diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index dde719a..713ffa3 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -10,6 +10,20 @@ { "id": "aea7b6310a1ff6ff", "type": "leaf", + "state": { + "type": "markdown", + "state": { + "file": "chapters/00_Introduction.md", + "mode": "source", + "source": false + }, + "icon": "lucide-file", + "title": "00_Introduction" + } + }, + { + "id": "09afe60c287c13ed", + "type": "leaf", "state": { "type": "markdown", "state": { @@ -21,7 +35,8 @@ "title": "README" } } - ] + ], + "currentTab": 1 } ], "direction": "vertical" @@ -247,20 +262,24 @@ "obsidian-kanban:Create new board": false } }, - "active": "aea7b6310a1ff6ff", + "active": "09afe60c287c13ed", "lastOpenFiles": [ - "lib/old-citations.bib", "chapters/02_Chapter2.md", + "build/b3.epub", + "build/Paths-to-Perception.epub", + "build/media", + "chapters/Citations.md", + "chapters/01_Chapter1.md", + "README.md", + "chapters/00_Introduction.md", + "chapters/Terminology.md", + "lib/old-citations.bib", "build/b3.html", "build/b3.tex", "build/Paths-to-Perception.tex", "build/Paths-to-Perception.html", "build/conf/style.css", "build/lib/mathjax/ui/safe.js", - "build/lib/mathjax/ui/menu.js", - "build/lib/mathjax/ui/lazy.js", - "build/lib/mathjax/ui", - "build/lib/mathjax/sre/mathmaps/sv.json", "build/lib/img/unit-circle-with-tau.png", "build/lib/img/unit-circle-with-pi.png.png", "build/lib/img/unit-circle-with-pi.png", @@ -271,12 +290,7 @@ "build/lib/img/Revolving_circles.480x480_white.png", "build/lib/img/Revolving_circles.480x480.png", "build/lib/img/Poo.png", - "README.md", - "chapters/00_Introduction.md", - "chapters/01_Chapter1.md", "pm/Book Action Items.md", - "chapters/Citations.md", - "chapters/Terminology.md", "chapters/Unitfication.md", "chapters/03_Cylindrical_Spacetime.md", "chapters/07_Consciousness_Continued.md", diff --git a/README.md b/README.md index 0cbc138..28d76d0 100644 --- a/README.md +++ b/README.md @@ -112,7 +112,7 @@ sudo apt install texlive texlive-xetex texlive-latex-extra texlive-fonts-recomme #### lmodern ``` -apt install lmodern +sudo apt install lmodern ``` #### epubcheck diff --git a/build/b3.epub b/build/b3.epub new file mode 100644 index 0000000..328a68f Binary files /dev/null and b/build/b3.epub differ diff --git a/build/b3.html b/build/b3.html index 970c7e2..7dfebf3 100644 --- a/build/b3.html +++ b/build/b3.html @@ -6,26 +6,12 @@ 00_Introduction + .display.math{display: block; text-align: center; margin: 0.5rem auto;} + @@ -184,50 +152,39 @@ window.MathJax = {

Introduction

“If I have seen further it is by standing on the shoulders of Giants.”

-

– Isaac Newton (“Isaac Newton Letter to -Robert Hooke, 1675,” n.d.)

+

– Isaac Newton

Conventions

In this book we’ll use a few conventions.

@@ -244,7 +201,7 @@ represent mainstream physics or math concepts.

Established Concept

Einsteins Relativistic Dynamics Equations E2 = (m0 ⋅ c2)2 + (p ⋅ c)2

+class="math display">E2 = (m0⋅c2)2 + (p⋅c)2

New ideas proposed by the author which have not been peer reviewed, verified or tested, and should be looked at with scrutiny.

