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УЧЕ= 053;ЫЙ И МЫСЛИТЕЛЬ

К 100-ЛЕТИЮ СО ДНЯ РОЖДЕНИЯ АКАДЕМИКА М.А. МАРКОВА


13 мая 2008 г. исполняетсn= 3; 100 лет со дня рож­дения академика Моисея Александроk= 4;ича Мар­кова - выдающегосn= 3; физика-теор = 77;тика, ориги­нальн= ого мыслителя, крупного организатоl= 8;а нау­ки. Он родился в селе Рассказово Тамбовской губернии. С 1921 = 75;. жил в Москве. В 1930 г. окон­чил Московский государствk= 7;нный университеm= 0;, затем работал в Физическом институте при МГУ. Уже в этот перио= 076; М. А. Марков связал свои науч­ные интересы с квантовой механикой, квантовой теорией пол = 03; и физикой элементарнm= 9;х частиц. В те годы эти направлениn= 3; исследованl= 0;й состав­ляли передовой фронт в теоретичесl= 2;ой физике. Им он оставался верен всю жизнь. Поздн= 077;е в круг его научных интересов вошли грави = 90;ационные явления в сильных полях и пути эволюции ранней Вселенной.

В 1934 г. М.А. Марков был приглашён акаде­миком СИ. Вавиловы= 084; на работу во вновь со­зда= ;нный Физический институт Академии на = 91;к (ФИАН). Здесь он проработал (= 089; небольшим п = 77;-


рерывом в 1954-1962 гг.) до конца своей жизни (сконч= 072;лся 1 октября 1994 г.). С 1970 г. он также поддерживаl= 3; тесные творческие контакты с И= 085;­ститутом ядерных исследованl= 0;й АН СССР, в ор­= 075;анизации которого принимал самое деяте = 83;ьное участие.

Научный рост М.А. Маркова был стремите­ле= н. В 1944 г. он защитил докторскую диссерта­ци= ю на тему "О взаимодейсm= 0;вии элементарнm= 9;х частиц с полем". В 1948 г. п= 086; приглашениn= 2; В.И. Векслера возглавил теоретичесl= 2;ий сектор в лабораториl= 0; ФИАНа, где со&#= 1079;давался электрон­ны= й синхротрон на 250 МэВ. Задачей М.А. Мар­кова была теоретичесl= 2;ая проработка программы первых эксперименm= 0;ов на синхротронk= 7;. Работа была завершена в сжатые срок = 80;, и первые экспе­римен= ты на ускорителе получили выверенную профессионk= 2;льную интерпретаm= 4;ию.

Успешна= ;я работа по отбору и анализу перво­очере= дных эксперименm= 0;ов на электронноl= 4; син­хротро = 85;е ФИАНа имели = 089;воим следствием при-


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глашение М.А. Маркова в Объединённm= 9;й инсти­тут ядерных исследованl= 0;й (Дубна). Здесь в 1954— 1962 гг. он возглавлял специальныl= 1; сектор, в за­ = 76;ачу которого входило выявление нестандартl= 5;ых задач для постановки эксперименm= 0;ов на протон­но= ;м синхрофазоm= 0;роне и поиск новы= 093; направлениl= 1; исслед&= #1086;вания в физике высоких энергий. С ук&#= 1072;зан­ной задачей сектор, безусловно, справился. Б= 099;л выдвинут ря = 76; нетривиальl= 5;ых идей и интер= 077;сных предложениl= 1;, часть из них нашла отраж = 77;ние в монографи = 80; М.А. Маркова "Гипероны и К-мезо-ны" (1958).

Заслуже= ;нной оценкой плодотворнl= 6;й деятель­нос= ти М.А. Маркова в эти годы стало его избра­ние в 1953 г. членом-корр = 77;спондентом Академии на = 91;к СССР и несколько позднее, в 1966 г., - её действит = 77;льным членом. Ещё через год, в 1967 г., М.А. Марков избирается на пост академика-с = 77;к­ретаря Отделения ядерной физики, который он занимал бессменно с 1967 по 1988 г.

= Избрани= ;е руководитеl= 3;ем отделения было обу­сло= ;влено несколькимl= 0; причинами, н= 086; прежде всег = 86; тем, что его работа и в ФИАНе, и в Объеди­нённ= ом институте ядерных исс = 83;едований показа­ла: будучи по складу ума физиком-тео = 88;етиком, он


тем не менее был способен оценивать значимость тех или иных конкретных эксперименm= 0;альных на­чинаний и настойчиво добиваться их реализац = 80;и.

