Testing Build Env
This commit is contained in:
John Haverlack
parent
629308b296
commit
657ca6a2ab
|
|
@ -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",
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
||||
|
|
|
|||
Binary file not shown.
182
build/b3.html
182
build/b3.html
|
|
@ -6,26 +6,12 @@
|
|||
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes" />
|
||||
<title>00_Introduction</title>
|
||||
<style>
|
||||
/* Default styles provided by pandoc.
|
||||
** See https://pandoc.org/MANUAL.html#variables-for-html for config info.
|
||||
*/
|
||||
code{white-space: pre-wrap;}
|
||||
span.smallcaps{font-variant: small-caps;}
|
||||
div.columns{display: flex; gap: min(4vw, 1.5em);}
|
||||
div.column{flex: auto; overflow-x: auto;}
|
||||
span.underline{text-decoration: underline;}
|
||||
div.column{display: inline-block; vertical-align: top; width: 50%;}
|
||||
div.hanging-indent{margin-left: 1.5em; text-indent: -1.5em;}
|
||||
/* The extra [class] is a hack that increases specificity enough to
|
||||
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%; }
|
||||
ul.task-list{list-style: none;}
|
||||
pre > code.sourceCode { white-space: pre; position: relative; }
|
||||
pre > code.sourceCode > span { display: inline-block; line-height: 1.25; }
|
||||
pre > code.sourceCode > span:empty { height: 1.2em; }
|
||||
|
|
@ -89,26 +75,8 @@
|
|||
code span.va { color: #19177c; } /* Variable */
|
||||
code span.vs { color: #4070a0; } /* VerbatimString */
|
||||
code span.wa { color: #60a0b0; font-weight: bold; font-style: italic; } /* Warning */
|
||||
/* CSS for citations */
|
||||
div.csl-bib-body { }
|
||||
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>
|
||||
.display.math{display: block; text-align: center; margin: 0.5rem auto;}
|
||||
</style>
|
||||
<link rel="stylesheet" href="conf/style.css" />
|
||||
</head>
|
||||
<body>
|
||||
|
|
@ -184,50 +152,39 @@ window.MathJax = {
|
|||
<nav id="TOC" role="doc-toc">
|
||||
<h2 id="toc-title">Contents</h2>
|
||||
<ul>
|
||||
<li><a href="#introduction" id="toc-introduction">Introduction</a>
|
||||
<li><a href="#introduction">Introduction</a>
|
||||
<ul>
|
||||
<li><a href="#conventions" id="toc-conventions">Conventions</a>
|
||||
<li><a href="#conventions">Conventions</a>
|
||||
<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>
|
||||
<li><a href="#chapter-1" id="toc-chapter-1">Chapter 1</a></li>
|
||||
<li><a href="#example-content" id="toc-example-content">Example
|
||||
Content</a>
|
||||
<li><a href="#best-words-ever">Best Words Ever</a></li>
|
||||
<li><a href="#example-content">Example Content</a>
|
||||
<ul>
|
||||
<li><a href="#si-conversion-factors" id="toc-si-conversion-factors">SI
|
||||
Conversion Factors</a></li>
|
||||
<li><a href="#physical-constants" id="toc-physical-constants">Physical
|
||||
Constants</a></li>
|
||||
<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>
|
||||
<li><a href="#si-conversion-factors">SI Conversion Factors</a></li>
|
||||
<li><a href="#physical-constants">Physical Constants</a></li>
|
||||
<li><a href="#fine-structure-constant">Fine Structure Constant</a></li>
|
||||
<li><a href="#newtons-law-of-gravity">Newton’s Law of Gravity</a>
|
||||
<ul>
|
||||
<li><a href="#relativistic-energy-momentum-relation"
|
||||
id="toc-relativistic-energy-momentum-relation">Relativistic Energy
|
||||
<li><a href="#relativistic-energy-momentum-relation">Relativistic Energy
|
||||
Momentum Relation</a></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>
|
||||
<li><a href="#planck-length" id="toc-planck-length">Planck
|
||||
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>
|
||||
<li><a href="#sage-code">Sage Code</a></li>
|
||||
</ul></li>
|
||||
<li><a href="#terminology" id="toc-terminology">Terminology</a></li>
|
||||
<li><a href="#citations" id="toc-citations">Citations</a></li>
|
||||
<li><a href="#terminology">Terminology</a></li>
|
||||
<li><a href="#citations">Citations</a></li>
|
||||
</ul>
|
||||
</nav>
|
||||
<h1 id="introduction">Introduction</h1>
|
||||
<blockquote>
|
||||
<p>“<em>If I have seen further it is by standing on the shoulders of
|
||||
Giants.</em>”</p>
|
||||
<p>– Isaac Newton <span class="citation"
|
||||
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>
|
||||
<p>– Isaac Newton</p>
|
||||
</blockquote>
|
||||
<h2 id="conventions">Conventions</h2>
|
||||
<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">
|
||||
<p><strong>Established Concept</strong></p>
|
||||
<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>
|
||||
<p>New ideas proposed by the author which have not been peer reviewed,
|
||||
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 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>
|
||||
<h1 id="chapter-1">Chapter 1</h1>
|
||||
<h1 id="best-words-ever">Best Words Ever</h1>
