Article View: sci.physics
Article #8786Script for Physics CD & HTML
From: Jack Sarfatti
Date: Sun, 11 Dec 1994 23:54
Date: Sun, 11 Dec 1994 23:54
650 lines
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29541 bytes
We have been having a problem posting at Netcom. This is a repost
because I did not see the original. If it's double posted it's because
of a problem with the server.
Script only for Version 0.1
Copyright 1994 by Sarfatti & Associates. This information may not be
reproduced for commercial use in any form without permission.
Complete product to have sound, Mathematica and 3D Studio
animations, video, detailed notes with equations. Authorware self-
study modules with multiple choice quizes. Each numbered screen
below will actually be a hyper-linked doorway into an illustrated
animated musical Borgesian Garden of Forking Paths much like the
game Myst - but better -- much better!
The Sarfatti
MULTIMEDIA LECTURES ON
POST-MODERN PHYSICS
To the Stars and Beyond
Multimedia Introduction to the
New Physics
by Dr. Jack Sarfatti
1. Destiny Matrix
The fundamental level of reality is a living enchanted web or
destiny matrix of quantum connections beyond space and time that we
can call the "Mind of God".
We remember the past. Why can�t we premember the future?
There are legends of prophets who could see the future. Is it all
irrational primitive superstition? Or is there a wonderful surprise
waiting beyond death?
2. Introduction
Physics divides historically into three stages.
- Classical
- Modern
- Post-Modern
3. Contents
Classical Physics
- Newton�s mechanics
- Maxwell�s electrodynamics
- Thermodynamics
Modern Physics
- Einstein�s spacetime
- Quantum Mechanics
Post-Modern Physics
- Mind Beyond Quantum Mechanics
4. Overview
Post-modern physics seeks to explain the meaning of existence
and to provide the super technology that will propel us to the stars
and beyond.
We present a brief history of the beginning of our
colonization of the universe and our possible ascent to immortality
at the "Omega Point" in the far future.
5. Newton�s Mechanics
Time was invariant the same for everyone.
Forces cause objects to accelerate.
The space shuttle in weightless free orbit around the earth
is accelerated by the force of gravity toward the center of mass of
the earth.
6. Maxwell�s Electrodynamics
Force fields act on charges.
A changing magnetic field through a loop of wire induces an
electric current flow in the wire.
An electric current causes a magnetic field.
A changing electric field also causes a magnetic field. This
results in radio and TV.
7. Thermodynamics
Heat flows spontaneously from a hot absolute temperature to a
cold absolute temperature. A fraction of that heat can be converted
to mechanical work.
It is impossible to get mechanical work from a heat reservoir
at a single temperature.
8. Summary 1
Classical physics consists of mechanics, electrodynamics and
thermodynamics.
Classical physics is the foundation of the industrial
revolution starting with the steam engine and ending with radio and
television.
9. Where to get more information
Taking the Quantum Leap
- by Fred Alan Wolf
The Physics of Immortality
- by Frank Tipler
The Emperor�s New Mind
(Chapter 5 "The Classical World")
- by Roger Penrose
10. Einstein�s spacetime
Special relativity (1905) unified time with space. Time alone
was no longer the same for every one. Only the "spacetime
interval" and the speed of light were "invariant".
The speed of light was an absolute barrier. It guaranteed
that causes would always come before their effects. Precognition and
telepathy were impossible.
11. Spacetime Diagram
Time is the vertical axis. The future is up and the past is
down. Space is the horizontal axis for a given frame of reference F.
12. Major General�s Song
"About binomial theorem I am teeming with a lot of news.
With many cheerful facts about the square of the hypotenuse!"
- HMS Pinafore
- by Gilbert & Sullivan
13. Spacetime "Interval"
is the "hypotenuse" of the spacetime triangle between the
white circle event and the black circle event.
- The square of this hypotenuse is the square of the red time
line minus the square of the blue space line for frame F.
14. Light Cone
Each point ("event") in spacetime is the origin of a future
light cone (pointing up) and a past light cone (pointing down).
- Each horizontal slice is a spherical wave front in space
coming from the origin event of the cone.