Пост академика-с = 77;кретаря Отделения ядерной физики наде = 83;ил М.А. Маркова новыми организа­ци= онными полномочияl= 4;и и усилил его актив­ность в деле поддержки новых начинаний в = 103;дер­ной физике и в физике элементарнm= 9;х частиц. Од­нl= 0;м из первых ег= 086; шагов стала решительнаn= 3; поддержка инициативы по созданию = 074; рамках Акад = 77;мии наук института, в котором могли бы быт= 100; сосредоточk= 7;ны исследованl= 0;я в области фи&sh= y;зики частиц малы = 93; и средних энергий. Отдавая се­б= ;е отчёт в важности исследованl= 0;й при больших = 080; сверхбольшl= 0;х энергиях взаимодейсm= 0;вующих ча­стиц, учёный тем н= 077; менее отстаивал тезис о не­оk= 3;ходимости и полезност = 80; исследованl= 0;й в обла­сти относительl= 5;о небольших энергий час = 90;иц при условии достижения = 74; эксперименm= 0;ах предельной точности измерений. Инициатива получила госу­дарств= енную поддержку, и в 1970 г. был создан Инст = 80;тут ядерных исследованl= 0;й.

Из ФИАНk= 2; в новый институт были переведе­ны лабораториl= 0;, занимавшиеl= 9;я проблемами = 92;и­зики атомного ядра и изучением фотоядерныm= 3; процессов при небольших энергиях. Туда же пере&sh= y;шла и лабораториn= 3; "Нейтрино", организоваl= 5;ная в ФИАНе в 1963 г. по предложе = 85;ию М.А. Марко­ва, и передано строительсm= 0;во объектов бу = 76;ущей Баксанской нейтринной обсерваторl= 0;и (Северный Кавказ). В дальнейшем нейтринные исследова­н= ия стали одним из важнейши = 93; направлениl= 1; ра­бот Института ядерных исследованl= 0;й РАН.

= Ещё одним важны = 84; элементом в структуре с = 86;­здаваемог = 86; института должна была стать Мезон-= 085;ая фабрика, использующk= 2;я пучок ускор = 77;нных протонов от линейного ускорителя = 85;а 600 МэВ. Строит= ;ельство ускорителя, начатое в конце 1970-х годов, сильн= 086; затянулось по не завися= 097;им от физиков причинам, но тем не менее было за­верш= ;ено в конце 1980-х. Первоначалn= 0;ные цели, постав= 083;енные при организациl= 0; института, б= 099;ли в основном достигнуты.

В ФИАНе М.А. Марков активно поддерживаl= 3; старейшее в этом институте направлениk= 7; работ -&= #1092;изику космическиm= 3; лучей. В частности, о= 085; способ­ств= овал возрождениn= 2; исследованl= 0;й космическиl= 4; лучей на Памире (научная станция "Паl= 4;ир").

На постm= 1; академика-с = 77;кретаря Отделения я = 76;ер­ной физики М.А. Марков многое сделал для акти­визаци= и жизни физическогl= 6; сообщества, занима­ющег= ося изучением свойств микромира. В прак­тику были введен = 99; рабочие совещания п = 86; актуальным проблемам физики с заметным уч = 72;­стием иностранныm= 3; учёных; оживились и тради­ционн= ые ежегодные сессии отделения, чаще ста­ли проводитьсn= 3; конференциl= 0;. С начала 1980-х г = 86;­дов под личным патронажем М.А. Маркова и с


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активным участием ФИАНа и Института ядер­ных исследованl= 0;й в стране проводилисn= 0; (раз в два года) международl= 5;ые конференциl= 0; по широкому кругу проблем, связанных с гравитациеl= 1;.

Работа k= 4; Академии наук, бесспорно, проде­монст= рировала незаурядныk= 7; качества М.А. Мар­кова как организатоl= 8;а науки, умевшего улавли­вать тенденции развития физики частиц и сво= 077;­временно на них реагироватn= 0;. Но во все времена, на всех этапах своей деятельносm= 0;и М.А. Марков прежде всег = 86; оставался учёным. Всё с&#= 1074;оё свобод­ное время он отдавал науке. Главное, что всегда его выделяло в окружении коллег, - это нестан­дарт= ное мышление. Он, как правило, избегал рас­= ;суждений в рамках привычных схем и предп= 086;чи-


тал идтl= 0; непроторенl= 5;ыми путями. В шутку он го­k= 4;орил: "Я не люблю там, где людно".

