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Testing Build Env

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John Haverlack 2025-11-06 10:27:28 -09:00
parent 629308b296
commit 657ca6a2ab
10 changed files with 202 additions and 264 deletions
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38
.obsidian/workspace.json vendored
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@ -10,6 +10,20 @@
{ {
"id": "aea7b6310a1ff6ff", "id": "aea7b6310a1ff6ff",
"type": "leaf", "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": { "state": {
"type": "markdown", "type": "markdown",
"state": { "state": {
@ -21,7 +35,8 @@
"title": "README" "title": "README"
} }
} }
] ],
"currentTab": 1
} }
], ],
"direction": "vertical" "direction": "vertical"
@ -247,20 +262,24 @@
"obsidian-kanban:Create new board": false "obsidian-kanban:Create new board": false
} }
}, },
"active": "aea7b6310a1ff6ff", "active": "09afe60c287c13ed",
"lastOpenFiles": [ "lastOpenFiles": [
"lib/old-citations.bib",
"chapters/02_Chapter2.md", "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.html",
"build/b3.tex", "build/b3.tex",
"build/Paths-to-Perception.tex", "build/Paths-to-Perception.tex",
"build/Paths-to-Perception.html", "build/Paths-to-Perception.html",
"build/conf/style.css", "build/conf/style.css",
"build/lib/mathjax/ui/safe.js", "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-tau.png",
"build/lib/img/unit-circle-with-pi.png.png", "build/lib/img/unit-circle-with-pi.png.png",
"build/lib/img/unit-circle-with-pi.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_white.png",
"build/lib/img/Revolving_circles.480x480.png", "build/lib/img/Revolving_circles.480x480.png",
"build/lib/img/Poo.png", "build/lib/img/Poo.png",
"README.md",
"chapters/00_Introduction.md",
"chapters/01_Chapter1.md",
"pm/Book Action Items.md", "pm/Book Action Items.md",
"chapters/Citations.md",
"chapters/Terminology.md",
"chapters/Unitfication.md", "chapters/Unitfication.md",
"chapters/03_Cylindrical_Spacetime.md", "chapters/03_Cylindrical_Spacetime.md",
"chapters/07_Consciousness_Continued.md", "chapters/07_Consciousness_Continued.md",

2
README.md
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@ -112,7 +112,7 @@ sudo apt install texlive texlive-xetex texlive-latex-extra texlive-fonts-recomme
#### lmodern #### lmodern
``` ```
apt install lmodern sudo apt install lmodern
``` ```
#### epubcheck #### epubcheck

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182
build/b3.html
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@ -6,26 +6,12 @@
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes" /> <meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes" />
<title>00_Introduction</title> <title>00_Introduction</title>
<style> <style>
/* Default styles provided by pandoc.
** See https://pandoc.org/MANUAL.html#variables-for-html for config info.
*/
code{white-space: pre-wrap;} code{white-space: pre-wrap;}
span.smallcaps{font-variant: small-caps;} span.smallcaps{font-variant: small-caps;}
div.columns{display: flex; gap: min(4vw, 1.5em);} span.underline{text-decoration: underline;}
div.column{flex: auto; overflow-x: auto;} div.column{display: inline-block; vertical-align: top; width: 50%;}
div.hanging-indent{margin-left: 1.5em; text-indent: -1.5em;} div.hanging-indent{margin-left: 1.5em; text-indent: -1.5em;}
/* The extra [class] is a hack that increases specificity enough to ul.task-list{list-style: none;}
override a similar rule in reveal.js */
ul.task-list[class]{list-style: none;}
ul.task-list li input[type="checkbox"] {
