Embed Size (px)
Citation preview
Title
3D printing techniques for nano-scale and pico-scale physics experimental apparatus and algebraic topologies extension models By Kaunda Nguni
Abstract
We describe work on the nano-scale and pico-scale range physics of 3D printing and its adaption to building experimental apparatus. We then describe some of those experimental apparatus and approaches for quantum computing, biophysics, telescope, and spacecraft surface structure experimentation. We also discuss both 3D printing and multi-dimensional printing and their implications for research in the foundations of quantum mechanics. Lastly, we derive algebraic topologic extensions that lead to a multi-dimensional printing theory for the nano and pico scale ranges.
Table of Contents
1. Introduction .................................................................................................................................. 7
2. 3D printing techniques for nano-scale experimental apparatus ................................................ 7
2.1 Research nano-scale physics .................................................................................................... 7
2.1.1 Research current problems in nano-scale physics ............................................................... 7
2.1.2 Research the solution approaches used in nano-scale physics ........................................... 7
2.1.3 Research the computational methods used in nano-scale physics..................................... 7
2.1.4 Research the experimental methods used in nano-scale physics ....................................... 7
2.2 Research 3D printing physics ................................................................................................... 7
2.3 Research 3D printing technology ............................................................................................. 7
2.4 Research the physics applications of 3D printing ................................................................... 8
Techniques ............................................................................................................................................ 8
2.4.1 Research applications to foundations of quantum mechanics ........................................... 8
2.4.1.1 Research the interpretation of quantum mechanics .......................................................... 8
2.4.1.2 Research the mathematical structure of quantum mechanics ........................................... 8
2.4.1.3 Research the extensions of quantum mechanics ................................................................ 8
2.4.1.3.1 Quantum gravity .............................................................................................................. 8
2.4.1.3.2 String theory ..................................................................................................................... 8
2.4.1.3.3 Loop quantum gravity ...................................................................................................... 8
2.4.2 Research applications to quantum computing ................................................................... 8
2.4.2.1 Research classical computer architecture ........................................................................... 8
2.4.2.2 Research computer hardware fabrication machines .......................................................... 9
2.4.2.3 Research system software such as firmware, operating systems, compilers, and
networking software tools ................................................................................................................... 9
2.4.2.4 Research quantum computing algorithms .......................................................................... 9
2.4.2.5 Research quantum computing hardware ............................................................................ 9
2.4.3 Research applications to biophysics apparatus .................................................................. 9
2.4.3.1 Research genome analysis machines................................................................................... 9
2.4.3.2 Research proteome analysis and synthesis machines ........................................................ 9
2.4.3.3 Research cellular analysis and synthesis machines ............................................................ 9
2.4.3.4 Research physiological analysis and synthesis machines ................................................... 9
2.4.4 Research applications to space sciences.............................................................................. 9
2.4.4.1 Research nova candidate star detection ............................................................................. 9
2.4.4.2 Research exoplanet detection ........................................................................................... 10
2.4.4.3 Research exoplanet atmosphere characterization ........................................................... 10
2.4.4.4 Research exoplanet bio-signature characterization ......................................................... 10
2.4.5 Research applications to space craft structural design .................................................... 10
2.4.5.1 Research condensed matter physics requirements for space craft structure in high
temperature and pressure environments ......................................................................................... 10
2.4.5.2 Research condensed matter physics requirements for space craft structure in strong
magnetic fields ................................................................................................................................... 10
3.0 Potential for 3D printing techniques for pico-scale experimental apparatus ...................... 10
3.1 Research pico-scale physics ................................................................................................... 10
3.2 Research pico-scale 3D printing physics models ................................................................... 10
3.3 Research physics applications of pico-scale 3D printing techniques.................................... 10
3.3.1 Research applications to foundations of quantum mechanics ......................................... 10
3.3.1.1 Research the mathematical structure of quantum mechanics ......................................... 10
3.3.1.2 Research the extensions of quantum mechanics .............................................................. 11
3.3.1.2.1 Quantum gravity ............................................................................................................ 11
3.3.1.2.2 String theory ................................................................................................................... 11
3.3.1.2.3 Loop quantum gravity .................................................................................................... 11
3.3.2 Research applications to quantum computing ................................................................. 11
3.3.2.1 Research classical computer architecture ......................................................................... 11
3.3.2.2 Research computer hardware fabrication machines ........................................................ 11
3.3.2.3 Research system software such as firmware, operating systems, compilers, and
networking software tools ................................................................................................................. 11
3.3.2.4 Research quantum computing algorithms ........................................................................ 11
