Space in Musical Semiosis : An Abductive Theory of the Musical Composition Process

Space in musical semiosis is a study of musical meaning, spatiality and composition. Earlier studies on musical composition have not adequately treated the problems of musical signification. Here, composition is considered an epitomic process of musical signification. Hence the core problems of composition theory are core problems of musical semiotics. The study employs a framework of naturalist pragmatism, based on C. S. Peirce’s philosophy. It operates on concepts such as subject, experience, mind and inquiry, and incorporates relevant ideas of Aristotle, Peirce and John Dewey into a synthetic view of esthetic, practic, and semiotic for the benefit of grasping musical signification process as a case of semiosis in general. Based on expert accounts, music is depicted as real, communicative, representational, useful, embodied and non-arbitrary. These describe how music and the musical composition process are mental processes. Peirce’s theories are combined with current morphological theories of cognition into a view of mind, in which space is central. This requires an analysis of space, and the acceptance of a relativist understanding of spatiality. This approach to signification suggests that mental processes are spatially embodied, by virtue of hard facts of the world, literal representations of objects, as well as primary and complex metaphors each sharing identities of spatial structures. Consequently, music and the musical composition process are spatially embodied. Composing music appears as a process of constructing metaphors—as a praxis of shaping and reshaping features of sound, representable from simple quality dimensions to complex domains. In principle, any conceptual space, metaphorical or literal, may set off and steer elaboration, depending on the practical bearings on the habits of feeling, thinking and action, induced in musical communication. In this sense, it is evident that music helps us to reorganize our habits of feeling, thinking, and action. These habits, in turn, constitute our existence. The combination of Peirce and morphological approaches to cognition serves well for understanding musical and general signification. It appears both possible and worthwhile to address a variety of issues central to musicological inquiry in the framework of naturalist pragmatism. The study may also contribute to the development of Peircean semiotics.

Theory and Analysis of Classic Heavy Metal Harmony

This thesis explores melodic and harmonic features of heavy metal, and while doing so, explores various methods of music analysis; their applicability and limitations regarding the study of heavy metal music. The study is built on three general hypotheses according to which 1) acoustic characteristics play a significant role for chord constructing in heavy metal, 2) heavy metal has strong ties and similarities with other Western musical styles, and 3) theories and analytical methods of Western art music may be applied to heavy metal. It seems evident that in heavy metal some chord structures appear far more frequently than others. It is suggested here that the fundamental reason for this is the use of guitar distortion effect. Subsequently, theories as to how and under what principles heavy metal is constructed need to be put under discussion; analytical models regarding the classification of consonance and dissonance and chord categorization are here revised to meet the common practices of this music. It is evident that heavy metal is not an isolated style of music; it is seen here as a cultural fusion of various musical styles. Moreover, it is suggested that the theoretical background to the construction of Western music and its analysis can offer invaluable insights to heavy metal. However, the analytical methods need to be reformed to some extent to meet the characteristics of the music. This reformation includes an accommodation of linear and functional theories that has been found rather rarely in music theory and musicology.

Yhden äänen muotokuvia : Queer-luentoja Marguerite Yourcenarin teoksista

The present dissertation belongs to the tradition of queer theoretical and feminist literary scholarship. The study deals with the literary works of Marguerite Yourcenar (1903-1987), who was the first woman ever to be elected to the French Academy. The study seeks to lead an acclaimed classical French author into a dialogue with the characteristically Anglo-American queer theory and American tradition of queering Lacanian psychoanalysis. Queering the psychoanalytic notions of homosexuality and the categories of perversion and pervert will be elaborated in the present study. The main corpus of the scrutiny consists of five pieces of fiction written in French by Yourcenar. The first person narration and especially récit genre maintain a narrative strategy that the study explores with reference to the representations of non-normative genders and sexualities. Analyzing various radically queer aspects of Yourcenar's texts, the study focuses on the topical questions of masculinity in men, women, and texts. The study also discusses the representations of sexual desire between men, and the various constructions of male homosexuality in Yourcenar's fiction. The present study addresses Yourcenar's fiction from the points of view of female masculinity and textual female masculinity. The investigation finds its study questions and methodology in the area of queer studies, especially queer theoretical literary scholarship and the queer history and historiography of sexuality. That is why the study approaches Yourcenar's fiction in the context of historical and literary representations of male homosexual love and desire. The articulation of the closet, or textual and discursive strategies of sexual secrecy especially concerning male homosexuality, is simultaneously constructed and deconstructed in Yourcenar's fiction, as the analysis indicates. The study analyzes the Yourcenarian queer textual strategies with reference to concepts such as the epistemology and rhetoric of the closet, and the structure of the open secret as a part of the rhetoric of queer or non-straight sexuality. The present investigation puts the queer, non-normative representations of gender and sexuality in the centre of the Yourcenarian oeuvre and studies, ascertaining the strong bond between Yourcenar's work and the history, tradition, and the modern strategies of representing male homosexuality and queerness.