15. From The Future?
Electromagnetic waves from the origin event on the upward
future cone are called "retarded" propagating from present to
future.
Hypothetical waves from the origin event on the downward past
cone are called "advanced" propagating backward in time from
present to past.
16. Causality Principle
Causes must always be before their effects.
- Therefore, advanced waves from our future to our present do
not exist. This implies that all paranormal claims of precognition
are wrong.
17. Worldlines
are paths in spacetime diagrams. They describe the possible
histories of elementary particles.
Worldlines are either
- timelike
- lightlike
- spacelike
18. Timelike Worldline
is inside the light cone describing slower-than-light motion
of an elementary particle.
- The interval or proper time between any two events on the
timelike worldline is a real number. Proper time is what a clock on
the worldline measures.
19. Lightlike Worldline
is always oriented at 45^o in the flat spacetime of special
relativity. It is a ray of a light cone.
- The proper time between any two events on the lightlike line
is zero. Time stands still at the speed of light!
20. Spacelike Worldline
is outside the light cone describing the faster-than-light
(FTL) history of a hypothetical "tachyon" particle.
- The proper time is an imaginary number.
21. Lorentz Frame Transformation
If frame F' is moving past frame F such that both coincide at
the origin event, then the time and space axes of F' relative to F
look like
22. Frame Invariance of "Interval"
The red time line is parallel to the time axis of frame F'.
The blue space line is parallel to the space axis of F'. The
hypotenuse of the new distorted spacetime triangle is the same
number as it was in frame F!
23. Action
The proper time is a special case of action which is
precisely defined in the classical mechanics of particles and
fields. It is also central to quantum physics where it must be a
whole number (1,2,3,...) of very tiny indivisible Planck constants
h.
- The units of action are energy multiplied by time. It takes
energy and time to act.
24. Invariance and Conservation
Frame invariance of the proper time is a special case of an
action symmetry. Symmetries imply conservation laws.
- Invariance of action under time (space) displacement of the
frame of reference results in conservation of energy (linear
momentum).
- Invariance of action under space rotations of the frame of
reference results in conservation of angular momentum.
25. Time Dilation
Even though the 4D proper time (hypotenuse) is the same for
all slower than light observers moving uniformly relative to each
other, not so for 1D coordinate time.
- Moving clocks near the speed of light run slow and moving
meter sticks contract in their direction of motion.
- The effective mass of a particle shoots to infinity as the
particle approaches light speed -- hence, the light speed barrier!
26. Causality Violation
The time order between two events on either subluminal
timelike worldlines or lightlike world lines is frame invariant.
- The time order between two events on a superluminal (FTL)
spacelike worldline is not frame invariant as can be seen from the
geometry of the Lorentz transformation.
- Therefore, spacelike influences violate the principle of
causality since a cause can come after an effect in some frames.
27. Spacelike Influences
The cause (red circle) is before the effect (black circle) in
frame F, but is after the effect in frame F'.
28. Geodesics
are the straightest four dimensional worldlines possible
which connect two fixed given events in space time. Any other wiggly
world line connecting these same events has a shorter proper time
than the geodesic.
- Therefore, an astronaut who travels near the speed of light
and comes back to earth will be younger than the twin he left
behind.
29. Action Principle
All the world lines connect the same two events. The white
one is the geodesic, which although it looks the shortest, actually
has the longest proper time.
30. Equivalence Principle
A uniformly accelerating frame in flat space time is
equivalent to a noninertial frame fixed to the surface of a large
mass over a small enough region of spacetime in which tidal forces
are small.
- An inertial frame in flat spacetime moving with constant
speed in a straight line in space is locally equivalent to a frame
in weightless "free float" around a large gravitating mass. This
was Einstein�s great insight for general relativity.
31. Weight
You are weightless on a timelike geodesic. You feel weight
on the surface of the earth because the electrical forces between
earth and your body push you off a timelike geodesic.
- The experience of weight corresponds to "hovering" at a
fixed distance rather than falling freely.
32. General Relativity (1915)
Gravitation is the bending of spacetime by energy.
The weightless free floating graviational orbits of small
test particles (like the space shuttle) around large masses (like
earth) are actually geodesics in curved 4D spacetime.