|
||||
<p>Blah blah blah</p>
|
||||
<h1 id="example-content">Example Content</h1>
|
||||
<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%" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<tr class="header">
|
||||
<th>Conversion Factor</th>
|
||||
<th>Symbol</th>
|
||||
<th>Value</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>meters to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>χ</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$1.74542\times10^{34}
|
||||
\frac{L}{m}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>seconds to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>τ</em><sub><em>p</em></sub></span></td>
|
||||
<td><span class="math inline">$5.23264\times10^{42}
|
||||
\frac{L}{s}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>mass to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>G</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$1.62871\times10^8
|
||||
\frac{L}{kg}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>energy to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>E</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$1.81219\times10^9
|
||||
\frac{L}{J}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>momentum to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>P</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$5.43280\times10^{-1} \frac{L\cdot s}{kg
|
||||
\cdot m}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>temperature to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>k</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$2.501998\times10^{-14}
|
||||
\frac{L}{K}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>charge to Planck Length</td>
|
||||
<td><span
|
||||
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%" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<tr class="header">
|
||||
<th>Quantity</th>
|
||||
<th>Symbol</th>
|
||||
<th>SI</th>
|
||||
|
|
@ -367,27 +324,27 @@ on the the speed of light yields a unit-less number with a value of
|
|||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>Speed of Light</td>
|
||||
<td><span class="math inline"><em>c</em></span></td>
|
||||
<td><span class="math inline">$299792458 \frac{m}{s}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>Reduced Gravitational Constant</td>
|
||||
<td><span class="math inline"><em>G</em><sub>0</sub></span></td>
|
||||
<td><span class="math inline">$8.38659\times10^{-10} \frac{m^3}{kg \cdot
|
||||
s^2}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>Boltzmann’s Constant</td>
|
||||
<td><span class="math inline"><em>k</em></span></td>
|
||||
<td><span class="math inline">$k=1.380649\times10^-23
|
||||
\frac{J}{K}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>Permittivity of Free Space</td>
|
||||
<td><span
|
||||
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}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>Permeability of Free Space</td>
|
||||
<td><span
|
||||
class="math inline"><em>μ</em><sub><em>o</em></sub></span></td>
|
||||
|
|
@ -403,14 +360,14 @@ class="math inline"><em>μ</em><sub><em>o</em></sub></span></td>
|
|||
c^{2}}}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>Reduced Planck’s Constant</td>
|
||||
<td><span class="math inline">ℏ</span></td>
|
||||
<td><span class="math inline">$1.054571726\times10^-34 \frac{kg \cdot
|
||||
m^2}{s}$</span></td>
|
||||
<td><span class="math inline">1<em>L</em><sup>2</sup></span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>Mass of the Electron</td>
|
||||
<td><span
|
||||
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
|
||||
class="math inline">1.48366 × 10<sup>−22</sup><em>L</em></span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>Charge of the Electron</td>
|
||||
<td><span class="math inline"><em>e</em><sup>−</sup></span></td>
|
||||
<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
|
||||
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 class="odd">
|
||||
<td>Unit Cycle</td>
|
||||
<td><span class="math inline"><em>Θ</em></span></td>
|
||||
<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
|
||||
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
|
||||
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">$1\ foot\ (ft\ or\ ') = 12\ inches\ (in\
|
||||
or\ ")$</span></li>
|
||||
<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
|
||||
momentum (<span class="math inline"><em>p</em></span>) of a system.</p>
|
||||
<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><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>
|
||||
|
|
@ -702,56 +659,56 @@ class="math inline"><em>M</em><sub><em>P</em></sub></span>:</p>
|
|||
<col style="width: 40%" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<tr class="header">
|
||||
<th>Conversion Factor</th>
|
||||
<th>Symbol</th>
|