= Своеобр= ;азие и смелость с= 091;ждений М.А. Мар­кова, столь характерныm= 3; для его научных раб = 86;т, возможно, могут быть объяснены той атмосфе­= ;рой в физике конца 1920-х - начала 1930-х годов, в кото&#= 1088;ой происходилl= 6; его становлениk= 7; как учёного. В начале XX= в. были сформулироk= 4;аны представле­= ния специальноl= 1; и общей теории относительl= 5;о­сти, в середине 20-х годов созда = 85; аппарат для = 087;ро­ведения вычислений = 74; квантовой механике, а чуть позже, в конце 20-х годов, - математичеl= 9;кий ап­парат для вычислений = 74; квантовой теории поля (тогда электродинk= 2;мики). Это был грандиозныl= 1; прорыв в науке, и воздух был буквально насыщен революционl= 5;ыми идеями. Не следует также упус­к= ;ать из виду, что все эти замечательl= 5;ые работы были выполнены очень молодыми людьми (не старше 30 лет). Это не могло не служить стиму­лом. Сам М.А. Марков говорил: "Я принадлежу = 82; поколению, в= 086; времена которого рождалась и развиваласn= 0; современнаn= 3; теория элементарнm= 9;х частиц, современнаn= 3; квантовая теория".

Сказанн= ;ое выше, возможно, объясняет, поче­му на разных этапах своего творчества М.А. Мар­ков с= 086;средотачив&= #1072;л внимание на самых сложных и жгучих проблемах, относящихсn= 3; к устройств = 91; как материи на микроуровнk= 7;, так и Вселен= 085;ой в целом. И хотя эти проблемы далеко не вс= 077;гда поддавалисn= 0; решению, он каждый раз в= 099;двигал всё новые и новые идеи, нередко уга = 76;ывая и пред­восхи= ;щая дальнейший ход развити = 03; исследова­н= ий. Его научные работы можн = 86; сгруппировk= 2;ть вокруг следующих основных направлениl= 1;: кван­товая теория поля, физика элементарнm= 9;х частиц, физика нейтрино, гравитация = 80; космология. = 042; опре­делённой степени пор = 03;док, в котором перечисленm= 9; эти направлениn= 3;, отражает хронологию преимуще­ственн&= #1086;го интереса к ним со стороны М.А. Маркова.

Первая его работа была связан = 72; с квантово-м= 077;ханическим расчётом энергетичеl= 9;ких уровней молекулы бензола. Эта была модная = 074; начале 1930-х годов область квантовой химии, которая наг = 83;ядно демонстрирl= 6;вала возможностl= 0; кванто­вой механики. Бы= 083; ещё ряд рабо= 090; по квантово = 81; механике, исследованl= 0;ю свойств симметрии урав­нения Дирака. Но во второй половине 30-х годов М.А. Маркова всё больше прив = 83;екает проблема борьбы с расходимосm= 0;ями в квантовой теории по­ля= ;, то есть с появлением бесконечныm= 3; величин в расчётах. В те годы эта проблема занимала ум = 99; многих физиков. Существоваl= 5;ие расходимосm= 0;ей было очевидным образом связано с точечностьn= 2; взаимодейсm= 0;вия электромагl= 5;итного поля с элек­m= 0;роном. Однако попытки прямого введения в т= 077;о­рию пространстk= 4;енных размеров (формфактор = 72;) электрона терпели неудачу.


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<= span style=3D'font-size:11.0pt'>При трактовке этой проблемы М.А. Марков, може= 090; быть, впервы= 077; удивил окружающих ориги­нальн= остью своей идеи. В работе 1940 г. "О четы­рёхмер= но-протяжён = 85;ом электроне" он делает до&sh= y;пущение о существоваl= 5;ии некоммутатl= 0;вности электромагl= 5;итного поля и координаты = 87;о анало­гии с некоммутатl= 0;вностью операторов импульса и координаты = 74; обычной квантовой м = 77;ханике. Такое допущение фактически ведёт к нелокализуk= 7;мости самого элек = 90;ромагнитно&#= 1075;о поля (в ма­лы = 93; пространстk= 4;енных областях), а технически -= 082; появлению в теории малого параметра р = 72;змер­ности длины, который мог бы способствоk= 4;ать устранению бесконечноl= 9;тей.

В послевоеннm= 9;е годы идея нелокализуk= 7;мости физических полей была подхвачена лауреатом Нобелевскоl= 1; премии по фи= 079;ике X. Юкавой = 080; его последоватk= 7;лями. И хотя в этом направлениl= 0; ис­следован= ий сделано немало интересногl= 6; для фи­зики частиц, создать последоватk= 7;льную теорию ликвидации расходимосm= 0;и в квантовой теории по­ля всё же не уда&#= 1083;ось. Поэтому много позднее, в 1970-е годы, М.А. Марк= ов возвращаетl= 9;я к идее нелокализуk= 7;мости физических полей и приходит к выводу, что естественнm= 1;ю основу для проявле­ния этого эффекта создают сильные гравитаци­о= нные поля и искажения метрики пространстk= 4;а на планковскиm= 3; длинах (~10^33 см= ;). Стоит заме­т= ;ить, что первые соображениn= 3; о возможной = 088;оли гравитации = 74; снятии проблемы возникновеl= 5;ия расходимосm= 0;ей высказывалl= 0;сь М.А. Марковым ещё в 1947 г.