- Although the geodesics are elliptical, parabolic and
hyperbolic in 3D space, they are as straight as they can be in
warped 4D spacetime.
33. Tidal Forces
Imagine you are approaching the spherical surface of a non-
rotating black hole in a hovering manuever like a helicopter. As
you approach closer to the black surface of the hole, the radial
tidal force will stretch you and the tangential tidal force will
compress you. The tidal force goes to infinity crushing you to a
string before you reach the trapped surface.
34. Spacetime Warps
The light cones of different origin events in flat spacetime
are all parallel to each other on a spacetime diagram. In contrast,
the cones of neighboring events in curved spacetime "tilt"
relative to each other.
- We measure this tilt as tidal forces -- the usually small
difference in gravity force over a small distance.
35. Bending Time
Our expanding universe as a whole appears to be quite flat in
3D space. Therefore, curvature of 4D spacetime is mainly due to the
bending of time-space planes.
- Indeed, Newton�s law of gravity is mostly due to the bending
of time rather than the bending of space alone. The exception is a
black hole where the area of a sphere can be much smaller than
4psquare of the radius!
36. Trapped Surface
occurs where the red light cone is tilted to the vertical red
line.
- All timelike and lightlike
- world lines to the left of
- the red line cannot escape
- to spatial infinity which is
- to the right of the red line.
37. Black Holes
When any form of energy is compressed to high enough density
it can bend spacetime so much that the lightcones tip over in such a
way that classical light waves or any form of matter moving slower
than light cannot escape the trapped surface of the black hole.
38. Entropy of the Black Hole
The flow or "arrow of time" is associated with the increase
of random disorder or entropy of a closed system.
- The trapped surface of a black hole has an arrow of time
because ordinary matter can fall into the hole but cannot escape the
hole. The surface is a "one way membrane" and it has an entropy
proportional to the area of the trapped surface.
39. Exploring a Blackhole
Motion along a freely falling weightless geodesic into the
black hole is possible without experiencing any severe tidal force
near the surface of the hole. However, the tidal forces will crush
any form of matter as it approaches the singularity of the hole.
- In contrast, we have already seen that if you try to hover
outside the hole near the surface on a non-geodesic you will be
crushed by the tidal forces at the surface.
40. Classical Singularity
The curvature of space time explodes to infinity at the
singularity inside a black hole. Therefore, the classical theory of
general relativity breaks down at the singularity and we need a
quantum theory of gravity which does not yet exist in satisfactory
form.
41. Traversable Wormholes
are not black holes. They are large tunnels in hyperspace
beyond spacetime which permit travel over large distances and times
in a short proper time of the traveler.
These stargates require a new form of "exotic matter" that
has tachyonic properties.
42. Time Travel to the Past
In principle if you accelerate one mouth of the wormhole
relative to the other near the speed of light (or move it near a
black hole) and return it to the unaccelerated mouth, (or if you put
one hovering mouth up close to the trapped surface of a small enough
black hole and then bring it back) then you can travel back in time
by entering the accelerated mouth and exiting the unaccelerated
mouth. You can go back to the future by reversing the sequence.
43. Closed Timelike Worldlines
The world line is every where inside its local light cone
tilted by the bending of spacetime by energy. Time travel to the
past is possible if they exist.
44. Chronology Protection?
Stephen Hawking thinks that quantum corrections to the
classical physics of stargates will prevent time travel to the past.
Other physicists like Igor Novikov and Kip Thorne are not sure. We
have to wait until we have a good enough quantum gravity theory.
Have time travelers from our future interfered with us in UFOs?
45. Starship Warp Drive?
It is possible in general relativity with exotic matter to
send a ship to the stars and beyond by contracting spacetime in
front of the ship and expanding it in back of the ship.
- The ship is locally moving slower than light and in
weightless "free float" on a geodesic. Also there is no time
dilation with the earth yet the ship is effectively moving faster-
than-light!
46. Summary 2
The modern classical physics of Einstein�s special relativity
unifies space with time and assumes the local principle of
causality.
General relativity explains gravitation as the bending of
spacetime. It opens the door to time travel to the past which allows
a global or nonlocal violation of causality as well as effective
superluminal journeys to the stars and beyond!
