Difference between revisions of "Synthesizing the properties of Pulsars to create an Artificial Wormhole"

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(II. Extrapolating from the Kugelblitz)
 
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A comparable situation to this is that of the Kugelblitz; the most practical means by which one can create an artificial singularity. It works by focusing a beam of electromagnetic radiation at a specific region of sufficient intensity to form an event-horizon. The most famous example of which is as the means by which the Romulan Star Empire powers its vessels. The work of Commander (R) Peter Harkins et al. of the Pathfinder Project demonstrate the possibility of extending this same logic to the creation of an artificial wormhole.
 
A comparable situation to this is that of the Kugelblitz; the most practical means by which one can create an artificial singularity. It works by focusing a beam of electromagnetic radiation at a specific region of sufficient intensity to form an event-horizon. The most famous example of which is as the means by which the Romulan Star Empire powers its vessels. The work of Commander (R) Peter Harkins et al. of the Pathfinder Project demonstrate the possibility of extending this same logic to the creation of an artificial wormhole.
  
==II. Extrapolating from the Kugelblitz.
+
==II. Extrapolating from the Kugelblitz==
  
 
The energy required to form an artificial singularity by way of Kugelblitz can be derived from the Schwarzschild Radius, given as
 
The energy required to form an artificial singularity by way of Kugelblitz can be derived from the Schwarzschild Radius, given as
  
:<math> r_s = \frac{2 G M}{c^2} </math>
+
[[File:Eqn1.png]]
  
 
Where G is the gravitational constant, M is the object mass and c is the speed of light in a vacuum. We know from Einstein's equations that
 
Where G is the gravitational constant, M is the object mass and c is the speed of light in a vacuum. We know from Einstein's equations that
  
:<math> e = M c^2 </math>
+
[[File:Eqn2.png]]
  
 
Therefore, one will find that
 
Therefore, one will find that
  
:<math> r_s = \frac{2 G \frac{e}{c^2}}{c^2} </math>
+
[[File:Eqn3.png]]
  
 
and, so
 
and, so
  
:<math> r_s = \frac{2 G e{c^4} </math>
+
[[File:Eqn4.png]]
 +
 
 +
Therefore,
 +
 
 +
[[File:Eqn5.png]]
 +
 
 +
It is important to note that the above listed equations provide for the energy required to "create" a singularity which is by definition, geodesically incomplete. However, the MIDAS array has proved that the principle is very much the same. For illustrative purposes, one will find that the energy required to create a singularity the size of an Oberth-class starship (using a radius of 75m, half of its longest lenght of 150m) is ≈1.464x10<sup>44</sup> J. To put that into context, the entire energy output of the human Sun during its lifetime will be ≈1.3×10<sup>45</sup> J.
 +
 
 +
==III. Applying Kugelblitz Principles to an Ellis Drainhole==
 +
 
 +
The most important distinction between a singularity and a wormhole is their geodesic completeness. The singularity's infinite density (and, thus, infinitely small size) result in significantly higher energy requirements for creation.
  
 
[[Category:Science]]
 
[[Category:Science]]
 
[[Category:Starfleet Journal of Arts & Sciences|*]]
 
[[Category:Starfleet Journal of Arts & Sciences|*]]

Latest revision as of 15:36, 11 August 2017

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JOURNAL OF
ARTS & SCIENCES

pro scientia atque sapientia


2394, Vol. 63(4)

Synthesizing the properties of Pulsars to create an Artificial Wormhole

by Ensign Tu'Peq, Ph.D (Theoretical Physics), USS Blackwell (NCC-58999)

Abstract

For many years it has been known that it is possible to create an artificial wormhole at the microscopic level, stable for only a short period of time, by focusing a Tachyon beam at a nearby pulsar, using the density of the star to focus the beam to a point at which a singularity is formed. This paper will prove that it is conceivable to extend this to the macroscopic level.

I. Introduction

in 2376, Starfleet developed the Mutara Interdimensional Deep-Space-Transponder Array System (MIDAS) which fired a tachyon beam at a passing Pulsar to create a micro-wormhole through which Starfleet communicated with the Starship Voyager, then trapped in the Delta Quadrant. There is no reason to believe that such an attempt could not be expanded to the macro scale, creating a traversable wormhole.

Pulsars contain two properties that are of relevance to this investigation. For the purpose of this investigation, the term Pulsar refers to a highly magnetized neutron star that emits a beam of electromagnetic radiation. This phenomenon is commonly observed in white dwarf stars as well, however they are of insufficient density to be of use in this particular investigation. The density of the neutron star exponentially increases the intensity of the tachyon beam while the electromagnetic emissions of said pulsar focus the tachyons to a region of sufficient radius to form the artificial wormhole.

A comparable situation to this is that of the Kugelblitz; the most practical means by which one can create an artificial singularity. It works by focusing a beam of electromagnetic radiation at a specific region of sufficient intensity to form an event-horizon. The most famous example of which is as the means by which the Romulan Star Empire powers its vessels. The work of Commander (R) Peter Harkins et al. of the Pathfinder Project demonstrate the possibility of extending this same logic to the creation of an artificial wormhole.

II. Extrapolating from the Kugelblitz

The energy required to form an artificial singularity by way of Kugelblitz can be derived from the Schwarzschild Radius, given as

Eqn1.png

Where G is the gravitational constant, M is the object mass and c is the speed of light in a vacuum. We know from Einstein's equations that

Eqn2.png

Therefore, one will find that

Eqn3.png

and, so

Eqn4.png

Therefore,

Eqn5.png

It is important to note that the above listed equations provide for the energy required to "create" a singularity which is by definition, geodesically incomplete. However, the MIDAS array has proved that the principle is very much the same. For illustrative purposes, one will find that the energy required to create a singularity the size of an Oberth-class starship (using a radius of 75m, half of its longest lenght of 150m) is ≈1.464x1044 J. To put that into context, the entire energy output of the human Sun during its lifetime will be ≈1.3×1045 J.

III. Applying Kugelblitz Principles to an Ellis Drainhole

The most important distinction between a singularity and a wormhole is their geodesic completeness. The singularity's infinite density (and, thus, infinitely small size) result in significantly higher energy requirements for creation.