A Step Toward Translocation Technologies

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A Step Toward Translocation Technologies
Benjamin T Solomon iSETI LLC PO Box
831 Evergreen, CO 80437, USA http//www.iSETI.us/
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Objective of the Presentation
Objective To find new approaches to developing
future propulsion systems in particular a
translocation technology. To change the paradigms
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Agenda

• 1. Frame of Reference Axioms
• 2. Dissection of a Collision
• 3. Gravity Thought Experiment
• 4. Continuity of Frames of Reference
• 5. 5-Particle Box Paradox
• 6. Translocation Technology Basics

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Frame of Reference Axioms
Section Objective To present new Frame of
Reference Axioms
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Frame of Reference Axioms
Current Perspective Einstein had stated the
Principle of Relativity as All laws of physics
are the same in every free-float (inertia)
reference frame. Taylor, Wheeler 1992
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Frame of Reference Axioms

• New Perspective
• Frame of Reference Properties Axiom
• This axiom requires that a frame of reference is
  the grid within spacetime in which an observer is
  immersed in that provides location, time and
  property determination with respect to the laws
  of physics

Fi Di U Pi (1.1.1) Set Di Di,k U Di,u (1.
1.2) Set Pi Pi,k U Pi,u (1.1.3)
Where Fi frame of reference i U union of
two sets Di set of dimensions, t, x, y, z,
and may be more, that are in grid i Pi set
of physical properties, known and unknown,
associated with grid i Di,k known dimensions
within grid i Di,u unknown dimensions within
grid I Pi,k known dimensions within grid
i Pi,u unknown dimensions within grid i
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Frame of Reference Axioms

• New Perspective
• Null Frame of Reference Axiom

This axiom requires that when an observer has
non-zero energy, the observer is associated with
a frame of reference that defines how the
observer experiences the world
When, energy, E(Oi), of observer, Oi , is not
zero, E(Oi) ? 0 Then, the measure of the frame
of reference, Fi , e is not zero If Fi Di U
Pi (1.1.1) Then e(Fi) ? 0 (1.1.4) And
if, E(Oi) 0 Then e(Fi) 0 (1.1.5) Where E(
Oi) measure of the energy of observe, i, Oi.
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Dissection of a Collision
Section Objective To Review a Collision
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Dissection of a Collision

Source BT Solomon, A New Approach to Gravity and
Space Propulsion Systems, ISDC 2003
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Dissection of a Collision

Source BT Solomon, A New Approach to Gravity and
Space Propulsion Systems, ISDC 2003
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Gravity Thought Experiment
Section Objective To Transformation Behavior
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Gravity Thought Experiment
Gravitational Field
Blue Shift Transformation
Red Shift Transformation
A gravitational field is an example of how a
frame of reference is transformed in a consistent
manner, independent of the observer.
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Continuity of Frames of Reference
Section Objective To Present Some New
Properties for Frames of Reference
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Continuity of Frames of Reference
The Continuity of Frames of Reference states that
an observers frame of reference is continuous
and consistent with the observations, events and
processes of another observer and obey four
requirements,

• Net Cumulative,
• Path Independent,
• Reversible, and
• Preservation.
• F1 T0,1(F0) (3.1.1)

