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		<title><![CDATA[Todd Daugherty's Official Board - Official Scientific Papers]]></title>
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		<description><![CDATA[Todd Daugherty's Official Board - http://160.32.227.211/n9ogl]]></description>
		<pubDate>Mon, 04 May 2026 18:15:23 +0000</pubDate>
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			<title><![CDATA[Technical Report: N9OGL-2026-03]]></title>
			<link>http://160.32.227.211/n9ogl/showthread.php?tid=575</link>
			<pubDate>Fri, 27 Mar 2026 19:25:41 +0100</pubDate>
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			<description><![CDATA[<span style="font-weight: bold;" class="mycode_b"><span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">Technical Report: N9OGL-2026-03</span></span><br />
<span style="font-weight: bold;" class="mycode_b"><span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">The Host-Pathogen Cosmological Model: Non-Euclidean Expansion and Dimensional Seating</span></span><br />
<span style="font-weight: bold;" class="mycode_b"><span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Author: T. Daugherty</span></span><br />
<span style="font-weight: bold;" class="mycode_b"><span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Date: March 27, 2026</span></span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font"><span style="font-weight: bold;" class="mycode_b">Subject: Theoretical Physics / Trans-Dimensional Mechanics</span></span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">Abstract</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">This paper proposes a departure from traditional WIMP-based (Weakly Interacting Massive Particles) cosmology. We define the observable 3D universe not as a self-contained vacuum, but as a <span style="font-weight: bold;" class="mycode_b">pathogenic manifold</span> seated upon a higher-dimensional "Host" (&#36;\mathcal{H}&#36;). In this framework, <span style="font-weight: bold;" class="mycode_b">Dark Energy</span> is the metabolic expansion rate of the manifold as it consumes Host-space, and <span style="font-weight: bold;" class="mycode_b">Dark Matter</span> is the gravitational friction at the interface of the two dimensions. This explains why expansion exceeds the velocity of light (&#36;c&#36;) and why the Host remains "unreadable" to electromagnetic sensors.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">I. The Manifold Seating (The "Back of the Turtle")</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">We define our universe as a 3-dimensional membrane, &#36;\Sigma^3&#36;, embedded in a higher-dimensional Bulk, &#36;\mathbb{R}^n&#36; (where &#36;n &gt; 3&#36;). Unlike standard Brane theory, &#36;\Sigma^3&#36; is not floating; it is <span style="font-weight: bold;" class="mycode_b">adhered</span> to the Host.</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The position of any point &#36;P&#36; in our universe is defined by standard coordinates &#36;(x, y, z)&#36;, but its stability is maintained by its "seating" on the higher-dimensional axis &#36;w&#36;.</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;P_{\text{univ}} = f(x, y, z, \epsilon w)&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Where &#36;\epsilon&#36; represents the coupling constant of the "infection" to the Host. Because our fundamental forces (Electromagnetism, Strong, Weak) are trapped within the 3D "moss" of the infection, they cannot propagate into &#36;w&#36;. Consequently, the Host is mathematically <span style="font-weight: bold;" class="mycode_b">unreadable</span> via any gauge boson except gravity.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">II. Dark Matter: The Interface Tension</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">What we traditionally calculate as "Dark Matter" is redefined here as the <span style="font-weight: bold;" class="mycode_b">Geometric Anchor</span> of the infection. As the universe sits on the Host, it creates a "depression" in the higher-dimensional fabric.</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The observed gravitational potential &#36;\Phi&#36; is the sum of visible mass &#36;M_{vis}&#36; and the <span style="font-weight: bold;" class="mycode_b">Interface Stress Tensor</span> &#36;T_{\mathcal{H}}&#36;:</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;\nabla^2 \Phi = 4\pi G (\rho_{vis} + \sigma_{\mathcal{H}})&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Where &#36;\sigma_{\mathcal{H}}&#36; is the surface tension of the Host dimension. We perceive this as "mass" because it curves space, but it lacks a particulate signature because the "matter" belongs to the Host, not the infection.