| Archer Energy Systems, Inc. is an affiliate of Archer Enterprises | last modified on: Feb. 16, 2008;  latest update!
 
  ››› Note: The term "reactionless" as used herein does not mean the absence of inertial force on an accelerated body,
                    but rather the application of accelerating force upon an inertial body by means other than the rocket principle!


 
How the 'Electrodynamic Field Generator' [US 6,404,089]
Develops Reactionless Electric Thrust

 by Mark R. Tomion, inventor 


*  *  *  *  *

   To produce all-electrically-developed reactionless thrust, the EDF Generator 'primary power system' in a StarDrive vessel uses electrostatic induction and thermionic emission principles to create an ultra-high electrostatic potential difference across the hull itself, quickly initiating a huge rotor current that shunts electronic charge from the hull's 'Collectors' to its peripheral 'Emitter Ring' – until the starship is completely enclosed in an impenetrable bubble of heavy quasi-coherent * "arc", or electrodynamic Field discharge current. In essence, the EDF Generator's ultra-high voltage StarDrive variant is simply a huge electron supercollider! 
 *[Note: The patent provides for applying axial magnetic fields and/or secondary AC voltage components to an EDF Generator's Field envelope current, to provide a tunable 'derandomizing' action and allow for the possibility of signal transceiver capability.]

Such a starship produces linear thrust simply from the physical impact of the Field envelope current
with the hull collector sections! [ref.: 'change in impulse equals change in momentum', or ΔFt = Δmv]
  Serious 'starship design' enthusiasts should take a look at the  
Manned Vessel Design DataSheet (pdf).      
 ^Math and engineering students can now review the Hull Configuration Spreadsheet [pdf, 1 pg., 50kB], for a 100-ft.-diameter "Toltec Class" StarDrive vessel, separately from the Patent(s). This hull design is essentially identical to that of the famous 'Levity Disc' developed many years ago by Prof. John Searl — and it constitutes a huge double non-parallel plate capacitor whose physical dimensioning will nevertheless promote a uniform Field envelope current density suitable for an aerospace electric propulsion system.

    Accordingly, the electrons comprising this electric "Field envelope" current are accelerated to very nearly the speed of light, and because of the hull's radial symmetry the Field envelope is split into two hemitoroidal electron current streams (as shown above) which are mutually opposed as they strike the positive central collector sections of the hull. As is mathematically verified in the Patent, with sufficient current density, the relativistic mass of these two currents can provide impulse thrust of nearly 2 'gee' simply from a controlled variable imbalance in the continuous force of their impact with the Collectors! [The proper basic Field impulse thrust calculation method given in the Patent is now shown below!] 

     And this type of field effect propulsion is the now-defunct NASA Breakthrough Propulsion Physics Program's very definition of a 'diametric drive', which functions by "creating an asymmetric field of force around itself without expelling reaction mass" and whose top speed would be limited only by relativity. Wikipedia has this to say: "It is unknown whether it is even physically possible to create such a field." But, as you will see, with the EDF Generator's advanced propulsion engineering it now surely is . . . 

electrodynamic Field configuration, showing the crossed electric & magnetic force vectors that
enable a StarDrive vessel's metric warp field generator capability at extreme relativistic velocity. 
[A special update on torsion physics (01/29/08): "Bearing in mind that the radial electric field across the EDF Generator's housing will centripetally accelerate its Field envelope current only in the y-axis and that the axial magnetic fields applied to the Field will centrifugally accelerate that current only in the x-axis, perceptive readers may find this recent article on torsion physics of some interest and relevance"... MRT

    To explain:  if  these two Field envelope hemicurrents were evenly isometric (of equal magnitude), no net force of thrust would be developed. However, if the "lower" current stream is much stronger than the "upper", the StarDrive vessel will be propelled away from the stronger current – in the "upward" direction. There is no net 'backward' ionic exhaust produced, since no use is made of the old rocket principle: the Field current electrons are not "fired like bullets from a gun" (as even some physicists seem inclined to think) but are relativistically self-accelerating to the Collectors, and any net "recoil" force on the Emitter Ring is trivially Newtonian by comparison. Therefore, this type of thrust is truly reactionless in nature. [The Collectors are sectored for directional control, achieved by varying the proportional current conducted by various sectors.]

