Note: This is a work in progress...if you notice errors, please let me know

** Note - Years Later **

I have now done a lot more research, and it turns out the you can derive QM from SR.

See SRQM: QM from SR - The 4-Vector RoadMap (.pdf)

So, I need to update a lot of the stuff below. I no longer believe that QM is fundamental.

Actually, this is now better described as follows: On a particle with non-zero commutation, measurements on the non-commuting properties can be made at best sequentially, not simultaneously, as the experimental setups to measure these properties are different. And the first experiment alters the properties in a minimum way wrt. the second experiment. The EPR experiment, however, allows one to "infer" the 2nd property by making a measurement on a seperate but entangled partner particle. This doesn't break Heisenberg, as the uncertainty relation is about sequental time-separated measurements on a single particle.

**However**, I no longer believe this argument. I have since found that you can derive QM from SR. And SR is a limiting-case approximation of GR. The existence of the physical constant and Lorentz Invarint (ћ) doesn't requre a quantum axiom. It is the empirically measured constant that comes about from Tensor Invariance rules.

See SRQM: QM from SR - The 4-Vector RoadMap (.html)

See SRQM: QM from SR - The 4-Vector RoadMap (.pdf)

Quantum theory is able to explain a much broader range of physical phenomena, and with more detail, than classical mechanics. Does this mean that classical mechanics is wrong? No, it just means classical mechanics is an approximation, valid in a limited set of physical phenomena. Quantum mechanics must give the same results within the valid region. It can be shown that classical mechanics is a limiting case of quantum mechanics, and a good approximation for large scale systems, in which the wave-like characteristics of individual particles are not important.

Relativity is able to explain and give reasons for some intimate connections of physical properties that classical mechanics does not address, such as the connection between mass and energy. Also, it became necessary when classical mechanics failed to give correct results for particles moving at a significant percentage of light-speed. Classical mechanics is again shown to be a limiting case of relativity, and a good approximation for velocities much less than the speed of light (v<<c).

Almost every physics book (except the few enlightened ones) will say with regard to EM measurements that EM fields are the "only observable quantities", and therefore they are the "real" physical observable, with the EM potentials being only a mathematical construct. However, the Aharonov-Bohm experiment shows that the potentials can have an observable effect, even though the fields are zero. Potentials should be considered the "real" physical quantities.

"" pp517-520,Aharonov-Bohm experimentThe Aharonov-Bohm effect is quantum mechanical in essence, since it involves Planck's constant h...the experimental results were in excellent agreement with theory. Despite the fact that there was noB, and consequently no force, acting on the electron beams when the solenoid (or whisker) was added, there was a physical displacement of the electron distribution in space. This was caused by the nonvanishing vector potentialA, which existed in the region external to the solenoid (or whisker). The conclusion must then be reached thatAis not just a mathematical aid in calculatingBit is a real field, with the possibility of producing physical effects even in a region where there is noB. The fact thatAis not unique, for a givenB, but may be modified by adding a gradient of an arbitrary function does not alter this conclusion.The Electromagnetic Field, Albert Shadowitz

Almost every physics book will say that the overall phase factor of a quantum wave is "trivial". A few give arguments that this is based on gauge symmetries, where others simply show that the overall phase gets "complex conjugated" away in the probability calculation. It is my belief that this argument is flawed. I believe that the overall phases are in fact the extra information in a quantum system that determine the outcome of an individual measurement. Reasoning is as follows: An "unobserved" system time evolves deterministically according to the quantum equations (Dirac/Klein-Gordon/Schroedinger). An "observed" system time evolves in a such a way that a discrete choice is made by something (Observer/Nature/God/Particle/whatever). Normally, this is attributed to pure chance. However, any "observed" system is actually just a subset of a larger "unobserved" system that is time evolving deterministically. Thus, the apparently random "discrete choice" is actually determined by something in the larger picture. For decades, many physicists have looked for hidden variables to explain this, mostly without success. Again, I believe that the non-trivial overall phases are the important factor. If so, then they are not ruled out by most of the arguments against hidden variables. The overall phases could act in such a way that they don't alter the probabilities of various results, but could be the selection factor that actually picks one result out from the many. The phase is a relativistic invariant, a major plus for this argument. It also has built-in the description for moving through spacetime (Φ =

There is nothing in QM that says anything about simultaneous measurements. The structure of the principle shows that it applies to sequential measurements. Thus, the measurement of the first observable places the system in a state such that the subsequent measurement on the complementary observable lies within a range of values, with the product of the two uncertainties being greater than a certain constant. Thus, it applies to sequential measurements, not simultaneous.