Идея нелокализуk= 7;мости физических полей по­сте= ;пенно трансформиl= 8;овалась в теорию так на­зываемых билокальныm= 3; полей. В этом варианте он = 72; фактически свелась к предположеl= 5;ию о су­ществов= ;ании внутренних (четырёхмер = 85;ых) пере­менных у элементарнm= 9;х частиц. В таком виде т= 077;ория развиваласn= 0; в Японии. М.А. Марков, от­тl= 6;лкнувшись от предположеl= 5;ия о существоваl= 5;ии внутренних переменных = 91; элементарнm= 9;х частиц, реши= 090;ельно конкретизиl= 8;овал его, придав ему форму утверждениn= 3;, согласно которому внутрен­няя структура каждой элементарнl= 6;й частицы мо­ж= ;ет быть описан = 72; в виде четырёхмерl= 5;ого осцил­лятор= а. С этих позициий можно было снова по­дой= ;ти к проблеме ликвидации расходимосm= 0;ей в квантовой теории поля. Быстрое падение волно­вых функций осцилляторk= 2; в импульсно = 84; про­с = 90;ранстве давало необходимоk= 7; обрезание р = 72;сходи­мостей. Взаимодейсm= 0;вие с внутреннимl= 0; переменны­ми (полями), по-видимому, снимало противоречl= 0;е с принципо = 84; причинностl= 0;, в отличие от обычных формфакторl= 6;в. М.А. Маркова назвал предло­женн= ую структуру "динамическ= ;и деформируе­= мым формфакторl= 6;м".

В началk= 7; 1950-х годов, когда обсуждаласn= 0; осцилляторl= 5;ая модель элементарнl= 6;й частицы, в


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эксперимен= тах на ускорителяm= 3; и в космичес= 082;их лучах были обнаружены возбуждённm= 9;е состоя­ния нуклонов, а затем и гипероны. Их появление требовало объяснения. М.А. Марков и здесь по­шёл на смелый шаг: он привлек осцилляторl= 5;ую модель для трактовки наблюдаемыm= 3; фактов. С этих позици = 81; возбуждённm= 9;е нуклоны можно было р= 072;ссматриват&= #1100; как первые уровни возбужде­ни= я осцилляторk= 2;, а гипероны - как более сложные возбуждениn= 3;, которые (в силу имеющихся з = 72;пре­тов) распадаютсn= 3; гораздо медленнее (метастабил = 00;ные состояния).

<= span style=3D'font-size:11.0pt'>В следующей своей работ = 77; М.А. Марков пред­ложил созданную и = 84; систематикm= 1; известных в ту пору элементарнm= 9;х частиц (1955). Используя м = 86;­дель Ферми-Янга для представлеl= 5;ия пионов как сложных состояний, состоящих и = 79; нуклона и ан&sh= y;тинуклона, и обобщив её на возбуждённm= 9;е состо­яния нуклонов и антинуклонl= 6;в, М.А. Марков по&= shy;лучил возможностn= 0; экономно с единых пози = 94;ий описать все известные тогда мезон = 99; (пионы и К-мезоны), нуклоны и гипероны. По своей внут­р= ;енней структуре модель М.А. Маркова оказа­лась близким аналогом известной модели Ш. Сак&#= 1072;ты (1956).

Ш. Сакат = 72; знал о работ= 077; М.А. Маркова. Более того, он специально приезжал в Москву в 1956 г. для обсужде = 85;ия этого круга вопросов. В своей стать = 77; он пишет: "Ма= 088;ков предложил составную модель, которая очень похож = 72; на нашу". Хорошо известно, чт= 086; модель Сакаты способствоk= 4;ала установленl= 0;ю унитарной симметрии и = 074; конеч­ном счёте проложила дорогу модели кварков. По­l= 9;ледняя позволила дать реальное описание струк-


 


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туры сильно взаимодейсm= 0;вующих частиц. Можн= 086; сказать, что М.А. Марков, рассматривk= 2;я модель деформируеl= 4;ого формфакторk= 2;, с поразител = 00;ной интуицией нащупал пут = 00;, приведший к понима­нию истинной структуры адронов.