47. Where to get more information
A Journey into Gravity and Spacetime
- by John Archibald Wheeler.
Black Holes and Time Warps
- by Kip Thorne.
48. Quantum Mechanics
Classical physics pictures the world as made from tiny point-
like elementary particles and fields spread out all over spacetime.
Quantum mechanics replaces particles and fields by a weird
"wave function" that gives the probabilities for events to happen.
Some observables (spin) are "quantized" into integer
multiples of a basic unit.
49. Quantum Weirdness
Schrodinger�s Cat is both alive and dead at the same time
according to quantum mechanics. How can we reconcile this obvious
nonsense with our experience?
50. Photons
Electromagnetic wave fields that appear to vary in energy
continuously at the classical level are actually made up of "real"
photons with energies E = hn per photon. Planck�s constant is h, and
the frequency of the wave is n. The vacuum consists of fluctuations
of virtual photons of energy hn /2 and virtual particle-antiparticle
pairs.
51. Double Slit Experiment (the basic mystery of the strange
quantum!)
If the single photon passes through both slits at the same
time it interferes with itself and we see a pattern of alternating
bright and dark fringes on a screen beyond the slits.
If the plate with the slits can recoil then the photon passes
through only one slit and the interference fringes disappear.
- We see this on the next animation!
52. Wave Particle Duality
When the double slit plate is clamped the yellow horizontal
fringes are seen. When the plate is free to recoil from a photon
impact the fringes disappear into the central yellow band.
53. Interferometer
- The single photon scatters off a beam splitter. If it takes
both paths at the same time then one detector remains silent because
of destructive interference while the other detector "clicks" when
the photon reaches it. This will be the case if all the mirrors in
the interferometer are clamped. However, if one mirror is allowed to
recoil (or wiggle if hit by a photon), then both counters will click
at equal rates for a steady stream of photons.
54. Delayed Choice Experiments
Experiments with single photons in interferometers show
counterfactuality and that causes can happen after their effects.
- Whether a single photon takes two paths at once, or only one
path, in the past depends upon the future delayed choice of an
observer to prevent or allow a mirror in the interferometer to
wobble, respectively, after the photon as already passed through the
beam splitter!
55. Heisenberg Microscope
- If you try to observe the position of an electron with a
microscope you must scatter a photon from it and catch the photon.
To locate the electron more precisely the wavelength of the photon
must be as small as possible. But making the photon wavelength
smaller makes the uncontrollable random momentum transfer to the
electron from the collision stronger. The more precise the position
measurement, the less precise the momentum and vice versa.
56. Heisenberg Uncertainty
More generally, observable properties of elementary particles
and fields are represented by square matrices.
- If the matrices do not commute the corresponding
measurements are incompatible with each other. For example, PQ - QP
= ih, where P is the momentum matrix and Q is the position matrix.
This implies that increasing the precision of the P measurement
decreases that of the Q measurement and vice versa.
57. Examples of Incompatibility
- Simultaneous measurements of the spin of an elementary
particle along different directions in space are incompatible with
each other.
- Simultaneous measurements of the number of photons and the
phase of an electromagnetic wave are incompatible with each other.
- Simultaneous measurements of the electric and magnetic field
at the same point in space are incompatible with each other.
58. Self-Measurement
- The incompatibility of simultaneous measurements assumes that
the measuring system is separate from what it is measuring. David
Albert has recently shown an unexpected loophole. Thus, a system
that is able to measure itself can beat the Heisenberg uncertainty
principle for special pairs of noncommuting matrices representing
observable properties of itself. However, this information, like
mental "qualia", cannot be directly experienced by an external
observer.
59. Copenhagan Interpretation
The weird wavefunction is everything in the Copenhagen
interpretation.
The weirdness is that the wave function is a coherent blend
of contradictory situations.
For example, a tiny electron can be in two different places
at the same time, or, another example, have both spin up and spin
down along a given direction in space.
60. Quantum Measurement
In von Neumann's view, the wave function evolves in time in
two very different ways called "U" (unitary) and "R" (collapse).
The U evolution is continuous and deterministic computed from
Schrodinger�s equation.
The R evolution is discontinuous and indeterministic giving
only probabilities.