3.3.2.5 Research quantum computing hardware .......................................................................... 11
3.3.3 Research applications to biophysics apparatus ................................................................ 12
3.3.3.1 Research genome analysis machines................................................................................. 12
3.3.3.2 Research proteome analysis and synthesis machines ...................................................... 12
3.3.3.3 Research cellular analysis and synthesis machines .......................................................... 12
3.3.3.4 Research physiological analysis and synthesis machines ................................................. 12
3.3.4 Research applications to space sciences............................................................................ 12
3.3.4.1 Research nova candidate star detection ........................................................................... 12
3.3.4.2 Research exoplanet detection ........................................................................................... 12
3.3.4.3 Research exoplanet atmosphere characterization ........................................................... 12
3.3.4.4 Research exoplanet bio-signature characterization ......................................................... 12
3.3.5 Research applications to space craft structural design .................................................... 12
3.3.5.1 Research condensed matter physics requirements for space craft structure in high
temperature and pressure environments ......................................................................................... 12
3.3.5.2 Research condensed matter physics requirements for space craft structure in strong
magnetic fields ................................................................................................................................... 13
4.0 Algebraic topological extensions ........................................................................................... 13
4.1 Simple finite group models of projective geometries ........................................................... 13
4.2 Algebraic topologies of sporadic groups ............................................................................... 13
4.3 Systems of nonlinear partial differential equations over sporadic groups .......................... 13
4.4 Sporadic group models of 3D nano-scale printers ................................................................ 13
4.5 Sporadic group models of 3D pico-scale printers .................................................................. 13
5.0 Expected results of the research............................................................................................ 13
5.1 Proposal of new nano-scale 3D printing theoretical models ................................................ 13
5.2 Proposal of new nano-scale 3D printing experimental techniques...................................... 13
5.3 Proposal of pico-scale 3D printing theoretical models ......................................................... 13
5.4 Proposal of pico-scale 3D printing experimental techniques ............................................... 14
6.0 Tenative research phases ....................................................................................................... 14
6.1 Reference gathering phase .................................................................................................... 14
6.2 Studying phase ....................................................................................................................... 14
6.3 Consulting phase .................................................................................................................... 14
6.4 Hypothesis formulation phase ............................................................................................... 14
6.5 Hypothesis testing phase ....................................................................................................... 14
6.6 Model formulation phase ...................................................................................................... 14
6.7 Masters degree research write up and editing ..................................................................... 15
6.8 Masters degree submission ................................................................................................... 15
7.0 Conclusion .............................................................................................................................. 15
8.0 References .............................................................................................................................. 15
1. Introduction The task involves introducing the goal, approach, result context of the thesis in terms of the content of the project.
2. 3D printing techniques for nano-scale experimental apparatus
2.1 Research nano-scale physics 2.1.1 Research current problems in nano-scale physics The task involves synthesizing the current state of the art problems in the broad field of nanophysics. 2.1.2 Research the solution approaches used in nano-scale physics
The task involves analyzing the current state of the art solutions in both theoretical and experimental nanophysics.
2.1.3 Research the computational methods used in nano-scale physics The task involves the comparison of numerical methods used in solution to theoretical problems in nanophysics.
2.1.4 Research the experimental methods used in nano-scale physics The task involves analyzing and synthesizing current state of the art experimental methods in nanophysics.
2.2 Research 3D printing physics The task involves analyzing past, present, and future approaches to 3D printing physics.
2.3 Research 3D printing technology The task involves analyzing past, present, and future approaches to 3D printing technology.
2.4 Research the physics applications of 3D printing Techniques
The task involves analyzing past, present, and future approaches to 3D printing physics techniques. 2.4.1 Research applications to foundations of quantum mechanics 2.4.1.1 Research the interpretation of quantum mechanics
The task involves understanding those aspects of the interpretation of quantum mechanics that relate to nano-scale and pico-scale 3D printing physics.
2.4.1.2 Research the mathematical structure of quantum mechanics The task involves analyzing the mathematical approaches to the foundations of quantum mechanics in a way that introduces mathematical abstraction in the investigation of the theory of 3D printing physics.
2.4.1.3 Research the extensions of quantum mechanics 2.4.1.3.1 Quantum gravity
The task is to derive relevant results of quantum gravity theories and investigate role of foundations of quantum mechanics in the structure of the theories.
2.4.1.3.2 String theory The task is to derive relevant results of string theories and investigate role of foundations of quantum mechanics in the structure of the theories.
2.4.1.3.3 Loop quantum gravity The task is to derive relevant results of loop quantum gravity theories and investigate role of foundations of quantum mechanics in the structure of the theories.
2.4.2 Research applications to quantum computing 2.4.2.1 Research classical computer architecture
The task is to develop a general model of classical computer system that can be implemented as software and hardware.
2.4.2.2 Research computer hardware fabrication machines The task is to develop a computer hardware fabrication system as a software simulation and use that to implement computer architectures.