@@ -263,7 +220,7 @@ disprove.

class="math inline">c = 1: E2 = m02 + p2

-

Chapter 1

+

Best Words Ever

Blah blah blah

Example Content

In Rν the - + Conversion Factor Symbol Value - + meters to Planck Length χP $1.74542\times10^{34} \frac{L}{m}$ - + seconds to Planck Length τp $5.23264\times10^{42} \frac{L}{s}$ - + mass to Planck Length GP $1.62871\times10^8 \frac{L}{kg}$ - + energy to Planck Length EP $1.81219\times10^9 \frac{L}{J}$ - + momentum to Planck Length PP $5.43280\times10^{-1} \frac{L\cdot s}{kg \cdot m}$ - + temperature to Planck Length kP $2.501998\times10^{-14} \frac{L}{K}$ - + charge to Planck Length CP @@ -359,7 +316,7 @@ on the the speed of light yields a unit-less number with a value of - + Quantity Symbol SI @@ -367,27 +324,27 @@ on the the speed of light yields a unit-less number with a value of - + Speed of Light c $299792458 \frac{m}{s}$ 1 - + Reduced Gravitational Constant G0 $8.38659\times10^{-10} \frac{m^3}{kg \cdot s^2}$ 1 - + Boltzmann’s Constant k $k=1.380649\times10^-23 \frac{J}{K}$ 1 - + Permittivity of Free Space ϵo @@ -395,7 +352,7 @@ class="math inline">ϵo \frac{C^{2}s^2}{kg \cdot m^3}$ 1 - + Permeability of Free Space μo @@ -403,14 +360,14 @@ class="math inline">μo c^{2}}}$ 1 - + Reduced Planck’s Constant ℏ $1.054571726\times10^-34 \frac{kg \cdot m^2}{s}$ 1L2 - + Mass of the Electron me @@ -419,15 +376,15 @@ class="math inline">9.10938 × 10−31kg 1.48366 × 10−22L - + Charge of the Electron e− −1.60218 × 10−19C +class="math inline"> − 1.60218 × 10−19C −3.02822 × 10−1L +class="math inline"> − 3.02822 × 10−1L - + Unit Cycle Θ 1 meter (

  • 1 kilometer (km) = 1000 meters (m)
  • 1 mile = 5280 feet (ft or ′)
    • +class="math inline">1 mile = 5280 feet (ft or ′)
  • $1\ foot\ (ft\ or\ ') = 12\ inches\ (in\ or\ ")$
  • $1\ inch\ (") = 2.54\ centimeters\ @@ -537,7 +494,7 @@ the total energy (E), rest mass (m0) and momentum (p) of a system.

    E2 = (m0 ⋅ c2)2 + (p ⋅ c)2

    +class="math inline">E2 = (m0⋅c2)2 + (p⋅c)2

    Where space and time are both measure in units of meters, c=1.

    E2 = (m0)2 + (p)2

    @@ -702,56 +659,56 @@ class="math inline">MP:

    - + Conversion Factor Symbol Value - + meters to Planck Length χP $1.74542\times10^{34} \frac{L}{m}$ - + seconds to Planck Length τp $5.23264\times10^{42} \frac{L}{s}$ - + mass to Planck Length GP $1.62871\times10^8 \frac{L}{kg}$ - + energy to Planck Length EP $1.81219\times10^9 \frac{L}{J}$ - + momentum to Planck Length PP $5.43280\times10^{-1} \frac{L\cdot s}{kg \cdot m}$ - + temperature to Planck Length kP $2.501998\times10^{-14} \frac{L}{K}$ - + charge to Planck Length CP @@ -771,7 +728,7 @@ class="math inline">$c=\frac{1}{\sqrt{\epsilon_o \mu_o}}$

    - + Quantity Symbol SI @@ -779,27 +736,27 @@ class="math inline">$c=\frac{1}{\sqrt{\epsilon_o \mu_o}}$

    - + Speed of Light c $299792458 \frac{m}{s}$ 1 - + Gravitational Constant G0 $8.38659\times10^{-10} \frac{m^3}{kg \cdot s^2}$ 1 - + Boltzmann’s Constant k $k=1.380649\times10^-23 \frac{J}{K}$ 1 - + Permittivity of Free Space ϵo @@ -807,7 +764,7 @@ class="math inline">ϵo \frac{C^{2}s^2}{kg \cdot m^3}$ 1 - + Permeability of Free Space μo @@ -815,14 +772,14 @@ class="math inline">μo c^{2}}}$ 1 - + Planck’s Constant ℏ $1.054571726\times10^-34 \frac{kg \cdot m^2}{s}$ 1L2 - + Mass of the Electron me @@ -831,13 +788,13 @@ class="math inline">9.10938 × 10−31kg 1.48366 × 10−22L - + Charge of the Electron e− −1.60218 × 10−19C +class="math inline"> − 1.60218 × 10−19C −3.02822 × 10−1L +class="math inline"> − 3.02822 × 10−1L @@ -935,13 +892,6 @@ Rν √ℏ = (5.72928e-35)*m si lP = (1.61620e-35)*sqrt(m^2) Rν lP = (2.77455e-47)*sqrt(m^3/kg)

