So, based Special "Minkowski out that geometers concentrated on the characteristic transformations of space. But they had ignored the groups of transformations associated with those that inertial states motion. proceeded treat these groups the same way as the geometric he constructed the geometry associated with the Lorentz To begin, was not the geometry of a but of a spacetime, and the notion of was introduced into physics almost as a perfunctory by-product of the Erlangen program. Moreover he spacetime had the hyperbolic now associated with Minkowski From geometric the formulation a theory that satisfied the principle of relativity in inertial systems trivial. One merely needed to formulate the theory in terms geometric of the spacetime the various types of vectors had defined-and the theory automatically covariant" program sinisterly the physics the seed with the General Relativity it as fruit the geometrization Riemann s geometry. The bridge between Special Relativity General Relativity was the Entwurf theory when associated with Marcel Grossmann introduced the Absolute Differential Calculus and, therefore, the yet in s spacetime, failing in obtain in the Newtonian the law of gravity Newton. However, the advent of the General Relativity was the of controlled progressive adoption of method and geometric in the physics a conjunctural arose the competency between Hilbert, the best germane of epoch, and Einstein during July November when they worked similar equations. Paradoxically, the use of the very
 speeds that can reach infinitE value, EinsTein gEneRalIzEd thE priNciple of GalileO galiLei only valid in the inertIal syStEMs to ANy ArbitRary sysTEm: ACCelErAtEd aNd GRaVitatIonAl systeMs, as if the mOtiOn Does not exist, BAsEd in that thE boDies have inerTiaL and grAvItaTIonal MasSes; boTh numeRIcally Are equal, dEmONstratED among oTHErS by GAlileo, Newton, EotvoS AnD cNES microsatelLite. As CoNSeQUEncE, thE gravitatiOnAl motIOn of a smALl TEST boDY is independenT on its constITutIon and, ThEreFOre, it dEpendS oNLy oN its initial PosiTion in spaCetime ANd velocITy, named Weak eqUivAleNce pRInCiPle (wEp). of oTHeR haND, deRived of ERlAnGen prOgraM, THE TradItiOnal AlgebRaic instrumenT of SuppORt oF physIcs waS repLaCed by The geoMetriC iNstrument. So, baseD in SPecial RelAtiViTy, "MInKowskI PointeD ouT thAt geomeTers had COncEnTRATeD on the characteristIc TRAnSformatiOns of sPAcE. BUT they had IgNorEd thE GRoups Of trANsFormatioNs assoCIaTeD with meChAnics, tHoSe tHat ConneCTed vArious Inertial StateS Of motion. MinkowSKi proceeded to TReAT ThESe grOupS in exactly tHe saME way As thE GeOmeTRic grOups. IN pARtICular he constructed tHe GeometRy assOciated with thE Lorentz trANSFormatioN. To bEGiN, It was not the geoMetry Of a space, buT Of a spaceTime, aNd the notIon of spacETIme was inTroDucEd iNto PHYsIcs almost as a pERFuncToRy by-proDucT of the ERlaNgeN prOgrAm. moreover hE found thE sPaCeTiMe hAd the HYperboliC sTruCtUre Now asSOciateD with A MinKoWsKI spAcetime. fRoM THis gEoMeTric PerSpEctivE, the FOrmUlation Of a theory ThaT SatiSfIeD the priNciple of relatIvIty in inertIaL syStems bECAme triviAl. One merely needed to formULate the TheOry in TermS of the geoMetRic entItiES of the SpacetIme efFeCt tHE VarioUS TyPes Of Spacetime vECTorS MinkOwSki hAd definEd-and the theory woulD Be aUtomatically LOreNtz cOVArIanT" [2]. thE erlAnGEn pROGram sowed sinistErly in the pHySIcS the seed thAT wiTh The GeneRal RelaTivitY It gave aS fruit the GeometrizAtIon oF GRavIty when adoPting the riemann s gEOmetrY. thE bridGe bEtween spEciAl RelAtivitY And generAl RelaTiVity waS the ENtWurf theoRy when Einstein associateD with MArcel groSsmann intRodUCed The AbsoluTe DiFferential calCulUs and, TheREfore, The tENsOrs YEt in tHe MiNKowski s spACeTimE, FAiLing in obtaiN IN The newtoNiaN Limit tHe laW of gravity of NewtoN. however, the adveNt of THE GeNerAL RelAtIvity was not the ResUlT OF controlLeD and progresSive adopTiON of thE methoD and geOmetric THInKIng in tHe phYsiCs but of a cOnjUnCTural crIsIs ARose of The fOrTuitouS and haRD comPETency between HilbErt, thE BEst geRManE mathEmAtician OF the Epoch, and EiNstein durinG July aNd NoVembeR of 1915 when ThEy workEd sImIlar equatiONs. ParadoxIcallY, the use Of The vEry
 speeds that can reach inf inite valu e, Ei nst ein  g ener aliz ed the princip l e of  Galileo Galilei onlyvalid  i n  the in ertia l syste m st o  an yar bit ra r ysyste m:acceler ated and g rav it ational syst e ms , as if th e m otion does n otexist,  b ase d  in t hat  thebodies have i nertial a nd gravit a tionalm a ss es;both numericallya re equal, demonst ratedam o ng o the rsby Galileo ,Newto n , Eotvo s  a n d CNE S  microsatelli te. As cons e que nce, t he  gr a vitati onalmo t ion  of a small  tes t body is  indep e ndent o n  its co nstitu tio n a nd,t he re for e, itd ep end s  on ly on it sin itial  pos i t i o n in  sp acet ime a nd velocity,nam ed w e akequiv alenc e pr in ciple  (WEP) . Ofot her hand, deriv ed o f Erlange n p ro gra m,  thet raditi ona l a lgebrai c instr u men to f su pport of physics w as r ep laced by  