2.4.2.3 Research system software such as firmware, operating systems, compilers, and networking software tools
The task is to understand and model basic firmware, operating system, compiler, and networking software tools.
2.4.2.4 Research quantum computing algorithms The task is to understand quantum computing algorithms and proposed computer architectures.
2.4.2.5 Research quantum computing hardware The task is to understand the current state of the art in quantum computing hardware implementations.
2.4.3 Research applications to biophysics apparatus 2.4.3.1 Research genome analysis machines
The task is to understand the current state of the art in genome analysis machines.
2.4.3.2 Research proteome analysis and synthesis machines The task is to understand the current state of the art in proteome analysis and synthesis machines.
2.4.3.3 Research cellular analysis and synthesis machines The task is to understand the cellular analysis and synthesis machines.
2.4.3.4 Research physiological analysis and synthesis machines The task is to understand animal physiological analysis and synthesis machines.
2.4.4 Research applications to space sciences 2.4.4.1 Research nova candidate star detection
The task is to understand star analysis and instrument design with a focus on nova candidate star detection models and instrument design.
2.4.4.2 Research exoplanet detection The task is to understand exoplanet detection methods and instrument design.
2.4.4.3 Research exoplanet atmosphere characterization The task is to understand exoplanet atmosphere characterization.
2.4.4.4 Research exoplanet bio-signature characterization The task is to understand exoplanet bio-signature characterization.
2.4.5 Research applications to space craft structural design 2.4.5.1 Research condensed matter physics requirements for space craft
structure in high temperature and pressure environments The task is to understand the scientific requirements for the materials of the structure of a space craft in high temperature and pressure environments.
2.4.5.2 Research condensed matter physics requirements for space craft structure in strong magnetic fields
The task is to understand the scientific requirements for the materials of the structure of a spacecraft in strong magnetic fields.
3.0 Potential for 3D printing techniques for pico-scale experimental apparatus
3.1 Research pico-scale physics The task involves synthesizing the current state of the art problems in the broad field of pico-scale physics.
3.2 Research pico-scale 3D printing physics models The task is synthesizing pico-scale 3D printing physics models.
3.3 Research physics applications of pico-scale 3D printing techniques 3.3.1 Research applications to foundations of quantum mechanics 3.3.1.1 Research the mathematical structure of quantum mechanics
The task involves analyzing the mathematical approaches to the foundations of quantum mechanics in a way that introduces mathematical abstraction in the investigation of the theory of 3D printing physics.
3.3.1.2 Research the extensions of quantum mechanics 3.3.1.2.1 Quantum gravity
The task is to derive relevant results of quantum gravity theories and investigate role of foundations of quantum mechanics in the structure of the theories.
3.3.1.2.2 String theory The task is to derive relevant results of string theories and investigate role of foundations of quantum mechanics in the structure of the theories.
3.3.1.2.3 Loop quantum gravity The task is to derive relevant results of loop quantum gravity theories and investigate role of foundations of quantum mechanics in the structure of the theories.
3.3.2 Research applications to quantum computing 3.3.2.1 Research classical computer architecture
The task is to develop a general model of classical computer system that can be implemented as software and hardware.
3.3.2.2 Research computer hardware fabrication machines The task is to develop a computer hardware fabrication system as a software simulation and use that to implement computer architectures.
3.3.2.3 Research system software such as firmware, operating systems, compilers, and networking software tools
The task is to understand and model basic firmware, operating system, compiler, and networking software tools.
3.3.2.4 Research quantum computing algorithms The task is to understand quantum computing algorithms and proposed computer architectures.
3.3.2.5 Research quantum computing hardware The task is to understand the current state of the art in quantum computing hardware implementations.
3.3.3 Research applications to biophysics apparatus 3.3.3.1 Research genome analysis machines
The task is to understand the current state of the art in genome analysis Machines.
3.3.3.2 Research proteome analysis and synthesis machines The task is to understand the current state of the art in proteome analysis and synthesis machines.
3.3.3.3 Research cellular analysis and synthesis machines The task is to understand the cellular analysis and synthesis machines.
3.3.3.4 Research physiological analysis and synthesis machines The task is to understand animal physiological analysis and synthesis Machines.
3.3.4 Research applications to space sciences 3.3.4.1 Research nova candidate star detection
The task is to understand star analysis and instrument design with a focus on nova candidate star detection models and instrument design.
3.3.4.2 Research exoplanet detection The task is to understand exoplanet detection methods and instrument design.
3.3.4.3 Research exoplanet atmosphere characterization The task is to understand exoplanet detection methods and instrument design.
3.3.4.4 Research exoplanet bio-signature characterization The task is to understand exoplanet bio-signature characterization.