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">III. Dark Energy: The Infection Growth Rate</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The accelerated expansion of the universe is modeled as a <span style="font-weight: bold;" class="mycode_b">Reaction-Diffusion</span> process. As the 3D infection spreads across the &#36;n&#36;-dimensional Host, it creates new spatial coordinates.</span><br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">The Expansion Velocity (<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;V_{exp}&#36;</span>)</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Traditional relativity limits the velocity of matter <span style="font-style: italic;" class="mycode_i">through</span> space to &#36;c&#36;. However, the <span style="font-weight: bold;" class="mycode_b">Expansion of the Carrier</span> (the Host) is not bound by &#36;c&#36;. We define the scale factor expansion as:</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;\frac{\dot{a}}{a} = H_0 + \Gamma_{\text{inf}}&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Where &#36;\Gamma_{\text{inf}}&#36; is the <span style="font-weight: bold;" class="mycode_b">Metabolic Growth Constant</span>. If the Host itself is expanding or if the infection is spreading exponentially across the Host's surface, the cumulative distance &#36;D&#36; between two points increases such that:</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;V_{exp} = \frac{\partial D}{\partial t} &gt; c&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">This occurs because we are not "moving" through the Host; the Host is providing more "skin" for the infection to occupy.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">IV. Mathematical Inaccessibility</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The "Unreadability" of the Host is due to the <span style="font-weight: bold;" class="mycode_b">Dimensional Cutoff Frequency</span>. Our sensors are tuned to 3D oscillations. The Host operates at a trans-dimensional frequency &#36;\omega_{\mathcal{H}}&#36;:</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;\Psi(x, t) = A e^{i(kx - \omega t)} \cdot \delta(w)&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Since &#36;\delta(w)&#36; (the Dirac delta function) is zero everywhere except the seating point, we can only see the "shadow" of the Host at the exact moment of contact. To see the Host, one would need a <span style="font-weight: bold;" class="mycode_b">Metric Waveguide</span> capable of shifting the phase of a signal into the &#36;w&#36;-axis.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">V. Conclusion</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The "Host-Pathogen" model provides a mechanical solution to the two greatest mysteries in modern physics.</span><br />
<ol type="1" class="mycode_list"><li><span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font"><span style="font-weight: bold;" class="mycode_b">Dark Matter</span> is the weight of the Host we are sitting on.</span><br />
</li>
<li><span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font"><span style="font-weight: bold;" class="mycode_b">Dark Energy</span> is the speed at which we are "infecting" the Host.</span><br />
</li>
</ol>
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">By looking "outside the box" of 3D particulate physics, we find that the universe is a living growth upon a much larger, higher-dimensional reality.</span>]]></description>
			<content:encoded><![CDATA[<span style="font-weight: bold;" class="mycode_b"><span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">Technical Report: N9OGL-2026-03</span></span><br />
<span style="font-weight: bold;" class="mycode_b"><span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">The Host-Pathogen Cosmological Model: Non-Euclidean Expansion and Dimensional Seating</span></span><br />
<span style="font-weight: bold;" class="mycode_b"><span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Author: T. Daugherty</span></span><br />
