Quantum Spacetime & Consciousness

8/13/2019 Quantum Spacetime & Consciousness

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Quantum Spacetime

and Consciousness

Philip J. Carter

This eprint represents an Invited Article

for theJournal of NeuroQuantology

http://www.neuroquantology.com

First published: 2 !ecember 2"#$

%ersion 2: # &anuary 2"#'

The current version of this eprint is archived at

http://vi(ra.org/abs/#$#2."2")

* +opyright ,hilip &. +arter 2"#$

philip -at esotec.org

http://physics.esotec.org

1
http://www.neuroquantology.com/index.php/journalhttp://vixra.org/abs/1312.0208http://physics.esotec.org/http://physics.esotec.org/http://vixra.org/abs/1312.0208http://www.neuroquantology.com/index.php/journal


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Abstract

A higherdimensional spacetime model is proposed0 accounting for nonlocal quantum phenomena while

embracing 1pecial elativity as a limiting case. The Aspect and 3egidish e(periments are e(plained

within this spacetime framewor4. Time is understood as spatial motion relative to higher dimensions0

offering the degrees of freedom demanded by nonlocal effects along with a consistent milieu for 5alu6a7s

8dimensional 9instein3a(well theory. 1pecial elativity and quantum mechanics converge in thehigher dimensions to yield the origins of mass while providing a geometrical mechanism relating mass

and spacetime curvature -gravity. ,art Two introduces a consciousness model within the higher

dimensional spacetime framewor40 integrating elements of physics0 psychology0 philosophy and

metaphysics. 9vidence from dreams is shown to correspond to both the physical model and the

consciousness model. A theory of perception is presented on the foregoing basis.

Keywords: consciousness0 quantum mechanics0 wavefunction0 relativity0 nonlocality0 entanglement0

space0 time0 spacetime0 mind0 perception0 qualia0 dreams0 branes0 imaginary dimensions0 higher

dimensions

2


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Contents

Introduction ....................................................................................................5

Part One: Quantum Spacetime

1.1 The Magical Wavefunction...............................................................................61.2 Special elativit! and Min"o#s"i Spacetime....................................................$

1.% The Transactional Interpretation of Quantum Mechanics...............................&

1.' (ropagation of the Wavefunction....................................................................)

1.5 * Spatial Conte+t for the Wavefunction.........................................................1,

1.6 The *spect -+periment in Min"o#s"i 'space...............................................1%

1.$ The Megidish -+periment in Min"o#s"i 5space...........................................1'

1.& The -mergence of Time..................................................................................15

1.) /alu0a and the 5rane...................................................................................16

1.1, elativit! and the rigin of Mass...................................................................1&

1.11 The 3ravitational Wavefunction.....................................................................1)

1.12 The Imaginar! 4allac!.....................................................................................2,1.1% The Man! Worlds of Quantum Spacetime.....................................................2,

Part Two: Consciousness and Perception

2.1 The -+perience of (henomenal Space...........................................................22

2.2 ective and Suective Space......................................................................22

2.% Mind and Matter............................................................................................2%

2.' Quantum Spacetime and the -soteric Model................................................2'

2.5 elativistic Motion in reams.........................................................................25

2.6 The Identit! of Space and Consciousness.......................................................26

2.$ The (h!sics of (erception...............................................................................2$

2.& (h!sics in the 'rane.....................................................................................%,2.) (h!sics in the 5rane.....................................................................................%1

2.1, -soteric Model of the 5rane........................................................................%%

2.11 The *stonishing Mind.....................................................................................%5

Conclusion ..................................................................................................%$

7otes .................................................................................................%)

eferences .................................................................................................',

3


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Figures

1 The comple+ #avefunction 8pure momentum state9.......................................$

2 Min"o#s"i spacetime.......................................................................................&

% The #avefunction as a standing #ave in pseudotime.....................................)

' * spatial model of the universe......................................................................1,5 Min"o#s"i 'space.........................................................................................11

6 7ull surface in Min"o#s"i 5space.................................................................12

$ The *spect e+periment in the 'rane...........................................................1%

& The Megidish e+periment in Min"o#s"i 'space...........................................1'

) Time and motion in the three ranes.............................................................16

1, Cross product of imaginar! dimensions.........................................................1$

11 * conte+t for /alu0a........................................................................................1$

12 The #avefunction in Min"o#s"i 5space........................................................1&

1% The domain of the #avefunction...................................................................1)

1' Quantum Spacetime and the Three Worlds...................................................2'

15 The process of visual perception....................................................................2&16 Suective perception of spatial e+tension in 5space...................................2)

1$ The oserver and his null surface...................................................................%,

1& Spacetime in the 'rane...............................................................................%,

1) Spacetime in the 5rane...............................................................................%2

2, -soteric model of the 5rane........................................................................%'

21 Consciousness in Quantum Spacetime...........................................................%$

4


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Introduction

That there is consciousness in the universe is undeniale. That science in general: and ph!sics in particular: do

not address this most stri"ing of all oservale phenomena is glaring. Consciousness: so central to our e+istence:

remains a m!ster!. ;A. Zee


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Part One

Quantum Spacetime

. The !agical "a#e$unction

Following from @ell7s theorem0 e(periments have demonstrated that the quantum wavefunction does not

abide by the laws of 1pecial elativity0 which limit signals to light speed 2B. uantum connection #hich deserve our close attention?

1. The >uantum connection is unattenuated?

The >uantum connection


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square to positive numbers0 there is no real number that squares to minus one0 meaning that imaginary

numbers find no correlate in our real $E# spacetime. They are therefore considered CunphysicalD0 as

mathematical abstractions having no ontological status in the universe. ?uantum mechanics directly

challenges this interpretation of imaginary numbers0 however. The originator of the transactional

interpretation of quantum mechanics0 &ohn . +ramer0 addresses the problem of complexityas follows

8B:

ne of the serious oections to Schr@dingerAs earl! semiclassical interpretation of the SB uantit!. Comple+ functions are also found in classical ph!sics: ut are invarial! interpreted

either 819 as an indication that the solution is unph!sical: as in the case of the orent0 transformations #ith vD c:

or 829 as a shorthand #a! of dealing #ith t#o independent and e>uall! valid solutions of the e>uations: one real

and one imaginar!: as in the case of comple+ electrical impedance. In the latter case the comple+ algera is

essentiall! a mathematical device for avoiding trigonometr!: and the ph!sical variales of interest are ultimatel!

e+tracted as the real 8or imaginar!9 part of the comple+ variales. 7ever in classical ph!sics is the full comple+

function Es#allo#ed #holeF as it is in >uantum mechanics. This is the prolem of comple+it!.

