robin/Robin_PHD
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

getting the ideas down on paper

Browse Source
This commit is contained in:
Robin Clark 2015-04-12 13:07:50 +01:00
parent 6936562bc1
commit 138112e3bd
2 changed files with 201 additions and 3 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

191
papers/spaceship_time_dilation_correction/spaceship_time_dilation_correction.tex Normal file
View File

@ -0,0 +1,191 @@
%%% OUTLINE
%\documentclass[twocolumn]{article}
\documentclass{article}
%\documentclass[twocolumn,10pt]{report}
\usepackage{graphicx}
\usepackage{fancyhdr}
%\usepackage{wassysym}
\usepackage{tikz}
\usepackage{amsfonts,amsmath,amsthm}
\usetikzlibrary{shapes.gates.logic.US,trees,positioning,arrows}
%\input{../style}
\usepackage{ifthen}
\usepackage{lastpage}
\usetikzlibrary{shapes,snakes}
\newcommand{\tickYES}{\checkmark}
\newcommand{\fc}{fault~scenario}
\newcommand{\fcs}{fault~scenarios}
\date{}
%\renewcommand{\encodingdefault}{T1}
%\renewcommand{\rmdefault}{tnr}
%\newboolean{paper}
%\setboolean{paper}{true} % boolvar=true or false
\newcommand{\derivec}{{D}}
%\newcommand{\fti}{{ \ensuremath{4\mA \; \rightarrow \; 20mA} }}
\newcommand{\fti}{4mA~to~20mA}
\newcommand{\ftt}{FTTI}
\newcommand{\permil}{\ensuremath{{ }^0/_{00}}}
\newcommand{\oc}{\ensuremath{^{o}{C}}}
\newcommand{\adctw}{{${\mathcal{ADC}}_{12}$}}
\newcommand{\adcten}{{${\mathcal{ADC}}_{10}$}}
\newcommand{\ohms}[1]{\ensuremath{#1\Omega}}
\newcommand{\fm}{failure~mode}
\newcommand{\fms}{failure~modes}
\newcommand{\fg}{functional~grouping}
\newcommand{\FG}{\mathcal{G}}
\newcommand{\DC}{\mathcal{DC}}
\newcommand{\fgs}{functional~groupings}
\newcommand{\dc}{derived~component}
\newcommand{\dcs}{derived~components}
\newcommand{\bc}{base~component}
\newcommand{\FMMD}{ModularFMEA}
\newcommand{\bcs}{base~components}
\newcommand{\irl}{in real life}
\newcommand{\enc}{\ensuremath{\stackrel{enc}{\longrightarrow}}}
\newcommand{\pin}{\ensuremath{\stackrel{pi}{\longleftrightarrow}}}
%\newcommand{\pic}{\em pure~intersection~chain}
\newcommand{\pic}{\em pair-wise~intersection~chain}
\newcommand{\wrt}{\em with~respect~to}
\newcommand{\abslevel}{\ensuremath{\Psi}}
\newcommand{\fmmdgloss}{\glossary{name={FMMD},description={Failure Mode Modular De-Composition, a bottom-up methodology for incrementally building failure mode models, using a procedure taking functional groups of components and creating derived components representing them, and in turn using the derived components to create higher level functional groups, and so on, that are used to build a failure mode model of a system}}}
\newcommand{\fmodegloss}{\glossary{name={failure mode},description={The way in which a failure occurs. A component or sub-system may fail in a number of ways, and each of these is a
failure mode of the component or sub-system}}}
\newcommand{\fmeagloss}{\glossary{name={FMEA}, description={Failure Mode and Effects analysis (FMEA) is a process where each potential failure mode within a system, is analysed to determine system level failure modes, and to then classify them {\wrt} perceived severity}}}
\newcommand{\frategloss}{\glossary{name={failure rate}, description={The number of failure within a population (of size N), divided by N over a given time interval}}}
\newcommand{\pecgloss}{\glossary{name={PEC},description={A Programmable Electronic controller, will typically consist of sensors and actuators interfaced electronically, with some firmware/software component in overall control}}}
\newcommand{\bcfm}{base~component~failure~mode}
\newcommand{\cf}[1]{\textbf{#1()}}
\newcommand{\swhw}{software~hardware}
\newcommand{\sw}{software}
\newcommand{\hw}{hardware}
\newcommand{\uP}{micro~processor}
\def\layersep{1.8cm}
\newboolean{pld}
\setboolean{pld}{false} % boolvar=true or false : draw analysis using propositional logic diagrams
\newboolean{dag}
\setboolean{dag}{true} % boolvar=true or false : draw analysis using directed acylic graphs
% \setlength{\topmargin}{0in}
% \setlength{\headheight}{0in}
% \setlength{\headsep}{0in}
% \setlength{\textheight}{22cm}
% \setlength{\textwidth}{18cm}
% %\setlength{\textheight}{24.35cm}
% %\setlength{\textwidth}{20cm}
% \setlength{\oddsidemargin}{0in}
% \setlength{\evensidemargin}{0in}
% \setlength{\parindent}{0.0in}
% %\setlength{\parskip}{6pt}
% % \setlength{\parskip}{1cm plus4mm minus3mm}
% \setlength{\parskip}{0pt}
% \setlength{\parsep}{0pt}
% \setlength{\headsep}{0pt}
% \setlength{\topskip}{0pt}
% \setlength{\topmargin}{0pt}
% \setlength{\topsep}{0pt}
% \setlength{\partopsep}{0pt}
% \setlength{\itemsep}{1pt}
% \renewcommand\subsection{\@startsection
% {subsection}{2}{0mm}%
% {-\baslineskip}
% {0.5\baselineskip}
% {\normalfont\normalsize\itshape}}%
\linespread{1.0}
\begin{document}
%\pagestyle{fancy}
%\fancyhf{}
%\fancyhead[LO]{}
%\fancyhead[RE]{\leftmark}
%\cfoot{Page \thepage\ of \pageref{LastPage}}
%\rfoot{\today}
%\lhead{Developing a rigorous bottom-up modular static failure mode modelling methodology}
%\lhead{Developing a rigorous bottom-up modular static failure modelling methodology}
% numbers at outer edges
\pagenumbering{arabic} % Arabic page numbers hereafter
\author{R.Clark$^\star$ \\ %, A.~Fish$^\dagger$ , C.~Garrett$^\dagger$, J.~Howse$^\dagger$ \\
$^\star${\em Energy Technology Control, UK. r.clark@energytechnologycontrol.com} \and $^\dagger${\em University of Brighton, UK}
}
%\title{Developing a rigorous bottom-up modular static failure mode modelling methodology}
\title{Matter conceived as whirlpools of trapped energy}
%\nodate
\maketitle
\today
\paragraph{Keywords:} fermion, boson, matter,relativity, gravity
%\small
\abstract{ % \em
%\input{abs}
From general relativity, it is shown that a particle undergoing
acceleration will have a time dilation effect where
time for it will go slower than that experienced by an observer.
%
Using the twins paradox analogy the particle in the accelerating field
will age slower than the observer.
Special relativity shows that for a particle
in a faster frame of reference than the observer
time for it will go slower.
Again using the twins paradox analogy Twins paradox, the fast frame particle will be younger after a journey.
%
} % abstract
\section{Introduction}
%
% \begin{itemize}
% \item Objects in matter are whirlpools of energy similar to Jon Conways stable structures in the game of life.
% \item For special relativity, comparing a frame of reference to another moving at some proportion of $c$
% the particle in the faster frame of reference will be stretched along its path of travel. Its wave function
% (for it) will appear to be slower than the particle in the slower frame of reference. Thus time
% will appear to slow down for the particle in the faster frame.
% \item For General relativity a particle in an accelerating frame of reference will also have its
% wave path compressed, its wave function has less far to travel to complete its whirlpool.
% Time will therefore run slower of the particle being accelerated.
% This is bourne out by experiment.
% \end{itemize}
%
Were a near light speed spaceship to be built, it would likely
travel by accelerating up to a cruising speed (some proportion of $c$)
and then coasting and then turning its propulsion system around to decelerate
at the destination.
This paper applies both of these effects together.
If gen rel and special rel do not interfere, both effects should be accounted for.
%
% \section{Modelling 3 dimensional Life whirlpools}
%
%
% \section{ Applying acceleration and relative velocity to these models}
%
%
{
\footnotesize
\bibliographystyle{plain}
\bibliography{../../vmgbibliography,../../mybib}
}
\today
%\today
\end{document}