Minästä toiseen : Lacanilaisen subjektin syntymä Anaïs Ninin House of Incestissä ja Hélène Cixous'n Dedans'issa

The study approaches two modern novels using the conceptual frame of Lacanian psychoanalysis, especially the Lacanian notion of subject. The novels can be described as subversive “Bildungsromans” (development novels) highly influenced by psychoanalytic thought. Anaïs Nin’s (1903—1977) “poetic novel” House of Incest (1936) is a story of sexual and artistic awakening while Hélène Cixous’s (b. 1937) first novel Dedans (1969) depicts the growth of a little girl whose father dies. Both are first novels and first person narratives. Concentrating in the narrator’s internal life the novels writings break with the realistic conventions of narrative, bringing forth the themes of anguish, alienation from the world and escape into the prison like realm of the self. The study follows roughly the Lacanian process of becoming a subject. Each chapter opens up with a quick introduction to the Lacanian concepts used in the following part that analyses the novels. The study can thus also be used as a brief introduction to Lacanian theory in finnish. The psychoanalytic narrative/story of the birth of the subject and the novels stories can be seen as mirroring each other. The method of the study is thus based on a dialogue between the theoretical concepts and the analyses. Novels are being approached as texts that break with the Cartesian notion of an autonomous subject making room for a dialectics of self and other, for a movement in which the “I” builds an identity mirroring itself with others. While both of the novels recount the birth of a character called I, they also have a first person narrator apart from the character “I”. Having constituted the self’s identity, the narrator finds from inside of the self also an other or “you” – this discovery is the final clue to the coffin of the autonomous self. From the Lacanian perspective man’s great Other is the order of language, Symbolic, which constitutes the individual, the speaking subject. Using this perspective the novels are interpreted as describing the process of becoming a subject of the Symbolic; subjected to Symbolic order. This “birth process” happens in particular in the Imaginary register, where the self’s identity is built. In the Imaginary or Mirror phase the “I” mirrors himself with different others (e.g. with his mirror image and the family members, the surrounding others) learning to see his body and his selfhood both as familiar and strange, other. In the Imaginary phase the novels’ characters are also trying to deal with the opposite realm of the Symcolic, the Real. The Lacanian Real is not the reality “before words” but a reality left over from the Symbolic, aside of it but constituted by the Symbolic, to be deducted only from within it. In the novels the Real is experienced as a womblike state where the self is immersed in the other’s body. The process of coming a subject of the Symbolic is depicted also as a process of renouncing the “dream of the womb”, which, if realized, could only mean the non-existence of the subject, i.e. death. The study concentrates on analysing the novels’ writing, where meanings are constantly changing: “I” becomes you, the father becomes a mother, inside becomes outside. This technique enables also the deconstruction of certain opposing notions in the novels. The Lacanian point of view exposes language as a constantly moving universe where the subject has no more stability than the momentary meanings language creates. The self’s identity depicted in the novels is a Lacanian fixed identity, whose growth is necessary but opposes the flux imminent to the Symbolic. The anguish experienced in the novels, in the “house of incest” or “inside”, is due to clinging on the unchanging “I”. However, the writing of the novels shows how the meaning of the “I” changes constantly and the fixity thus becomes movement. This way House of Incest and Dedans, despite their pessimistic stories, manage to create an image of a new, moving subject.