(reference: Roger Penrose's two books The Emperor's New Mind and
Shadows of the Mind)
61. Einstein-Podolsky-Rosen
or "EPR" (1934) was a "thought experiment" in which
Einstein showed that the Heisenberg uncertainty principle could be
violated unless there was a "spooky" faster-than-light action at a
distance between two "daughter" particles moving off in opposite
directions from the splitting of a single "parent" particle.
(animation)
62. Bell�s Nonlocality Theorem
Shows that the statistical predictions of the R collapse
break the speed of light barrier of Einstein�s special relativity.
Einstein called this "telepathic ... spooky action at a distance."
However, this spooky "nonlocality" cannot be used for
practical communication faster-than-light. It can be used for
cryptography.
63. Contrafactual Definiteness
Bell�s proof of faster-than-light nonlocality requires that
possible evolutions that might happen, but do not actually happen,
nevertheless, affect what is measured in definite ways.
Experiments with interferometers confirm this strange
"counterfactual definiteness".
64. Aspect�s Experiment (1982)
in Paris showed that Bell�s locality inequality derived from
the causality axiom of special relativity was wrong. The experiment
measured the strong correlations between two spacelike separated
photons emitted by the same atom. It confirmed the statistical
predictions of quantum mechanics which violate Bell�s theorem.
65. Parallel Universes (A great mistake, or a great truth?)
This "many worlds" interpretation says that the R collapse is
only an illusion. Everything that might happen actually does happen
in different parallel universes.
Counterfactual definiteness is also an illusion so that
"spooky" superluminal nonlocality is also an illusion.
Photographs of Other Worlds
However, the parallel universes interpretation is also weird
because it implies that there are many different memory records of
our lives in the other worlds.
David Albert has recently shown that we can detect our other
selves in the universes parallel to the one we think we are in!
66. Bohm�s Theory
The world consists of matter made of particles and fields and
a mind-like objectively nonlocal wave function that pushes particles
away from their classical force-determined paths.
Orthodox quantum mechanics depends upon the approximation
that the particles do not directly act back on their wave functions.
67. Aharonov's Theory
What actually happens now is superdetermined by two quantum state
vectors one from the future and one from the past. Furthermore,
quantum time machines can be built that allow time travel to the
past to a time before the machine was actually built! This is very
different from the star gates of general relativity in which you
can't go back to before the gate was built. However, the quantum
time machine is very unreliable which may explain why we cannot use
precognition very well if our brains are quantum time machines.
68. Decoherence
An attempt by Murray Gell Mann and company to "rigorously"
explain how the classical world appears. Very controversial and
probably wrong because it needs a proper theory of quantum gravity
before it can really be solved. That is, to really solve the mystery
of the quantum requires really new physics that we don't understand
yet.
(reference, The Quark and the Jaguar)
69. Feynman�s Theory
A complex probability amplitude describes an entire possible
world line "history" of a particle in Einstein�s spacetime.
- The phase of this complex number is the twice pi multiplied
by the classical action divided by Planck�s constant h.
- Add the amplitudes for indistinguishable histories with the
same start and finish and then take the squared modulus to get the
probability for the particle go from start to finish.
70. Quantum Time Loops I
The idea that the squared modulus (of the quantum amplitude
for a set of indistinguishable world lines) is the probability of
that set of histories requires information to flow both forward and
backward in time.
- Suppose there are only two possible world lines red (1) and
yellow (2) for the particle to go from start to finish. If the
amplitude A runs forward in time, then its complex conjugate A* must
run backward in time because of Feynman�s rule that the phase is
proportional to the action.
71. Quantum Time Loops II
- The action is the sum over all pieces of the path (or
worldline) of the local Lagrangian for that piece multiplied by the
corresponding small change in coordinate time. The Lagrangian does
not change if the direction of time reverses. Therefore the phase,
which is proportional to the action, reverses sign when time
reverses, and we get the complex conjugate amplitude!
72. Quantum Time Loops III
- So, if A1 is the retarded amplitude for the red worldline.
