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A possible theory on observable time
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<blockquote data-quote="Harte" data-source="post: 191179" data-attributes="member: 443"><p>Take a look at the Lorentz factor, which appears in all The Special Relativity equations:</p><p>[ATTACH=full]8862[/ATTACH]</p><p>See what happens to the term on the right when v gets close to c? That fraction approaches the value of 1.</p><p>We know that 1-1=0</p><p>This results in the Lorentz factor becoming equal to zero.</p><p>In the length equation I posted, that would mean the observable length would be zero,</p><p>That's length in the direction of travel, by the way.</p><p></p><p>If length becomes zero, the universe becomes a 2 dimensional plane when you hit c. But you remain 3 dimensional.</p><p>You are outside the universe then.</p><p></p><p>In the time dilation equation:</p><p>[ATTACH=full]8863[/ATTACH]</p><p>the Lorentz factor also becomes zero when v=c (you're at the speed of light.) But this time, it's in the denominator.</p><p>Dividing by zero is undefined. But we CAN see what happens as the Lorentz factor <strong>approaches</strong> zero.</p><p>First, you should note that the Lorentz factor itself has a maximum value of 1. That would be when you have no velocity (v=0.)</p><p>At that point t'=t.</p><p>In this equation, as the Lorentz factor (denominator) gets smaller and smaller the value of t' increases.</p><p>It's hard to write this arithmetic lesson in this editor, but let's let t equal 1, and let the velocity increase.</p><p></p><p>As v increases, the denominator decreases. Remember the Lorentz factor starts at a value of 1 and can only go down from there.</p><p></p><p>Once the Lorentz factor becomes equal to 1/2, the value of t' is 1 divided by 1/2, or 2.</p><p></p><p>When the Lorentz factor reaches a value of, say, 1/10000, the value of t' has increased to 10,000 (meaning for each day on the ship, 10,000 days have passed on earth.</p><p></p><p>You can take it from there.</p><p></p><p>Harte</p><p></p><p>Edit: Take special note that, if v is greater than c (meaning your velocity is greater than light) then the Lorentz factor become the square root of a negative number. That's not a problem at all mathematically. Such numbers are called <em>imaginary</em> numbers in Math, and a combination of real numbers and imaginary numbers is called a <em>complex</em> number.</p><p>There is an entire field of mathematics that deals with these numbers.</p><p></p><p>But if you graph a complex number, you have to use a plane to put your points on that doesn't correspond with our reality in any physical way.</p><p>Therein lies the disconnection with our universe when you cross the speed limit c.</p><p></p><p>H</p></blockquote><p></p>
[QUOTE="Harte, post: 191179, member: 443"] Take a look at the Lorentz factor, which appears in all The Special Relativity equations: [ATTACH type="full" alt="8862"]8862[/ATTACH] See what happens to the term on the right when v gets close to c? That fraction approaches the value of 1. We know that 1-1=0 This results in the Lorentz factor becoming equal to zero. In the length equation I posted, that would mean the observable length would be zero, That's length in the direction of travel, by the way. If length becomes zero, the universe becomes a 2 dimensional plane when you hit c. But you remain 3 dimensional. You are outside the universe then. In the time dilation equation: [ATTACH type="full" alt="8863"]8863[/ATTACH] the Lorentz factor also becomes zero when v=c (you're at the speed of light.) But this time, it's in the denominator. Dividing by zero is undefined. But we CAN see what happens as the Lorentz factor [B]approaches[/B] zero. First, you should note that the Lorentz factor itself has a maximum value of 1. That would be when you have no velocity (v=0.) At that point t'=t. In this equation, as the Lorentz factor (denominator) gets smaller and smaller the value of t' increases. It's hard to write this arithmetic lesson in this editor, but let's let t equal 1, and let the velocity increase. As v increases, the denominator decreases. Remember the Lorentz factor starts at a value of 1 and can only go down from there. Once the Lorentz factor becomes equal to 1/2, the value of t' is 1 divided by 1/2, or 2. When the Lorentz factor reaches a value of, say, 1/10000, the value of t' has increased to 10,000 (meaning for each day on the ship, 10,000 days have passed on earth. You can take it from there. Harte Edit: Take special note that, if v is greater than c (meaning your velocity is greater than light) then the Lorentz factor become the square root of a negative number. That's not a problem at all mathematically. Such numbers are called [I]imaginary[/I] numbers in Math, and a combination of real numbers and imaginary numbers is called a [I]complex[/I] number. There is an entire field of mathematics that deals with these numbers. But if you graph a complex number, you have to use a plane to put your points on that doesn't correspond with our reality in any physical way. Therein lies the disconnection with our universe when you cross the speed limit c. H [/QUOTE]
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