Figure # depicts the most regular wavefunction0 4nown as a pure momentum state0 which ta4es the form of

a heli( with the maor a(is oriented in some directionxin real space B. The 4ey point is that the general

wavefunction0 while considerably less regular than this0 will share the same dimensionality.


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displacementsin $E# spacetime. The metric appears with two signatures -sign conventions0 rendering

both timeli4e and spaceli4e displacements real. !isplacements sand lare 6ero on the light cone -hence the

term nullcone0 where the time component of the metric equals the resultant spatial component. =ence

are time and space entwined by the 3in4ows4i metric0 giving them an almost equal status0 but not quite.

1ignificantly0 time enters the metric with opposite sign to the spatial dimensions0 and while one can move

in any direction in space -or not move at all0 time flows irrevocably in ust one direction.

1pecial elativity restricts displacements to within the light cone0 imposing light speed as an upper limit0

while the light cone encompasses all possible causal relationships between an event at the origin and an

event in the past or future. +onsequently0 attempts to e(plain nonlocality on the basis of fasterthanlightparticles -tachyons have inevitably run into causal parado(es.

The timeli4e displacementsis interpreted as time experienced. 1ince photons adhere to the light cone0

where sJ "0 it follows that photons don7t e(perience time.

1pecial relativity has been tested to very high precision ; any theory of space and time must include it as a

limiting case.

.- The Transactional Interpretation o$ Quantum !echanics

The transactional interpretation -TI is not a new formulation of quantum mechanics but an alternative

interpretation of the standard formalism0 ma4ing identical predictions )B. riginator &ohn +ramer was inspired

by the absorbertheory of &ohn Archibald


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According to TI0 each quantum event involves a transactionbetween an emitterand an absorber. The

emitter sends out an Coffer waveD0 which at some time in the future is received by any number of

absorbers0 each of which sends a Cconfirmation waveD back in timeto the emitter. The emitter receives the

confirmation waves at the same instant that it emits the offer waveM +ramer describes the interaction as a

Chandsha4eD between the emitter and absorber0 occurring in what he calls CpseudotimeD.


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.0 A Spatial Conte*t $or the "a#e$unction

The demonstration of timeli4e nonlocality logically requires that time is more fundamentally a dimension

of space.


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$brane: s2Jx2E y2E2 -2

'brane: s2Jx2E y2E2E w2 -$

8brane: s2Jx2E y2E2E w2E v2 -'

-G.@. Throughout this wor40 imaginary coordinates are set in bold0 while differential and interval symbols

are generally omitted: the glyphsx0 y00 w0 v0 are applied as logical symbols and may denote an interval0 acoordinate0 or a dimension0 depending on conte(t.

The metric for the $brane is of course the familiar ,ythagorean theorem0 being the distance metric for

9uclidean $space. 9(perts will note that 3in4ows4i 'space corresponds to so called 9uclidean

spacetime0 where time is rotated on the comple( plane into Cimaginary timeD0 Jit. Imaginary time hasmany important applications in physics and plays a crucial role in Feynman7s path integral formulation of

quantum mechanics. 1ignificantly0 however0 here we understand the fourth -imaginary dimension as

spatial0 J w0 as shown in Figure 8.

3in4ows4i 'space -the 'brane provides a natural environment for the comple( wavefunction0 as the

reader may demonstrate by substituting Figure 8 for the comple( plane in Figure #0 with the imaginary

dimensions aligned. The imaginary dimension wcorresponds to thepseudo&timeof TI. Accordingly0 the

wavefunction can be understood as a standing wave e(tended in 3in4ows4i 'space0 confined to the

Cspaceli4eD region on or outside its null cone0 anchored in space for its entire e(istence0 from the moment

of emission until the moment of absorption0 while physical time -the present moment0 w J " passes over

it.

5eep in mind that there is no time dimension in 3in4ows4i 'space itself ; all four dimensions are spatial0

implying that the metric can be interpreted only as a measure of spatial distance. The null cone being

defined by s J "0 there is 6ero distance between any two points on the null cone0 presenting what appears

to be a parado(:

Q 9very point on a null cone represents a single location in 3in4ows4i 'space0 given by the origin.

11

w/i

x

The Realm

of Matter

(hoton

#avefun

ction(hoton#

avefunction

Wavefunction of

particle at rest

sH,sH, I

M*3I7*K

-*

Metric

ds2 H dx2 dy2 dz2 dw2

The Realm of

the Wavefunction

Figure 0 )!in(ows(i /space


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It follows that entities e(tended or separated in real $space can occupy one point in 3in4ows4i 'space0

given appropriate orientations or displacements in the wdirection. +oming to terms with this parado(0 as

we shall see0 requires a radical reconception of both space and consciousness. For now0 the reader is as4ed

to contemplate the logical consequence that0 while e(tended in three real dimensions0 a lightli4e

wavefunction adheres to its null cone and therefore occupies one location in 3in4ows4i 'space0 there

being no distance separating any parts of it. In a nutshell0 here is revealed the mystery of the holistic

wavefunction: the solution lies not in the wavefunction itself0 but more fundamentally in the hiddenstructure of space.

The wavefunction of a massive particle at rest propagates at infinite velocity0 or hori6ontally in Figure 80

and therefore does not adhere to a null cone in 3in4ows4i 'space. +onsequently0 it is required to be

oriented in the vdirection to meet a null geodesic in the 8brane -x2E y2E2E w2E v2J ". According to

this model0 the evidence demands that the following principle holds:

Q All wavefunctions adhere to null geodesics ; lightli4e wavefunctions adhere to a null cone in the '

brane0 while massive particle wavefunctions adhere to a null surface in the 8brane. A wavefunction

cannot e(ist off of a null surface. It follows that0 while e(tended in three real and two imaginary

dimensions0 each wavefunction occupies ust one location in the 8brane0 defined by the origin of a null

surface.