13
papers/whirlpools/whirlpools.tex
View File

@ -145,14 +145,21 @@ can be visualised.
\begin{itemize} \begin{itemize}
\item Objects in matter are whirlpools of energy similar to Jon Conways stable structures in the game of life. \item Objects in matter are whirlpools of energy similar to Jon Conways stable structures in the game of life.
%
\item For special relativity, comparing a frame of reference to another moving at some proportion of $c$ \item For special relativity, comparing a frame of reference to another moving at some proportion of $c$
the particle in the faster frame of reference will be stretched along its path of travel. Its wave function the particle in the faster frame of reference will be stretched along its path of travel.
%
Its wave function
(for it) will appear to be slower than the particle in the slower frame of reference. Thus time (for it) will appear to be slower than the particle in the slower frame of reference. Thus time
will appear to slow down for the particle in the faster frame. will appear to slow down for the particle in the faster frame.
%
\item For General relativity a particle in an accelerating frame of reference will also have its \item For General relativity a particle in an accelerating frame of reference will also have its
wave path compressed, its wave function has less far to travel to complete its whirlpool. wave path compressed, or squashed, so its wave function has more distance to travel to complete its whirlpool.
Time will therefore run slower of the particle being accelerated. %
Time will therefore run slower for the particle being accelerated.
%
This is bourne out by experiment. This is bourne out by experiment.
%
\end{itemize} \end{itemize}