    Terminology

    -

    Citations

    -
    -
    -“Isaac Newton Letter to Robert Hooke, -1675.” n.d. -
    -
    +

    Citations

    diff --git a/build/b3.pdf b/build/b3.pdf index d82ee76..c32ffe0 100644 Binary files a/build/b3.pdf and b/build/b3.pdf differ diff --git a/build/b3.tex b/build/b3.tex index 48757c7..a10a7ab 100644 --- a/build/b3.tex +++ b/build/b3.tex @@ -2,28 +2,23 @@ \PassOptionsToPackage{unicode}{hyperref} \PassOptionsToPackage{hyphens}{url} \PassOptionsToPackage{dvipsnames,svgnames,x11names}{xcolor} +% \documentclass[ 12pt, ]{book} -\usepackage{xcolor} -\usepackage[margin=1in]{geometry} \usepackage{amsmath,amssymb} -\setcounter{secnumdepth}{5} +\usepackage{lmodern} \usepackage{iftex} \ifPDFTeX \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{textcomp} % provide euro and other symbols \else % if luatex or xetex - \usepackage{unicode-math} % this also loads fontspec + \usepackage{unicode-math} \defaultfontfeatures{Scale=MatchLowercase} \defaultfontfeatures[\rmfamily]{Ligatures=TeX,Scale=1} -\fi -\usepackage{lmodern} -\ifPDFTeX\else - % xetex/luatex font selection - \setmainfont[]{Libertinus Serif} - \setsansfont[]{Libertinus Sans} + \setmainfont[]{Linux Libertine O} + \setsansfont[]{Linux Biolinum O} \setmonofont[]{DejaVu Sans Mono} \fi % Use upquote if available, for straight quotes in verbatim environments @@ -42,6 +37,18 @@ }{% if KOMA class \KOMAoptions{parskip=half}} \makeatother +\usepackage{xcolor} +\IfFileExists{xurl.sty}{\usepackage{xurl}}{} % add URL line breaks if available +\IfFileExists{bookmark.sty}{\usepackage{bookmark}}{\usepackage{hyperref}} +\hypersetup{ + colorlinks=true, + linkcolor={blue}, + filecolor={Maroon}, + citecolor={Blue}, + urlcolor={Blue}, + pdfcreator={LaTeX via pandoc}} +\urlstyle{same} % disable monospaced font for URLs +\usepackage[margin=1in]{geometry} \usepackage{color} \usepackage{fancyvrb} \newcommand{\VerbBar}{|} @@ -92,55 +99,21 @@ \makesavenoteenv{longtable} \usepackage{graphicx} \makeatletter -\newsavebox\pandoc@box -\newcommand*\pandocbounded[1]{% scales image to fit in text height/width - \sbox\pandoc@box{#1}% - \Gscale@div\@tempa{\textheight}{\dimexpr\ht\pandoc@box+\dp\pandoc@box\relax}% - \Gscale@div\@tempb{\linewidth}{\wd\pandoc@box}% - \ifdim\@tempb\p@<\@tempa\p@\let\@tempa\@tempb\fi% select the smaller of both - \ifdim\@tempa\p@<\p@\scalebox{\@tempa}{\usebox\pandoc@box}% - \else\usebox{\pandoc@box}% - \fi% -} +\def\maxwidth{\ifdim\Gin@nat@width>\linewidth\linewidth\else\Gin@nat@width\fi} +\def\maxheight{\ifdim\Gin@nat@height>\textheight\textheight\else\Gin@nat@height\fi} +\makeatother +% Scale images if necessary, so that they will not overflow the page +% margins by default, and it is still possible to overwrite the defaults +% using explicit options in \includegraphics[width, height, ...]{} +\setkeys{Gin}{width=\maxwidth,height=\maxheight,keepaspectratio} % Set default figure placement to htbp +\makeatletter \def\fps@figure{htbp} \makeatother -% definitions for citeproc citations -\NewDocumentCommand\citeproctext{}{} -\NewDocumentCommand\citeproc{mm}{% - \begingroup\def\citeproctext{#2}\cite{#1}\endgroup} -\makeatletter - % allow citations to break across lines - \let\@cite@ofmt\@firstofone - % avoid brackets around text for \cite: - \def\@biblabel#1{} - \def\@cite#1#2{{#1\if@tempswa , #2\fi}} -\makeatother -\newlength{\cslhangindent} -\setlength{\cslhangindent}{1.5em} -\newlength{\csllabelwidth} -\setlength{\csllabelwidth}{3em} -\newenvironment{CSLReferences}[2] % #1 hanging-indent, #2 entry-spacing - {\begin{list}{}{% - \setlength{\itemindent}{0pt} - \setlength{\leftmargin}{0pt} - \setlength{\parsep}{0pt} - % turn on hanging indent if param 1 is 1 - \ifodd #1 - \setlength{\leftmargin}{\cslhangindent} - \setlength{\itemindent}{-1\cslhangindent} - \fi - % set entry spacing - \setlength{\itemsep}{#2\baselineskip}}} - {\end{list}} -\usepackage{calc} -\newcommand{\CSLBlock}[1]{\hfill\break\parbox[t]{\linewidth}{\strut\ignorespaces#1\strut}} -\newcommand{\CSLLeftMargin}[1]{\parbox[t]{\csllabelwidth}{\strut#1\strut}} -\newcommand{\CSLRightInline}[1]{\parbox[t]{\linewidth - \csllabelwidth}{\strut#1\strut}} -\newcommand{\CSLIndent}[1]{\hspace{\cslhangindent}#1} \setlength{\emergencystretch}{3em} % prevent overfull lines \providecommand{\tightlist}{% \setlength{\itemsep}{0pt}\setlength{\parskip}{0pt}} +\setcounter{secnumdepth}{5} \usepackage[most]{tcolorbox} \usepackage{graphicx} \tcbuselibrary{breakable} @@ -187,16 +160,9 @@ after = \par\vspace{6pt} } -\usepackage{bookmark} -\IfFileExists{xurl.sty}{\usepackage{xurl}}{} % add URL line breaks if available -\urlstyle{same} -\hypersetup{ - colorlinks=true, - linkcolor={blue}, - filecolor={Maroon}, - citecolor={Blue}, - urlcolor={Blue}, - pdfcreator={LaTeX via pandoc}} +\ifLuaTeX + \usepackage{selnolig} % disable illegal ligatures +\fi \author{} \date{} @@ -206,25 +172,28 @@ \renewcommand*\contentsname{Contents} { +\hypersetup{linkcolor=} \setcounter{tocdepth}{3} \tableofcontents } \mainmatter -\chapter{Introduction}\label{introduction} +\hypertarget{introduction}{% +\chapter{Introduction}\label{introduction}} \begin{quote} ``\emph{If I have seen further it is by standing on the shoulders of Giants.}'' --- Isaac Newton (\citeproc{ref-IsaacNewtonLetter}{{``Isaac {Newton} -Letter to {Robert Hooke}, 1675,''} n.d.}) +-- Isaac Newton \end{quote} -\section{Conventions}\label{conventions} +\hypertarget{conventions}{% +\section{Conventions}\label{conventions}} In this book we'll use a few conventions. -\subsection{New Concepts}\label{new-concepts} +\hypertarget{new-concepts}{% +\subsection{New Concepts}\label{new-concepts}} As many of the topics discussed in this book are a mix of \textbf{established} math and physics, \textbf{proposed} dualistic @@ -259,11 +228,13 @@ Speculative Concept With the speed of light, \(c = 1\): \[E^2 = m_{0}^2 + p^2 \] \end{speculativebox} -\chapter{Chapter 1}\label{chapter-1} +\hypertarget{best-words-ever}{% +\chapter{Best Words Ever}\label{best-words-ever}} Blah blah blah -\chapter{Example Content}\label{example-content} +\hypertarget{example-content}{% +\chapter{Example Content}\label{example-content}} In \(R\nu\) the \href{https://en.wikipedia.org/wiki/Planck_units\#Planck_length}{Planck @@ -272,17 +243,18 @@ defined approximately to be: \[\boxed{L_P=\sqrt{\hbar}=5.72928\times10^{-35}m=1 L}\] Where \(1\ L\), is 1 Planck Length of distance. -\subsection{SI Conversion Factors}\label{si-conversion-factors} +\hypertarget{si-conversion-factors}{% +\subsection{SI Conversion Factors}\label{si-conversion-factors}} The following conversion factors can be used to convert observable quantities of measure from