= Результ= ;аты первых эксперименm= 0;ов по обнару­же= ;нию реакторных нейтрино (1953-1956) усили­ли интерес физиков к природе нейтрино, об= 088;азу­ющихся при распаде пионов и К-мезонов вместе с мюонами. В те годы при обсуждении = 74; Дубне будущих эксперименm= 0;ов на синхрофазоm= 0;роне М.А. Марков поднимает вопрос о важности ис­= ;следований с нейтриннымl= 0; пучками. Побуди­тель= ным мотивом для подобных эксперименm= 0;ов тогда было наличие запретов на ряд распадо = 74;: μ е + γ, μ = 212;- е + е + е, которые ставили вопрос о существоваl= 5;ии двух типов нейтрино. М.А. Марков, анализируя все имеющиеся д = 72;н­ные, независимо от других авторов выдвигает г = 80;­потезу о принципиалn= 0;ном отличии мюонного и электронноk= 5;о нейтрино (статья "Гипероны и К-мезоны", 1957). В том же 1957 г. с подобной ги­= ;потезой выступают Ю. Швингер и К. Нишиджи-ма. В частных беседах эту идею М.А. Марков об­су= ;ждал гораздо раньше. Хорошо известно, чт= 086; гипотеза о принципиалn= 0;ном отличии мюо = 85;ного и электронноk= 5;о нейтрино триумфальнl= 6; подтвер­жде= на в эксперименm= 0;е на протонно = 84; ускорителе = 74; США в 1962 г.

С конца 1950-х годов научные интересы М.А. Маркова зам = 77;тно смещаются в направлениl= 0; физики нейт = 88;ино. Возможностl= 0; получения ней­тринных пучков на ускорителяm= 3; были в те год&#= 1099; достаточно ограничены, = 072; энергии нейтрино не слишком велики (несколько гигаэлектрl= 6;нвольт). В этой связи М.А. Марков предложил использо­ва= ть потоки "атмосферны= ;х" нейтрино, которые


возникают при взаимодейсm= 0;вии космическиm= 3; лу­чей с веществом атмосферы. И= 093; энергии уже = 079;а­метно выше (сотни гигаэлектрl= 6;нвольт). Кроме того, в принципе могли существоваm= 0;ь ещё неиз­вес= ;тные источники космическиm= 3; нейтрино.

Для проведения эксперименm= 0;ов с "атмосфер­= ными" и космическиl= 4;и нейтрино было абсолю = 90;­но необходимо изыскать методы и способы рег = 80;­страции нейтринных потоков, в особенностl= 0; с учётом малости нейтринных сечений. Последнее означало, чт= 086; даже по меркам физи = 82;и высоких энергий соответствm= 1;ющие детекторы должны быть огромными. К тому же след= 086;вало разрабо­тат= ь методы выделения событий от природных нейтрино на фоне событи = 81;, инициироваl= 5;ных проникающиl= 4;и частицами космическиm= 3; лучей (мюонами).

В 1960 г., выступая на Международl= 5;ой конфе­ренци= и в Рочестере, М.А. Марков изложил сво = 02; довольно неожиданнуn= 2; идею постановки экспе­римен= тов по регистрациl= 0; "атмосферны= ;х" и кос­мическ= ;их нейтрино. Он предложил использоваm= 0;ь для целей ре= 075;истрации приходящих извне на Зем&sh= y;лю нейтрино большие объёмы воды - подземные озёра (для ослабления фона космическиm= 3; лучей) = либо глубинные слои океана. Регистрироk= 4;ать пред­лагал= ось черенковскl= 6;е излучение мюонов, рожд= 072;е­мых приходящимl= 0; на Землю нейтрино. Гр= 086;мадные водные мишени свое = 81; большой массой долж = 85;ы компенсироk= 4;ать малость нейтринных сечений.

Идея постановки подземных и глубоководl= 5;ых эксперименm= 0;ов в области физики нейтрино и ней­тринной астрофизикl= 0;, выдвинутая М.А. Марко­вы = 84;, получила признание в = 86; всём мире. В настоя­щее время уже существует достаточно развитая сеть подземных установок, среди котор = 99;х такой многоцелевl= 6;й гигант, как черенковскl= 0;й водный


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детектор Super-Kamiokande= (50 х 103 т) в Японии, крупномасшm= 0;абные черенковскl= 0;е детекторы с эффективноl= 1; массой ~107 т в естественнm= 9;х сре­дах - глубоководl= 5;ый детектор НТ200+ на Байка­ле l= 0; подлёдный детектор AMANDA на Южно = 84; полюсе. Исследованl= 0;я, выполненныk= 7; на этих установках, уже принесл = 80; ряд выдающи = 93;ся ре­зультато= в. Достаточно сказать, что &#= 1080;менно в экс­периме= ;нте с "атмосферны= ;ми" нейтрино на = 076;етек­торе Super-Kamiokande обнаружен эффект осци = 83;­ляции нейтрино, одним из следствий которого является наличие у ни= 093; отличной от нуля массы. Достойные, а в некоторых задачах и ли= 076;ирующие позиции нашей стран = 99; в этой области исследова­н= ий в решающей степени определяютl= 9;я наличием отечественl= 5;ой эксперименm= 0;альной базы - ком­пл = 77;ксов установок Баксанской = 80; Байкальскоl= 1; нейтринных обсерваторl= 0;й Института я = 76;ерных ясследованl= 0;й РАН. Они создавалисn= 0; по инициа­тиве М.А. Маркова и пользовалиl= 9;ь его повсе­дн= ;евным вниманием и поддержкой.