the g e om et r ic instr um ent . So , based  inS pe cial Rel ativit y ,"M inkowsk ipointe dout  th at ge o mete rs had  concent rated on the charact e ristic transf o rm a t io n s of  sp ace. But th ey h a d ig nore d  t heg roups  of t ra n sf o rmations associated  w ith me chani cs, those tha t connecte d v arious i nert i al states of moti on. M inkowski p r oceededto tr eat thes e groupsi n  exactly  th e s ame  wa y as  the geometri c grou ps . In pa rti cular h e c ons tru cte dthe geome try asso ci at ed  w ith  theL orentz t ra nsf or mat ion.T o begi n, it  was  n ot the  geomet r yo f  a s pa ce , bu t o fa spa ceti m e,and the  notion o f s p acet im ewas int roduced intoph ysics almo st  as  a per f u nctory b y-product of the Erlang e n progr am.  More over  he found  th e spac eti m e hadthe hy perbo li c s t r uctur e no w a ss ociated wi t h  aMinko ws ki s pacetim e. From this geome t ric  perspective,  th e fo r m ul ati o no f a  t h eor y that satisfiedthe princi pl e  o f relativi t y i ninertia l syste ms be c ame tri vial. One  merely n ee dedt o  fo rmulate th e theory  in terms of th e  g eomet ric  entit ie s o f the  space t ime  effe ct the  v arious  type sof space time vectors Minkowskihad de fined -an d the the ory wou ld be aut omat ically Lor ent z c ovari ant "  [2].  The Er lan g en pr ogra m  sowed si n is ter l y  i n the physi c s the  seed  th a t with  the  General Relativi t y it gave as f ruit t hegeo m etri za tion of gravit y w he n adopting  t he Riemanns geomet ry .  Thebridge  betwe en Spec i a lR elativ ityand  GeneralRel at i vity wa sth e  Entwu rf t he ory wh en Ein s tein a ssociated with M arcel G rossm a nnintro du ced the Abso lute Diffe rential Cal culusand,  ther efore,th e tens ors  y et in theM inkowskis spa cetime,  f aili ngin obt aini n  theNewt on ian  limit th e la w  o fg rav ityof Ne wt on.However,t he adven t o f  the Ge ne ral R elativ i ty w as not the  re sulto f  controlle d  and pr o gress ive ad option  of the met ho d and g eom e t ric think ing in th e  ph ys icsbut of a  c onju nc tur al  crisis arose o f the fo rtuitous a nd har d c o mpet e ncy be tw een Hilbert,  thebe s t germa n e  ma themati c ian  of  th e ep och , an d  Einstein during July an d No vembe r  of  1915  when  t hey work e d si milar eq u ations. Parad oxically, the u s e o f  the  ve r y
 speeds_that can_reach infinite value, Einstein_generalized the_principle_of Galileo_Galilei_only valid in_the inertial systems_to any arbitrary system:_accelerated and gravitational_systems,_as if the motion does not exist, based in that the bodies have inertial_and_gravitational masses;_both_numerically_are equal, demonstrated among others_by Galileo, Newton, Eotvos and_CNES microsatellite._As consequence, the gravitational motion of a small_test_body is independent_on its constitution and, therefore, it depends only on_its initial position in spacetime and_velocity, named weak_equivalence_principle_(WEP). Of other hand,_derived of Erlangen program, the traditional_algebraic instrument of support of physics_was replaced by the geometric instrument. So,_based in Special Relativity, "Minkowski pointed_out that geometers had concentrated_on the_characteristic transformations of space. But_they had ignored_the groups_of transformations associated_with mechanics, those that connected various_inertial states of_motion. Minkowski proceeded to treat these_groups_in exactly the_same_way_as the_geometric groups. In_particular_he constructed_the_geometry associated with the Lorentz transformation._To_begin, it was not the geometry of_a space, but of_a_spacetime, and the notion_of spacetime was introduced into_physics almost as a perfunctory by-product_of the_Erlangen program._Moreover he found the spacetime had the hyperbolic structure now associated_with a Minkowski spacetime. From this_geometric perspective, the formulation_of a_theory_that satisfied the_principle_of relativity_in inertial systems became trivial. One merely_needed to_formulate the theory in terms of_the geometric entities of_the_spacetime effect the various types of_spacetime vectors Minkowski had defined-and the_theory would be automatically Lorentz_covariant"_[2]._The Erlangen program sowed sinisterly_in the physics the seed that_with the General_Relativity it gave as fruit the geometrization_of_gravity when adopting the Riemann s_geometry._The bridge between Special Relativity and_General_Relativity_was the Entwurf theory when_Einstein associated with Marcel Grossmann introduced_the Absolute Differential Calculus and, therefore, the tensors yet_in the Minkowski_s spacetime, failing in obtain_in_the_Newtonian limit the law of gravity of Newton. However, the_advent of_the General Relativity_was not the result of controlled and progressive adoption of_the method and geometric thinking in the_physics but of a conjunctural crisis arose of the fortuitous and_hard competency between Hilbert, the best germane mathematician_of the epoch, and Einstein during July_and November of 1915_when_they worked similar equations. Paradoxically, the use_of_the_very