font-size: inherit;
width: 0.8em;
margin: 0 0.8em 0.2em -1.6em;
vertical-align: middle;
}
.display.math{display: block; text-align: center; margin: 0.5rem auto;}
/* CSS for syntax highlighting */
html { -webkit-text-size-adjust: 100%; }
pre > code.sourceCode { white-space: pre; position: relative; } pre > code.sourceCode { white-space: pre; position: relative; }
pre > code.sourceCode > span { display: inline-block; line-height: 1.25; } pre > code.sourceCode > span { display: inline-block; line-height: 1.25; }
pre > code.sourceCode > span:empty { height: 1.2em; } pre > code.sourceCode > span:empty { height: 1.2em; }
@ -89,26 +75,8 @@
code span.va { color: #19177c; } /* Variable */ code span.va { color: #19177c; } /* Variable */
code span.vs { color: #4070a0; } /* VerbatimString */ code span.vs { color: #4070a0; } /* VerbatimString */
code span.wa { color: #60a0b0; font-weight: bold; font-style: italic; } /* Warning */ code span.wa { color: #60a0b0; font-weight: bold; font-style: italic; } /* Warning */
/* CSS for citations */ .display.math{display: block; text-align: center; margin: 0.5rem auto;}
div.csl-bib-body { } </style>
div.csl-entry {
clear: both;
}
.hanging-indent div.csl-entry {
margin-left:2em;
text-indent:-2em;
}
div.csl-left-margin {
min-width:2em;
float:left;
}
div.csl-right-inline {
margin-left:2em;
padding-left:1em;
}
div.csl-indent {
margin-left: 2em;
} </style>
<link rel="stylesheet" href="conf/style.css" /> <link rel="stylesheet" href="conf/style.css" />
</head> </head>
<body> <body>
@ -184,50 +152,39 @@ window.MathJax = {
<nav id="TOC" role="doc-toc"> <nav id="TOC" role="doc-toc">
<h2 id="toc-title">Contents</h2> <h2 id="toc-title">Contents</h2>
<ul> <ul>
<li><a href="#introduction" id="toc-introduction">Introduction</a> <li><a href="#introduction">Introduction</a>
<ul> <ul>
<li><a href="#conventions" id="toc-conventions">Conventions</a> <li><a href="#conventions">Conventions</a>
<ul> <ul>
<li><a href="#new-concepts" id="toc-new-concepts">New Concepts</a></li> <li><a href="#new-concepts">New Concepts</a></li>
</ul></li> </ul></li>
</ul></li> </ul></li>
<li><a href="#chapter-1" id="toc-chapter-1">Chapter 1</a></li> <li><a href="#best-words-ever">Best Words Ever</a></li>
<li><a href="#example-content" id="toc-example-content">Example <li><a href="#example-content">Example Content</a>
Content</a>
<ul> <ul>
<li><a href="#si-conversion-factors" id="toc-si-conversion-factors">SI <li><a href="#si-conversion-factors">SI Conversion Factors</a></li>
Conversion Factors</a></li> <li><a href="#physical-constants">Physical Constants</a></li>
<li><a href="#physical-constants" id="toc-physical-constants">Physical <li><a href="#fine-structure-constant">Fine Structure Constant</a></li>
Constants</a></li> <li><a href="#newtons-law-of-gravity">Newton’s Law of Gravity</a>
<li><a href="#fine-structure-constant"
id="toc-fine-structure-constant">Fine Structure Constant</a></li>
<li><a href="#newtons-law-of-gravity"
id="toc-newtons-law-of-gravity">Newton’s Law of Gravity</a>
<ul> <ul>
<li><a href="#relativistic-energy-momentum-relation" <li><a href="#relativistic-energy-momentum-relation">Relativistic Energy
id="toc-relativistic-energy-momentum-relation">Relativistic Energy
Momentum Relation</a></li> Momentum Relation</a></li>
</ul></li> </ul></li>
<li><a href="#plancks-constant" id="toc-plancks-constant">Planck’s <li><a href="#plancks-constant">Planck’s Constant</a></li>
<li><a href="#planck-length">Planck Length</a></li>
<li><a href="#fine-structure-constant-1">Fine Structure
