A Step Toward Translocation Technologies

May 07 2006May 07 2006 International Space Developement CoInternational Space Developement Conference 2006, Los Angeles, CA.nference 2006, Los Angeles, CA.

11

A Step Toward Translocation A Step Toward Translocation TechnologiesTechnologies

Benjamin T SolomonBenjamin T SolomoniSETI LLCiSETI LLC

PO Box 831PO Box 831Evergreen, CO 80437, USAEvergreen, CO 80437, USA

http://www.iSETI.us/http://www.iSETI.us/

May 07 2006May 07 2006 Ben SolomonBen Solomon

International Space Developement Conference 2006, Los Angeles, CA.International Space Developement Conference 2006, Los Angeles, CA. A Step Toward Translocation Technologies A Step Toward Translocation Technologies

Page 2 of 30 of 30 iSETI LLC, PO Box 831, Evergreen, CO 80437 iSETI LLC, PO Box 831, Evergreen, CO 80437

Objective of the PresentationObjective of the Presentation

Objective:

To find new approaches to developing future propulsion systems; in particular a translocation technology.

To change the paradigms




AgendaAgenda

1.1. Frame of Reference AxiomsFrame of Reference Axioms

2.2. Dissection of a CollisionDissection of a Collision

3.3. Gravity Thought ExperimentGravity Thought Experiment

4.4. Continuity of Frames of ReferenceContinuity of Frames of Reference

5.5. 5-Particle Box Paradox5-Particle Box Paradox

6.6. Translocation Technology BasicsTranslocation Technology Basics




Frame of Reference AxiomsFrame of Reference Axioms

Section Objective:

To present new 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





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)

New Perspective:1. 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

Where Fi = frame of reference iU = union of two setsDi = set of dimensions, t, x, y, z, and may be

more,that are in grid i

Pi = set of physical properties, known andunknown, associated with grid i

Di,k = known dimensions within grid iDi,u = unknown dimensions within grid IPi,k = known dimensions within grid iPi,u = unknown dimensions within grid i





When, energy, E(Oi), of observer, Oi , is not zero,

E(Oi)≠ 0

Then, the measure of the frame of reference, F i , 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, O i.

New Perspective:2. 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




Dissection of a CollisionDissection of a Collision

Section Objective:

To Review a Collision





Source: BT Solomon, A New Approach to Gravity and Space Propulsion Systems, ISDC 2003

Particle’s own frame of reference Time dilation field

Particle moving from left to rightprior to collision

Particle moving from right to leftprior to collision

Particle probability at collision

Time dilation, t= T

Time dilation, t > T

Time dilation, t= T



Particle moving from left to rightprior to collision

Particle moving from right to leftprior to collision

Particle probability at collision

Time dilation, t= T


Time dilation, t= T


Frames Compress





Source: BT Solomon, A New Approach to Gravity and Space Propulsion Systems, ISDC 2003


During collision the particles compress

Time dilation, t <<T

Time dilation, t < T Time dilation, t < T



After collision the particles separate


During collision the particles compress

Time dilation, t <<T

Time dilation, t < T Time dilation, t < T



After collision the particles separate

Frames Decompress




Gravity Thought ExperimentGravity Thought Experiment

Section Objective:

To Transformation Behavior




Gravity Thought ExperimentGravity Thought Experiment

Blue Shift Transformation

Red Shift Transformation

Gravitational Field

A gravitational field is an example of how a frame of reference is transformed in a consistent manner, independent of the observer.




Continuity of Frames of ReferenceContinuity of Frames of Reference

Section Objective:

To Present Some New Properties for Frames of Reference





1 Net Cumulative,

2 Path Independent,

3 Reversible, and

4 Preservation.

F1 = T0,1(F0) (3.1.1)

Where F0 = frame of reference 0, at initial state, 0F1 = frame of reference 1, at ending state, 1 T0,1 = transformation for frame of reference

from F0 to F1.