Перспек= ;тивы исследованl= 0;й с использоваl= 5;ием "атмосферны= ;х" нейтрино критически зависели от правильной оценки величины не = 81;тринных се­чений при высоких энергиях. В 1960- = 93; годах боль­ш= ;инство физиков утверждало, что подобны = 77; экс­перимен= ты перспективm= 9; не имеют, поскольку к = 86;­нечные размеры нуклона резко ограничиваn= 2;т сечение взаимодейсm= 0;вия нейтрино с нуклонами. Вопреки эти = 84; мнениям М.А. Марков прив = 86;дил физические соображениn= 3; о том, что сеч&= #1077;ние ней­тринных многочастиm= 5;ных процессов будет расти = 089; энергией частиц (1967). Он оказался прав. Обна­рm= 1;жение в 1969 г. партонной (фактически кварко-вой) структуры нуклонов вскрыло причины пре = 76;­сказанног = 86; учёным поведения нейтринногl= 6; сече-


ния. Его интуици = 03; оказалась сильнее формальных доводов.

В конце 1960-х годов М.А. Марков, сохраняя привязанноl= 9;ть к физике нейтрино, снова меняе = 90; направлениk= 7; своей деятельносm= 0;и и обращаетс = 03; к проблемам сильных гравитациоl= 5;ных полей. (Вспомните его фразу: "Я не люблю там, где люд­но".) Поворот к гравитациоl= 5;ной проблематиl= 2;е пер­вонача= льно был связан с квантовой теорией пол = 03; и физикой элементарнm= 9;х частиц. Разм= 099;шляя о возможной величине фундаментаl= 3;ьной длины, которая могла бы ликвидировk= 2;ть расходимосm= 0;и в теории поля, М.А. Марков приш = 05;л к выводу, что <= span style=3D'letter-spacing:-.05pt'>наибол&= #1077;е естественнm= 9;м кандидатом могла бы стать планковска= я длина (~10~33 см). Такой длине должна отвечать частица предельной массы (~10"5 г), кото­рую он назвал "максимоном= ;" (1965). Это была бы во многих отношениях удивительнk= 2;я частица. За счёт гигантской энергии связи составная с = 80;­стема из двух максимонов имела бы ту же пре­дельн= ;ую массу. Возбуждениk= 7; этой систем = 99; сразу же возвращало бы её (благодаря излучению лёгких частиц) в исходное состояние. М= 072;ксимой был бы действителn= 0;но микрочастиm= 4;ей предельной массы.

<= span style=3D'font-size:11.0pt'>К указанному значению предельной массы можно прийти, как показал М.А. Марков, с со­ = 74;ершенно с другой стороны, рассматривk= 2;я испа­рение чёрных дыр. Он привёл аргументы, соглас­но которым чёрная дыра не должна исчезать бе = 89;­следно, она должна сохранять конечную массу, совпадающуn= 2; с массой максимона, з= 072; счёт кван­то= ;вых нулевых колебаний. М.А. Марков назвал таки = 77; образованиn= 3; "элементарн= ;ыми чёрными дырами". Реликтовые элементарнm= 9;е чёрные ды­ры= ;, или максимоны, в определённm= 9;х количестваm= 3; могли бы присутствоk= 4;ать во Вселенно = 81;. Может быть, они имеют отношение и = 082; "тёмной матk= 7;-


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ри&#= 1080;", изучением которой столь активно в на= 089;тоя­щее время занимаются астрофизикl= 0;.

Между массивными коллапсируn= 2;шими объек­тами и микрочастиm= 4;ами, как показал М.А. Мар­ков, может существоваm= 0;ь определённk= 2;я связь. На­пример, материя, отвечающая замкнутому фридма-нов = 89;кому миру, при наличии в не= 081; электричекl= 6;го заряда предстаёт внешнему наблюдателn= 2; как микрочастиm= 4;а с планковскиl= 4;и размерами, т= 086; есть мир перестаёт быть замкнутым. Подобные образо­вания М.А. Марков назв = 72;л "фридмонами= ;". Внешне "фрl= 0;дмон" выглядит ка = 82; своеобразнk= 2;я заряжен­ная частица с массой ~10—б г. Для внутреннегl= 6; на­блюдател= я размеры такой системы могут быть огромными. Это может означать, чт= 086; наши пред­ст= ;авления о том, что следует называть микроча­сти= цей, могут в дальнейшем подвергнутn= 0;ся кор­рекции.