Evaluation of driving ability of the disabled persons in the context of the psychological activity theory

In the future the number of the disabled drivers requiring a special evaluation of their driving ability will increase due to the ageing population, as well as the progress of adaptive technology. This places pressure on the development of the driving evaluation system. Despite quite intensive research there is still no consensus concerning what is the factual situation in a driver evaluation (methodology), which measures should be included in an evaluation (methods), and how an evaluation has to be carried out (practise). In order to find answers to these questions we carried out empirical studies, and simultaneously elaborated upon a conceptual model for driving and a driving evaluation. The findings of empirical studies can be condensed into the following points: 1) A driving ability defined by the on-road driving test is associated with different laboratory measures depending on the study groups. Faults in the laboratory tests predicted faults in the on-road driving test in the novice group, whereas slowness in the laboratory predicted driving faults in the experienced drivers group. 2) The Parkinson study clearly showed that even an experienced clinician cannot reliably accomplish an evaluation of a disabled person’s driving ability without collaboration with other specialists. 3) The main finding of the stroke study was that the use of a multidisciplinary team as a source of information harmonises the specialists’ evaluations. 4) The patient studies demonstrated that the disabled persons themselves, as well as their spouses, are as a rule not reliable evaluators. 5) From the safety point of view, perceptible operations with the control devices are not crucial, but correct mental actions which the driver carries out with the help of the control devices are of greatest importance. 6) Personality factors including higher-order needs and motives, attitudes and a degree of self-awareness, particularly a sense of illness, are decisive when evaluating a disabled person’s driving ability. Personality is also the main source of resources concerning compensations for lower-order physical deficiencies and restrictions. From work with the conceptual model we drew the following methodological conclusions: First, the driver has to be considered as a holistic subject of the activity, as a multilevel hierarchically organised system of an organism, a temperament, an individuality, and a personality where the personality is the leading subsystem from the standpoint of safety. Second, driving as a human form of a sociopractical activity, is also a hierarchically organised dynamic system. Third, in an evaluation of driving ability it is a question of matching these two hierarchically organised structures: a subject of an activity and a proper activity. Fourth, an evaluation has to be person centred but not disease-, function- or method centred. On the basis of our study a multidisciplinary team (practitioner, driving school teacher, psychologist, occupational therapist) is recommended for use in demanding driver evaluations. Primary in a driver’s evaluations is a coherent conceptual model while concrete methods of evaluations may vary. However, the on-road test must always be performed if possible.

Widening Perspectives of Teacher Education : Studies on theory-practice relationship, reflection, research and professional development

This dissertation examined the research-based teacher education at the University of Helsinki from different theoretical and practical perspectives. Five studies focused on these perspectives separately as well as overlappingly. Study I focused on the reflection process of graduating teacher students. The data consisted of essays the students wrote as their last assignment before graduating, where their assignment was to examine their development as researchers during their MA thesis research process. The results indicated that the teacher students had analysed their own development thoroughly during the process and that they had reflected on theoretical as well as practical educational matters. The results also pointed out that, in the students’ opinion, personally conducted research is a significant learning process. -- Study II investigated teacher students’ workplace learning and the integration of theory and practice in teacher education. The students’ interviews focused on their learning of teacher’s work prior to education. The interviewees’ responses concerning their ‘surviving’ in teaching prior to teacher education were categorized into three categories: learning through experiences, school as a teacher learning environment, and case-specific learning. The survey part of the study focused on integration of theory and practice within the education process. The results showed that the students who worked while they studied took advantage of the studies and applied them to work. They set more demanding teaching goals and reflected on their work more theoretically. -- Study III examined practical aspects of the teacher students’ MA thesis research as well as the integration of theory and practice in teacher education. The participants were surveyed using a web-based survey which dealt with the participants’ teacher education experiences. According to the results, most of the students had chosen a practical topic for their MA thesis, one arising from their work environment, and most had chosen a research topic that would develop their own teaching. The results showed that the integration of theory and practice had taken place in much of the course work, but most obviously in the practicum periods, and also in the courses concerning the school subjects. The majority felt that the education had in some way been successful with regards to integration. -- Study IV explored the idea of considering teacher students’ MA thesis research as professional development. Twenty-three teachers were interviewed on the subject of their experiences of conducting research about their own work as teachers. The results of the interviews showed that the reasons for choosing the MA thesis research topic were multiple: practical, theoretical, personal, professional reasons, as well as outside effect. The objectives of the MA thesis research, besides graduating, were actual projects, developing the ability to work as teachers, conducting significant research, and sharing knowledge of the topic. The results indicated that an MA thesis can function as a tool for professional development, for example in finding ways for adjusting teaching, increasing interaction skills, gaining knowledge or improving reflection on theory and/or practice, strengthening self-confidence as a teacher, increasing researching skills or academic writing skills, as well as becoming critical and being able to read scientific and academic literature. -- Study V analysed teachers’ views of the impact of practitioner research. According to the results, the interviewees considered the benefits of practitioner research to be many, affecting teachers, pupils, parents, the working community, and the wider society. Most of the teachers indicated that they intended to continue to conduct research in the future. The results also showed that teachers often reflected personally and collectively, and viewed this as important. -- These five studies point out that MA thesis research is and can be a useful tool for increasing reflection doing with personal and professional development, as well as integrating theory and practice. The studies suggest that more advantage could be taken of the MA thesis research project. More integration of working and studying could and should be made possible for teacher students. This could be done in various ways within teacher education, but the MA thesis should be seen as a pedagogical possibility.