Constant</a></li> Constant</a></li>
<li><a href="#planck-length" id="toc-planck-length">Planck <li><a href="#sage-code">Sage Code</a></li>
Length</a></li>
<li><a href="#fine-structure-constant-1"
id="toc-fine-structure-constant-1">Fine Structure Constant</a></li>
<li><a href="#sage-code" id="toc-sage-code">Sage Code</a></li>
</ul></li> </ul></li>
<li><a href="#terminology" id="toc-terminology">Terminology</a></li> <li><a href="#terminology">Terminology</a></li>
<li><a href="#citations" id="toc-citations">Citations</a></li> <li><a href="#citations">Citations</a></li>
</ul> </ul>
</nav> </nav>
<h1 id="introduction">Introduction</h1> <h1 id="introduction">Introduction</h1>
<blockquote> <blockquote>
<p>“<em>If I have seen further it is by standing on the shoulders of <p>“<em>If I have seen further it is by standing on the shoulders of
Giants.</em>”</p> Giants.</em>”</p>
<p>– Isaac Newton <span class="citation" <p>– Isaac Newton</p>
data-cites="IsaacNewtonLetter">(<a href="#ref-IsaacNewtonLetter"
role="doc-biblioref"><span>“Isaac <span>Newton</span> Letter to
<span>Robert Hooke</span>, 1675,”</span> n.d.</a>)</span></p>
</blockquote> </blockquote>
<h2 id="conventions">Conventions</h2> <h2 id="conventions">Conventions</h2>
<p>In this book we’ll use a few conventions.</p> <p>In this book we’ll use a few conventions.</p>
@ -244,7 +201,7 @@ represent mainstream physics or math concepts.</p>
<div class="callout-established"> <div class="callout-established">
<p><strong>Established Concept</strong></p> <p><strong>Established Concept</strong></p>
<p> Einsteins Relativistic Dynamics Equations <span <p> Einsteins Relativistic Dynamics Equations <span
class="math display"><em>E</em><sup>2</sup> = (<em>m</em><sub>0</sub> ⋅ <em>c</em><sup>2</sup>)<sup>2</sup> + (<em>p</em> ⋅ <em>c</em>)<sup>2</sup></span></p> class="math display"><em>E</em><sup>2</sup> = (<em>m</em><sub>0</sub>⋅<em>c</em><sup>2</sup>)<sup>2</sup> + (<em>p</em>⋅<em>c</em>)<sup>2</sup></span></p>
</div> </div>
<p>New ideas proposed by the author which have not been peer reviewed, <p>New ideas proposed by the author which have not been peer reviewed,
verified or tested, and should be looked at with scrutiny.</p> verified or tested, and should be looked at with scrutiny.</p>
@ -263,7 +220,7 @@ disprove.</p>
class="math inline"><em>c</em> = 1</span>: <span class="math inline"><em>c</em> = 1</span>: <span
class="math display"><em>E</em><sup>2</sup> = <em>m</em><sub>0</sub><sup>2</sup> + <em>p</em><sup>2</sup></span></p> class="math display"><em>E</em><sup>2</sup> = <em>m</em><sub>0</sub><sup>2</sup> + <em>p</em><sup>2</sup></span></p>
</div> </div>
<h1 id="chapter-1">Chapter 1</h1> <h1 id="best-words-ever">Best Words Ever</h1>
<p>Blah blah blah</p> <p>Blah blah blah</p>
<h1 id="example-content">Example Content</h1> <h1 id="example-content">Example Content</h1>
<p>In <span class="math inline"><em>R</em><em>ν</em></span> the <a <p>In <span class="math inline"><em>R</em><em>ν</em></span> the <a
@ -285,56 +242,56 @@ digits.</p>
<col style="width: 58%" /> <col style="width: 58%" />
</colgroup> </colgroup>
<thead> <thead>
<tr> <tr class="header">
<th>Conversion Factor</th> <th>Conversion Factor</th>
<th>Symbol</th> <th>Symbol</th>
<th>Value</th> <th>Value</th>
</tr> </tr>
</thead> </thead>
<tbody> <tbody>
<tr> <tr class="odd">
<td>meters to Planck Length</td> <td>meters to Planck Length</td>
<td><span <td><span
class="math inline"><em>χ</em><sub><em>P</em></sub></span></td> class="math inline"><em>χ</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$1.74542\times10^{34} <td><span class="math inline">$1.74542\times10^{34}