<span style="font-weight: bold;" class="mycode_b"><span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Date: March 27, 2026</span></span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font"><span style="font-weight: bold;" class="mycode_b">Subject: Theoretical Physics / Trans-Dimensional Mechanics</span></span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">Abstract</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">This paper proposes a departure from traditional WIMP-based (Weakly Interacting Massive Particles) cosmology. We define the observable 3D universe not as a self-contained vacuum, but as a <span style="font-weight: bold;" class="mycode_b">pathogenic manifold</span> seated upon a higher-dimensional "Host" (&#36;\mathcal{H}&#36;). In this framework, <span style="font-weight: bold;" class="mycode_b">Dark Energy</span> is the metabolic expansion rate of the manifold as it consumes Host-space, and <span style="font-weight: bold;" class="mycode_b">Dark Matter</span> is the gravitational friction at the interface of the two dimensions. This explains why expansion exceeds the velocity of light (&#36;c&#36;) and why the Host remains "unreadable" to electromagnetic sensors.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">I. The Manifold Seating (The "Back of the Turtle")</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">We define our universe as a 3-dimensional membrane, &#36;\Sigma^3&#36;, embedded in a higher-dimensional Bulk, &#36;\mathbb{R}^n&#36; (where &#36;n &gt; 3&#36;). Unlike standard Brane theory, &#36;\Sigma^3&#36; is not floating; it is <span style="font-weight: bold;" class="mycode_b">adhered</span> to the Host.</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The position of any point &#36;P&#36; in our universe is defined by standard coordinates &#36;(x, y, z)&#36;, but its stability is maintained by its "seating" on the higher-dimensional axis &#36;w&#36;.</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;P_{\text{univ}} = f(x, y, z, \epsilon w)&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Where &#36;\epsilon&#36; represents the coupling constant of the "infection" to the Host. Because our fundamental forces (Electromagnetism, Strong, Weak) are trapped within the 3D "moss" of the infection, they cannot propagate into &#36;w&#36;. Consequently, the Host is mathematically <span style="font-weight: bold;" class="mycode_b">unreadable</span> via any gauge boson except gravity.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">II. Dark Matter: The Interface Tension</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">What we traditionally calculate as "Dark Matter" is redefined here as the <span style="font-weight: bold;" class="mycode_b">Geometric Anchor</span> of the infection. As the universe sits on the Host, it creates a "depression" in the higher-dimensional fabric.</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The observed gravitational potential &#36;\Phi&#36; is the sum of visible mass &#36;M_{vis}&#36; and the <span style="font-weight: bold;" class="mycode_b">Interface Stress Tensor</span> &#36;T_{\mathcal{H}}&#36;:</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;\nabla^2 \Phi = 4\pi G (\rho_{vis} + \sigma_{\mathcal{H}})&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Where &#36;\sigma_{\mathcal{H}}&#36; is the surface tension of the Host dimension. We perceive this as "mass" because it curves space, but it lacks a particulate signature because the "matter" belongs to the Host, not the infection.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">III. Dark Energy: The Infection Growth Rate</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The accelerated expansion of the universe is modeled as a <span style="font-weight: bold;" class="mycode_b">Reaction-Diffusion</span> process. As the 3D infection spreads across the &#36;n&#36;-dimensional Host, it creates new spatial coordinates.