Where F0 frame of reference 0, at initial
state, 0 F1 frame of reference 1, at ending
state, 1 T0,1 transformation for frame of
reference from F0 to F1.
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Continuity of Frames of Reference
Net Cumulative Property This property requires
that the total net effect of all the
transformations along the path 0, 1, 2, , n-2,
n-1 n, must be the same as the single direct
path, 0 to n. Fn Tn-1,n(Fn-1) Tn-1,n(Tn-2,n
-1(Fn-2)) Tn-1,n(Tn-2,n-1(Tn-3,n-2(Fn-3)) Tn
-1,n(Tn-2,n-1(Tn-3,n-2( ... T0,1(F0) ...
))) T0,n(F0) T0,n(F0) Tn-1,n(Tn-2,n-1(
Tn-3,n-2( ... T0,1(F0) ... ))) (3.2.1)
0
n
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Continuity of Frames of Reference
Path Independence Property The net
transformation along the path m-x-n must be the
same as the net transformation along an
alternative path m-y-n, as the Net Cumulative
Property requires net transformations equal that
of the single most direct path, m-n
Tx,n(Tm,x(Fm)) Ty,n(Tm,y(Fm)) (3.3.1) for
any x ? y
x
m
y
n
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Continuity of Frames of Reference
Path Independence, is the primary representation
of the Principle of Relativity that the laws of
physics must be the same for any inertia frame of
reference. Or more clearly, there are two
elements to this Path Independence. 1. Any two
observers with different frames of reference will
observe the laws of physics, by the appropriate
frame of reference transformation. This is
because it is possible to transform the first
observers frame of reference to the second
observers, by the appropriate transformation.
For the inertia frames of reference
Lorentz-Fitzgerald transformations apply. 2. Any
observer, moving from a starting frame to another
different ending frame will observe the laws of
physics by the appropriate transformation of the
frames of reference. A good example of a frame of
reference being transformed by the non-linear
distortions is that in a gravitational field.
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Continuity of Frames of Reference
Reversible Property Transformations are
reversible if retracing our steps will return us
to our original set of conditions. This is a
necessary consequence of the Path Independence
Property. The Reversible Property is critical
to any space exploration endeavor, as one expects
to return home, at some reasonable time in the
future. Fn Tm,n(Tn,m(Fn)) (3.4.1)
m
n
x
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Continuity of Frames of Reference
Spatial Reversibility Fn(s1) Tm(s0),n(s1)
(Tn(s1),m(s0) (Fn(s1))) (3.4.4) Temporal
Reversibility Fn(t1) Tm(t0),n(t1)
(Tn(t1),m(t0) (Fn(t1))) (3.4.5)
t-axis
y-axis
Temporal Reversibility
Spatial Reversibility
x-axis
Spatial Reversibility
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Continuity of Frames of Reference
Is reversibility collective or individual? If
temporal reversibility is collective, it means
that the entire universe travel backwards and
forwards in time together. With individual
temporal reversibility a single entity can
reverse temporal frame of reference
transformations independently of the surrounding
universe. Therefore, one cannot detect
Collective Temporal Reversibility, but on can
detect Individual Temporal Reversibility.
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Continuity of Frames of Reference
The distinction between time travel and temporal
reversibility Traveling backwards in
time, Fn(sy,tj) Tm(sx,t),n(sy,tj) (Fm(sx,t))
U(sq,t),(sp,t-i)W(sq,t) (3.4.8) Traveling
forwards in time, Fn(sy,tj) Tm(sx,t),n(sy,tj)
(Fm(sx,t)) U(sq,t),(sp,tk)W(sq,t) (3.4.9)
Taking world state into account as, Temporal
Reversibility given that the Universe keeps
moving forward in time, can be rewritten as,
Fn(t1) Tm(t0),n(t1) (Tn(t1),m(t0) (Fn(t1)))
U(sq,t),(sp,ti) W(sq,t) (3.4.10)
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Continuity of Frames of Reference
Individual Temporal Reversibility
Expansion of the Universe
Expansion of the Universe
We will be
Arrow of Time
here
tomorrow.
Temporal Reversibility of Entity
We are
here
today.
We were
here
yesterday.
Expansion of the Universe
Expansion of the Universe
Adapted From BT Solomon, Reaching The Stars
Interstellar Space Exploration Technology
Initiative (iSETI) Report, 2003, ISBN
0-9720-116-3-3
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Continuity of Frames of Reference
Thickness of the Universe Given that the
Universe is on the surface of an expanding
sphere, a possible logical construct is that the
magnitude of the Individual Temporal
Reversibility is governed by the thickness of the
Universe Expanding Sphere. Fn(t1) - Fn(t1)
f( thickness of Universe ) (3.4.11)
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Continuity of Frames of Reference
Time Travel with Collective Temporal Reversibility
Expansion of the Universe
Expansion of the Universe
We will be
Collective Temporal Reversibility
here
tomorrow.
Entitys Arrow of Time
We are
here
today.
We were
here
yesterday.
Expansion of the Universe
Expansion of the Universe
Adapted From BT Solomon, Reaching The Stars
Interstellar Space Exploration Technology
Initiative (iSETI) Report, 2003, ISBN
0-9720-116-3-3
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Continuity of Frames of Reference
Preservation Property The Preservation Property
requires that if an event occurred at some
location and time, governed by some
transformation, then, that event is preserved and
real, such that 1. It may or may not be observed
by different observes, and 2. If observed, in
general, relative simultaneity is in effect.
Fi T0,i (F0) for all i (3.5.1) Or, T0,i
(F0) Fi for all i within the light
cone (3.5.2) N0,i (F0) 0 for all i outside
the light cone (3.5.3) Where F0 Frame 0,
initial state, 0, frame of reference Fi Frame
i, ending state, i, frame of reference N0,i the
null transformation for frame of reference from
F0.
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Continuity of Frames of Reference
Inconsistent Transformations A frame of
reference transformation is inconsistent when at
least one of the three properties (Net
Cumulative, Path Independence Reversible) no
longer holds. An inconsistent Path Independence
requires, that if, Fn(x) Tx,n(Tm,x(Fm)) Fn(y)
Ty,n(Tm,y(Fm)) Then, Fn(x) ? Fn(y) (4.2)
x
m
n
y
n
Fn(x) ? Fn(y)
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Continuity of Frames of Reference
Requirements for conventional Interstellar
Travel The Duration Problem Journey duration,
D, Dm,x,n gt Dm,y,n (4.3) Journey distance,
Sm,x,n , may or may not be the same as, Sm,y,n
, or, Sm,x,n / Sm,y,n (4.4) Where x ? y Dm
,y,n travel duration between n and m via
x Dm,x,n travel duration between n and m via
y Sm,y,n travel distance between n and m via
x Sm,x,n travel distance between n and m via
y / any of, less than, equal to or greater
than relationship
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Continuity of Frames of Reference
The Reversible property holds for Inconsistent
paths The m-x-n path, the conventional path is
reversible. Fn(x) Tx,n(Tm,x(Tx,m(Tn,x(Fn)))) (
4.5) However, the m-y-n path, the path that is
inconsistent with respect to m-x-n, the
reversibility condition is, Fn(y) Ty,n(Tm,y(Ty,
m(Tn,y(Fn)))) (4.6) Where Fn(x) ? Fn(y)
x
m
n
y
n
Fn(x) ? Fn(y)
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The 5-Particle Box Paradox
Relative Velocity, VAB 0
Particle A
Particle B
Distance, SAB s
Distance, SAD sv(2)
Relative Velocity, VBD 0
Relative Velocity, VAC 0
Distance, SBD s
Distance, SAC s
Distance, SAE sv(2-v2/c2)
Relative Velocity, VCD 0
Particle E
Particle C
Distance, SCD s
Particle D
Relative Velocity, VCE v
Relative Velocity, VDE v
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Translocation Technology Basics
Translocation Transformations Under the right
transformations it is possible to measure any
distance equal to zero Ti,Z(si) 0 (6.1) In
Special Relativity, the Lorentz-Fitzgerald
transformation, requires that velocity approach
the speed of light, as v ? c AND v(1-v2/c2) ? 0
If one adds, another key property, that time
dilation, is not altered, such that, Ti,Z
(ti) ti (6.2) where ti is the time
dilation property of frame of reference, i.
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Translocation Technology Basics
Translocation Transformations The two tizzy
transformations require a technology that is
capable of providing asymmetrical
transformations, with respect to space and time.
The frame of reference transformations are such
that it applies to space but not to time. Then,
the tizzy transformations provide a path, m-n,
from m to n, as follows, Fn (ti,xn,yn,zn) Ti,z
Fm(t0,xm,ym,zm) (6.4) Such that, T i,z
(v(xn- xm)2 (yn- ym)2 (zn- zm)2
) 0 (6.5)
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Translocation Technology Basics
What will it look like? The tizzy
transformations, show that translocation
technology should produce asymmetrical
transformations, with respect to space (7.1) and
time (7.2). Ti,Z(si) 0 (7.1) Ti,Z
(ti) ti (7.2) Unlike conventional
interstellar travel, time is zero and distance
not important, the two tizzy transformations,
require different, if not opposite, requirements,
space is zero, time is about the same. It is
reported that Dr. Vadim Chernobrov (J Randles,
2005), had demonstrated the opposite asymmetrical
transformations, time but not distance. Note that
there seems to be some debate about the validity
of Dr. Chernobrovs work.
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Translocation Technology Basics