\frac{L}{m}$</span></td> \frac{L}{m}$</span></td>
</tr> </tr>
<tr> <tr class="even">
<td>seconds to Planck Length</td> <td>seconds to Planck Length</td>
<td><span <td><span
class="math inline"><em>τ</em><sub><em>p</em></sub></span></td> class="math inline"><em>τ</em><sub><em>p</em></sub></span></td>
<td><span class="math inline">$5.23264\times10^{42} <td><span class="math inline">$5.23264\times10^{42}
\frac{L}{s}$</span></td> \frac{L}{s}$</span></td>
</tr> </tr>
<tr> <tr class="odd">
<td>mass to Planck Length</td> <td>mass to Planck Length</td>
<td><span <td><span
class="math inline"><em>G</em><sub><em>P</em></sub></span></td> class="math inline"><em>G</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$1.62871\times10^8 <td><span class="math inline">$1.62871\times10^8
\frac{L}{kg}$</span></td> \frac{L}{kg}$</span></td>
</tr> </tr>
<tr> <tr class="even">
<td>energy to Planck Length</td> <td>energy to Planck Length</td>
<td><span <td><span
class="math inline"><em>E</em><sub><em>P</em></sub></span></td> class="math inline"><em>E</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$1.81219\times10^9 <td><span class="math inline">$1.81219\times10^9
\frac{L}{J}$</span></td> \frac{L}{J}$</span></td>
</tr> </tr>
<tr> <tr class="odd">
<td>momentum to Planck Length</td> <td>momentum to Planck Length</td>
<td><span <td><span
class="math inline"><em>P</em><sub><em>P</em></sub></span></td> class="math inline"><em>P</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$5.43280\times10^{-1} \frac{L\cdot s}{kg <td><span class="math inline">$5.43280\times10^{-1} \frac{L\cdot s}{kg
\cdot m}$</span></td> \cdot m}$</span></td>
</tr> </tr>
<tr> <tr class="even">
<td>temperature to Planck Length</td> <td>temperature to Planck Length</td>
<td><span <td><span
class="math inline"><em>k</em><sub><em>P</em></sub></span></td> class="math inline"><em>k</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$2.501998\times10^{-14} <td><span class="math inline">$2.501998\times10^{-14}
\frac{L}{K}$</span></td> \frac{L}{K}$</span></td>
</tr> </tr>
<tr> <tr class="odd">
<td>charge to Planck Length</td> <td>charge to Planck Length</td>
<td><span <td><span
class="math inline"><em>C</em><sub><em>P</em></sub></span></td> class="math inline"><em>C</em><sub><em>P</em></sub></span></td>
@ -359,7 +316,7 @@ on the the speed of light yields a unit-less number with a value of
<col style="width: 22%" /> <col style="width: 22%" />
</colgroup> </colgroup>
<thead> <thead>
<tr> <tr class="header">
<th>Quantity</th> <th>Quantity</th>
<th>Symbol</th> <th>Symbol</th>
<th>SI</th> <th>SI</th>
@ -367,27 +324,27 @@ on the the speed of light yields a unit-less number with a value of
</tr> </tr>
</thead> </thead>
<tbody> <tbody>
<tr> <tr class="odd">
<td>Speed of Light</td> <td>Speed of Light</td>
<td><span class="math inline"><em>c</em></span></td> <td><span class="math inline"><em>c</em></span></td>
<td><span class="math inline">$299792458 \frac{m}{s}$</span></td> <td><span class="math inline">$299792458 \frac{m}{s}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="even">
<td>Reduced Gravitational Constant</td> <td>Reduced Gravitational Constant</td>
<td><span class="math inline"><em>G</em><sub>0</sub></span></td> <td><span class="math inline"><em>G</em><sub>0</sub></span></td>
<td><span class="math inline">$8.38659\times10^{-10} \frac{m^3}{kg \cdot <td><span class="math inline">$8.38659\times10^{-10} \frac{m^3}{kg \cdot
s^2}$</span></td> s^2}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="odd">