Geiger counters are the prime example, counting individual events. A single photon can be detected by measuring the photo-current it produces. Anything connected to an electric circuit ultimately shows up as a count of the number of electrons passing a given point at a given time. The trick, of course, is to arrange the physical system in such a way that the correlations between these events tells you some more information about the system. Other inferred properties could include: frequency, wavelength, polarization, phase, charge, mass, energy, momentum, hypercharge, etc.

The simplest explanation for the things that we observe are particles. Particles are localized entities which exist as events (i.e. they have definite location in space and time) and carry information. The information are the particles properties, such as mass, energy, momentum, spin, frequency, phase, polarization, charge, etc. The QM ket state vector is actually only the information that you have regarding the state of a system. It only corresponds to the information one has about the actual state, it is not the actual state. Hence, different parties may have slightly different ket vectors, those that have access to more or less or different information. Example, Schrodinger's cat. The cat (inside the box) gets into a state of mixed |alive> + |dead>. Two outside observers calculate the same ket as soon as the box is closed. After a minute or so, one observer looks inside, then closes the lid again. He recalculates his ket vector, which may have new information. He doesn't tell the other observer, who must be content with his original ket vector, since he has no new information.

QM is one of the most fantastically successful theories ever found. However, it only predicts the probabilities for various outcomes. We know from experience that the outcomes are discrete individual events. QM is unable to give us answers, for instance, when we ask where will a given photon land. QM only predicts the probabilities. I think that if QM were a complete theory, we would not even be able to ask the question.

See SRQM

ARTIFICIAL INTELLIGENCE:

It might take a while, but it's coming... It's all a matter of numbers, like 10^23.

American Association for Artificial Intelligence

ARTIFICIAL LIFE:

It's already here. The question is, when and how will it protest when we are about to turn the power off?

Tierra: Artificial Life

COLD FUSION:

It might not be fusion, but something is going on here...it's worth investigation.

CLONING:

Less paranoia, more research: the seeds of incredible medical technology are here. Besides, the scary stuff is not this, it's genetic engineering. However, even that should be researched. To anyone who can see no value in human cloning, consider the following: Individual organs grown in solution, which could be used to replace any that fail in your body. Why cloning and not transplants - no immune system rejection, no outside donors necessary-you are your own donor. Message to the religious people - relax, there will be no armies of clone people invading us. Robots are much cheaper, stronger, faster, and don't take 15+ years to grow and train. Oh yeah, robots follow orders too.

CREATION:

In mathematics, the question arises: Is new mathematics discovered, is it invented by people, is it created from nothing, or from existing math? The process of creation is not an arbitrary enterprise. I propose that mathematics exists independently of people and thought. Discovery is just the process of finding arrangements of matter or concept that have not been previously noticed. Invention is just the process of making rearrangements of matter or concept that have not been previously noticed. Only valid/logical/physical arrangements and rearrangements are allowed by nature. Thus, all creations are really just discoveries or inventions, which are just new arrangements of matter or concept.

DISCOVERY & EXPLORATION:

The Universe is a wondrous place full of mystery, waiting to be discovered and explored.

To find the path, you must but open your eyes...but a good Search Engine can help!

EPR PARADOX

All paradoxes are ultimately explainable. A paradox is an situation which seems to be illogical based on the assumptions of the examiner. However, all paradoxes may be resolved by examining not the situation but the assumptions. One or more of them are usually mutually incompatible. In the EPR case, the assumptions would be the fundamental ideas behind both the Relativity and Quantum Theories and the situation would seem to be their mutual incompatibilities concerning entangled states. Personally, I do not believe that Quantum is the complete theory. Here is more info on the EPR Paradox.

David Elm's Home Page

Mountain Math Software

Tim Roberts Quantum Physics and EPR links

EVOLUTION

It's real, but hard to observe over human lifetimes. See the section on artificial life for evolution occurring in a laboratory setting.

Tierra: Artificial Life

FORMS of CARBON (a very versatile element):

0-D Single Atoms

1-D Simple Molecules(CO2, etc.), Linear Chains(sing,doub,trip bonded propane, etc.)