• What will it look like?
• One can infer the following technology
  characteristics,
• The key characteristic is the technologys
  ability to generate asymmetric transformations
  with respect to space and time.
• The technology manipulates distance and not time.
  Time travel is incorrect.
• The technology does not use velocity. Velocity
  causes both time dilation, and length
  contraction, simultaneously. We require only the
  second.
• The technology does not use mass as a technology
  driver, as this induces relativistic effects with
  respect to time.
• Therefore, one is left with fields. This
  technology will utilize field effects, not
  quantum effects, to achieve the translocation.

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Conclusion

1. More research is required into behavior and
   manipulation of frames of references.
2. Future technologies will manipulate space and not
   time.
3. Research into Asymmetric Transformations is
   critical to future propulsion technologies.

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Bibliography
J. Randles, 2005, Breaking The Time Barrier,
Paraview Pocket Books, ISBN 0-7434-9259-5, pages
241-248. J.L. Rosner, 2001, CP Symmetry
Violation, http//arxiv.org/PS_cache/hep-ph/pdf/0
109/0109240.pdf B. Schultz 2003, Gravity from
the ground up, Cambridge University Press, ISBN 0
521 45506 5, pg 253. E. F. Taylor J. A.
Wheeler, 1992a, Spacetime Physics Introduction
to Special Relativity, 2nd Edition, W.H. Freeman
Company, ISBN 0-7167-2327-1, page 43. E. F.
Taylor J. A. Wheeler, 1992b, Spacetime Physics
Introduction to Special Relativity, 2nd Edition,
W.H. Freeman Company, ISBN 0-7167-2327-1, page
31. E. F. Taylor J. A. Wheeler, 1992c,
Spacetime Physics Introduction to Special
Relativity, 2nd Edition, W.H. Freeman Company,
ISBN 0-7167-2327-1, page 55. E. F. Taylor J.
A. Wheeler, 1992d, Spacetime Physics
Introduction to Special Relativity, 2nd Edition,
W.H. Freeman Company, ISBN 0-7167-2327-1, page
182. Wikipedia, 2006, Frame of Reference,
http//en.wikipedia.org/wiki/Frame_of_reference
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Contact
Ben Solomon iSETI LLC P.O. Box 831 Evergreen,
CO 80437 Email solomon_at_iseti.us