It�s complex conjugate A1* is the advanced amplitude backward in
time for the same worldline. But we have two possible paths, so the
probability is proportional to
- (A1* + A2*)(A1 + A2) = A1*A1 + A2*A2 +A1*A2 + A2*A1
- Note that the interference terms A1*A2 + A2*A1 correspond to
information flowing forward and backward in time along different
worldlines!
73. Quantum Gravity and Nanotechnology
Roger Penrose thinks that quantum gravity is required to solve the
measurement problem. He gives a "new criterion" for this, which, if
true, would mean that nanomachines would not work as expected
according to classical mechanics. It would also mean that we could
make quantum computing chips with today's technology. However, Brian
Josephson may have found a flaw in Penrose's theory. It is too early
to know who is right -- Oxford's Penrose or Cambridge's Josephson?
74. Where to get more information
Shadows of the Mind
- Roger Penrose
Quantum Mechanics and Experience
- David Z Albert
The Undivided Universe
- David Bohm and Basil Hiley
The Feynman Lectures on Physics
- Richard Feynman
75. Beyond
Frank Tipler, in his book, The Physics of Immortality,
considers the possibility that a super-computer (The Omega) in our
far future will actually resurrect us in the form of computer
programs in cyberspace. We would then all live forever in a perfect
world. Is this really our destiny, or is it silly fantasy?
76. Quantum Mind
Tipler's idea assumes that consciousness and our experience
of self is computable. Roger Penrose in his two books, The
Emperor's New Mind and Shadows of the Mind considers the idea that
consciousness is fundamentally not computable by classical computers
that operate only forward in time.
77. Quantum Computers
What would happen if we could make a quantum computer that
could also compute backward in time? Would that allow Tipler's idea
to work? This will be a key problem that we will work on in these
lectures.
78. Physics, PSI and Beyond
The big question is whether or not faster-than-light and
backward-in-time communication is possible using the nonlocal
quantum connections in the pre-geometry beyond space-time. According
to quantum mechanics today, although these connections are very real
that cannot be accessed for practical telepathy, precognition and
psychokinesis. On the other hand Berkeley physics professor, Henry
Stapp has recently published a paper in Physical Review A (July,
1994) which, on face value, validates experiments by Helmut Schmidt
and the Princeton experiments on precognitive remote viewing.
Stapp's theory goes beyond quantum theory today and involves a
violation of its statistical predictions by conscious matter. This
also demands a violation of the causality principle of relativity
and the classical form of the second law of thermodynamics according
to a theorem by Asher Peres. We are on the brink of a new exciting
revolution in the passage from modern physics to post-modern physics
at the end of the 20th century much like the passage of classical to
modern physics at the end of the 19th century.
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X-Google-Language: ENGLISH,ASCII X-Google-Thread: f569d,f4b1a9ad234c5368,start X-Google-Attributes: gidf569d,public X-Google-Thread: f44bc,f4b1a9ad234c5368,start X-Google-Attributes: gidf44bc,public X-Google-Thread: 107787,f4b1a9ad234c5368,start X-Google-Attributes: gid107787,public X-Google-Thread: fa84d,f4b1a9ad234c5368,start X-Google-Attributes: gidfa84d,public X-Google-Thread: 111f18,f4b1a9ad234c5368,start X-Google-Attributes: gid111f18,public X-Google-Thread: 10b271,f4b1a9ad234c5368,start X-Google-Attributes: gid10b271,public X-Google-Thread: 16cfd8,f4b1a9ad234c5368,start X-Google-Attributes: gid16cfd8,public X-Google-ArrivalTime: 1994-12-11 15:54:27 PST Path: arc1-ca.pugleaf.net!bga.com!news.sprintlink.net!howland.reston.ans.net!ix.netcom.com!netnews From: sarfatti@ix.netcom.com (Jack Sarfatti) Newsgroups: sci.physics,sci.skeptic,alt.consciousness,alt.paranormal,sci.edu,bit.listserv.physhare,comp.multimedia Subject: Script for Physics CD & HTML Date: 11 Dec 1994 23:54:01 GMT Organization: Netcom Lines: 652 Distribution: world Message-ID: <3cg3ep$3c4@ixnews2.ix.netcom.com> NNTP-Posting-Host: ix-sf3-22.ix.netcom.com