<td>Boltzmann’s Constant</td> <td>Boltzmann’s Constant</td>
<td><span class="math inline"><em>k</em></span></td> <td><span class="math inline"><em>k</em></span></td>
<td><span class="math inline">$k=1.380649\times10^-23 <td><span class="math inline">$k=1.380649\times10^-23
\frac{J}{K}$</span></td> \frac{J}{K}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="even">
<td>Permittivity of Free Space</td> <td>Permittivity of Free Space</td>
<td><span <td><span
class="math inline"><em>ϵ</em><sub><em>o</em></sub></span></td> class="math inline"><em>ϵ</em><sub><em>o</em></sub></span></td>
@ -395,7 +352,7 @@ class="math inline"><em>ϵ</em><sub><em>o</em></sub></span></td>
\frac{C^{2}s^2}{kg \cdot m^3}$</span></td> \frac{C^{2}s^2}{kg \cdot m^3}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="odd">
<td>Permeability of Free Space</td> <td>Permeability of Free Space</td>
<td><span <td><span
class="math inline"><em>μ</em><sub><em>o</em></sub></span></td> class="math inline"><em>μ</em><sub><em>o</em></sub></span></td>
@ -403,14 +360,14 @@ class="math inline"><em>μ</em><sub><em>o</em></sub></span></td>
c^{2}}}$</span></td> c^{2}}}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="even">
<td>Reduced Planck’s Constant</td> <td>Reduced Planck’s Constant</td>
<td><span class="math inline">ℏ</span></td> <td><span class="math inline">ℏ</span></td>
<td><span class="math inline">$1.054571726\times10^-34 \frac{kg \cdot <td><span class="math inline">$1.054571726\times10^-34 \frac{kg \cdot
m^2}{s}$</span></td> m^2}{s}$</span></td>
<td><span class="math inline">1<em>L</em><sup>2</sup></span></td> <td><span class="math inline">1<em>L</em><sup>2</sup></span></td>
</tr> </tr>
<tr> <tr class="odd">
<td>Mass of the Electron</td> <td>Mass of the Electron</td>
<td><span <td><span
class="math inline"><em>m</em><sub><em>e</em></sub></span></td> class="math inline"><em>m</em><sub><em>e</em></sub></span></td>
@ -419,15 +376,15 @@ class="math inline">9.10938 × 10<sup>−31</sup><em>k</em><em>g</em></span>
<td><span <td><span
class="math inline">1.48366 × 10<sup>−22</sup><em>L</em></span></td> class="math inline">1.48366 × 10<sup>−22</sup><em>L</em></span></td>
</tr> </tr>
<tr> <tr class="even">
<td>Charge of the Electron</td> <td>Charge of the Electron</td>
<td><span class="math inline"><em>e</em><sup>−</sup></span></td> <td><span class="math inline"><em>e</em><sup>−</sup></span></td>
<td><span <td><span
class="math inline">−1.60218 × 10<sup>−19</sup><em>C</em></span></td> class="math inline"> − 1.60218 × 10<sup>−19</sup><em>C</em></span></td>
<td><span <td><span
class="math inline">−3.02822 × 10<sup>−1</sup><em>L</em></span></td> class="math inline"> − 3.02822 × 10<sup>−1</sup><em>L</em></span></td>
</tr> </tr>
<tr> <tr class="odd">
<td>Unit Cycle</td> <td>Unit Cycle</td>
<td><span class="math inline"><em>Θ</em></span></td> <td><span class="math inline"><em>Θ</em></span></td>
<td><span <td><span
@ -455,7 +412,7 @@ class="math inline">1 <em>m</em><em>e</em><em>t</em><em>e</em><em>r</em> (<em>
<li><span <li><span
class="math inline">1 <em>k</em><em>i</em><em>l</em><em>o</em><em>m</em><em>e</em><em>t</em><em>e</em><em>r</em> (<em>k</em><em>m</em>) = 1000 <em>m</em><em>e</em><em>t</em><em>e</em><em>r</em><em>s</em> (<em>m</em>)</span></li> class="math inline">1 <em>k</em><em>i</em><em>l</em><em>o</em><em>m</em><em>e</em><em>t</em><em>e</em><em>r</em> (<em>k</em><em>m</em>) = 1000 <em>m</em><em>e</em><em>t</em><em>e</em><em>r</em><em>s</em> (<em>m</em>)</span></li>
<li><span <li><span
