Volume 11 (2015) PROGRESS IN PHYSICS Issue 3 (July)A Review on Natural Reality with Physical EquationsLinfan MaoChinese Academy of Mathematicsand System Science,Beijing 100190, P. R. ChinaE-mail:maolinfan@163.comAnatural behaviorisusedtocharacterizebydierentialequationestablishedonhu-manobservations, whichisassumedtobeononeparticleoroneeldcompliedwithreproducibility.However, the multilateral property of a particle P and the mathematicalconsistencedeterminethatsuchanunderstandingisonlylocal, not thewholerealityonP, whichleadstoacentral thesisforknowingthenature, i.e. howtoestablishaphysicalequationwith a properinterpretation on a thing. As it is well-known,a thingconsists of parts. Reviewing on observations,we classify them into two categories, i.e.out-observationandin-observationfordiscussion. Theformerissuchanobservationthat theobserverisout oftheparticleortheeldP, whichisinfact amacroscopicobservation and its dynamic equation characterizes the coherent behavior of all parts inP,butthe later is askedinto the particleor the eld byarrangingobserverssimultane-ouslyondierentsubparticlesorsubeldsinPandrespectivelyestablishingphysicalequations, whicharecontradictoryandgivenupinclassicalbecausetherearenotap-plicable conclusionson contradictorysystems in mathematics. However,the existencenaturally implies the necessity of the nature. Applying a combinatorial notion,i.e.GL-solutionsonnon-solvableequations, anewnotionforholdingontherealityofnatureis suggested in this paper, which makes it clear that the knowing on the nature by solv-ableequationsis macro,onlyholdingonthesecoherentbehaviorsof particles,butthenon-coherent naturally induces non-solvable equations, which implies that the knowingbyGL-solutionofequationsistheeective, includestheclassicalcharacterizingasaspecial case by solvable equations, i.e.mathematical combinatorics.1 IntroductionAnobservationonaphysicalphenomenon,orcharactersofathing inthenature isthereceived information viahearing,sight, smell, taste or touch, i.e.sensory organs of the observerhimself, little by little for human beings fullled with the re-producibility. However, itisdicult tohold the truefaceofathing forhuman beings becauseheisanalogous toablindman in the blind menwithan elephant, a famous fable forknowing the nature.For example, let 1, 2,, nbe all ob-served and i, i 1unobserved characters onaparticlePattime t.Then, P should be understood byP=__n_i=1i______k1k__(1.1)in logic with an approximation P=n_i=1i for P at time t.Allof them are nothing else but Smarandache multispaces ([17]).Thus,PPis only an approximation for its true face ofP,and itwillnever beended inthiswayfor knowingPasLaoZi claimed Name named is not the eternal Name in the rstchapter of his TAO TEH KING ([3]), a famous Chinese book.AphysicalphenomenonofparticlePisusuallycharac-terized by dierential equationF _t, x1, x2, x3, t, x1, x2,, x1x2, _= 0 (1.2)in physics established on observed characters of 1, 2,, nfor its state function (t, x) in R4.Usually, these physical phe-nomenons of a thing is complex, and hybrid with other things.IstherealityofparticlePallsolutionsof(1.2)ingeneral?Certainlynot because(1.2)onlycharacterizesthebehaviorofP on some characters of 1, 2,, nat time tabstractly,not thewhole inphilosophy. For example, thebehavior ofaparticle is characterized by the Schr odinger equationit=

