MATHEMATICAL FICTIONALIZING IN SPECULATIVE PHYSICS Speculative ontology, new physics, and narrating the life-code micro-events Clarissa AL Lee Program in Literature Duke University
MATHEMATICAL FICTIONALIZING IN SPECULATIVE PHYSICS
Speculative ontology, new physics, and narrating the life-code micro-events
Clarissa AL LeeProgram in LiteratureDuke University
SPECULATIVE PHYSICS Question of causality, initial and final points of knowledge movements;
Authenticity of knowledge; Truth and facticity in experiment and theory, validation of predictions;
Bounds of irreducible fields: formalistic versus instrumental constraints, selection of data and positionality;
Suspension of disbelief in relation to critical structures premised on limits of what is ideal;
Speculative ontological constructions in modelling, fictions of science (including thought experiments).
MOMENTS OF SPECULATIONSMATHEMATICS AND MATHEMATICAL PHYSICS
Geometrical homology and homotopy: Lie groups and the commutative, self-adjoint algebraic representations of vector states and spaces. Mapping of complex planes C* onto ‘real’ spaces;
The transformation of classical idealization to quantum anomalies (within spaces of determinacy/indeterminacy) through the finding equivalence between particles and fields through the use of the Lagrangian formalisms that translates the question of position, momenta, and energy between the classical and quantum spaces;
Choice between geometrical and algebraic embodiment of the quantum states and pointers. Relativistic representations of events in quantum mechanics required an integration of algebraic and geometrical into the form of algebraic geometry, or elgebraic topology.
Hilbert and Fock space in modelling the multiple characteristics of a free, oscillating electrons. What about bounded” particles.”
MOMENTS OF SPECULATIONTHEORETICAL-MATHEMATICAL PHYSICS
• The quantization process (first level and second level field quantization) in relation to the operating framework (relativistic versus non-relativistic). Quantization can be within a classical or quantum field model, and this influences the degrees of bounded-ness of the particles in the field. In the experimental sense, decisions of what to use depends on the energy level and ‘collision’ rates. Negative and positive fields stemming from sign changes in the quantization process. Quantum states and Fourier modes for wave functions. Wave model as having a more practicable interpretive usability in experimental analysis;
• Interpretive models for thinking about forms of measurement( especially precision measurements) and also statistical analysis. Incompatibilitiy of scales of forces;
• Perturbative versus non-perturbative forms.
FEYNMAN DIAGRAMS: THEORETICAL PURPOSE Diagrams as being pre-quantum theoretical representations of quantum theoretical problems but are not classical representations of scattering events as they represent connections between creation and annihilation events. These connections are understood as vacuum expectation values of field operators;
Acts as the mediator for the alternative formulations for classical fields that are not amenable to quantum theoretic measures;
Graphing out the transformation from an ideal problem of the ‘free’ single electron particle into multi-electron interactions with many other particles – an act of physically comprehending Dirac’s equations for relativistic electron;
Demonstrating the quantization process for the wave-function of a relativistic electron especially within 3-D.
FEYNMAN DIAGRAMS: EXPERIMENTAL MAPPING Intuitive way for demonstrating the renormalization process especially for the symmetrical conditions of the fermions and bosons;
A physical re-interpretation of the quantized, generalized „free electron“ within Hilbert/Fock space for thinking within the experimental space of inelastic scattering, while also representing their capacity to propagate ‚forward‘ and ‚backward‘ in time in terms of the vertices representing the process of creation and annihilation;
Representing the matrix element of the collision process especially in dealing with the multiple momenta of multiple of multiple collisions.
Equivalence in treating the Schrödinger wave function with that of the Dirac equations when dealing with the mixed states of particular decays .
ARTISTIC RE-REPRESENTATION OF DIAGRAM: WHAT IS ITS AESTHETICS?
http://www.edwardtufte.com/bboard/q-and-a-fetch-msg?msg_id=0003oo
SPECULATIVE ONTOLOGY OF THEORY
Aspects of theory-building that are speculative in nature and what
points of intersection do they share:
bootstrap approach, different epistemic
approaches to quantum theory.
How does the epistemic history of the theory help us construct the larger ontology that overlies it
and the potentiality for going beyond it: example of case is
that of the Standard Model (and the idea of Beyond the Standard Model) and Gauge Theory.
What is the objective versus the subjective
aspect of theory construction? Is the realism versus anti-realism standpoint
important for addressing the problematics of
theory construction, or for
differentiating facticity from truth (within the arbitrary and relativist stance
for defining ‘truth’)?