class="math inline">1 <em>m</em><em>i</em><em>l</em><em>e</em> = 5280 <em>f</em><em>e</em><em>e</em><em>t</em> (<em>f</em><em>t</em> <em>o</em><em>r</em> <sup>′</sup>)</span></li> class="math inline">1 <em>m</em><em>i</em><em>l</em><em>e</em> = 5280 <em>f</em><em>e</em><em>e</em><em>t</em> (<em>f</em><em>t</em> <em>o</em><em>r</em> ′)</span></li>
<li><span class="math inline">$1\ foot\ (ft\ or\ ') = 12\ inches\ (in\ <li><span class="math inline">$1\ foot\ (ft\ or\ ') = 12\ inches\ (in\
or\ ")$</span></li> or\ ")$</span></li>
<li><span class="math inline">$1\ inch\ (") = 2.54\ centimeters\ <li><span class="math inline">$1\ inch\ (") = 2.54\ centimeters\
@ -537,7 +494,7 @@ the total energy (<span class="math inline"><em>E</em></span>), rest
mass (<span class="math inline"><em>m</em><sub>0</sub></span>) and mass (<span class="math inline"><em>m</em><sub>0</sub></span>) and
momentum (<span class="math inline"><em>p</em></span>) of a system.</p> momentum (<span class="math inline"><em>p</em></span>) of a system.</p>
<p><span <p><span
class="math inline"><em>E</em><sup>2</sup> = (<em>m</em><sub>0</sub> ⋅ <em>c</em><sup>2</sup>)<sup>2</sup> + (<em>p</em> ⋅ <em>c</em>)<sup>2</sup></span></p> class="math inline"><em>E</em><sup>2</sup> = (<em>m</em><sub>0</sub>⋅<em>c</em><sup>2</sup>)<sup>2</sup> + (<em>p</em>⋅<em>c</em>)<sup>2</sup></span></p>
<p>Where space and time are both measure in units of meters, c=1.</p> <p>Where space and time are both measure in units of meters, c=1.</p>
<p><span <p><span
class="math inline"><em>E</em><sup>2</sup> = (<em>m</em><sub>0</sub>)<sup>2</sup> + (<em>p</em>)<sup>2</sup></span></p> class="math inline"><em>E</em><sup>2</sup> = (<em>m</em><sub>0</sub>)<sup>2</sup> + (<em>p</em>)<sup>2</sup></span></p>
@ -702,56 +659,56 @@ class="math inline"><em>M</em><sub><em>P</em></sub></span>:</p>
<col style="width: 40%" /> <col style="width: 40%" />
</colgroup> </colgroup>
<thead> <thead>
<tr> <tr class="header">
<th>Conversion Factor</th> <th>Conversion Factor</th>
<th>Symbol</th> <th>Symbol</th>
<th>Value</th> <th>Value</th>
</tr> </tr>
</thead> </thead>
<tbody> <tbody>
<tr> <tr class="odd">
<td>meters to Planck Length</td> <td>meters to Planck Length</td>
<td><span <td><span
class="math inline"><em>χ</em><sub><em>P</em></sub></span></td> class="math inline"><em>χ</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$1.74542\times10^{34} <td><span class="math inline">$1.74542\times10^{34}
\frac{L}{m}$</span></td> \frac{L}{m}$</span></td>
</tr> </tr>
<tr> <tr class="even">
<td>seconds to Planck Length</td> <td>seconds to Planck Length</td>
<td><span <td><span
class="math inline"><em>τ</em><sub><em>p</em></sub></span></td> class="math inline"><em>τ</em><sub><em>p</em></sub></span></td>
<td><span class="math inline">$5.23264\times10^{42} <td><span class="math inline">$5.23264\times10^{42}
\frac{L}{s}$</span></td> \frac{L}{s}$</span></td>
</tr> </tr>
<tr> <tr class="odd">
<td>mass to Planck Length</td> <td>mass to Planck Length</td>
<td><span <td><span
class="math inline"><em>G</em><sub><em>P</em></sub></span></td> class="math inline"><em>G</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$1.62871\times10^8 <td><span class="math inline">$1.62871\times10^8
\frac{L}{kg}$</span></td> \frac{L}{kg}$</span></td>
</tr> </tr>
<tr> <tr class="even">
<td>energy to Planck Length</td> <td>energy to Planck Length</td>
<td><span <td><span
class="math inline"><em>E</em><sub><em>P</em></sub></span></td> class="math inline"><em>E</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$1.81219\times10^9 <td><span class="math inline">$1.81219\times10^9