    Since the electric acceleration attained by Field current electrons is purely a function of the applied Field voltage, and must remain subjectively constant (with constant Field voltage) despite any increase in the velocity of the vessel itself, the Field current electrons will themselves be compelled to provide sufficient work/energy output such that their collector impact velocity remains constant – whereby the net impulse thrust produced will rise 'in phase' with vessel momentum, increasing asymptotically with speed according to the FitzGerald ratio reciprocal and yielding a constant level of vessel acceleration** despite the relativistic rise in the vessel-and-Field's apparent mass. [ref.: see the Electron Work Theory section of our Power Plant page.] 

 ** The stunningly simple reason why this can be so is compound time dilation:  Not only are a StarDrive vessel's Field envelope electrons moving with the ship at nearly c, but they are moving at nearly c with respect to the ship! So, if we logically accept that all electrons even at absolute-zero rest are intaking and expending EM energy, their relativistically expanded capability to do so as a function of near-light velocity is compounded under intense electric Field acceleration around such a starship which is itself moving at extreme near-light speed (with respect to its rest inertial reference frame) . . .
   Roughly speaking, if a stationary StarDrive vessel's fully-powered Field is accelerating its constituent electrons to 'six-9s light' (0.999999 c), their "gamma" (time dilation) factor is just over 700 and they are absorbing EM energy at least 700 times faster relative to our reference frame than they do at rest. And so it's easy to see that the Field electrons' gamma may itself become essentially squared if the vessel then also moves to six-9s light velocity, with a correspondingly enormous EM energy exchange rate!
 

    Thus, an EDF Generator vessel's Field envelope would theoretically be capable of propelling the ship faster-than-light "locally" – from the subjective point of view of any onboard instrumentation or crew – by asymptotically approaching the speed of light to within an arbitrarily small increment at such point that relativistic conditions arise allowing the formation of a local Kerr metric space warp [pdf; 1 pg., 50kB].



Calculation of the reactionless thrust produced by an Electrodynamic Field Generator 
"No human investigation can be called real science if it cannot be demonstrated mathematically." -- Leonardo da Vinci

    In StarDrive Engineering, a hypothetical EDF Generator propulsive "Drive Unit" of only 4-ft. diameter is used throughout as a minimum-scale model with which to illustrate fundamental design methods and operating theory. The proof sheet which follows below shows the strictly algebraic calculation of net non-isometric Field thrust as it would be produced in that 4-ft. "Badlander" model. 

    For these computations to be clearly valid, it must first be shown that the external Field envelope of such a vessel will have an essentially uniform electric field intensity between its capacitive emitter ring and collector hull sections despite their non-parallelism because of the Field's heavy "leakage" current, according to a simple classically-derived electrostatics formula, thereby greatly simplifying the solution.
   The first part of the Uniform Field Intensity (UFI) Formula is the standard expression for electric field intensity as a function of an applied voltage: E = V/d, where d  generally equals the distance between two plane-parallel capacitive plates. 
  The second part of the formula is also true of all "normal" (equal-area) capacitors: E = σ/εo, where σ equals the surface charge density of either plate and εo is the universal electrostatic constant equal to 8.854 x 10–12 coul2/nt-m2.
   Thus, a parallel-plate capacitor normally exhibits a uniform surface charge density because its plate separation distance is uniform. Within the application contemplated here, however, the vessel emitter ring and collector hull plates are decidedly non-parallel, although equal in area, and the formation of a continuous leakage current between the plates is in fact desired!
   To achieve a uniform production of thrust per unit collector surface area, we desire a uniform Field current density; and because the Field electrode separation distance is non-uniform, the local surface charge density must vary proportionally – which would not be possible between capacitive plates without such a leakage current. To show that this premise is actually true given the equal-plate-area parameter, we can combine the two equations from above into one expression by taking the simple product of both sides of each, as follows:

  since  E = V/d, and  E = σ/εo,
then  E x E = V/d x σ/εo, and  E2 = Vσ/dεo.
And thus,  E = (Vσ/dεo)1/2.

    Once the Field becomes a conductor, and the resulting "drive" current acts to redistribute local hull surface charge densities, its electric field intensity must become uniform (by definition of a conductor) because the equal-area hull sections cause it to have a uniform cross-sectional area in the direction of current conduction. An analysis of this UFI Formula as applied here clearly shows that the electric field intensity within the flow of Field envelope current will remain constant throughout the range of concentric semicircular d values across the hull's neutral sections, for any given value of Field voltage – by virtue of proportionally-variable local values for the collector and emitter ring surface charge densities.