22m2 + U (1.3)inquantummechanicsbut observationshows it intwoormore possible statesof being, i.e. superposition. We can noteven say which solution of the Schr odinger equation (1.3) isthe particle because each solution is only for one determinedstate.Even so, the understanding of all things is inexhaustibleby (1.1).Furthermore, can we conclude (1.2) is absolutely right foraparticleP? Certainlynotalsobecausethedynamicequa-tion(1.2)isalwaysestablishedwithanadditional assump-tion,i.e. thegeometryonaparticlePisapointinclassicalmechanics or a eld in quantum mechanics and dependent ontheobserverisoutorintheparticle. Forexample, awatermoleculeH2Oconsistsof2Hydrogenatomsand1Oxygenatomsuch as those shown in Fig. 1. If an observer receives in-formation on the behaviors of Hydrogen or Oxygen atom butstandsoutofthewatermoleculeH2Obyviewingit ageo-metrical point, then such an observation is an out-observationbecause itonly receives such coherent information on atomsH and O with the water molecule H2O.276 Linfan Mao.A Review on Natural Reality with Physical EquationsIssue 3 (July) PROGRESS IN PHYSICS Volume 11 (2015)Fig. 1If anobserver isoutthe watermolecule H2O,hisallob-servations on theHydrogen atom Hand Oxygen atom O arethe same, but if he enters the interior of the molecule, he willview a dierent sceneries for atom H and atom O, which arerespectivelycalledout-observationandin-observation, andestablishes1or3dynamicequationsonthewatermoleculeH2O.Themainpurposeofthispaperistoclarifythenaturalrealityof aparticlewiththat of dierential equations, andconcludethat asolvableonecharacterizesonlytherealityofelementaryparticlesbutnon-solvablesystemofdieren-tialequationsessentiallydescribeparticles,suchasthoseofbaryons or mesons in the nature.Forterminologiesandnotationsnotmentionedhere, wefollow references [1] for mechanics, [5] for combinatorial ge-ometry, [15]forelementaryparticles, and[17]forSmaran-dachesystemsandmultispaces, andall phenomenonsdis-cussed in this paper are assumed to be true in the nature.2 Out-observationsAn out-observation observes on the external, i.e.these macrobut not the internal behaviors of a particle P by human sensesorviainstrumental, includesthesize, magnitudesoreigen-values of states, ..., etc.Certainly, the out-observation is the fundamental for qua-ntitative research on matters of human beings. Usually, a dy-namic equation (1.2) on a particle P is established by the prin-ciple of stationary action S= 0 withS=t2_t1dt L (q(t), q(t)) (2.1)inclassical mechanics, whereq(t), q(t) arerespectivelythegeneralizedcoordinates, thevelocitiesandL(q(t), q(t)) theLagrange function on the particle, andS=_12d4x[(, ) (2.2)ineldtheory, whereisthestatefunctionand[theLa-grangian densitywith 1, 2thelimitingsurfacesofintegra-tionbyviewedPanindependent systemofdynamicsor aeld. Theprinciple ofstationary action S =0respectivelyinduced the Euler-Lagrange equationsLqddtL q= 0 and[ [()= 0 (2.3)in classical mechanics and eld theory, which enables one tond the dynamic equations of particles by proper choice of Lor [.For examples, let[S=i2_t t_12_

22m2+ V2_,[D= _imc

_,[KG=12_ _mc

_22_.Thenwerespectivelyget theSchr odingerequation(1.3)orthe Dirac equation_imc

_(t, x)= 0 (2.4)for a free fermion (t, x) and the Klein-Gordon equation_1c22t2 2_(x, t) +_mc

