THE ESSENCE OF QUANTUM MECHANICS

Transcription

1 THE ESSENCE OF QUANTUM MECHANICS Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: ttp: E-ail: All rigts resered. Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: E-ail: All rigts resered.

2 7. PRECESSION OF A SPACE CHANNEL VS.DE BROGLIE WAVES We known fro preious apters tat a oing spae annel defors boundary ypersurfaes, terefore, it oes in a resultant otion, osillating around an equilibriu position. An axis, inlined at te angle arsin to te ersor nˆ onneting different irror spaes and oing at a eloity of., is te equilibriu position for a spae annel Preession of a spae annel wi oes around an equilibriu position as led pysiists to beliee tat wat tey deal wit is a wae of atter wit a de Broglie waelengt: p 6,66* Js () y C nˆ e q U r e e nˆ FIG. Also known is te priniple of unertainty (indeterinany), or Heisenberg s relation, wi is expressed by te following forula for oentu and position: p y y () Aording to te Teory of Spae, te unertainty or indeterinany disoered by Heisenberg results fro inorret easureents on tree-diensional pysial quantities of four-diensional objets of wi te otion onsists of oplex osillations around te equilibriu position. Moreoer, it is ard to iagine aurate easureents of a spae annel by eans of tree spatial oordinates. See Capter VI. Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: E-ail: info@tsengines.o All rigts resered.

3 Tis ery fat explains te infinities wi are present in Heisenberg s relation in te ase wen te infinity of one pysial quantity (operators of su pysial quantities do not oute) is equal to zero. To deterine te distane between te boundary ypersurfaes, let us onsider te spae annel U wi e oes at a eloity. Te annel U osillates around te equilibriu position (see: te figure aboe). Indeterinany of te position of y an be found fro te following equation: y q tg (), ene: y tg q () Terefore: y os () Assuing tat angular eloity is onstant, it is possible to selet appropriate eloities of a spae annel tus ausing a situation wen te aplitude C is equal to one-alf of te waelengt C : C T C Likewise, for any seleted k: (6) kc kc T (7) Hene: C k (8) Using te approxiations establised in apter 6. (9) and (96): See Capter VI. Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: E-ail: info@tsengines.o All rigts resered.

4 C s T (9), in wi s denotes [], we ae: k kc k s arsin s () T After expanding into a Malaurin series for : k s k s O 7 k k s s () For instane, for k we ae a eloity of: *6,66* *,6 8.8,6 () s *9,9* s In te aplitude C equation, we ae te dependene on te de Broglie waelengt, wi is equal to: os tg () p sin After substituting in te aplitude forula, we ae: C k tg () Diretly fro te figure () we an see tat an be assued C y wat leads us using (6) and (7) to te following inequities: Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: E-ail: info@tsengines.o All rigts resered.

5 C tg tg tg () (6) tg (7) Using equation (7) we ae: tg (8) Transforing te equation (7) we ae: s (9) s sin () α Substituting obtained result to te inequality on τ we ae: s () s () Ultiately, te distane te boundary ypersurfaes satisfies te inequality: s () After substituting in te equality aboe: Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: E-ail: info@tsengines.o All rigts resered.

6 6,66* Js s 9,9* kg e (), we obtain: 7,6867* 8,9*,89 () Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: E-ail: info@tsengines.o All rigts resered.

7 7. THE ESSENCE OF QUANTUM MECHANICS Quantu eanis uses te osillations of oing spae annels, wile approxiating te by eans of a wae funtion wit waelengts found using te de Broglie equation. Furterore, it is only onerned wit standing waes. Freely oing partiles are no exeption fro tat rule beause a wae funtion is required to be noralized. Fro te point of iew of te Teory of Spae, standing waes are stable states of te otion of spae annels in wi tey osillate around equilibriu positions. For illustration, let us iagine tat a spae annel irulates around te nuleus of a ydrogen ato, osillating around an axis inlined at te angle. Assuing tat, after one turn around te nuleus of a ydrogen ato, te spae annel as not opleted te full nuber of osillations around te axis inlined at te angle, we onlude tat disturbanes of spae surrounding te nuleus of a ydrogen ato will start to interat wit one anoter, leading to a ange in te orbit of te spae annel. Tis eans tat, quite rigtly, wae funtions are referred to as states in quantu eanis. In fat, tey are disrete states and, in ertain unique ases, i.e., in solid bodies, tey are able to fro ontinuous bands. In oter words, su states are erely te possible stable trajetories of eleentary partiles, and te nature of teir stability onsists in tat disturbanes of spae on losed trajetories in eery irulation will it exatly te sae pase of disturbanes of spae, tus aoiding self-interations, wi would oterwise ause a ange in te trajetory. Suing up, quantu eanis fatorizes te real onfigurational spae wit integrals of otion, wi appear to be wae funtions. Howeer, quantu eanis as a ore serious proble: it onstruts te onfigurational spae of partiles based on a tree-diensional spae. For instane, te onfigurational spae for two partiles is te Cartesian produt E E. Let us note tat, fro te Teory of Spae it follows tat te turn of an eleentary partile in a four diensional spae, for instane, around te inariant subspae L( e, e) passing troug te iddle of a spae annel leads to te ange of te partile into its antipartile. It appears tat quantu eanis is apable of inestigating een tat type of ases wit te use of te priniple of arge ontinuity. Suing up, it is to be stated unabiguously tat profound anges in quantu eanis are required in te following areas, to nae a few: - etod to for onfigurational spae, - etod to onstrut wae funtions, - operators orresponding to pysial quantities, - equations wi desribe interations. Te issue addressed is te extended notion of te integrals of otion wi depend on starting onditions. Quantu eanis is not taking all types of osillations of a spae annel around its equilibriu position into onsideration, as reealed by teory TP. Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: E-ail: info@tsengines.o All rigts resered.

8 Te issue will be takled in ore detail in our subsequent papers. Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: E-ail: All rigts resered.

9 7. ENTANGLED STATES Entangled states onfir te alidity of te Teory of Spae and proe tat, in ertain onditions, diffiulties onneted wit te easureent of an osillating spae annel an be oeroe. It needs to be stressed, tat te Bell inequality annot be et, beause quantu eanis in its present for annot orretly desribe een a single eleentary partile. Te reason for tis is failure to take into aount te oplex struture of eleentary partiles, te four diensional struture of spae, and osillations of all of te spae annels wi te partile is ade of. In onlusion, proing te ystial teleportation of quantu states basing on probability teory, wi inorretly assues tat all states of te syste are known, only ais to defend te dotrines of onteporary quantu eanis. Te key to understand Bell inequities is to obsere, tat tey are based on probability, wi inorretly states tat all of te eleentary states of te syste are known, wi is wrong onsidering te oplex nature of eleentary partiles and spae reealed by te TP teory. Capter belongs to te "Teory of Spae" written by Dariusz Stanisław Sobolewski. Http: E-ail: info@tsengines.o All rigts resered.