   Since the field intensity and Field drive current density across a StarDrive vessel's hull have now been shown to be uniform (as is the voltage), the acceleration of all Field current electrons is uniform as well – and the resulting simplified "average transit time" thrust calculations below should be quite accurate for purposes here. The vessel data we will need is: the peak Field voltage (110% of 35.1047 million vdc [see Worksheet II(a), StarDrive Engineering]); rotor ampacity (38,160 A); and [est'd.] weight (198.8 lbs).

[1] The peak gained kinetic energy of each Field drive current electron (W) is as follows:

W = qV,  where  q = unit electron charge, at 1.6 x 10–19 coul.,
                 and  V = peak Field voltage, at 38.6152 million vdc.
 Therefore,  W = (1.6 x 10–19)(38.6152 x 106) = 61.7843 x 10–13 joules.

[2] The mass equivalent of this gained kinetic energy, letting W = Eq, is equal to mi:

where  mi = Eq /c2 = (61.7843 x 10–13)/ 8.98755 x 1016 = 687.44 x 10–31 kg.

[3] The total relativistic mass of each Field drive current electron is equal to Mt,

where  Mt = mo + mi = (9.11 x 10–31) + (687.44 x 10–31) = 696.55 x 10–31 kg, or 76.46 mo.

[4] The peak relativistic velocity of each incident collector Field electron (Ve) is as follows:

Since  Mt = mo /(1 – v2/c2)1/2,  v / c = [1 – (mo/ Mt )2]1/2 ;

so,  v / c = [1 – (9.11/ 696.55)2]1/2 = [1 – (0.013079)2]1/2 ;

and  Ve = 0.999914 c,  or 299.7668 x 106 m/sec.

[5] The total number of Field current electrons striking the collectors per second (max.Σ/sec) is:

max.Σ/sec = Imax (6.25 x 1018 electrons/coul.), where  Imax equals the rotor ampacity (in coul./sec);

so,  max.Σ/sec = (38,160)(6.25 x 1018) = 2.385 x 1023 electrons per second [e-/sec].

[6] The total peak isometric thrust developed by the Field current (in newtons) equals its peak collector change of momentum per second, as follows:

(max.Σ/sec)(Mt ΔVe) = (2.385 x 1023 e-/sec)(696.55 x 10–31 kg)(299.7668 x 106 m/sec) = 4,980 nt.

   Since the estimated gross weight of this model vessel is 884.4 nt (198.8 lbs), the level of Field thrust just calculated represents a total of 5.63 'gee' of isometric (or mutually vector-cancelling) acceleration.
  Impulse equals momentum, or Ft = mv. Since the change in Field impulse must equal the change in vessel momentum, FΔt = mΔv, and the thrust force F = mΔv / Δt.

[7] The peak net unilinear thrust developed by the Field current, given that the maximum of 2/3 of total envelope current is circulating in the aft hemitorus (see SpecSheet 11, StarDrive Engineering), is then equal to 5.63 / 3 = 1.877 g of continuous acceleration. 


  This fundamental proof-of-concept analytical method has been successfully applied to existing basic specifications for real all-electric light-speed starships of up to 100 feet in diameter, as described in inventor Mark R. Tomion's landmark 441-page electrodynamic field drive technical manualΔ. Students and engineers may be assured that this uniquely fascinating book provides sufficient mathematical treatment to fully substantiate both the novel conceptual claims and hardware proposals made. 
    An excellent chapter on astrometrics and interstellar navigation is also included, and the following hyperlinked Chapter 13 excerpt [pdf; 13 pgs., 256kB] outlines a hypothetical trans-light voyage to the Tau Ceti star system using a 60-ft.-diameter StarDrive vessel of Electrodynamic Field Generator design. As told from a science officer's perspective, this narrative not only points out how comprehensive the specifications methodology is for actual starship systems and hardware, but also explains the proper method of 'warp jump sequence computation' by generating accurate time-and-velocity mission profiles for Alpha Centauri A as well as Tau Ceti! 

 > to order "StarDrive Engineering" ($35.95 ea.)     ΔTable of Contents
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Archer Enterprises furthermore reserves the right to decline any book order at any time.
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  For a layman's description of the StarDrive device's overall method of operation, click here.

   ‹‹‹ back to the Excerpt on trans-light mechanics and breaking the hyperspatial light barrier.        

     "Unless our race develops a shielded trans-light drive, humanity is                                  
inevitably fated to extinction right here, and much sooner than later..." – Mark Tomion
 

 *  *  *  *  * 
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