_2(x, t)= 0 (2.5)for afreeboson(t, x) holdinrelativisticformsby(2.3),where=6.5821022MeVsisthePlanckconstant, cisthe speed of light,=_ x,y,z_, 2=2x2+2y2+2z2,=_1ct,x1,x2,x3_,=_1ct, x1, x2, x3_and =_0, 1, 2, 3_ with0=_I2200 I22_, i=_0 ii0_with the usual Pauli matrices1=_0 11 0_, 2=_0 ii 0_,3=_1 00 1_.Furthermore, let [=gR, where R= gR, the Ricciscalar curvature on the gravitational eld. The equation (2.3)then induces the vacuum Einstein gravitational eld equationR12gR= 0. (2.6)Linfan Mao.A Review on Natural Reality with Physical Equations 277Volume 11 (2015) PROGRESS IN PHYSICS Issue 3 (July)Usually, the equation established on the out-observationsonly characterizes those of coherent behaviors of allparts inaparticleP. Forexample,awatermoleculeH2OobeystheSchr odinger equation (1.3), we assume its Hydrogen atom Hand oxygen atom O also obey the Schr odinger equation (1.3)as a matter of course. However, the divisibility of matter ini-tiateshumanbeingstosearchelementaryconstitutingcellsofmatter, i.e. elementaryparticlessuchasthoseofquarks,leptonswithinteractionquantaincludingphotonsandotherparticles of mediated interactions, also with those of their an-tiparticlesatpresent([14]),andunmattersbetweenamatteranditsantimatterwhichispartiallyconsistedofmatterbutothers antimatter ([8-19]). For example, a baryon is predomi-nantly formed fromthree quarks, and a meson is mainly com-posedofaquarkandanantiquarkinthemodelsofSakata,orGell-MannandNeemanonhadronandmeson, suchasthoseshowninFig. 2, where, qiu, d, c, s, t, bdenotesaquarkfori =1, 2, 3andq2_u, d, c, s, t, b_, anantiquark.But afreequarkwasneverfoundinexperiments. Wecannot even conclude the Schr odinger equation (1.3) is the rightequation (1.2) for quarks because it is established on an inde-pendentparticle, cannotbedividedagaininmathematics.q1q2q3q1 q2.................. .. .. .. .. ... .. .. .. .....................................................Baryon MesonFig. 2Then, whyisitbelievedwithoutashadowofdoubtthatthe dynamical equations of elementary particles such as thoseofquarks,leptons withinteractionquanta are(1.3)inphys-ics?It is because that all our observations come froma macroviewpoint, thehumanbeings, not theparticleitself, whichrationallyleadstoH. Everettsmultiverseinterpretationonthesuperpositionbylettingparallel equationsforthewavefunctions (t, x)onpositionsof aparticlein1957 ([2]). Weonly hold coherent behaviors of elementary particles, such asthose of quarks, leptons with interaction quanta and their an-tiparticles by (1.3), not the individual, and it is only an equa-tiononthoseofparticlesviewedabstractlytobeageomet-rical point or an independent eld from a macroscopic point,whichleadsphysiciststoassumetheinternalstructuresme-chanicallyforholdthebehaviorsofparticlessuchasthoseshowninFig. 2onhadrons. However, suchanassumptionisalittleambiguous inlogic,i.e. wecannotevenconcludewhich isthepointor theindependent eld,thehadron or itssubparticle, the quark.In fact, a point is non-divisible in geometry. Even so, theassumption on the internal structure of particles by physicistswasmathematicallyveriedbyextendingBanachspacestoextended Banach spaces on topological graphs Gin [12]:Let(V ; +, )beaBanachspaceoveraeldFand Gastrong-connected topological graph with vertex set Vand arcset X.A vector labeling GLon Gis a 11 mapping L: GVsuch thatL: (u, v)L(u, v)Vfor (u, v)X_ G_ andit is a G-ow if it holds withL (u, v)=L (v, u) and

uNG(v)L(vu)= 0for (u, v) X_ G_, vV( G), where 0 is the zero-vector inV .For G-ows GL, GL1, GL2on a topological graph GandFa scalar, itis clear that GL1+ GL2and GLare also G-ows, whichimpliesthatall G-owson Gformalinearspace over Fwith unit O under operations + and,denotedby GV, where O is such a G-ow with vector 0 on (u, v) for(u, v) X_ G_. Then, it wasshownthat GVisaBanachspace, and furthermore a Hilbert space if introduce_____ GL_____=

(u,v)X_ G_jL(u, v)j ,_ GL1, GL2_=

(u,v)X_ G_(L1(u, v), L2(u, v))for GL, GL1, GL2 GV, where jL(u, v)j is thenormofL(u, v) and(, ) the inner product in Vif it is an inner space.Thefollowingresultgeneralizestherepresentationtheoremof Fr echetand Rieszon linear continuous functionals on G-ow space GV, which enables us to nd G-ow solutions onlinear equations (1.2).Theorem 2.1([12]) Let T: GVC be a linear continuousfunctional.Then there is a unique GL GVsuch thatT_ GL_=_ GL, GL_for GL GV.For non-linearequations(1.2), wecanalsoget G-owsolutions on them if Gcan be decomposed into circuits.Theorem2.2([12]) If thetopological graph Gis strong-connected with circuit decomposition G=l_i=1 Ci278 Linfan Mao.A Review on Natural Reality with Physical EquationsIssue 3 (July) PROGRESS IN PHYSICS Volume 11 (2015)such that L(uv)=Li (x) for (u, v) X_ Ci_, 1il and theCauchy problem_Fi_x, u, ux1,, uxn, ux1x2, _= 0ux0=Li(x)is solvable ina Hilbert space V on domain Rnfor inte-gers 1 i l, then the Cauchy problem___Fi_x, X, Xx1,, Xxn, Xx1x2, _= 0Xx0= GLsuchthat L(uv) =Li(x)for(u, v) X_ Ci_issolvableforX GV.Theorems 2.12.2 conclude the existence of G-owsolu-tiononlinearornon-linear dierential equations foratopo-logicalgraph G, suchasthoseoftheSchr odingerequation(1.3), Diracequation(2.4) andtheKlein-Gordonequation(2.5),whichallimpliestherightnessofphysicistsassumingtheinternalstructuresfor holdthebehaviors ofparticlesbe-cause there are innite many such graphs Gsatisfying condi-tions of Theorem 2.1 2.2, particularly, the bouquet BLN, thedipolesDL0,2N,0for elementary particles in [13].3 In-observationsAn in-observation observes on the internal behaviors of a par-ticle, particularly, a composed particle P.Let P be composedbyparticlesP1, P2,, Pm. Dierent fromout-observationfromamacroviewing, in-observationrequirestheobserverholding the respective behaviors of particles P1, P2,, Pm inP,forinstanceanobserver entersawatermolecule H2Ore-ceiving information on the Hydrogen or Oxygen atoms H, O.For such an observation, there are 2 observing ways:(1) there is an apparatus such that an observer can simul-taneouslyobservebehaviorsofparticlesP1, P2,, Pm, i.e.P1, P2,, Pmcanbeobserved independently asparticlesatthe same time for the observer;(2)therearemobserversO1, O2,, OmsimultaneouslyobserveparticlesP1, P2,, Pm, i.e. theobserverOionlyobservesthebehaviorofparticlePifor1 i m, calledparallel observing, such as those shown in Fig. 3 for the watermolecule H2O with m= 3.O1P1O2P2O3P3Fig. 3Certainly, each of these observing views a particle in P tobe an independent particle, which enables us to establish thedynamic equation (1.2) by Euler-Lagrange equation (2.3) forPi, 1im, respectively, and then we can apply the systemof dierential equations___L1qddtL1 q= 0L2qddtL2 q= 0