2-D Rings(benzene, etc.), Branched Chains, Sheets(graphite)

3-D Solid Crystal(diamond), Bucky Balls(spheres), Bucky Tubes(cylinders), Bucky Doughnuts(tori)

4-D ??

All of the basic geometric shapes are here, and these will be used as the building blocks of nano-technology.

Richard E. Smalley - Discoverer of Bucky Balls

GOALS:

Perfection of Mind, Body, Spirit.

GOOD ADVICE:

Don't Panic. Think.

HAPKIDO - Martial Arts:

The way of harmonious/coordinated energy/power. The best way to win a fight is to avoid it.

also included, The art of making one's opponent wish that they had avoided it... :-)

United States Korean Martial Arts Federation

LEARNING:

Knowledge is Power, Wisdom is Responsibility. You should have equal measures of both. Socrates: An unexamined life is not worth living.

LEVELS of LIFE DESCRIPTION in NATURE:

Physics(quantum)->Chemistry(molecular)->Genetics->Biology->Psychology/Sociology->Philosophy/Ethics

LEVELS of LIFE STRUCTURE in NATURE:

Quarks+Leptons->Nuclei->Atoms->Molecules->Proteins,Enzymes,DNA->Organelles->Cells->Fibers->Organs->Organisms->Ecologies/Societies->?

LIFE:

Anything that uses a genetic code (ex. molecular-DNA, symbolic-Computer GA AL's) to store the information necessary to recreate itself. This would of course also include the instructions for building the proteins, enzymes, etc. (program code) necessary for the life functions/metabolism of the organism. Viruses and AL creatures are therefore living creatures as well. The only essential difference is the environment. AL creatures currently only exist within a computer operating system. However, more and more the silicon life is getting mobile in the form of robotics. At that point, can you really say that their environment is not the same as ours? What will be interesting is when the non-DNA based natural life is found, or when man-made artificial life becomes intelligent.

NANOTECHNOLOGY:

Control of nature at the molecular level - possible physical immortality - definitely incredible medical technology. We are currently at the MicroTech level.

Foresight Institute

PANTHEISM+DETERMINISM:

God=Universe=Laws of Nature - Science is the study of these. This belief system has a lot of advantages over the traditional organized religions.

Religion: Pantheism

QUANTUM PHYSICS:

It's a great approximation, but it is still only a statistical theory. There are still deeper layers of description to be found. In any case, something has to give both relativity and quantum mechanics as appropriate limits. Hints for everyone: quantum measurements ultimately boil down to the detection and magnification of single space-time events. These events are caused by particle interaction. The wave aspect of QT is based on the probabilities of events occurring over a specified spatial and temporal region. All wave phenomena (interference, diffraction, etc.) is simply the result of particle scattering. Tunneling: everything is just particles, there is no such thing as an impenetrable barrier which is magically tunneled though. Tunneling simply involves fewer particle interactions as the test particle moves through the region. Quantum Physics doesn't have to be strange if you think about it in the right way.

RELIGION:

Everyone has a belief system of one kind or another that helps them organize the amazing array of facts surrounding them. Seek Truth and Avoid Falsity.

SCIENCE:

The religion with built-in error checking, verifiable and accurate predictions, the ability to incorporate new experiences, that anyone can do if they just use their brain. Anything is possible, but doubt everything first. This will help you to seek truth and avoid falsity.

SENTIENCE:

The ability to ask How? and Why?. Happens when enough atoms get together and contemplate about the universe and themselves.

SURVIVAL:

The ultimate underlying goal of all living things. Improvise, adapt, overcome. That which does not kill us makes us stronger. Darwin is correct.

Evolution has been proven in both natural and man-made environments. See the AL section.

Fundamentally, we (life, the universe, and everything) are the synergistic expression of large number of quantum interactions. I believe
that these interactions are completely deterministic. However, be they deterministic or random, they completely determine the fate of large
scale systems (like people). So, ultimately, we are robots composed of quantum legos. This is also known philosophically as hard
determinism.

However, before we take it too far and hit fatalism, let's examine a few things. The synergy of large numbers provides an interesting
phenomenon - consciousness. We have the perception of self-identity, free will, abstract thought, etc. This gives us lots of wonderful,
beautiful things to discover, but it brings a price - morals, ethics, values. This takes determinism and softens it, which is
philosophically known as soft determinism.

