<div dir="ltr"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif"><span style="font-family:arial,sans-serif">On Sun, Dec 11, 2016 at 4:25 PM, Stuart LaForge </span><span dir="ltr" style="font-family:arial,sans-serif"><<a href="mailto:avant@sollegro.com" target="_blank">avant@sollegro.com</a>></span><span style="font-family:arial,sans-serif"> wrote:</span><br></div><div class="gmail_extra"><div class="gmail_quote"> <br></div><div class="gmail_quote"><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">> </div>The Beckenstein Limit is the<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> </div>maximum amount of information you can pack into a given mass-energy<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> </div>embedded in a given volume of space. It is given by the following formula:<br></blockquote><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"> </blockquote><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">I <= K*M*R<br></blockquote><blockquote class="gmail_quote" style="margin:0px 0px 0px 0.8ex;border-left-width:1px;border-left-color:rgb(204,204,204);border-left-style:solid;padding-left:1ex"> </blockquote><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex">"I" is the information in bits, M is the mass in kg, R is the radius in<br>
meters, and K is a constant</blockquote><div><br></div><div><font size="4"><div class="gmail_default" style="display:inline"><font face="arial, helvetica, sans-serif"></font></div>Yes but if we're talking about the maximum about of information that can fit inside a sphere then we already know what M must be in the above formula, it's the amount of matter needed to form a Black Hole of radius R, and the formula for that is<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> </div>M= c^2/2G *R<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> </div>,<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> </div>where G is the gravitation constant and c is the speed of light that is also a constant<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">. S</div>tick<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">ing</div> the two formulas together and you get<br>I = (a constant) * R^2. </font></div><div><span style="font-family:arial,helvetica,sans-serif;font-size:large"><br></span></div><div><span style="font-family:arial,helvetica,sans-serif;font-size:large"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">So t</div>he maximum information inside a sphere is proportional to the sphere's surface area not its volume.<div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> So the information isn't really in the sphere it's on the sphere. </div></span><span style="font-family:arial,helvetica,sans-serif;font-size:large">It almost make me think that one of our 3 dimensions <div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline">is</div> phony. </span></div><div><font size="4"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"><br></div></font></div><div><font size="4"><div class="gmail_default" style="font-family:arial,helvetica,sans-serif;display:inline"> John K Clark </div> </font></div><div><br></div><div><br></div><div><br></div></div></div></div>