The structure of 3in4ows4i 8space0 representing the local spatial geometry of the 8brane0 is illustrated in

Figure . &ust one real dimension -x is shown0 pointing in some direction in real space0 the wand v

dimensions being imaginary. The plane corresponds to 3in4ows4i 'space0 which intersects the 8

dimensional null surface at the 'dimensional null cone. Analogous to the null cone in 3in4ows4i 'space0

the null surface represents a single location in 3in4ows4i 8space. According to the 8dimensional metric0

the null surface is proected in the vdirection only from the Cspaceli4eD regions of 3in4ows4i 'space ; a

fact providing insight into the divergent properties of matter and the wavefunction.

As a direct consequence of this model0 two distinct wavefunctions0 on separated null cones in 3in4ows4i

'space0 can be proected onto one null surface in 3in4ows4i 8space ; that is0 by a suitable displacement

in the vdirection they become one entangled wavefunction in the 8brane. It follows that there are two

levels of quantum nonlocality0 corresponding to localityin the 'brane and the 8brane. Turning this

around0 a more accurate picture would be to consider highly unified structures in the 8brane being

12

w/i

x

v/i

Figure 1 )2ull sur$ace in !in(ows(i 0/space

sH,

sH,


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proected into spatially separated structures in the 'brane0 then again into still greater diversity in the $

brane. It is suggested that the holistic structures in the 8brane can in principle provide a mechanism

upholding causality within the system while avoiding the causal parado(es typically dogging fasterthan

light schemes.

.1 The Aspect 3*periment in !in(ows(i /space

To test out these ideas0 let us see what we can ma4e of the Aspect e(periment in the conte(t of 3in4ows4i

'space. For the sa4e of e(pediency0 ust the bare facts are presented here. 9ntangled photons0 produced at

the same time by the same source0 are 4nown to always share the same polari6ation0 the light waves ta4ing

some preferred a(is normal to the a(is of propagation. Aspect et al. sent pairs of entangled photons in

opposite directions through polari6ers to detectors situated some twelve meters apart. @y cleverly

measuring the polari6ation of the photon pairs at opposite wings of the e(periment0 Aspect demonstrated

that)ell*s inequality was violated+establishing quantum nonlocality as an empirical fact of Gature #"B.

Figure H depicts the Aspect e(periment in the conte(t of 3in4ows4i 'space. Three stages of the

e(periment are shown0 advancing in time from left to right. Gote that the two wings are of different

lengths to emphasi6e that one photon will always be absorbed before the other.

a. The left diagram illustrates the moment in time when the photon pair are created. 1ince spatial distance

on the null cone is 6ero0 the complete offer waves and confirmation waves occupy the same location in

3in4ows4i 'space. This picture therefore manifests spontaneously0 with both wings constituting one

holistic wavefunction. ntil the transaction is complete0 the entire wavefunction is confined to its null

cone -birth cone in 3in4ows4i 'space0 while physical time -w J " passes over it.

b. The center diagram illustrates the moment when the first photon is absorbed. 1ince time has passed0the dimension whas moved downwards along with the wavefunction -thexa(is0 the present moment0

has moved up. It is observed that the photon7s polari6ation will either match the polari6er a(is0 passing

through to be absorbed by the detector0 or will be normalto the polari6er a(is0 to be absorbed by the

polari6er. >f relevance here is that this process occurs across both space and time -from our perspective

in the $brane0 spontaneously throughout the spatiotemporally holistic wavefunction. pon

absorption0 ust this one wing of the wavefunction spontaneously collapses0 being the process of state

reduction0 which is not our primary focus here ##B.

13

8a9 89 8c9

sH, sH,

-mitter

eft

asorer

ight

asorer

w/i

x

x

x

w/i w/i

Figure 4 )The Aspect e*periment in the /brane


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c. The third diagram illustrates the moment in time when the second photon is absorbed. The same

process occurs as for the first photon0 with the e(ception that the polari6ation of the second photon has

already been determined by the first measurement according to conservation laws. Therefore0 the

measured polari6ation of the pair will always correlate.

Another way of understanding this phenomenon is to imagine that the wavefunction is animated by the

passage of time over it and can change its state only when so animated.


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Figure ) illustrates the e(periment in the conte(t of 3in4ows4i 'space. The general principles are

analogous to the Aspect e(periment and don7t need to be repeated here. >ne might imagine thexa(is

moving upwards0 from ato e0 corresponding to a physical timeline0 as follows:

a. A photon pair is created in a ma(imally entangled state ; photons # and 2.

b. A polari6ation measurement is performed on photon #.

c. A second entangled photon pair is created0 photons $ and '.

d. A @ell 1tate proection measurement is performed on photons 2 and $0 entangling them.

e. ,olari6ation measurement of photon ' demonstrates correlation with photon #.

,hoton # and ' are thus shown to be entangled0 even though they never coe(isted.

The e(periment can be understood according to the same general principles underlying the Aspect

e(periment0 with one glaring e(ception: ur e(planation of the 3egidish e(periment

consequently boils down to understanding how separated particles can become entangled through @ell

1tate proections.

A vital clue is that the @ell 1tate proection measurement protocol involves the simultaneousmeasurement

of photons 2 and $. The measurement process collapses each wavefunction to an eigenstate of the

measurement basis0 relocated in 3in4ows4i 'space onto null cones originating at the events. @ecause

these null cones have the same wcoordinate -the measurements are simultaneous0 they are spacelike

separated; that is0 each origin is outside the other null cone. This turns out to be crucial0 as the reader

may demonstrate by referring to Figure . >nly spaceli4e separated particles in 3in4ows4i 'space can be

proected to each others null surface in 3in4ows4i 8space. ne could visuali6e the process in Figure ) as a null surface e(tending out of the page

from one of the null cones0 with the other null cone -defined by its origin proected onto it0 thus

entangling the two photon pairs.

ather than thin4ing in terms of wavefunctions0 it can be useful to view entanglement in terms of null

cones and null surfaces in 3in4ows4i 'space and 8space. In general0 two wavefunctions may be

considered entangled if the null cone/surface of one -defined by its origin intersects anywhere the null

cone/surface of the other.