</span><br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">The Expansion Velocity (<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;V_{exp}&#36;</span>)</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Traditional relativity limits the velocity of matter <span style="font-style: italic;" class="mycode_i">through</span> space to &#36;c&#36;. However, the <span style="font-weight: bold;" class="mycode_b">Expansion of the Carrier</span> (the Host) is not bound by &#36;c&#36;. We define the scale factor expansion as:</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;\frac{\dot{a}}{a} = H_0 + \Gamma_{\text{inf}}&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Where &#36;\Gamma_{\text{inf}}&#36; is the <span style="font-weight: bold;" class="mycode_b">Metabolic Growth Constant</span>. If the Host itself is expanding or if the infection is spreading exponentially across the Host's surface, the cumulative distance &#36;D&#36; between two points increases such that:</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;V_{exp} = \frac{\partial D}{\partial t} &gt; c&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">This occurs because we are not "moving" through the Host; the Host is providing more "skin" for the infection to occupy.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">IV. Mathematical Inaccessibility</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The "Unreadability" of the Host is due to the <span style="font-weight: bold;" class="mycode_b">Dimensional Cutoff Frequency</span>. Our sensors are tuned to 3D oscillations. The Host operates at a trans-dimensional frequency &#36;\omega_{\mathcal{H}}&#36;:</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">&#36;&#36;\Psi(x, t) = A e^{i(kx - \omega t)} \cdot \delta(w)&#36;&#36;</span><br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">Since &#36;\delta(w)&#36; (the Dirac delta function) is zero everywhere except the seating point, we can only see the "shadow" of the Host at the exact moment of contact. To see the Host, one would need a <span style="font-weight: bold;" class="mycode_b">Metric Waveguide</span> capable of shifting the phase of a signal into the &#36;w&#36;-axis.</span><br />
<hr class="mycode_hr" />
<br />
<span style="font-family: 'Google Sans', sans-serif;" class="mycode_font">V. Conclusion</span><br />
<br />
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">The "Host-Pathogen" model provides a mechanical solution to the two greatest mysteries in modern physics.</span><br />
<ol type="1" class="mycode_list"><li><span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font"><span style="font-weight: bold;" class="mycode_b">Dark Matter</span> is the weight of the Host we are sitting on.</span><br />
</li>
<li><span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font"><span style="font-weight: bold;" class="mycode_b">Dark Energy</span> is the speed at which we are "infecting" the Host.</span><br />
</li>
</ol>
<span style="font-family: 'Google Sans Text', sans-serif;" class="mycode_font">By looking "outside the box" of 3D particulate physics, we find that the universe is a living growth upon a much larger, higher-dimensional reality.</span>]]></content:encoded>
		</item>
		<item>
			<title><![CDATA[Sub-space communications]]></title>
			<link>http://160.32.227.211/n9ogl/showthread.php?tid=572</link>
			<pubDate>Sun, 22 Mar 2026 18:57:28 +0100</pubDate>
			<dc:creator><![CDATA[<a href="http://160.32.227.211/n9ogl/member.php?action=profile&uid=1">admin</a>]]></dc:creator>
			<guid isPermaLink="false">http://160.32.227.211/n9ogl/showthread.php?tid=572</guid>
			<description><![CDATA[<a href="http://160.32.227.211/science/Sub-Space_ham_radio.pdf" target="_blank" rel="noopener" class="mycode_url">http://160.32.227.211/science/Sub-Space_ham_radio.pdf</a><br />
<br />
<img src="http://160.32.227.211/science/subspace.jpg" loading="lazy"  alt="[Image: subspace.jpg]" class="mycode_img" />]]></description>
			<content:encoded><![CDATA[<a href="http://160.32.227.211/science/Sub-Space_ham_radio.pdf" target="_blank" rel="noopener" class="mycode_url">http://160.32.227.211/science/Sub-Space_ham_radio.pdf</a><br />
<br />
<img src="http://160.32.227.211/science/subspace.jpg" loading="lazy"  alt="[Image: subspace.jpg]" class="mycode_img" />]]></content:encoded>
		</item>
		<item>
			<title><![CDATA[My Opus]]></title>
			<link>http://160.32.227.211/n9ogl/showthread.php?tid=571</link>
			<pubDate>Sun, 22 Mar 2026 17:23:55 +0100</pubDate>
			<dc:creator><![CDATA[<a href="http://160.32.227.211/n9ogl/member.php?action=profile&uid=1">admin</a>]]></dc:creator>
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			<description><![CDATA[<a href="http://160.32.227.211/science/Fold_Space_Theory.pdf" target="_blank" rel="noopener" class="mycode_url">http://160.32.227.211/science/Fold_Space_Theory.pdf</a>]]></description>
			<content:encoded><![CDATA[<a href="http://160.32.227.211/science/Fold_Space_Theory.pdf" target="_blank" rel="noopener" class="mycode_url">http://160.32.227.211/science/Fold_Space_Theory.pdf</a>]]></content:encoded>