В последние годы жизни М.А. Марков зани­мался анализом возможного поведения Вселен­ной на ранних стадиях её развития вблизи точк = 80; сингул&= #1103;рности. Для мира Фридмана наличие син = 75;у­лярност = 80; является серьёзной п = 88;облемой. В каче­стве рецепта борьбы с сингулярноl= 9;тью М.А. Мар-


ков выдвигает предположеl= 5;ие о существов = 72;нии предельногl= 6; значения плотности материи и пр= 077;­дельного (планковско = 75;о) радиуса кривизны. Во= 079;­можно, когда-нибуд = 00; квантовая теория грав = 80;та­ции оправдает эти предположеl= 5;ия. М.А. Марков же в своих работах пытался моделироваm= 0;ь по­следстви= я этих допущений, видоизменяn= 3; уравне­ние Эйнштейна. Оказалось, что при достижении критическоl= 1; плотности материи Вселенная пере­ходит во Вселенну = 02; де-Ситтера, отвечающую = 87;остоянной кривизне, и тем самым избегает си = 85;­гулярност = 80;. М.А. Марков обращает внимание на то, что при наличии де-ситтеров = 89;кой стадии раз­в= ;ития мира становится возможным обсуждение моделей, связанных с идеей постоянно о = 89;цилли­рующ = 77;й Вселенной.

<= span style=3D'font-size:11.0pt'>Рассмат= ;ривая де-ситтеров = 89;кую фазу развития Вселенной, о= 085; дополняет уже сделанные предпо­ложе= ния ещё одним - гипотезой о = 73; асимптотичk= 7;­ской свободе гравитациоl= 5;ных взаимодейсm= 0;вий, то есть допущением их исчезновенl= 0;я на предельн = 86; малых размерах. Пр= 080; этом появля = 77;тся порази­тель= ная возможностn= 0; - создание совершенно = 85;овой Вселе&#= 1085;ной после прохождениn= 3; исходной Вс = 77;ленной де-ситтеро = 74;ской фазы. Иначе говоря, возникают другие вселенные. Может быть, в работах, связан­ных с ранней Вселенной, М.А. Марков как нигде прежде поражает богатством = 80; неистощимоl= 9;тью своей фантазии. Зн= 072;чимость его предположеl= 5;ий, касающихся свойств ранней Вселенной, похоже, ещё не оценена в полной мере.

= На этом мы завершае = 84; рассказ об основных ре = 79;ультатах научных работ М.А. Маркова. Каж&sh= y;дый из них был очен= 100; важен в своё время для разви­тия теоретичесl= 2;их исследованl= 0;й, а в ряде случ&#= 1072;ев оказа&#= 1083; заметное влияние на дальнейшие теоретиче­= ские построения. Если же говорить о предложениl= 0; учёного использоваm= 0;ь большие вод = 85;ые детекто­ры для регистрациl= 0; нейтрино, то оно надолго = 086;пределило развитие этой област = 80; исследованl= 0;й.

<= span style=3D'font-size:11.0pt'>Наше описание творчества М.А. Маркова бы­ло бы неполным, если бы мы не упомянули о его интерес = 77; к философии = 080; блестящем литератур­н= ом и публицистиm= 5;еском даре. В философскиm= 3; и публицистиm= 5;еских статьях раскрылась ещё одна грань таланта этого щедро одарённого природой человека.

Интерес к философии возник у М.А. Маркова в ст= 091;денческие годы, и постоянное стремление = 82; философскоl= 4;у осмыслению новых дости = 78;ений физики он пронёс чере = 79; всю свою жиз= 085;ь. Ещё в 1947 г. в журнале "Вопросы философии" была опубликоваl= 5;а статья М.А. Маркова "О природе физическогl= 6; знания". В ней для широкой аудито­рии излагалась привычная физикам трактовка понятий и представлеl= 5;ий квантовой м = 77;ханики. Статья была написана по просьбе тог = 76;ашнего президента Академии наук СССР СИ. Вавилова.


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Как вспоминал Моисей Александроk= 4;ич, Вавилов сказал ему: "Это не только моя л= 080;чная просьба" .

Время написания статьи было выбрано нес = 83;у­чайно. В те годы усиливалисn= 0; нападки на чистую наук = 91;, на физику в частности. Задача стат = 00;и за­ключалас= ь в том, чтобы внести полную ясно = 89;ть в представл = 77;ния квантовой механики и снять с неё налёт какой-= 083;ибо мистики. М.А. Марков блиста­тель= но справился с этой задаче = 81;. Читать стат = 00;ю до сих пор интересно и поучительнl= 6;. Тем не ме­неk= 7; на статью и её автора обрушилась ожесточён­ная критика. М.А. Маркова обвиняли в проповеди идеали&#= 1079;ма и агностицизl= 4;а. Критика был = 72; явно тен­ден= ;циозной и была тесно связана с готовившейl= 9;я в тот момент сессией по осуждению и = 76;еализма в фи­= 079;ике. По счастью, эта сессия н= 077; состоялась.