.5 The 3mergence o$ Time

The arrow of time demands that the imaginary dimension wbe in motion relative to the three real

dimensions0 with each moment of time in our $space corresponding to a slice of the 'brane at some

coordinate w. enerali6ing:

Q Time is spatial motion relative to a higher dimension. @oth time and energy originate in spatial motions

of the imaginary dimensions wand vrelative to each other and to the three real dimensions.


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the 'brane corresponds to spatial motion of all four dimensions relative to the imaginary dimension v.

3oreover0 these spatial motions require that the 8brane itself includes a time dimension0 understood as

motion of the 8brane relative to some higher dimension -call it u0 which is itself static and not otherwise

relevant to our current discussion.

From this model it becomes clear how so called Cimaginary timeD -which is in fact motion of the imaginary

dimension w becomes rotated into real time as we e(perience it in our world. If we assume time in the 8brane -t( to be real0 time in the 'brane corresponds to motion of the imaginary dimension vin real time0

so 'brane time is imaginary-t4J v/t(. Accordingly0 time in our $brane -t, corresponds to motion of

the imaginary dimension win imaginary time -t40 yielding real time -t,J w/t4. It follows that physical

time enters into the 3in4ows4i metric for $E# spacetime as a real quantity0 which will always be positive

when squared. =owever0 as a subtle twist0 we note that physical time t,and the associated spatial motion

are of opposite sense ; while the imaginary dimension wmoves from the future to the past0 time t,moves

from the past to the future. +onsequently0 when substituted into the spatial metric for 3in4ows4i 'space0

time t,adopts a minus sign0 yielding the correct spaceli4e metric for 3in4ows4i $E# spacetime:

l2Jx2E y2E2; t,2 -8

The alert reader might legitimately complain that we have not solved the problem of time at all0 but haveust pushed it further bac4 to une(plained spatial motions.


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real0 in contrast to the imaginary fourth dimension of 3in4ows4i 'space. To address this question we

must introduce an important principle #'B:

Q Two imaginary dimensions may combine as a cross product to proect an orthogonal real dimension0 in

accordance with standard algebraic rules.

Figure #" illustrates the algebraic rule0 the cross product of two orthogonal imaginary dimensions

proecting a mutually orthogonal real dimension0 the magnitude being defined by their product0 which is

real. Accordingly0 it is proposed that the imaginary wand vdimensions together proect a fourth

-negative real dimension into the 8brane0 as schematically illustrated in Figure ##. Gote that the

imaginary algebra forces upon us the notion that spatial dimensions are polari6ed ; what e(perts might

understand as handedness. If we assume the dimensionswand vto be of the same polarity0 the algebra

dictates that the fourth real dimension be negative. It follows that the 8brane can be considered a 8

space0 with two dimensions imaginary0 or it may be considered a real 'space0 the fourth spatial dimension

being in some sense negative in relation to the first three dimensions. This demarcation will prove

important to what follows.

The cylinder condition imposed on the fourth spatial dimension has drawn criticism that 5alu6a7s theory isarbitrary and contrived0 there being no ustification for preventing the fourth dimension from appearing

directly in the physics of $E# spacetime. After all0 what ma4es one real dimension different from any

otherN =ere we find an answer in the negative polarity of the fourth real dimension. The model suggests

that positive real fields cannot spread into negative real dimensions0 nor into imaginary dimensions. They

are each of a different spatial order.

17

v

w

w+veal

Imaginar!

Imaginar!

Area

real

m

Figure 9 )Cross product o$ imaginar' dimensions

'rane

%rane

5rane;

;

; ;

/alu0a

-insteinMa+#ell

Figure )A conte*t $or 7alu8a


18/40

1ince both dimensions wand vare in motion0 the fourth real dimension mmust also be in motion ; the

motion of real space in real time equates to real energy0 e(plaining the vast reservoir of energy

constituting the electromagnetic field as derived by 5alu6a. =ere we find important insights into the

mysterious relationship between energy and time.

.9 &elati#it' and the Origin o$ !ass

eneral elativity formulates gravity as curvature of $E# spacetime0 which is notoriously difficult to

visuali6e. 9quivalently0 the reader may find it easier to visuali6e curvature of the 'brane0 all four

dimensions at least being spatial.


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>n this basis we introduce the following proposal:

Q 3ass is proportional to the frequency of the wavefunction relative to the vdimension.

ecall that the vand wdimensions are in motion relative to each other and to the real dimensions. The

wavefunction is a standing wave0 anchored in space from emission until absorption0 while time -the

present moment moves over it in the 'brane and 8brane. According to this model0 the motion of time -v

J " relative to the wavefunction generates the phenomenon called mass.

Gote that the proection ! will have a higher frequency -shorter wavelength relative to the vdimension

than will the proection of the stationary e(ample @0 implying that the mass of a particle increases with

velocity. @eginning with the metric for 3in4ows4i 8space -' along with the wavefunction propagation

formula -#0 it is a trivial e(ercise to demonstrate that this model yields the correct Oorent6 transformation

according to 1pecial elativity.

. The ra#itational "a#e$unction

An obective wave implies an e(citation of some obective field or medium. A radio wave is an e(citation of

the electromagnetic fieldK sound waves are e(citations of the atmosphereK ocean waves emerge from the

motion of water. r0 more precisely0 what sort of obective fieldor medium could be e(tended in both real and imaginary dimensionsN

It seems reasonable to assume that obective fields or media can be either real or imaginaryK they cannot

be both0 ust as one cannot represent imaginary quantities in a real space or real quantities in an

imaginary space. eal and imaginary dimensions are of a different order. 3oreover0 since the

wavefunction is the primary entity underpinning all matter0 the wavefunction must precede matter ; that

is0 it cannot be in any way CmaterialD.