		</item>
		<item>
			<title><![CDATA[Daugherty A Theoretical Framework for Non‑Euclidean Volume Expansion]]></title>
			<link>http://160.32.227.211/n9ogl/showthread.php?tid=567</link>
			<pubDate>Wed, 18 Mar 2026 09:26:41 +0100</pubDate>
			<dc:creator><![CDATA[<a href="http://160.32.227.211/n9ogl/member.php?action=profile&uid=1">admin</a>]]></dc:creator>
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			<description><![CDATA[<a href="http://160.32.227.211/Daugherty_Fold‑Space_Theory.pdf" target="_blank" rel="noopener" class="mycode_url">http://160.32.227.211/Daugherty_Fold‑Space_Theory.pdf</a>]]></description>
			<content:encoded><![CDATA[<a href="http://160.32.227.211/Daugherty_Fold‑Space_Theory.pdf" target="_blank" rel="noopener" class="mycode_url">http://160.32.227.211/Daugherty_Fold‑Space_Theory.pdf</a>]]></content:encoded>
		</item>
		<item>
			<title><![CDATA[Some Math]]></title>
			<link>http://160.32.227.211/n9ogl/showthread.php?tid=564</link>
			<pubDate>Tue, 17 Mar 2026 03:48:43 +0100</pubDate>
			<dc:creator><![CDATA[<a href="http://160.32.227.211/n9ogl/member.php?action=profile&uid=1">admin</a>]]></dc:creator>
			<guid isPermaLink="false">http://160.32.227.211/n9ogl/showthread.php?tid=564</guid>
			<description><![CDATA["Firstly, we need to calculate the dimensional tension of the system. The tension in the fold depends on its thickness and how much strain it can take before breaking. In our case, that would be the difference between the volume of the inertial area and the volume of the folded space:<br />
<br />
Tension=(Volumeinertial−Volumefold)/AreafoldTension = (Volume_{inertial} - Volume_{fold}) / Area_{fold}Tension=(Volumeinertial−Volumefold)/Areafold<br />
<br />
"Next up is maintaining the energy baseline. The amount of energy required to hold a fold depends on its size, shape, and rigidity. In our case,<br />
<br />
Energy=Foldvolume∗DensityEnergy = Fold_{volume} * DensityEnergy=Foldvolume∗Density<br />
<br />
"With , this simplifies to<img src="http://160.32.227.211/n9ogl/images/smilies/biggrin.png" alt="Big Grin" title="Big Grin" class="smilie smilie_4" />ensity=1.5GJ/sqftDensity = 1.5 GJ/sqftDensity=1.5GJ/sqft<br />
<br />
Energy=Volumefold∗1.5Energy = Volume_{fold} * 1.5Energy=Volumefold∗1.5<br />
<br />
"Finally, regarding temporal divergence: if the amount of energy required to maintain the fold is more than what can be reasonably produced, then the system will become unstable and time dilation effects may occur. In our case:<br />
<br />
TimeDilation=(Energyrequired−Energyproduced)/PowerdrawTime Dilation = (Energy_{required} - Energy_{produced}) / Power_{draw}TimeDilation=(Energyrequinewd−Energyproduced)/Powerdraw<br />
<br />
"Apply these formulas to your case and see if it's feasible."]]></description>
			<content:encoded><![CDATA["Firstly, we need to calculate the dimensional tension of the system. The tension in the fold depends on its thickness and how much strain it can take before breaking. In our case, that would be the difference between the volume of the inertial area and the volume of the folded space:<br />
<br />
Tension=(Volumeinertial−Volumefold)/AreafoldTension = (Volume_{inertial} - Volume_{fold}) / Area_{fold}Tension=(Volumeinertial−Volumefold)/Areafold<br />
<br />
"Next up is maintaining the energy baseline. The amount of energy required to hold a fold depends on its size, shape, and rigidity. In our case,<br />
<br />
Energy=Foldvolume∗DensityEnergy = Fold_{volume} * DensityEnergy=Foldvolume∗Density<br />
<br />
"With , this simplifies to<img src="http://160.32.227.211/n9ogl/images/smilies/biggrin.png" alt="Big Grin" title="Big Grin" class="smilie smilie_4" />ensity=1.5GJ/sqftDensity = 1.5 GJ/sqftDensity=1.5GJ/sqft<br />
<br />
Energy=Volumefold∗1.5Energy = Volume_{fold} * 1.5Energy=Volumefold∗1.5<br />
<br />
"Finally, regarding temporal divergence: if the amount of energy required to maintain the fold is more than what can be reasonably produced, then the system will become unstable and time dilation effects may occur. In our case:<br />
<br />
TimeDilation=(Energyrequired−Energyproduced)/PowerdrawTime Dilation = (Energy_{required} - Energy_{produced}) / Power_{draw}TimeDilation=(Energyrequinewd−Energyproduced)/Powerdraw<br />
<br />
"Apply these formulas to your case and see if it's feasible."]]></content:encoded>
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