Email me, especially if you notice errors (which I will fix ASAP) or have interesting comments.

Please, send comments to John Wilson

relativity

See SRQM: QM from SR - The 4-Vector RoadMap (.html)

See SRQM: QM from SR - The 4-Vector RoadMap (.pdf)

SRQM 4-Vector : Four-Vector and Lorentz Scalar Diagram

SRQM + EM 4-Vector : Four-Vector and Lorentz Scalar Diagram

SRQM + EM 4-Vector : Four-Vector and Lorentz Scalar Diagram With Tensor Invariants

SRQM 4-Vector : Four-Vector Stress-Energy & Projection Tensors Diagram

SRQM 4-Vector : Four-Vector SR Quantum RoadMap

SRQM + EM 4-Vector : Four-Vector SR Quantum RoadMap

SRQM + EM 4-Vector : Four-Vector SR Quantum RoadMap - Simple

SRQM 4-Vector : Four-Vector New Relativistic Quantum Paradigm

SRQM + EM 4-Vector : Four-Vector New Relativistic Quantum Paradigm (with EM)

SRQM 4-Vector : Four-Vector New Relativistic Quantum Paradigm - Venn Diagram

SRQM 4-Vector : Four-Vector SpaceTime is 4D

SRQM 4-Vector : Four-Vector SpaceTime Orthogonality

SRQM 4-Vector : Four-Vector 4-Position, 4-Velocity, 4-Acceleration Diagram

SRQM 4-Vector : Four-Vector 4-Displacement, 4-Velocity, Relativity of Simultaneity Diagram

SRQM 4-Vector : Four-Vector 4-Velocity, 4-Gradient, Time Dilation Diagram

SRQM 4-Vector : Four-Vector 4-Vector, 4-Velocity, 4-Momentum, E=mc^2 Diagram

SRQM 4-Vector : Four-Vector 4-Velocity, 4-WaveVector, Relativistic Doppler Effect Diagram

SRQM 4-Vector : Four-Vector Wave-Particle Diagram

SRQM 4-Vector : Four-Vector Compton Effect Diagram

SRQM 4-Vector : Four-Vector Aharonov-Bohm Effect Diagram

SRQM 4-Vector : Four-Vector Josephson Junction Effect Diagram

SRQM 4-Vector : Four-Vector Hamilton-Jacobi vs Action, Josephson vs Aharonov-Bohm Diagram

SRQM 4-Vector : Four-Vector Motion of Lorentz Scalar Invariants

SRQM 4-Vector : Four-Vector Motion of Lorentz Scalar Invariants, Conservation Laws & Continuity Equations

SRQM 4-Vector : Four-Vector Speed of Light (c)

SRQM 4-Vector : Four-Vector Minimal Coupling Conservation of 4-TotalMomentum)

SRQM 4-Vector : Four-Vector Relativistic Action (S) Diagram

SRQM 4-Vector : Four-Vector Relativistic Lagrangian Hamiltonian Diagram

SRQM 4-Vector : Four-Vector Relativistic Euler-Lagrange Equation

SRQM 4-Vector : Four-Vector Relativistic EM Equations of Motion

SRQM 4-Vector : Four-Vector Einstein-de Broglie Relation hbar

SRQM 4-Vector : Four-Vector Quantum Canonical Commutation Relation

SRQM 4-Vector : Four-Vector QM Schroedinger Relation

SRQM 4-Vector : Four-Vector Quantum Probability

SRQM 4-Vector : Four-Vector CPT Theorem

SRQM 4-Vector : Four-Vector Lorentz Transforms Connection Map

SRQM 4-Vector : Four-Vector Lorentz Discrete Transforms

SRQM 4-Vector : Four-Vector Lorentz Transforms - Trace Identification

SRQM 4-Vector : Four-Vector Lorentz Lorentz Transforms-Interpretations

CPT Symmetry, Baryon Asymmetry Problem Solution, Matter-Antimatter Symmetry Solution, Arrow-of-Time Problem Solution, Big-Bang!

See SRQM: QM from SR - The 4-Vector RoadMap (.html)

See SRQM: QM from SR - The 4-Vector RoadMap (.pdf)

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