= Упомяне= ;м ещё одну философскуn= 2; работу учё­н= ;ого - "О современ= 085;ой форме атомизма" (ч. 1 и 2, 1960), в которой рассмотренm= 9; понятия "дискрет­ны&= #1081;" и "непрерывны= ;й" на фоне последних и = 89;сле­довани = 81; в физике частиц и предложено скоррек­тир= ованное определениk= 7; понятия "элементарн= ;ая частица", отличное от традиционнl= 6;го. К этой ра­боm= 0;е примыкает статья "О понятии первоматерl= 0;и" (1970), в которой критически анализируеm= 0;ся понятие "состоит из...&q= uot; и обсуждаютсn= 3; неожидан­ные возможностl= 0;, связанные с трактовкой = 87;олуза­мкну = 90;ых миров ("фридмонов"= ;) как микрочастиm= 4;.

= Если говорить о М.А. Маркове как о публиц= 080;­сте, то нельзя не упомянуть его полемическm= 1;ю статью "Будущее науки (ускорители элементар­н= ых частиц следующих поколений)", опублико­ва= нную в журнале "Успехи физических наук" в 1973 г. В т= 086; время обсуждалисn= 0; планы строитель­ства крупнейших ускорителеl= 1; частиц, требовавшиk= 7; весьма заметных финансовых затрат. И в зарубеж­ной, и отечественl= 5;ой печати появилось немало кри­тических выступлениl= 1;, в которых доказывалоl= 9;ь, что такие затраты не оправданы, а потому их лу= 095;­ше обратить дл = 03; целей разви = 90;ия других наук. Лейт­мотиво= м подобных высказыванl= 0;й было утверж = 76;е­ние: самый блистательl= 5;ый период в физике мик­р= ;очастиц уже позади и ничего важного в не= 081; уже не возникнет.

М.А. Марков выступил решительныl= 4; против­нико= м таких утверждениl= 1; и привёл немало дово-


дов в пользу того, что решающий прорыв в физ= 080;­ке частиц може = 90; быть делом недалёкого будуще­го. Поразительl= 5;ым образом он оказался пр = 72;в почти немедленно. Уже в 1974 г. был открыт но­вы= ;й тип тяжёлог = 86; кварка, в 1975 г. - новый тип ле= 087;тона, в 1977 г. - ещё один тип кварка, затем в начале 1980-х годов - проме&#= 1078;уточные бозоны слабых взаимодейсm= 0;вий, и вскоре оформилась структура представлеl= 5;ий о взаимодейсm= 0;вии эле­ментарн= ых частиц, которая получила название "Стандартна= ;я модель".

= В периоk= 6; 1973-1987 гг. М.А. Марков был чле­ном совета и исполкома Пагуошскогl= 6; движения учёных. И здесь снова проявилось активное нача­ло его натуры. Упомянем хотя бы две его статьи, обращенные = 82; западным учёным: "Научились ли мы мыслит= 100; по-новому?" (к 20-летию Пагуош­ског= о движения, 1977 г.), и "Учёные и будущее че­л= ;овечества" (1981).

Столети= ;е со дня рождения Моисея Алексан­дро= вича Маркова - прекрасный повод вспом = 85;ить о ярком человеке и замечательl= 5;ом учёном, кото&sh= y;рый всю жизнь посвятил науке. Он бесконечно любил физик = 91; и отдавал ей всё свободн = 86;е время. Но занимая высокие посты, он одновременl= 5;о по­нимал и свою ответственl= 5;ость перед науко = 81; в стране. И понимая это, в прямом смысле зани = 84;ал­ся служением науке. У М.А. Маркова был = 72; удиви­тельн= ая вера в силу человеческl= 6;го разума, в то, что разум способен справиться = 89; теми загадками, которые ста = 74;ит перед нами природа. Он очень любил высказыванl= 0;е А. Эйнштейна: "Самая не­по= стижимая вещь в мире - это то, что мир всё-та­кl= 0; постижим". Оно могло бы послужить своеоб­разн= ым заветом М.А. Маркова все = 84; людям, кото­l= 8;ые приходят в науку.

Г.В. ДОМОГАЦКИЙ,

доктор физико-мате = 84;атических наук,

В.Г. КАДЫШЕВСКИh= 9;,

академи= ;к,

А.А. КОМАР, докто= 088; физико-мате = 84;атических наук,

В.А. МАТВЕЕВ,

академик


ВЕСТНИК РОССИЙСКОЙ АКАДЕМИИ НАУК  &n= bsp;   том 78      № 4<= span style=3D'mso-spacerun:yes'>      2008

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