These arguments may seem redundant0 however0 in the face of the fact that the 8dimensional

wavefunction is required to appear also -in lowerdimensional form in the 'brane and $brane. 1ince

matter fields are confined to branes0 only a gravitational wave can perform the magic of the wavefunction

by passing freely through and between branes. That is0 for the current framewor4 to be consistent0 it is

required that the wavefunction be a gravitational wave. It follows that the appearance of the holistic

gravitational wavefunction on each dimension of each brane establishes e(plicit causal structures

throughout ?uantum 1pacetime.

A consequence of weighty philosophical proportions drops out of this model0 as follows:

#. According to quantum mechanics0 the wavefunction0 or quantum state0 is the fundamental entity

underlying all physical matter throughout our universe.

2. The wavefunction appears simultaneously in the $brane0 'brane0 and 8brane.

19

'rane

%rane

5rane

=

=

t5

t4H v t5

t3H w t4

Figure - )The domain o$ the wa#e$unction


20/40

$. It follows that everything e(istent in our physical universe is also represented -in some sense in the '

brane and 8brane.


21/40

It is not hard to spot the fallacy in such a position. @roadly spea4ing0 two types of law are found in physics:

structural laws0 embodying a coherent logical system or structureK and input parameters0 which are

numbers. In principle0 one could e(plain all the free parameters of the standard model of particle physics0

and perhaps even of string theory0 and still 4now nothing about the mechanism behind quantum

nonlocality. >ne would assume the mechanism of nonlocality to be highly speciali6ed and therefore similar

-if not identical to that found in other universes0 ust as the principles of 9uclidean geometry should be no

different in other $E# spacetimes. egardless of how many universes might e(ist0 nonlocality remains aproperty of our universe that demands an e(planation in terms of our universe. If we can7t solve

nonlocality in our universe0 it is difficult to imagine how we could solve it in others.

To use a crude analogy0 one could try to e(plain unli4ely occurrences on a chess board by speculating that

the board is one of a vast ensemble. @y the laws of probability0 eventually you will find a board where these

unli4ely things will occur. That is the multiverse position. The other approach0 of course0 is to stac4 more

chess boards above the first and play $dimensional chess ; then these unli4ely occurrences are revealed

to be logical consequences of the $dimensional game -structural law.

In ,art >ne I have attempted to s4etch out the essential logical structure of what could be called,%

physics0 e(tending quantum mechanics and relativity theory consistently into higher dimensions0 with our

$brane ta4ing its place as the lowest of three interpenetrating worlds. 1pecial elativity and the quantumwavefunction reach up into this space to their meeting place0 where they encounter mass and gravity0

woven into the higherdimensional geometry of spacetime. According to this model0 there are indeed

Cother worldsD0 but they are not far away in space or time. They are right here0 in and around us0 the three

branes together forming a coherent0 holistic structure and system. To understand the physics of our

physical world0 we must therefore understand the physics of the system. That is0 to solve physics we must

include the 'brane and 8brane.


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Part Two

Consciousness and Perception

%. The 3*perience o$ Phenomenal Space

@efore approaching any theory0 it is essential that we clearly describe or define the phenomenon we are

attempting to e(plain. ur phenomenal e(perience includes a variety of spatial types or qualities. 3ost obviously0 our picture of

the world0 derived from sensory input0 appears in our consciousness e(tended in three dimensions.

1imilarly0 when we dream0 visuali6e a scene0 or recall an event0 our e(perience ta4es place in a three

dimensional phenomenal space0 this time independently of the physical senses. The important point is

that0 whether derived from the senses or not0 from the point of view of the observer this threedimensional

space is an objectivespace0 containing differentiated obects.

The terms objectiveand subjectiveare conventionally applied to our e(perience of the world through the

senses -obective and of phenomenal consciousness -subective. As philosophers of every persuasionhave noted0 however0 upon closer analysis this demarcation brea4s down: our e(perience of the CobectiveD

world is ultimately subective ; we e(perience the world in our mind. bective consciousness is the e(perience of obective space0 e(tended in three real dimensions0

containing differentiated obects.

22


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Q 1ubective consciousness is the e(perience of subective space0 which is une(tended0 containing

qualities -qualia.

+onsider living in a twodimensional space. As you loo4 around with your twodimensional eyes0 what do

you seeN Gothing0 because there is nothing there. 1ince nothing has any height0 volume0 or substance in

your twodimensional world0 it could hardly be called obective. 3oreover0 nobody 4nows how to visuali6e

a fourdimensional space. =uman consciousness seems to pic4 out three real dimensions as special0 what

we will call objectivespace0 whether e(perienced in the world0 in a dream0 or in a musing.

@eneath the obective modes of consciousness lies truly subective e(perience0 qualia0 having no

representation in obective space at all. ?ualia have no shape0 si6e or measurable attributes.


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is characteristic of dualistic theories of consciousness: if consciousness is something other than a physical

phenomenon0 how can CimmaterialD consciousness influence physical matter -the brain0 or vice versaN

3ore specifically0 how can our conscious e(perience0 ta4ing place in phenomenal space0 be causally related

to events ta4ing place in physical spaceN


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Q The astral -emotional plane corresponds to the 'brane and is home to the subconscious mind.

According to the esoteric adepts0 we e(perience the 'brane in our dreams.

Q The mental plane corresponds to the 8brane0 and li4e the 8brane is divided into higher and lower

regions: the abstract mind and the rational -obective mind0 characteri6ed by ,lato7s1deasand2orms.

The higher -imaginary realm is considered formless0 while the lower -real realm contains -thought

forms.


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and wreduces distances in 3in4ows4i 'space0 we are brought to the following proposal0 representing an

e(plicit convergence of physics and consciousness:

Q The imaginary dimension win the 'brane can be identified with the emotional consciousness0 the

subective or subconscious mind.

Through the recollection of dreams -or better yet0 lucid dreaming0 the reader might gather personal

insights into the mysterious dual nature of the imaginary dimensions:

Q Imaginary dimensions are dimensions of space0 woven into the geometry of space.

Q Imaginary dimensions are dimensions -qualities of consciousness.

%.1 The Identit' o$ Space and Consciousness

The identity of space and consciousness is a central tenet of the esoteric tradition. +onsider the following

declarations0 each from an esoteric author of the modern era:

Space is Consciousness.