\frac{L}{J}$</span></td> \frac{L}{J}$</span></td>
</tr> </tr>
<tr> <tr class="odd">
<td>momentum to Planck Length</td> <td>momentum to Planck Length</td>
<td><span <td><span
class="math inline"><em>P</em><sub><em>P</em></sub></span></td> class="math inline"><em>P</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$5.43280\times10^{-1} \frac{L\cdot s}{kg <td><span class="math inline">$5.43280\times10^{-1} \frac{L\cdot s}{kg
\cdot m}$</span></td> \cdot m}$</span></td>
</tr> </tr>
<tr> <tr class="even">
<td>temperature to Planck Length</td> <td>temperature to Planck Length</td>
<td><span <td><span
class="math inline"><em>k</em><sub><em>P</em></sub></span></td> class="math inline"><em>k</em><sub><em>P</em></sub></span></td>
<td><span class="math inline">$2.501998\times10^{-14} <td><span class="math inline">$2.501998\times10^{-14}
\frac{L}{K}$</span></td> \frac{L}{K}$</span></td>
</tr> </tr>
<tr> <tr class="odd">
<td>charge to Planck Length</td> <td>charge to Planck Length</td>
<td><span <td><span
class="math inline"><em>C</em><sub><em>P</em></sub></span></td> class="math inline"><em>C</em><sub><em>P</em></sub></span></td>
@ -771,7 +728,7 @@ class="math inline">$c=\frac{1}{\sqrt{\epsilon_o \mu_o}}$</span></p>
<col style="width: 30%" /> <col style="width: 30%" />
</colgroup> </colgroup>
<thead> <thead>
<tr> <tr class="header">
<th>Quantity</th> <th>Quantity</th>
<th>Symbol</th> <th>Symbol</th>
<th>SI</th> <th>SI</th>
@ -779,27 +736,27 @@ class="math inline">$c=\frac{1}{\sqrt{\epsilon_o \mu_o}}$</span></p>
</tr> </tr>
</thead> </thead>
<tbody> <tbody>
<tr> <tr class="odd">
<td>Speed of Light</td> <td>Speed of Light</td>
<td><span class="math inline"><em>c</em></span></td> <td><span class="math inline"><em>c</em></span></td>
<td><span class="math inline">$299792458 \frac{m}{s}$</span></td> <td><span class="math inline">$299792458 \frac{m}{s}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="even">
<td>Gravitational Constant</td> <td>Gravitational Constant</td>
<td><span class="math inline"><em>G</em><sub>0</sub></span></td> <td><span class="math inline"><em>G</em><sub>0</sub></span></td>
<td><span class="math inline">$8.38659\times10^{-10} \frac{m^3}{kg \cdot <td><span class="math inline">$8.38659\times10^{-10} \frac{m^3}{kg \cdot
s^2}$</span></td> s^2}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="odd">
<td>Boltzmann’s Constant</td> <td>Boltzmann’s Constant</td>
<td><span class="math inline"><em>k</em></span></td> <td><span class="math inline"><em>k</em></span></td>
<td><span class="math inline">$k=1.380649\times10^-23 <td><span class="math inline">$k=1.380649\times10^-23
\frac{J}{K}$</span></td> \frac{J}{K}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="even">
<td>Permittivity of Free Space</td> <td>Permittivity of Free Space</td>
<td><span <td><span
class="math inline"><em>ϵ</em><sub><em>o</em></sub></span></td> class="math inline"><em>ϵ</em><sub><em>o</em></sub></span></td>
@ -807,7 +764,7 @@ class="math inline"><em>ϵ</em><sub><em>o</em></sub></span></td>
\frac{C^{2}s^2}{kg \cdot m^3}$</span></td> \frac{C^{2}s^2}{kg \cdot m^3}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="odd">
<td>Permeability of Free Space</td> <td>Permeability of Free Space</td>
<td><span <td><span
class="math inline"><em>μ</em><sub><em>o</em></sub></span></td> class="math inline"><em>μ</em><sub><em>o</em></sub></span></td>
@ -815,14 +772,14 @@ class="math inline"><em>μ</em><sub><em>o</em></sub></span></td>