LmqddtLm q= 0q(t0)= q0, q(t0)= q0(3.1)for characterizing particle P in classical mechanics, or___[1 [1()= 0[2 [2()= 0

[m [m()= 0(t0)= 0(3.2)for characterizing particle P in eld theory, where the ithequ-ationisthedynamicequationofparticlePiwithinitialdataq0, q0or 0.We discuss the solvability of systems (3.1) and (3.2). LetSqi=_(xi, yi, zi)(qi, t)R3L1qiddtL1 qi= 0,qi(t0)= q0, qi(t0)= q0for integers 1im.Then, the system (3.1) of equations issolvable if and only ifD(q)=m_i=1Sqi. (3.3)Otherwise, the system (3.1) is non-solvable. For example, letparticlesP1, P2ofmassesM, mbe hanged onaxed pulley,such as those shown in Fig. 4.Then, thedynamicequationsonP1andP2arerespec-tivelyP1: x= g, x(t0)=x0and P2: ddotx=g, x(t0)=x0but the system_ x= g x=g, x(t0)=x0is contradictory, i.e.non-solvable.Linfan Mao.A Review on Natural Reality with Physical Equations 279Volume 11 (2015) PROGRESS IN PHYSICS Issue 3 (July)Similarly, leti(x, t)bethestatefunctionofparticlePi,i.e.the solution of___[1i [1(i)= 0(t0)= 0.Then, the system (3.2) is solvable if and only if there is a statefunction (x, t) on P hold with each equation of system (3.2),i.e.(x, t)= 1(x, t)== m(x, t), xR3,which is impossible because if all state functions i(x, t), 1i marethesame, theparticlesP1, P2,, Pmarenothingelsebutjustoneparticle. Whence, thesystem(3.2)isnon-solvableif m2, whichimplieswecannot characterizethe behavior of particle P by classical solutions of dierentialequations.mMP1P2ggFig. 4Forexample,ifthestatefunctionO(x, t) =H1(x, t) =H2(x, t) in the water molecule H2O forxR3hold with___iOt=