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course0 so we infer that the three dimensions of the world are the same three dimensions constituting our

obective consciousness0 as they manifest in each of the three worlds -branes. It would thus appear that

we are living within a consciousness0 and each of us are li4e Ideas within it.

%.4 The Ph'sics o$ Perception

At school we learned that we see not the world itself0 but photons reflected or emitted by the world0 which

impinge upon the retina of the eye and CsomehowD produce a picture in the mind. As 5ant observed0 the

world itself remains inaccessible to us. 1imilarly0 each of the physical senses can be reduced to an action of

the electromagnetic force.


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the brain is fundamentally wavefunctions0 all of which are e(tended in five dimensions0 allowing the brain

to interact with corresponding structures in the 'brane and 8brane.


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appears to e(tend beyond mere optics0 being more a senseorfeelingthan a visual perception. This

becomes most apparent when we are startled by some une(pected event ; a sudden happening in our

midst provo4es a very different emotional response than would the same event at a distance.


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e(perience reflects the obective0 and vice versa.

A consequence of profound philosophical relevance emerges from this model. 1ince the observer7s null

surface is defined by five coordinates in 3in4ows4i 8space0 it follows that the observer himself must be

located in 3in4ows4i 8space ; in the 8brane0 the mental plane. As we shall see0 the esoteric adepts say

e(actly that.

The process of perception0 e(plicitly relating obective and subective space0 is reversible according to a

process 4nown esoterically as Cthe formproducing faculty of the mindD.

Q &ust as the perception of real -obective space can be encoded subectively in imaginary dimensions0

subective consciousness can proect corresponding threedimensional forms into obective space.

3ental activity proects forms into obective space in the 8brane0 4nown as thoughtforms+while

emotional activity proects forms into obective space in the 'brane0 as we 4now from our dreams. All this

is made possible by the mediation of the 8dimensional wavefunction0 being ripples in the fabric of

spacetime0 adhering to the observer7s null surface and set in motion by the movement of consciousness0

which is itself a spatial motion0 hence energetic.

%.5 Ph'sics in the /brane

9vidence for the formproducing faculty of the mind is no further away than our dreams. >ur ability to

conure up anything in our dream space0 or to change our environment through an action of the mind0 is a

universal characteristic of dreams. To understand how this wor4s we begin by revisiting spacetime in the

'brane0 as depicted in Figure #). +learly0 the 'brane is a very different world from our $brane.


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obective space with energetic potential. The esoteric adepts call this the astral lightdue to its translucent0

shimmering0 CstarryD -astral appearance when in its primordial state ; before being modified by minds. It

has been described as an aethereal0 energetic0 CplasticD material that can form itself into any shape or

appearance imaginable.

@y the process described in the previous section0 the mind proects thoughtforms into obective space in

the 8brane. These same wavefunctions appear also in the 'brane0 where directed mental and emotional

attention will energi6e them sufficiently to e(cite the astral light into action0 manifesting obective three

dimensional forms representing the mental thoughtform embellished by the subconscious mind -win the

'brane. From an e(periential perspective0 obert ur perception of obective forms in the 'brane mirrors the corresponding

process in the $brane0 as described above0 implying that the observer has access to sensory apparatus inthe astral body as he does in the physical.

%.6 Ph'sics in the 0/brane

The esoteric adepts regard the 8brane -the mental plane as the most comple( and intricate of all the

planes of being0 which is appropriate for a world that stands between +reation and the ncreated0 between

form and formlessness0 between time and eternity. @eing the first of the three worlds constituting

?uantum 1pacetime0 the 8brane is the cornerstone of obective reality.

31


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First of all0 note that the 8brane includes an obective space0 coincident with those in the $brane and '

brane0 and thus must be considered an obective world. As e(plained in the conte(t of 5alu6a7s 9instein

3a(well theory0 the 8brane may be considered a 8space0 two dimensions being imaginary0 or as a real '

space0 the fourth real dimension being in some sense negative. Thus0 the 8brane is effectively two worlds0

bordering the divide between the subective and obective realms of reality. The subective realm is

characteri6ed by the native -subective consciousness implicit in the wand vdimensions0 while

consciousness in the obective realm is characteri6ed by the fourth real dimension m0 constituting the realcross product of wand v.

The 8brane is animated by the spatial motions of the imaginary dimensions wand vrelative to each

other and to the three real dimensions. It follows that the composite real dimension mis also in motion ;

realmotion -real space over real time0 which equates to the primordial appearance of realenergy.

1imilarly0 5alu6a7s theory derives the electromagnetic fielde(tending throughout the first three

dimensions of a 'space. Analogous to the astral light in the 'brane0 this real energy manifests

spontaneously throughout obective space in the 8brane0 constituting a subtle universal field supporting

the creation of obective thoughtforms.

The fourth real dimension mis 4nown as the objectivemind0 the rational0 logical mind dominating our

normal wa4ing state. @eing real0 it is characteri6ed by a sense of e(tension0 as when performing logical

operations in consciousness0 for instance. -Gote that two bits are required to do logic0 ust as two

subective principles constitute our logical mind. @y the formproducing faculty of the mind0 the obective

mind endlessly proects thoughtforms into obective space in the 8brane ; a process 4nown as thinking. It

can indeed be said that Cthoughts are thingsD in the 8brane0 and you see them with your mind7s eye0 quite

literally -being the senses of the mental body0 which locali6es the obective mind in the 8brane.


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The human mind and the universe are ordered according to the same archet!pal structures or essences: ecause

of #hich: and onl! ecause of #hich: true understanding of things is possile for the human intelligence.

3athematical readers may have noted that the spatial structure of the causal world0 ,lato7s transcendental

realm of Ideas and Archetypes0 provides a conte(t for fractal geometry invo4ing comple( functions0 such

as the 3andelbrot and &ulia sets.

%.9 3soteric !odel o$ the 0/brane

=aving reduced physics to a series of three interpenetrating branes brought to life by the motion of two

imaginary dimensions0 we are left to consider the origin of these mysterious CmotionsD powering all

manifestation in the three worlds of ?uantum 1pacetime. The answer comes from esoteric philosophy and

is offered as a consistent hypothesis. =aving ventured beyond time and form0 we find ourselves hopelessly

outside the domain of empirical guidance0 so we are left to consider some insights of those who have

e(plored the higher branes ; in their consciousness ; down through the ages.