3.3.5 Research applications to space craft structural design 3.3.5.1 Research condensed matter physics requirements for space craft
structure in high temperature and pressure environments The task is to understand the scientific requirements for the materials of the structure of a space craft in high temperature and pressure environments.
3.3.5.2 Research condensed matter physics requirements for space craft
structure in strong magnetic fields The task is to understand the scientific requirements for the materials of the structure of a space craft in strong magnetic fields.
4.0 Algebraic topological extensions 4.1 Simple finite group models of projective geometries
The task is to understand simple finite groups and projective geometry within the context of 3D printing physics and extensions to multi-dimensional printing.
4.2 Algebraic topologies of sporadic groups The task is to understand algebraic topologies of sporadic groups in terms of multi-dimensional printing across arbitrary distance scales.
4.3 Systems of nonlinear partial differential equations over sporadic groups
The task is to understand the role of partial differential equations in sporadic group based multi-dimensional printing across arbitrary distance scales.
4.4 Sporadic group models of 3D nano-scale printers The task is to create a sporadic group model of a 3D nano-scale printer.
4.5 Sporadic group models of 3D pico-scale printers The task is to create a sporadic group model of a 3D pico-scale printer.
5.0 Expected results of the research 5.1 Proposal of new nano-scale 3D printing theoretical models
The task is to propose new nano-scale 3D printing theoretical models by developing mathematical models and computer simulations.
5.2 Proposal of new nano-scale 3D printing experimental techniques The task is to propose new nano-scale 3D printing experimental techniques by developing physical prototypes and experiments.
5.3 Proposal of pico-scale 3D printing theoretical models
The task is to propose new nano-scale 3D printing theoretical models by developing mathematical models and computer simulations.
5.4 Proposal of pico-scale 3D printing experimental techniques The task is to propose new nano-scale 3D printing experimental techniques by developing physical prototypes and experiments based on them.
6.0 Tenative research phases 6.1 Reference gathering phase
The task is to search the literature for references that will be used to complete the 3D printing nano-scale 3D printing physics, pico-scale 3D printing, and algebraic topological extension parts of the project. This should take four weeks.
6.2 Studying phase The task is to study the both the relevant background material, current state of the art, and future trends in nano-scale 3D printing physics, pico-scale 3D printing, and algebraic topological extension parts of the project. This should take twenty four weeks.
6.3 Consulting phase The task is to consult with faculty, other academics, and industry professionals on the physics, mathematics, and technology of 3D printing. This should initially take twelve weeks and continue throughout the studying phase of the project.
6.4 Hypothesis formulation phase The task is to formulate working hypothesis for the project that will become the thesis statement for the master’s project. This should take eight weeks.
6.5 Hypothesis testing phase The task is to test the working hypothesis for the project using mathematical models, computer simulations, and physical prototyping. This will occur over a period of thirty-two weeks in the studying phase and hypothesis formulation phase.
6.6 Model formulation phase
The task is to create models for nano-scale and pico-scale 3D printing and preliminary multi-dimensional printing. This should take three weeks.
6.7 Masters degree research write up and editing The task is to use the generated project documents, thesis statement, and formulated models to write the master’s thesis document. This should take two weeks.
6.8 Masters degree submission The task is to prepare the master’s thesis document for submission, presentation, and defense. This should take one week.
7.0 Conclusion The task is to give a summary of the main scientific results of the master’s thesis document.
8.0 References The task is to compile a working list of references that will be used to check every claim in the scientific discussion of the master’s thesis document and give the reader a way to check statements that need more in depth discussions.
3D printing technologies books, papers, monographs
3D printing physics books, papers, monographs
Nano-scale 3D printing books, papers, and monographs
Pico-scale 3D printing books, papers, and monographs
Femto-to-yocto scale 3D printing books, papers, and monographs
Multi-dimensional printing books, papers, and monographs
Foundations of quantum mechanics books, papers, and monographs
Quantum field theory books, papers, and monographs
Particle physics books, papers, and monographs
Statistical mechanics books, papers, and monographs
Quantum gravity books, papers, and monographs
Finite simple groups books, papers, and monographs
Exoplanets books, papers, and monographs
Space instruments books, papers, and monographs
Space craft books, papers, and monographs
Lithographic techniques books, papers, and monographs
Electronics fabrication books, papers, and monographs
Computer hardware books, papers, and monographs
Operating systems books, papers, and monographs
Compilers books, papers, and monographs
Programming languages books, papers, and monographs
Embedded software books, papers, and monographs
Genetics books, papers, and monographs
Genome analysis books, papers, and monographs
Proteome analysis books, papers, and monographs
Cellular analysis books, papers, and monographs
Physiological analysis books, papers, and monographs
Computation complexity theory books, papers, and monographs
Quantum computing books, papers, and monographs
Natural computing books, papers, and monographs