From a "Student" to a Lifelong "Consumer" : Constructions of Educability in Adult Students' Narrative Life Histories

The focus of this study was to examine the constructions of the educable subject of the lifelong learning (LLL) narrative in the narrative life histories of adult students at general upper secondary school for adults (GUSSA). In this study lifelong learning has been defined as a cultural narrative on education, “a system of political thinking” that is not internally consistent, but has contradictory themes embedded within it (Billig et al., 1988). As earlier research has shown and this study also confirms, the LLL narrative creates differences between those who are included and those who fall behind and are excluded from the learning society ideal. Educability expresses socially constructed interpretations on who benefit from education and who should be educated and how. The presupposition in this study has been that contradictions between the LLL narrative and the so-called traditional constructions of educability are likely to be constructed as the former relies on the all-inclusive interpretation of educability and the latter on the meritocratic model of educating individuals based on their innate abilities. The school system continues to uphold the institutionalized ethos of educability that ranks students into the categories “bright”, “mediocre”, and “poor” (Räty & Snellman, 1998) on the basis of their abilities, including gender-related differences as well as differences based on social class. Traditional age-related norms also persist, for example general upper secondary education is normatively completed in youth and not in adulthood, and the formal learning context continues to outweigh both non-formal and informal learning. Moreover, in this study the construction of social differences in relation to educability and, thereafter unequal access to education has been examined in relation to age, social class, and gender. The biographical work of the research participants forms a peephole that permits the examination of the dilemmatic nature of the constructions of educability in this study. Formal general upper secondary education in adulthood is situated on the border between the traditional and the LLL narratives on educability: participation in GUSSA inevitably means that one’s ability and competence as a student and learner becomes reassessed through the assessment criteria maintained by schools, whereas according to the principles of LLL everyone is educable; everyone is encouraged to learn throughout their lives regardless of age, social class, or gender. This study is situated in the field of adult education, sociology of education, and social psychological research on educability, having also been informed by feminist studies. Moreover, this study contributes to narrative life history research combining the structural analysis of narratives (Labov & Waletzky, 1997), i.e. mini-stories within life history, with the analysis of the life histories as structural and thematic wholes and the creation of coherence in them; thus, permitting both micro and macro analyses. On accounting for the discontinuity created by participation in general upper secondary school study in adulthood and not normatively in youth, the GUSSA students construct coherence in relation to their ability and competence as students and learners. The seven case studies illuminate the social differences constructed in relation to educability, i.e. social class, gender, age, and the “new category of student and learner”. In the data of this study, i.e. 20 general upper secondary school adult graduates’ narrative life histories primarily generated through interviews, two main coherence patterns of the adult educable subject emerge. The first performance-oriented pattern displays qualities that are closely related to the principles of LLL. Contrary to the principles of lifewide learning, however, the documentation of one’s competence through formal qualifications outweighs non-formal and informal learning in preparation for future change and the competition for further education, professional careers, and higher social positions. The second flexible learning pattern calls into question the status of formal, especially theoretical and academically oriented education; inner development is seen as more important than such external signs of development — grades and certificates. Studying and learning is constructed as a hobby and as a means to a more satisfactory life as opposed to a socially and culturally valued serious occupation leading to further education and career development. Consequently, as a curious, active, and independent learner, this educable but not readily employable subject is pushed into the periphery of lifelong learning. These two coherence patterns of the adult educable subject illuminate who is to be educated and how. The educable and readily employable LLL subject is to participate in formal education in order to achieve qualifications for working life, whereas the educable but not employable subject may utilize lifewide learning for her/his own pleasure. Key words: adult education, general upper secondary school for adults, educability, lifelong learning, narrative life history