First0 as noted above0 the motions of the wand vdimensions in the 8brane are imaginary -imaginary

space over real time0 meaning subjective. They therefore represent the movement of consciousness0

implying some sort of subective conscious process 0but whatconsciousness0 or whose consciousnessN

According to the esoteric tradition0 cosmogenesis rests upon a principle of great logical elegance and

simplicity0 sometimes called the law of generation0 as follows:

Q The interaction of two polari6ed principles manifests a third principle of a different order.

1uch processes can be observed throughout Gature. The chemical atom0 for instance0 could be considered

a different order of matter compared to the isolated nucleus and electrons that compose it. An electric cell

or battery provides another simple e(ampleK the potential is not reali6ed until the electrodes are allowed to

interact0 closing the circuit while manifesting currents and associated fields0 processes of a different order.

1uch a threefold system is 4nown esoterically as a triadand is considered fundamental to all

manifestation.

According to the esoteric tradition0 all things reduce to one thing ; bare subectivity0 imaginary space ;

4nown in the ree4 mystery schools as the4ogos. This one thing presents itself as two polari6ed principles

which in turn yield a third0 completing what is 4nown as theprimary triadconsisting of three4ogoior

conscious creative principles. The 5hird 4ogosis described as active intelligenceand is considered the

fountainhead of the lower triad0 the three worlds.

The esoteric doctrine of the three Oogoi ; the primary triad ; is reflected of course in the theological

5rinity0 though in a heavily veiled and anthropomorphi6ed form0 missing the cosmological perspective

and logical precision of the esoteric model. >ur purpose here is not to unveil the mysteries of the primary

triad itself0 but to e(tend our understanding of the Third Oogos0 as reported by the adepts0 in the conte(t of

?uantum 1pacetime.

@eing a subective principle0 the Third Oogos itself manifests in the 8brane as a triad0 in accordance withthe law of generation. The transcendental consciousness of the Third Oogos presents itself as two

principles0 manifesting as the subective wand vdimensions of the 8brane0 which in turn yield a third

principle of a different order ; the real dimension m -interpreted mathematically as a cross product. To

emphasi6e the universality of this esoteric teaching0 we include here both 9astern and


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Q 6rana-1ans4rit07nergia-ree4: Cuniversal lifeforceD -neutral.

5undalini -3agnes and Fohat -!ynamis are regarded as subective0 withinGature everywhere. ,rana

-9nergia is differentK it is an obective energy which interacts directly with physical matter0 including the

physical body. At a more fundamental level0 ,rana becomesphysical matter. Gote that while 5undalini

-dimension w and Fohat -dimensionv are polari6ed relative to each other0 both dimensions -and hence

the Third Oogos herself are considered spatially negative -feminine.

The esoteric model divides the mental plane into seven subplanes0 dimly recalled by the +hristian

tradition as Cthe seven heavensD together constituting Cthe realm of the =oly 1piritD. The observer is

4nown in 1ans4rit as/hamkara0 CI am the doerD0 orJivatman0 Cliving selfD0 or in modern esoterics as the

8eincarnating 7go0 and is placed at the lowest abstractlevel of the 8brane0 in precise agreement with our

model of ?uantum 1pacetime. This is where CyouD ; the observer0 the watcher0 the thin4er ; e(ist in

cosmic space0 suspended by your null surface between subective and obective layers of reality0 between

consciousness and matter. According to the adepts0 the observer is locali6ed in the causal world by the

causal body0 which is not a body at all -there being no obective forms in this realm0 but a highly

structured Idea or Archetype which persists life after life $#B.

The 1ans4rit wordpranarefers to the energetic -spatial aspect of the fourth real dimension m0 while the

consciousness aspect is 4nown to the adepts as manas0 meaning Cmind0 mentality0 discrimination0

intentionD. The Tibetan adept !wal 5hul defines manasas follows $2B:

Manas is electricit!.

Manas is that #hich produces cohesion.

Manas is the intelligent #ill or ordered purpose of an e+istence.

Gote that0 according to !wal 5hul0 manasis both an obective energy -electricity and a principle of

consciousness -intelligent will. According to 5alu6a0 the geometry of spacetime in the 8brane manifests

electromagnetism obeying 3a(well7s laws0 while physicists will recogni6e Cthat which produces cohesionD

as the electromagnetic force -cohering atoms and molecules0 hence matter. 1o the scientist and the

esotericist agree that electromagnetism manifests in the 8brane $$B.


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been variously described as a breath or a wind -6neuma: ree408uach: =ebrew0 or as a fire or light

-Shekinah: =ebrew0Shakti: 1ans4rit0 all invo4ing the image of subective consciousness moving in

abstract space. The adepts of the oman mystery schools simply called it"otion. In 9enesis .:;it is

written:

*nd the earth #as #ithout form: and voidN and dar"ness #as upon the face of the deep. *nd the Spirit of 3od

moved upon the face of the #aters.

3otion is a universal characteristic of the Third Oogos0 as described in the esoteric literature and in

scripture across traditions0 while wateris an esoteric symbol for subjectivity. =ence do esoteric

philosophy and ?uantum 1pacetime converge upon a seminal conclusion0 scientifically0 philosophically

and theologically:

Q >ur obective universe issues from a subective principle -consciousness0 manifesting as space0 in

motion -time.

,lato writes in his dialogue 5imaeus:

Time and the heaven came into eing at the same instant... Wherefore he resolved to have a moving image of

eternit!: and #hen he set in order the heaven: he made this image eternal ut moving according to numer:

#hile eternit! itself rests in unit!N and this image #e call time.

+orrectly understood0 esoteric cosmology is imbued with a logical elegance and sophistication far

surpassing that of contemporary physical cosmology0 or anything concocted by modern minds. ntil a

more consistent e(planation for the origin of time is at hand ; or for the origin of the obective universe ;

I thin4 it fair to let this hypothesis stand.