c^{2}}}$</span></td> c^{2}}}$</span></td>
<td>1</td> <td>1</td>
</tr> </tr>
<tr> <tr class="even">
<td>Planck’s Constant</td> <td>Planck’s Constant</td>
<td><span class="math inline">ℏ</span></td> <td><span class="math inline">ℏ</span></td>
<td><span class="math inline">$1.054571726\times10^-34 \frac{kg \cdot <td><span class="math inline">$1.054571726\times10^-34 \frac{kg \cdot
m^2}{s}$</span></td> m^2}{s}$</span></td>
<td><span class="math inline">1<em>L</em><sup>2</sup></span></td> <td><span class="math inline">1<em>L</em><sup>2</sup></span></td>
</tr> </tr>
<tr> <tr class="odd">
<td>Mass of the Electron</td> <td>Mass of the Electron</td>
<td><span <td><span
class="math inline"><em>m</em><sub><em>e</em></sub></span></td> class="math inline"><em>m</em><sub><em>e</em></sub></span></td>
@ -831,13 +788,13 @@ class="math inline">9.10938 × 10<sup>−31</sup><em>k</em><em>g</em></span>
<td><span <td><span
class="math inline">1.48366 × 10<sup>−22</sup><em>L</em></span></td> class="math inline">1.48366 × 10<sup>−22</sup><em>L</em></span></td>
</tr> </tr>
<tr> <tr class="even">
<td>Charge of the Electron</td> <td>Charge of the Electron</td>
<td><span class="math inline"><em>e</em><sup>−</sup></span></td> <td><span class="math inline"><em>e</em><sup>−</sup></span></td>
<td><span <td><span
class="math inline">−1.60218 × 10<sup>−19</sup><em>C</em></span></td> class="math inline"> − 1.60218 × 10<sup>−19</sup><em>C</em></span></td>
<td><span <td><span
class="math inline">−3.02822 × 10<sup>−1</sup><em>L</em></span></td> class="math inline"> − 3.02822 × 10<sup>−1</sup><em>L</em></span></td>
</tr> </tr>
</tbody> </tbody>
</table> </table>
@ -935,13 +892,6 @@ Rν √ℏ = (5.72928e-35)*m
si lP = (1.61620e-35)*sqrt(m^2) si lP = (1.61620e-35)*sqrt(m^2)
Rν lP = (2.77455e-47)*sqrt(m^3/kg)</code></pre> Rν lP = (2.77455e-47)*sqrt(m^3/kg)</code></pre>
<h1 id="terminology">Terminology</h1> <h1 id="terminology">Terminology</h1>
<h1 class="unnumbered" id="citations">Citations</h1> <h1 id="citations">Citations</h1>
<div id="refs" class="references csl-bib-body hanging-indent"
role="list">
<div id="ref-IsaacNewtonLetter" class="csl-entry" role="listitem">
<span>“Isaac <span>Newton</span> Letter to <span>Robert Hooke</span>,
1675.”</span> n.d.
</div>
</div>
</body> </body>
</html> </html>

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

2
chapters/00_Introduction.md
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@ -3,7 +3,7 @@
> “*If I have seen further it is by standing on the shoulders of Giants.*” > “*If I have seen further it is by standing on the shoulders of Giants.*”
> >
> -- Isaac Newton [@IsaacNewtonLetter] > -- Isaac Newton
## Conventions ## Conventions

2
chapters/01_Chapter1.md
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@ -1,3 +1,3 @@
# Chapter 1 # Best Words Ever
Blah blah blah Blah blah blah

2
conf/epub.yaml
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@ -1,6 +1,6 @@
from: markdown from: markdown
to: epub to: epub
output-file: build/Paths-to-Perception.epub output-file: build/b3.epub
metadata: metadata:
title: "Big Beautiful Book" title: "Big Beautiful Book"

4
conf/pandoc.yaml
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@ -11,8 +11,8 @@ standalone: true
metadata: metadata:
mainfont: "Libertinus Serif" mainfont: "Linux Libertine O"
sansfont: "Libertinus Sans" sansfont: "Linux Biolinum O"
monofont: "DejaVu Sans Mono" monofont: "DejaVu Sans Mono"
date: "" # <-- forces maketitle to exist, but blank date: "" # <-- forces maketitle to exist, but blank
link-citations: true link-citations: true