22mO2O V(x)OiH1t=

22mH12H1 V(x)H1iH2t=

22mH22H2 V(x)H2Then O(x, t)= H1(x, t)= H2(x, t) concludes thatAOei

(EOtpOx)=AH1ei

(EH1tpH1x)=AH2ei

(EH2tpH2x)for xR3and tR, which implies thatAO=AH1=AH2, EO=EH1=EH2and pO= pH1= pH2,a contradiction.Noticethat eachequationinsystems(3.1) and(3.2) issolvable but thesystem itselfisnon-solvable ingeneral, andtheyarereal inthenature. Evenif thesystem(3.1)holdswithcondition (3.3), i.e. itissolvable,wecannot apply thesolution of (3.1) to characterize the behavior of particle P be-cause such a solution only describes the coherent behavior ofparticlesP1, P2,, Pm. Thus, wecannot characterizethebehaviorofparticlePbythesolvabilityofsystems(3.1)or(3.2). We should search new method to characterize systems(3.1) or (3.2).Philosophically, the formula (1.1) is the understanding ofparticlePandalloftheseparticlesP1, P2,, Pmareinher-ently related, not isolated, which implies thatP naturally in-heritsatopological structureGL[P] inspaceof thenature,which isavertex-edge labeled topological graph determinedby:V_GL[P]_=P1, P2,, Pm,E_GL[P]_=(Pi, Pj)Pi_Pj, 1ijmwith labelingL: PiL(Pi)=PiandL: (Pi, Pj)L(Pi, Pj)=Pi_Pjforintegers1 ij m. Forexample, thetopologicalgraphs GL[P]ofwatermoleculeH2O, mesonandbaryoninthe quark model of Gell-Mann and Neeman are respectivelyshown in Fig. 5,H HOH O H OH2Oq1q2q3q1 q3q1 q2q2 q3Baryonqqq qMesonFig. 5whereO, H,q, qandqi, 1i 3obeytheDiracequationbut O H, q q, qk ql, 1k, l 3 comply with the Klein-Gordon equation.Suchavertex-edgelabeledtopological graphGL[P] iscalled GL-solution of systems (3.1)(3.2). Clearly, the globalbehaviors of particle P are determined by particles P1, P2,,Pm. WecanholdthemonGL-solutionofsystems(3.1)or(3.2). For example, let u[v]be the solution of equation at ver-texv V_GL[P]_withinitialvalueu[v]0andGL0[P]theini-tial GL-solution, i.e. labeledwithu[v]0at vertexv. Then, aGL-solution of systems (3.1) or (3.2) issum-stable if for anynumber >0thereexistsv>0, v V(GL0[P])suchthateach GL-solution withu[v]0 u[v]0 < v, v V(GL0[P])exists for all t 0 and with the inequality

vV(GL[P])u[v]

vV(GL[P])u[v]< 280 Linfan Mao.A Review on Natural Reality with Physical EquationsIssue 3 (July) PROGRESS IN PHYSICS Volume 11 (2015)holds, denotedbyGL[P]GL0[P]. Furthermore, if thereexistsanumberv>0forv V(GL0[P])suchthateveryGL[P]-solution withu[v]0 u[v]0 < v, v V(GL0[P])satiseslimt

vV(GL[P])u[v]

vV(GL[P])u[v]= 0,thentheGL[P]-solutioniscalledasymptoticallystable, de-noted by GL[P]GL0[P]. Similarly,theenergy integralofGL-solution is determined byE(GL[P])=