the \emph{SI} system of units to \(R\nu\) to \textasciitilde6 significant digits. \begin{longtable}[]{@{} - >{\raggedright\arraybackslash}p{(\linewidth - 4\tabcolsep) * \real{0.3256}} - >{\raggedright\arraybackslash}p{(\linewidth - 4\tabcolsep) * \real{0.0930}} - >{\raggedright\arraybackslash}p{(\linewidth - 4\tabcolsep) * \real{0.5814}}@{}} -\toprule\noalign{} + >{\raggedright\arraybackslash}p{(\columnwidth - 4\tabcolsep) * \real{0.3256}} + >{\raggedright\arraybackslash}p{(\columnwidth - 4\tabcolsep) * \real{0.0930}} + >{\raggedright\arraybackslash}p{(\columnwidth - 4\tabcolsep) * \real{0.5814}}@{}} +\toprule \begin{minipage}[b]{\linewidth}\raggedright Conversion Factor \end{minipage} & \begin{minipage}[b]{\linewidth}\raggedright @@ -290,10 +262,8 @@ Symbol \end{minipage} & \begin{minipage}[b]{\linewidth}\raggedright Value \end{minipage} \\ -\midrule\noalign{} +\midrule \endhead -\bottomrule\noalign{} -\endlastfoot meters to Planck Length & \(\chi_P\) & \(1.74542\times10^{34} \frac{L}{m}\) \\ seconds to Planck Length & \(\tau_p\) & @@ -306,9 +276,11 @@ temperature to Planck Length & \(k_P\) & \(2.501998\times10^{-14} \frac{L}{K}\) \\ charge to Planck Length & \(C_P\) & \(1.89007\times10^{18} \frac{L}{C}\) \\ +\bottomrule \end{longtable} -\subsection{Physical Constants}\label{physical-constants} +\hypertarget{physical-constants}{% +\subsection{Physical Constants}\label{physical-constants}} Applying conversion factors from the table above, we can convert SI values to Reduced Natural Units. For example, performing this analysis @@ -317,11 +289,11 @@ on the the speed of light yields a unit-less number with a value of 1: \(c = 299792458 \frac{m}{s} = 299792458 \frac{m}{s} \cdot 1.74542\times10^{34} \frac{L}{m} \cdot \frac{1}{5.23264\times10^{42} \frac{L}{s}} = 1.00000\) \begin{longtable}[]{@{} - >{\raggedright\arraybackslash}p{(\linewidth - 6\tabcolsep) * \real{0.2273}} - >{\raggedright\arraybackslash}p{(\linewidth - 6\tabcolsep) * \real{0.0909}} - >{\raggedright\arraybackslash}p{(\linewidth - 6\tabcolsep) * \real{0.4545}} - >{\raggedright\arraybackslash}p{(\linewidth - 6\tabcolsep) * \real{0.2273}}@{}} -\toprule\noalign{} + >{\raggedright\arraybackslash}p{(\columnwidth - 6\tabcolsep) * \real{0.2273}} + >{\raggedright\arraybackslash}p{(\columnwidth - 6\tabcolsep) * \real{0.0909}} + >{\raggedright\arraybackslash}p{(\columnwidth - 6\tabcolsep) * \real{0.4545}} + >{\raggedright\arraybackslash}p{(\columnwidth - 6\tabcolsep) * \real{0.2273}}@{}} +\toprule \begin{minipage}[b]{\linewidth}\raggedright Quantity \end{minipage} & \begin{minipage}[b]{\linewidth}\raggedright @@ -331,10 +303,8 @@ SI \end{minipage} & \begin{minipage}[b]{\linewidth}\raggedright \(\nu\) \end{minipage} \\ -\midrule\noalign{} +\midrule \endhead -\bottomrule\noalign{} -\endlastfoot Speed of Light & \(c\) & \(299792458 \frac{m}{s}\) & 1 \\ Reduced Gravitational Constant & \(G_0\) & \(8.38659\times10^{-10} \frac{m^3}{kg \cdot s^2}\) & 1 \\ @@ -352,9 +322,11 @@ Charge of the Electron & \(e^-\) & \(-1.60218\times10^{-19} C\) & \(-3.02822\times10^{-1} L\) \\ Unit Cycle & \(\Theta\) & \(2\pi = 6.28318...\ Radians\) & \(1 \tau = 6.28318...