||||
<th>Value</th>
|
||||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>meters to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>χ</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$1.74542\times10^{34}
|
||||
\frac{L}{m}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>seconds to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>τ</em><sub><em>p</em></sub></span></td>
|
||||
<td><span class="math inline">$5.23264\times10^{42}
|
||||
\frac{L}{s}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>mass to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>G</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$1.62871\times10^8
|
||||
\frac{L}{kg}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>energy to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>E</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$1.81219\times10^9
|
||||
\frac{L}{J}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>momentum to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>P</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$5.43280\times10^{-1} \frac{L\cdot s}{kg
|
||||
\cdot m}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>temperature to Planck Length</td>
|
||||
<td><span
|
||||
class="math inline"><em>k</em><sub><em>P</em></sub></span></td>
|
||||
<td><span class="math inline">$2.501998\times10^{-14}
|
||||
\frac{L}{K}$</span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>charge to Planck Length</td>
|
||||
<td><span
|
||||
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%" />
|
||||
</colgroup>
|
||||
<thead>
|
||||
<tr>
|
||||
<tr class="header">
|
||||
<th>Quantity</th>
|
||||
<th>Symbol</th>
|
||||
<th>SI</th>
|
||||
|
|
@ -779,27 +736,27 @@ class="math inline">$c=\frac{1}{\sqrt{\epsilon_o \mu_o}}$</span></p>
|
|||
</tr>
|
||||
</thead>
|
||||
<tbody>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>Speed of Light</td>
|
||||
<td><span class="math inline"><em>c</em></span></td>
|
||||
<td><span class="math inline">$299792458 \frac{m}{s}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>Gravitational Constant</td>
|
||||
<td><span class="math inline"><em>G</em><sub>0</sub></span></td>
|
||||
<td><span class="math inline">$8.38659\times10^{-10} \frac{m^3}{kg \cdot
|
||||
s^2}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>Boltzmann’s Constant</td>
|
||||
<td><span class="math inline"><em>k</em></span></td>
|
||||
<td><span class="math inline">$k=1.380649\times10^-23
|
||||
\frac{J}{K}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>Permittivity of Free Space</td>
|
||||
<td><span
|
||||
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}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>Permeability of Free Space</td>
|
||||
<td><span
|
||||
class="math inline"><em>μ</em><sub><em>o</em></sub></span></td>
|
||||
|
|
@ -815,14 +772,14 @@ class="math inline"><em>μ</em><sub><em>o</em></sub></span></td>
|
|||
c^{2}}}$</span></td>
|
||||
<td>1</td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>Planck’s Constant</td>
|
||||
<td><span class="math inline">ℏ</span></td>
|
||||
<td><span class="math inline">$1.054571726\times10^-34 \frac{kg \cdot
|
||||
m^2}{s}$</span></td>
|
||||
<td><span class="math inline">1<em>L</em><sup>2</sup></span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="odd">
|
||||
<td>Mass of the Electron</td>
|
||||
<td><span
|
||||
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
|
||||
class="math inline">1.48366 × 10<sup>−22</sup><em>L</em></span></td>
|
||||
</tr>
|
||||
<tr>
|
||||
<tr class="even">
|
||||
<td>Charge of the Electron</td>
|
||||
<td><span class="math inline"><em>e</em><sup>−</sup></span></td>
|
||||
<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
|
||||
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>
|
||||
</tbody>
|
||||
</table>
|
||||
|
|
@ -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)</code></pre>
|
||||
<h1 id="terminology">Terminology</h1>
|
||||
<h1 class="unnumbered" 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>
|
||||
<h1 id="citations">Citations</h1>
|
||||
</body>
|
||||
</html>
|
||||
|
|
|
|||
BIN
build/b3.pdf
BIN
build/b3.pdf
Binary file not shown.
234
build/b3.tex
234
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}
|
||||
|
|
|
|||
|
|
@ -3,7 +3,7 @@
|
|||
|
||||
> “*If I have seen further it is by standing on the shoulders of Giants.*”
|
||||
>
|
||||
> -- Isaac Newton [@IsaacNewtonLetter]
|
||||
> -- Isaac Newton
|
||||
|
||||
## Conventions
|
||||
|
||||
|
|
|
|||
|
|
@ -1,3 +1,3 @@
|
|||
# Chapter 1
|
||||
# Best Words Ever
|
||||
|
||||
Blah blah blah
|
||||
|
|
|
|||
|
|
@ -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"
|
||||
|
|
|
|||
|
|
@ -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
|
||||
|
|
|
|||
Loading…
Reference in New Issue