%. The Astonishing !ind

The observer0 the thin4er0 the e(periencer0 the 1elf that stays with us throughout our earthly life0 never

descends from its lofty perch on the abstract levels of the 8brane0 from where it proects its null surface ;

its conscious perception ; into the three worlds. From this observercentric perspective0 let us revisit our

perception of the physical world0 the $brane0 in the conte(t of ?uantum 1pacetime. =ow e(actly do weerect our picture of the world in our mindN

An important insight comes from psychophysics e(periments showing that our consciousness embellishes

our perceptions0 that Cin vision0 we do not perceive the world as it actually is0 but as the brain computes it

most probably to beD $8B.


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Gow we e(tend this picture to millions of photons0 corresponding to the millions of photoreceptor cells in

the retina. The spatial location -relative to the observer7s viewpoint and the frequency -color of each

photon are encoded in the wand vdimensions of the observer7s null surface0 which are themselves

imaginary and therefore unable to directly represent e(tension in obective space. >ur directperception0

therefore0 is purely abstract and subective -qualia0 and certainly not a Cpicture of the worldD e(tended in

three real dimensions. For that picture to come about0 one final vital step must be ta4en ; a process which0

in a sense0 defines us as human. The qualia must be distributed in real space and time.

The perception encoded in the imaginary dimensions of the observer7s null surface is presented -as a cross

product to the observer7s obective mind0 the real dimension m0 which applies its powers of memory and

discrimination to recognieand understandwhat is perceived0 to place the perception in conte(t. This

conceptual activity of the obective mind -manas manifests as a thought0 a mental conception0 which

includes both spatial and noumenal components. Gature ta4es over from here ; the thought seed is

proected into obective space by the formproducing faculty of the mind0 generating a thoughtform

spatially coincidentwith the physical scene in three real dimensions0 but entirely in the (&brane0 where it

is perceived by the senses of the mental body ; that is0 with the mind7s eye. This mental perception we call

Cthe worldD.

1everal important ideas are included in the above:

Q


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Conclusion

!uring a public lecture introducing his boo4 5ime 8eborn0 the thoughtful physicist Oee 1molin made apertinent comment. pon mentioning the parallels between his own wor4 and that of theologian

colleagues0 he e(pressed his concern about Cunconscious lea4ageD between the two disciplines $B:

I #orr! aout unconscious lea"age from theological issues to scientific issues: rought aout ecause the people

#ho invented this #a! of doing ph!sics #ere >uite religious ; people li"e Isaac 7e#ton: he #as deepl! religious.

So if there is a parallel to religious dilemmas and theological dilemmas: itAs not an accident.

I wish to argue that science0 and in particular physics0 have indeed been hindered by deeply entrenched

philosophical and theological predispositions0 tracing their roots bac4 to the early centuries of +hristianity

and before. ,hilosophical thought since antiquity can be demarcated into two lines0 as demonstrated by

the contrasting philosophies of Aristotle and his teacher ,lato.


38/40

oing beyond even the idealism of ,lato0 the gnostics considered physical reality ust one of many realms0

and a CcorruptD shadow of the real. The orthodo( too4 the opposing view: thisis od7s 5ingdom0 and

+hrist will returnphysicallywith his angels to redeem the faithful.

The relationship between the orthodo( and the gnostics was not a happy one. =istory records a fierce

theological battle between these two schools of thought0 culminating in the destruction of the gnostics and

their writings. 3y point is this: these events still live on in our racial memory0 and following two millennia

dominated by orthodo(y we unwittingly adopt the orthodo( view0 while considering the gnostic -,latonic

position CabsurdD or CirrationalD0 or ust downright Cspoo4yD.


39/40

2otes

#. ee -2""H0 p. 2HP.

2. @ell7s theorem itself is not discussed hereK readers will find a clear description in 3audlin -2"##

$. 3audlin -2"##0 p. 2#2$.

'. 3egidish et al. -2"##.

8. +ramer -#P)0 p. 8$.. ,enrose -2""'0 p. 8"P.

H. ,usey et al. -2"##0 2"#2.

). +ramer -#P).

P. de 3atos -2"#".7

#". For clear descriptions of @ell7s theorem and the Aspect e(periment0 see 3audlin -2"##.

##. 1tate reduction is treated in the conte(t of this framewor4 in +arter -2"#2.

#2. 3egidish et al. -2"##.

#$. >verduin et al. -#PP).

#'. eaders as4ing if our positive real dimensions might also be proected from imaginary dimensions

will find speculations along these lines in +arter -2"#2

#8. Gahin -#PP)0 p.K ,enrose -2""'0 pp. #"$';$8.#. 3cinn -#PP80 1mythies -2""$.

#H. 1chrLdinger -#P8).

#). @ailey -#P280 %allyon -2""H.

#P. 1ee +arter -2"#2.

2".


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&e$erences

@ailey AA. A Treatise on +osmic Fire. Oucis ,ublishing +ompany0 Gew Ror40 #P28.

@lavats4y =,. The 1ecret !octrine0 %olumes # U 2. Theosophical niversity ,ress0 ,asadena +A0 #))).

+arter ,&. Imaginary ,hysics. 2"#2.http://vi(ra.org/abs/#2#"."#2'

+ramer &. The transactional interpretation of quantum mechanics. eviews of 3odern ,hysics0 %ol. 8)0 Go. $0 &uly

#P). The American ,hysical 1ociety0 #P). http://mist.npl.washington.edu/npl/intVrep/tiqm/TIVtoc.html

de 3atos +&. n the reality of the quantum state. 2"#2. http://ar(iv.org/abs/####.$$2)

1chrLdinger 9. 3ind and 3atter. +ambridge niversity ,ress0 #P8).

1molin O. Time eborn. ,erimeter Institute ,ublic Oecture 1eries. 2"#$.

http://www.perimeterinstitute.ca/videos/timereborn-W'E minutes.

1mythies &. 1pace0 Time and +onsciousness. &ournal of +onsciousness 1tudies0 #"0 Go. $0 2""$0 pp. 'H;8.

http://www.imprint.co.u4/pdf/smythies.pdf

Tarnas . The ,assion of the

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Quantum Spacetime & Consciousness