Erityistä tukea tarvitsevan taaperon päiväkotiryhmään sopeutuminen : Monitapaustutkimus vuorovaikutussuhteista ja niiden rakentumisesta

How toddlers with special needs adjust to the daycare setting A multiple case study of how the relationships with adults and children are built The aim in this study is to describe how toddlers with special needs adjust to daycare. The emotional well-being and involvement in daycare activities of toddlers are especially investigated in this study. The relationship and how it is built between an adult and a child, a child and a child is examined. The daycare is examined through the socio-cultural theory as a pedagogical institution, where the child adapts by participating in social and cultural activities with the others. The development of the child is the result of the experiences that are gained through the constant relationship between the child, the family and social context. By the attachment theory the inner self-regulation, that allows the child safely adapt to new situations, develops most in the relationship between the child under 3years of age and the attending adult. The relationships between toddlers in daycare are usually built by the coincidental encounters in play and daily activities. In these relationships, the toddler gets the information of themselves and the other children. The complexity of the rules in the setting that organize the social action is challenging for the children and they need constant support from the adults. The participants of the study were five toddlers with special needs. When applying to daycare they were less than three years old and they got the specialist statement for their special needs, and the reference for daycare. The children were observed by recording their attending in the daycare once in the 3-4 months from the first day in daycare. Approximately 15 hours of material that was analysed with the Transana-program. The qualitative material was analysed by first collecting a descriptive model that explains and theorises the phenomenon. By the summery of the narrative it is placed a hypothesis that is tested by quantitative methods using correlations and variance analyses and general linear modeling that is used to count the differences between repeated measures and connections between different variables. The results of the study are built theoretically for the consistent conception between the theory and the findings in research. The toddlers in the study were all dependent on the support given by the adults in all the situations in the daycare. They could not associate with the other children without the support of the adults and their involvement in activities was low. The engagement of an adult in interaction was necessary for the children’s involvement in activities, and the co-operation with the other children. The engagement of teachers was statistically significantly higher than the engagement of other professions.

"Monesti on tullut ajateltua, että ihana, kamala kakara!" : Huomioidaanko päiväkodissa kansainvälisesti adoptoituun lapseen ja adoptioon liittyviä erityispiirteitä?

The purpose of this study was to examine the conceptions adoptive parents and kindergarten teachers have of adopted children in day care. Earlier Finnish research concerning international adoption has discussed adoption, adopted children and adoptive parents from the point of view of identity, racism and school. There has hardly been any research in Finland concerning adoption from the point of view of day care. The study focuses on how the special characteristics of adopted children are taken into consideration in day care. The ecological theory, in which a child's growth and learning environments are studied as part of the broader environment, provided the theoretical framework for the study. The study was based also on a second theory: intercultural competence or the capacity to interact with different people taking into consideration their individual characteristics and situations so that one understands and is understood. The first research problem consisted of describing the conceptions adoptive parents and day care teachers have of the special characteristics of adopted children. The second research problem was to examine adopted parents' expectations of kindergarten and of kindergarten teachers. The third research problem was to find out what kind of support day care teachers think they need when working with adopted children. The study focused on 20 adoptive parents and 15 kindergarten teachers. Research material was collected in the form of essay writings amounting to a total of 73 pages. The respondents wrote about their experiences with the help of a supporting questionnaire. The research method was qualitative and narrative. The results of the study show that adoptive parents have similar conceptions of adopted children's special characteristics concerning their character, social competence, adaptation and appearance. Adoptive parents had a better understanding of the dynamics of attachment than kindergarten teachers, in this study. When describing the special characters of adopted children, the teachers regarded adopted children in particular as needing special support. According to the results of the study, adoptive parents feel adoption matters and adoptive parenthood are something quite new and bewildering to day care teachers. Adoptive parents did not feel they got any support from the kindergarten in their parenthood. Adoptive parents regarded as particularly important the start of day care and the familiarisation process during which adopted children need time and special support due to earlier experiences of separation and abandonment. The findings of the study show that kindergarten teachers have little knowledge of adoption and the significance of adoption for a child's growth and development. Kindergarten teachers felt at a loss in dealing with adoption issues and clearly need additional support in the matter.