\ Radians\) \\ +\bottomrule \end{longtable} -\section{Fine Structure Constant}\label{fine-structure-constant} +\hypertarget{fine-structure-constant}{% +\section{Fine Structure Constant}\label{fine-structure-constant}} As a consistency check, we compute the \emph{\href{https://en.wikipedia.org/wiki/Fine-structure_constant}{Fine @@ -363,7 +335,8 @@ ratio that should be independent of our system of units. \(\huge{\alpha=\frac{e^2}{4\pi\epsilon_o\hbar c}=\frac{e^2}{2\tau}=0.00729735≈\frac{1}{137}}\) -\subsubsection{Dimensional Analysis}\label{dimensional-analysis} +\hypertarget{dimensional-analysis}{% +\subsubsection{Dimensional Analysis}\label{dimensional-analysis}} The reader should be familiar with high school physics and chemistry \href{https://en.wikipedia.org/wiki/Dimensional_analysis}{dimensional @@ -388,7 +361,8 @@ How many kilometers are in 1 mile? Note that each unit in the denominator cancels with one if the numerator until we are left with only km. -\section{Newton's Law of Gravity}\label{newtons-law-of-gravity} +\hypertarget{newtons-law-of-gravity}{% +\section{Newton's Law of Gravity}\label{newtons-law-of-gravity}} The force of gravity (\(F_g\)) between 2 masses, \(m1\) and \(m2\) separated by distance \(r\) is given by @@ -407,7 +381,8 @@ The strength of gravitational force follow the inverse square law distributing gravitational flux over the surface area of a sphere (\(4\pi r^2\)). -\subsubsection{Inverse Square Law}\label{inverse-square-law} +\hypertarget{inverse-square-law}{% +\subsubsection{Inverse Square Law}\label{inverse-square-law}} Any source of a signal strength (\(S_0\)) that radiates isotropically in 3-dimensional space will distribute that signal strength (\(S_0\)) over @@ -415,12 +390,11 @@ the surface area of a sphere (\(SA = 4 \pi r\)) of radius (\(r\)). Such that the intensity (\(I\)) at distance (\(r\)) is: \[I(r) = \frac{S_0}{4 \pi r^{2}}=\frac{S_0}{2 \tau r^{2}}\] -\pandocbounded{\includegraphics[keepaspectratio,alt={inverse square law}]{lib/img/Inverse_square_law.svg.png}} -\#\#\#\# \(R\nu\) Reduced Gravitational Constant In this version of -Newton's Law of Gravity we introduce a new constant \(G_0\), the reduced -gravitational constant to accommodate for the factor of \(4\pi = 2\tau\) -which is has been integrated in the SI version of the gravitational -constant. +\includegraphics{lib/img/Inverse_square_law.svg.png} \#\#\#\# \(R\nu\) +Reduced Gravitational Constant In this version of Newton's Law of +Gravity we introduce a new constant \(G_0\), the reduced gravitational +constant to accommodate for the factor of \(4\pi = 2\tau\) which is has +been integrated in the SI version of the gravitational constant. \(F_g =G \frac{m_{1} m_{2}}{r^{2}}= G_0 \frac{m_{1} m_{2}}{4 \pi r^{2}}=G_0 \frac{m_{1} m_{2}}{2 \tau r^{2}}\) @@ -444,8 +418,9 @@ Observation This implies that not only can space an time be measure in units of meters, but so can mass. \end{quote} +\hypertarget{relativistic-energy-momentum-relation}{% \subsection{Relativistic Energy Momentum -Relation}\label{relativistic-energy-momentum-relation} +Relation}\label{relativistic-energy-momentum-relation}} Einsteins \href{https://en.wikipedia.org/wiki/Energy\%E2\%80\%93momentum_relation}{Relativistic @@ -468,7 +443,8 @@ know that they are fundamentally ``made'' out of the same stuff because they have the same units.