The Continuity of Frames of Reference states that an observer’s frame of reference is continuous and consistent with the observations, events and processes of another observer; and obey four requirements,





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)

n

0





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

n

m

x

y





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 observer’s frame of reference to the second observer’s, 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.





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)n

m

x





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)

x-axis

t-axis

Temporal Reversibility

Spatial Reversibility

y-axis

Spatial Reversibility





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.





The distinction between time travel and temporal reversibility:

Traveling backwards in time,Fn(sy,t+j) = Tm(sx,t),n(sy,t+j) (Fm(sx,t)) | U(sq,t),(sp,t-i)W(sq,t) (3.4.8)

Traveling forwards in time,Fn(sy,t+j) = Tm(sx,t),n(sy,t+j) (Fm(sx,t)) | U(sq,t),(sp,t+k)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,t+i) W(sq,t) (3.4.10)





Expansion of the Universe

Expansion of the UniverseExpansion of the Universe


We were here yesterday.

We are here today.

We will be here tomorrow.

Arrow of Time

Temporal Reversibility

of Entity

Individual Temporal Reversibility

Adapted From: BT Solomon, Reaching The Stars: Interstellar Space Exploration Technology Initiative (iSETI) Report, 2003, ISBN 0-9720-116-3-3





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)






Expansion of the UniverseExpansion of the Universe


We were here yesterday.

We are here today.

We will be here tomorrow.

Collective Temporal

Reversibility

Entity’s Arrow of

Time

Time Travel with Collective Temporal Reversibility

Adapted From: BT Solomon, Reaching The Stars: Interstellar Space Exploration Technology Initiative (iSETI) Report, 2003, ISBN 0-9720-116-3-3





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 referenceFi = Frame i, ending state, i, frame of referenceN0,i = the null transformation for frame of reference from F0.





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)

n

m

x

y

Fn(x) ≠ Fn(y)

n





Requirements for “conventional” Interstellar Travel: The Duration Problem

Journey duration, D,

Dm,x,n > 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 ≠ yDm,y,n = travel duration between n and m via xDm,x,n = travel duration between n and m via ySm,y,n = travel distance between n and m via xSm,x,n = travel distance between n and m via y≤/≥ = any of, less than, equal to or greater

than relationship





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)

n

m

x

y

Fn(x) ≠ Fn(y)

n




The 5-Particle Box ParadoxThe 5-Particle Box Paradox

Particle A Particle B

Relative Velocity, VAB = 0

Distance, SAB = s

Particle C Particle D

Relative Velocity, VCD = 0

Distance, SCD = s

Distance, SAC = s

Distance, SBD = s

Relative Velocity, VAC = 0

Relative Velocity, VBD = 0

Particle E

Relative Velocity, VDE = v

Relative Velocity, VCE = v

Distance, SAE = s√(2-v2/c2)

Distance, SAD = s√(2)




Translocation Technology BasicsTranslocation 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 √(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.





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 (√[(xn- xm)2 + (yn- ym)2 + (zn- zm)2 ]) ≈ 0 (6.5)





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. Chernobrov’s work.





What will it look like?

One can infer the following technology characteristics,

1. The key characteristic is the technology’s ability to generate asymmetric transformations with respect to space and time.

2. The technology manipulates distance and not time. Time travel is incorrect.

3. The technology does not use velocity. Velocity causes both time dilation, and length contraction, simultaneously. We require only the second.

4. The technology does not use mass as a technology driver, as this induces relativistic effects with respect to time.

5. Therefore, one is left with fields. This technology will utilize field effects, not quantum effects, to achieve the translocation.




ConclusionConclusion

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.




BibliographyBibliography

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/0109/0109240.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




ContactContact

Ben Solomon

iSETI LLC

P.O. Box 831

Evergreen, CO 80437

Email: [email protected]

A Step Toward Translocation Technologies

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