Microclimate and gas emissions in dairy buildings : Instrumentation, theory and measurements

The aim of this thesis was to develop measurement techniques and systems for measuring air quality and to provide information about air quality conditions and the amount of gaseous emissions from semi-insulated and uninsulated dairy buildings in Finland and Estonia. Specialization and intensification in livestock farming, such as in dairy production, is usually accompanied by an increase in concentrated environmental emissions. In addition to high moisture, the presence of dust and corrosive gases, and widely varying gas concentrations in dairy buildings, Finland and Estonia experience winter temperatures reaching below -40 ºC and summer temperatures above +30 ºC. The adaptation of new technologies for long-term air quality monitoring and measurement remains relatively uncommon in dairy buildings because the construction and maintenance of accurate monitoring systems for long-term use are too expensive for the average dairy farmer to afford. Though the documentation of accurate air quality measurement systems intended mainly for research purposes have been made in the past, standardised methods and the documentation of affordable systems and simple methods for performing air quality and emissions measurements in dairy buildings are unavailable. In this study, we built three measurement systems: 1) a Stationary system with integrated affordable sensors for on-site measurements, 2) a Wireless system with affordable sensors for off-site measurements, and 3) a Mobile system consisting of expensive and accurate sensors for measuring air quality. In addition to assessing existing methods, we developed simplified methods for measuring ventilation and emission rates in dairy buildings. The three measurement systems were successfully used to measure air quality in uninsulated, semi-insulated, and fully-insulated dairy buildings between the years 2005 and 2007. When carefully calibrated, the affordable sensors in the systems gave reasonably accurate readings. The spatial air quality survey showed high variation in microclimate conditions in the dairy buildings measured. The average indoor air concentration for carbon dioxide was 950 ppm, for ammonia 5 ppm, for methane 48 ppm, for relative humidity 70%, and for inside air velocity 0.2 m/s. The average winter and summer indoor temperatures during the measurement period were -7º C and +24 ºC for the uninsulated, +3 ºC and +20 ºC for the semi-insulated and +10 ºC and +25 ºC for the fully-insulated dairy buildings. The measurement results showed that the uninsulated dairy buildings had lower indoor gas concentrations and emissions compared to fully insulated buildings. Although occasionally exceeded, the ventilation rates and average indoor air quality in the dairy buildings were largely within recommended limits. We assessed the traditional heat balance, moisture balance, carbon dioxide balance and direct airflow methods for estimating ventilation rates. The direct velocity measurement for the estimation of ventilation rate proved to be impractical for naturally ventilated buildings. Two methods were developed for estimating ventilation rates. The first method is applicable in buildings in which the ventilation can be stopped or completely closed. The second method is useful in naturally ventilated buildings with large openings and high ventilation rates where spatial gas concentrations are heterogeneously distributed. The two traditional methods (carbon dioxide and methane balances), and two newly developed methods (theoretical modelling using Fick s law and boundary layer theory, and the recirculation flux-chamber technique) were used to estimate ammonia emissions from the dairy buildings. Using the traditional carbon dioxide balance method, ammonia emissions per cow from the dairy buildings ranged from 7 g day-1 to 35 g day-1, and methane emissions per cow ranged from 96 g day-1 to 348 g day-1. The developed methods proved to be as equally accurate as the traditional methods. Variation between the mean emissions estimated with the traditional and the developed methods was less than 20%. The developed modelling procedure provided sound framework for examining the impact of production systems on ammonia emissions in dairy buildings.