} \end{quote} -\paragraph{Objects of mass at rest}\label{objects-of-mass-at-rest} +\hypertarget{objects-of-mass-at-rest}{% +\paragraph{Objects of mass at rest}\label{objects-of-mass-at-rest}} For an object at rest with no momentum (\(p = 0\)) we see Einstein's famous equations: @@ -486,7 +462,8 @@ Or, with \(c=1\), this is much simpler to understand. Energy = Momentum \(E=p\) -\section{Planck's Constant}\label{plancks-constant} +\hypertarget{plancks-constant}{% +\section{Planck's Constant}\label{plancks-constant}} The \href{https://en.wikipedia.org/wiki/Planck_constant}{Reduced Planck constant} , ħ, represents a conversion factor for relating the @@ -516,7 +493,8 @@ which the square root of is suspiciously close to the Plank length: \[\boxed{\sqrt{\hbar}=\sqrt{3.282462\times10^{-69}m^2}=5.72928\times10^{-35}m}\] -\subsubsection{Planck Area}\label{planck-area} +\hypertarget{planck-area}{% +\subsubsection{Planck Area}\label{planck-area}} The \href{https://en.wikipedia.org/wiki/Planck_units\#Derived_units}{Planck @@ -555,7 +533,8 @@ With the limiting case being at the Plank scale. \(S=\frac{\pi\cdot \sqrt{\hbar}}{\hbar G_0}\) -\section{Planck Length}\label{planck-length} +\hypertarget{planck-length}{% +\section{Planck Length}\label{planck-length}} https://en.wikipedia.org/wiki/Planck\_length @@ -637,10 +616,10 @@ equal to the Plank Mass, \(M_P\): \[\boxed{L_P=T_P=M_P}\] \begin{longtable}[]{@{} - >{\raggedright\arraybackslash}p{(\linewidth - 4\tabcolsep) * \real{0.3000}} - >{\raggedright\arraybackslash}p{(\linewidth - 4\tabcolsep) * \real{0.3000}} - >{\raggedright\arraybackslash}p{(\linewidth - 4\tabcolsep) * \real{0.4000}}@{}} -\toprule\noalign{} + >{\raggedright\arraybackslash}p{(\columnwidth - 4\tabcolsep) * \real{0.3000}} + >{\raggedright\arraybackslash}p{(\columnwidth - 4\tabcolsep) * \real{0.3000}} + >{\raggedright\arraybackslash}p{(\columnwidth - 4\tabcolsep) * \real{0.4000}}@{}} +\toprule \begin{minipage}[b]{\linewidth}\raggedright Conversion Factor \end{minipage} & \begin{minipage}[b]{\linewidth}\raggedright @@ -648,10 +627,8 @@ Symbol \end{minipage} & \begin{minipage}[b]{\linewidth}\raggedright Value \end{minipage} \\ -\midrule\noalign{} +\midrule \endhead -\bottomrule\noalign{} -\endlastfoot meters to Planck Length & \(\chi_P\) & \(1.74542\times10^{34} \frac{L}{m}\) \\ seconds to Planck Length & \(\tau_p\) & @@ -664,17 +641,18 @@ temperature to Planck Length & \(k_P\) & \(2.501998\times10^{-14} \frac{L}{K}\) \\ charge to Planck Length & \(C_P\) & \(1.89007\times10^{18} \frac{L}{C}\) \\ +\bottomrule \end{longtable} Applying conversion factors from the table above, we can convert SI values to Reduced Natural Units. \(c=\frac{1}{\sqrt{\epsilon_o \mu_o}}\) \begin{longtable}[]{@{} - >{\raggedright\arraybackslash}p{(\linewidth - 6\tabcolsep) * \real{0.2308}} - >{\raggedright\arraybackslash}p{(\linewidth - 6\tabcolsep) * \real{0.2308}} - >{\raggedright\arraybackslash}p{(\linewidth - 6\tabcolsep) * \real{0.2308}} - >{\raggedright\arraybackslash}p{(\linewidth - 6\tabcolsep) * \real{0.3077}}@{}} -\toprule\noalign{} + >{\raggedright\arraybackslash}p{(\columnwidth - 6\tabcolsep) * \real{0.2308}} + >{\raggedright\arraybackslash}p{(\columnwidth - 6\tabcolsep) * \real{0.2308}} + >{\raggedright\arraybackslash}p{(\columnwidth - 6\tabcolsep) * \real{0.2308}} + >{\raggedright\arraybackslash}p{(\columnwidth - 6\tabcolsep) * \real{0.3077}}@{}} +\toprule \begin{minipage}[b]{\linewidth}\raggedright Quantity \end{minipage} & \begin{minipage}[b]{\linewidth}\raggedright @@ -684,10 +662,8 @@ SI \end{minipage} & \begin{minipage}[b]{\linewidth}\raggedright \(\nu\) \end{minipage} \\ -\midrule\noalign{} +\midrule \endhead -\bottomrule\noalign{} -\endlastfoot Speed of Light & \(c\) & \(299792458 \frac{m}{s}\) & 1 \\ Gravitational Constant & \(G_0\) & \(8.38659\times10^{-10} \frac{m^3}{kg \cdot s^2}\) & 1 \\ @@ -703,9 +679,11 @@ Mass of the Electron & \(m_e\) & \(9.10938\times10^{-31} kg\) & \(1.48366\times10^{-22} L\) \\ Charge of the Electron & \(e^-\) & \(-1.60218\times10^{-19} C\) & \(-3.02822\times10^{-1} L\) \\ +\bottomrule \end{longtable} -\section{Fine Structure Constant}\label{fine-structure-constant-1} +\hypertarget{fine-structure-constant-1}{% +\section{Fine Structure Constant}\label{fine-structure-constant-1}} https://en.wikipedia.org/wiki/Fine-structure\_constant As a consistency check, we compute the \emph{Fine Structure Constant} using Reduced @@ -719,7 +697,8 @@ internally consistent values for \(c\), \(\epsilon_o\), \(\hbar\) and \(e-\). And also \(G_o\) which was used to computer prior values is also consistent. -\section{Sage Code}\label{sage-code} +\hypertarget{sage-code}{% +\section{Sage Code}\label{sage-code}} Unit Analysis computations have been performed with \href{https://www.sagemath.org/}{Sage Math}. @@ -790,7 +769,8 @@ Unit Analysis computations have been performed with \end{Highlighting} \end{Shaded} -\subsubsection{Output}\label{output} +\hypertarget{output}{% +\subsubsection{Output}\label{output}} \begin{verbatim} pi = 3.14159 @@ -806,17 +786,11 @@ si lP = (1.61620e-35)*sqrt(m^2) Rν lP = (2.77455e-47)*sqrt(m^3/kg) \end{verbatim} -\chapter{Terminology}\label{terminology} +\hypertarget{terminology}{% +\chapter{Terminology}\label{terminology}} -\chapter*{Citations}\label{citations} -\addcontentsline{toc}{chapter}{Citations} - -\protect\phantomsection\label{refs} -\begin{CSLReferences}{1}{1} -\bibitem[\citeproctext]{ref-IsaacNewtonLetter} -{``Isaac {Newton} Letter to {Robert Hooke}, 1675.''} n.d. - -\end{CSLReferences} +\hypertarget{citations}{% +\chapter{Citations}\label{citations}} \backmatter \end{document} diff --git a/chapters/00_Introduction.md b/chapters/00_Introduction.md index 44264ef..2283d50 100644 --- a/chapters/00_Introduction.md +++ b/chapters/00_Introduction.md @@ -3,7 +3,7 @@ > “*If I have seen further it is by standing on the shoulders of Giants.*” > -> -- Isaac Newton [@IsaacNewtonLetter] +> -- Isaac Newton ## Conventions diff --git a/chapters/01_Chapter1.md b/chapters/01_Chapter1.md index 193e0b0..7acb97b 100644 --- a/chapters/01_Chapter1.md +++ b/chapters/01_Chapter1.md @@ -1,3 +1,3 @@ -# Chapter 1 +# Best Words Ever Blah blah blah diff --git a/conf/epub.yaml b/conf/epub.yaml index 3296f4f..aad048f 100644 --- a/conf/epub.yaml +++ b/conf/epub.yaml @@ -1,6 +1,6 @@ from: markdown to: epub -output-file: build/Paths-to-Perception.epub +output-file: build/b3.epub metadata: title: "Big Beautiful Book" diff --git a/conf/pandoc.yaml b/conf/pandoc.yaml index 3c1970f..868b970 100644 --- a/conf/pandoc.yaml +++ b/conf/pandoc.yaml @@ -11,8 +11,8 @@ standalone: true metadata: - mainfont: "Libertinus Serif" - sansfont: "Libertinus Sans" + mainfont: "Linux Libertine O" + sansfont: "Linux Biolinum O" monofont: "DejaVu Sans Mono" date: "" # <-- forces maketitle to exist, but blank link-citations: true