GGL0 [P](1)G+1_OG_uGt_2dx1dx2 dxn1,where uGis the C2solution of systemut=Hv(t, x1,, xn1, p1,, pn1)ut=t0=u[v]0(x1, x2,, xn1)___v V(G)and OG=_vV(G)Ovwith OvRndetermined by the vth equa-tion___ut=Hv(t, x1,, xn1, p1,, pn1)ut=t0=u[v]0(x1, x2,, xn1).All of these global properties were extensively discussedin [711], which provides us to hold behaviors of a composedparticle P by its constitutions P1, P2,, Pm.4 RealityGenerally,therealityisthestatecharacters(1.1)ofexisted,existing or will exist things whether or not they are observableor comprehensible by human beings, and the observing objec-tive ison the state of particles, which then enables us to ndthe reality of a particle. However, an observation is dependenton the perception of the observer by his organs or through byinstrumentsat theobservingtime, whichconcludesthat tohold the reality of a particle P can be only little by little, anddetermineslocalrealityofPfromamacroobservationatatimet,no matterwhatPis,amacro or microthing. Why isthishappeningbecausewealwaysobservebyoneobserverononeparticleassumedtobeapointinspace,andthenes-tablishasolvableequation(1.2)oncoherent,notindividualbehaviors of P.Otherwise, we get non-solvable equations onPcontradictstothelawofcontradiction, thefoundationofclassical mathematics which results in discussions following:4.1 States of particles are multiverseAparticlePunderstoodbyformula(1.1)isinfactamulti-verseconsistingofknowncharacters1, 2,, nandun-knowncharactersk, k1, i.e. dierentcharacterscharac-terize dierent states of particle P.This fact also implies thatthe multiverse exist everywhere if we understand a particle Pwithin-observation,notonlythoselevelsofIIVofMaxTegmarkin[24]. Infact, theinnitedivisibilityofamatterMinphilosophyalludesnothingelsebut amultiverseob-served onMby its individual submatters.Thus, the nature ofaparticlePismultipleinfrontofhuman beings,withunitycharacter appeared only in specied situations.4.2 Realityonlycharacterizedbynon-compatiblesys-temAlthoughthedynamicalequations(1.2)establishedonuni-lateralcharactersareindividuallycompatiblebut theymustbegloballycontradictorywiththeseindividualfeaturesun-less all characters are the same one. It can not be avoided bythenatureofaparticleP. Whence,thenon-compatible sys-tem, particularly, non-solvable systems consisting of solvabledierentialequationsaresuitabletoolsforholdingthereal-ity of particles P in the world, which also partially explains acomplaint of Einstein on mathematics, i.e. as far as the lawsofmathematicsrefertoreality, theyarenotcertain;andasfar as they are certain, they do not refer to reality because themultiple nature of all things.4.3 Reality really needs mathematics on graphAsweknow,therealwaysexistsauniversalconnectionbe-tween things in a family in philosophy. Thus, a family Fofthings naturally inherits a topological graph GL[F]in spaceand we therefore conclude thatF= GL[F] (4.1)in that space. Particularly, if all things in Fare nothing elsebutmanifoldsMT(x1, x2, x3; t)ofparticlesPdeterminedbyequationfT(x1, x2, x3; t)= 0, T F (4.2)inR3 R,weget ageometrical gure_TFMT(x1, x2, x3; t),acombinatorial eld([6]) for F. Clearly,thegraph GL[F]characterizes the behavior of Fno matter whether the system(4.2)issolvableornot. Calculationshowsthat thesystem(4.2) of equations is non-solvable or not dependent on_TFMT(x1, x2, x3; t)= or not.Particularly,if_TFMT(x1, x2, x3; t) =,thesystem(4.2)isnon-solvableandwecannot just characterizethebehaviorof Fbythesolvabilityofsystem(4.2). Wemust turnthecontradictory system (4.2) to a compatible one, such as thoseLinfan Mao.A Review on Natural Reality with Physical Equations 281Volume 11 (2015) PROGRESS IN PHYSICS Issue 3 (July)shownin[10]andhavetoextendmathematicalsystemsongraph GL[F] ([12]) for holding the reality of F.Noticethat thereisaconjecturefor developingmathe-matics in[4] calledCCconjecturewhichclaims that anymathematical sciencecanbereconstructedfromorturnedintocombinatorization. Suchaconjectureisinfactacom-binatorialnotionfordeveloping mathematicsontopologicalgraphs, i.e.nds the combinatorial structure to reconstruct orgeneralize classical mathematics, or combines dierent math-ematical sciences and establishes a new enveloping theory ontopological graphs for hold the reality of things F.5 ConclusionRealityofathingisholdonobservationwithlevel depen-dent ontheobserverstandingout or inthat thing, particu-larly,aparticleclassiedtoout-orin-observation, orparal-lelobserving fromamacro ormicroviewandcharacterizedby solvable or non-solvable dierential equations, consistentwith the universality principle of contradiction in philosophy.For holdingontherealityof things, theout-observationisbasic but the in-observation is cardinal.Correspondingly, thesolvable equation is individual but the non-solvable equationsare universal.Accompanying with the establishment of com-patiblesystems, wearealsoneededtocharacterizethoseofcontradictorysystems, particularly,non-solvable dierentialequations on particles and establish mathematics on topolog-ical graphs, i.e.mathematical combinatorics, and only whichistheappropriatewayforunderstanding thenaturebecauseall things are in contradiction.Submitted on June 18, 2015/ Accepted on June 20, 2015References1. 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Aninquiryintothehumanmind ontheprinciplesofcommonsense. in BrookesD., ed., Edinburgh UniversityPress, 1997.17. Smarandache F. Paradoxist Geometry. State Archives from Valcea, Rm.Valcea,Romania,1969,and inParadoxistMathematics. CollectedPa-pers (Vol. II). Kishinev UniversityPress, Kishinev, 1997, pp. 528.18. SmarandacheF. Anewformofmatterunmatter, composedofparti-cles and anti-particles.Progress in Physics, 2005, v 1, 911.19. Smarandache F. and Rabounski D. Unmatter entitiesinside nuclei, pre-dictedbytheBrightsennucleoncluster model. ProgressinPhysics,2006, v. 2, 1418.20. TegmarkM. Parallel universes. inBarrowJ. D., DaviesP. C. W. andHarper C. L., eds. ScienceandUltimateReality: FromQuantumtoCosmos. Cambridge University Press, 2003.282 Linfan Mao.A Review on Natural Reality with Physical Equations