Noncommutative Gravitation as a Gauge Theory of Twisted Poincaré Symmetry

Gravitaation kvanttiteorian muotoilu on ollut teoreettisten fyysikkojen tavoitteena kvanttimekaniikan synnystä lähtien. Kvanttimekaniikan soveltaminen korkean energian ilmiöihin yleisen suhteellisuusteorian viitekehyksessä johtaa aika-avaruuden koordinaattien operatiiviseen ei-kommutoivuuteen. Ei-kommutoivia aika-avaruuden geometrioita tavataan myös avointen säikeiden säieteorioiden tietyillä matalan energian rajoilla. Ei-kommutoivan aika-avaruuden gravitaatioteoria voisi olla yhteensopiva kvanttimekaniikan kanssa ja se voisi mahdollistaa erittäin lyhyiden etäisyyksien ja korkeiden energioiden prosessien ei-lokaaliksi uskotun fysiikan kuvauksen, sekä tuottaa yleisen suhteellisuusteorian kanssa yhtenevän teorian pitkillä etäisyyksillä. Tässä työssä tarkastelen gravitaatiota Poincarén symmetrian mittakenttäteoriana ja pyrin yleistämään tämän näkemyksen ei-kommutoiviin aika-avaruuksiin. Ensin esittelen Poincarén symmetrian keskeisen roolin relativistisessa fysiikassa ja sen kuinka klassinen gravitaatioteoria johdetaan Poincarén symmetrian mittakenttäteoriana kommutoivassa aika-avaruudessa. Jatkan esittelemällä ei-kommutoivan aika-avaruuden ja kvanttikenttäteorian muotoilun ei-kommutoivassa aika-avaruudessa. Mittasymmetrioiden lokaalin luonteen vuoksi tarkastelen huolellisesti mittakenttäteorioiden muotoilua ei-kommutoivassa aika-avaruudessa. Erityistä huomiota kiinnitetään näiden teorioiden vääristyneeseen Poincarén symmetriaan, joka on ei-kommutoivan aika-avaruuden omaama uudentyyppinen kvanttisymmetria. Seuraavaksi tarkastelen ei-kommutoivan gravitaatioteorian muotoilun ongelmia ja niihin kirjallisuudessa esitettyjä ratkaisuehdotuksia. Selitän kuinka kaikissa tähänastisissa lähestymistavoissa epäonnistutaan muotoilla kovarianssi yleisten koordinaattimunnosten suhteen, joka on yleisen suhteellisuusteorian kulmakivi. Lopuksi tutkin mahdollisuutta yleistää vääristynyt Poincarén symmetria lokaaliksi mittasymmetriaksi --- gravitaation ei-kommutoivan mittakenttäteorian saavuttamisen toivossa. Osoitan, että tällaista yleistystä ei voida saavuttaa vääristämällä Poincarén symmetriaa kovariantilla twist-elementillä. Näin ollen ei-kommutoivan gravitaation ja vääristyneen Poincarén symmetrian tutkimuksessa tulee jatkossa keskittyä muihin lähestymistapoihin.

The Spin-Statistics Relation and Noncommutative Quantum Field Theory

The efforts of combining quantum theory with general relativity have been great and marked by several successes. One field where progress has lately been made is the study of noncommutative quantum field theories that arise as a low energy limit in certain string theories. The idea of noncommutativity comes naturally when combining these two extremes and has profound implications on results widely accepted in traditional, commutative, theories. In this work I review the status of one of the most important connections in physics, the spin-statistics relation. The relation is deeply ingrained in our reality in that it gives us the structure for the periodic table and is of crucial importance for the stability of all matter. The dramatic effects of noncommutativity of space-time coordinates, mainly the loss of Lorentz invariance, call the spin-statistics relation into question. The spin-statistics theorem is first presented in its traditional setting, giving a clarifying proof starting from minimal requirements. Next the notion of noncommutativity is introduced and its implications studied. The discussion is essentially based on twisted Poincaré symmetry, the space-time symmetry of noncommutative quantum field theory. The controversial issue of microcausality in noncommutative quantum field theory is settled by showing for the first time that the light wedge microcausality condition is compatible with the twisted Poincaré symmetry. The spin-statistics relation is considered both from the point of view of braided statistics, and in the traditional Lagrangian formulation of Pauli, with the conclusion that Pauli's age-old theorem stands even this test so dramatic for the whole structure of space-time.