Tuesday, April 15, 2014

On Information, Fields, Gravitons and Mediators

Abstract

Approaching the development of any model of fields generated by constituents such as strings, loops, gravitons and the like rather than by magic or mathematics leads to four useful questions and one important reality check:

How is information generated?
How does the information propagate?
What IS the information?
How is the information received?

How does the field information continue to be generated without diminishing?

Table of Contents

Discussion

Magnetic fields pose difficulties for the mnp Model, which aspires to an explanation for particles and forces with constituents operating only at a tiny scale. An honest look at magnetic fields leads the author to frame the general question: what issues are fundamental to the nature of fields and what issues arise in various model types. By asking the proper or useful questions, the author hopes to find useful answers.

Magnetism has two properties that gravity and static charge do not: 1) The reference line for force is an imaginary line of zero force, a vector perpendicular to the moving charge that creates the magnetism, with the force magnitude axially symmetric about that vector and 2) magnetism affects only moving particles and only by changing the direction of movement. It does not increase or decrease kinetic energy in traditional inertial frames.

In the mnp Model, gravity and static charge fields are purported to be understood, electrical fields from moving charges have been drawn but not well explained. Understanding how the field created by moving charge could lead to the influence on moving particles being symmetrical and directional about the line of zero force has so far eluded the author. Conceding defeat in this endeavor, the author feels a more general discussion is warranted. Therefore:

An information theory approach may be useful. What information is needed? What is the MINIMAL information needed? The author suspects that in physics and the universe, nothing is overdetermined. The approach, do all that is needed and no more, has served the author well in writing and programming. Don't program or say things twice. (For fear of self contradiction LoL.)

This discussion of information is the author's attempt to understand and refine his own development process. Recognizing that creating a single concept (such as frame independence or the equivalence principle) is not part of the intersection between his abilities and what a constituent model of fields needs to do, the author will muddle on.

The proto Model, mnp, so far offers glimpses of the possibilities. Information is received only by the redirection of basic constituents, is generated only by the redirection of the basic constituents of fields, and does not diminish over time because field constituents are, in the modern local universe, constantly replenished by recruitment.

The useful question emerges. What information do the (gravitons, magnetic field mediators, static field mediators) need to carry? Which quickly leads to the author's codification of Information Required by a Theory of Everything -or-

Information Requirements in a Constituent Field Theory

There are four important questions to be answered by a field theory that posits constituents such as strings, loops, gravitons, and the like. In chronological order:

How is information generated?
How does the information propagate?
What IS the information?
How is the information received?

In order as understood and developed by the author:

What is the information?
How does the information propagate?
How is the information received?
How is the information generated?

Reality checks on the process of field creation include:

How does the field information continue to be available/How does the field information continue to be generated?

Conclusion

The author hopes that with four concepts and one or more reality checks, explanations for fields can be developed and checked.

Though the author joined mathematics with magic by a rhetorical alternation in the abstract, the growing acceptance that, for example, a particle IS its wavefunction or a field IS its function means that the four information questions might be profitably asked of the functional form of the field or particle.

Examples

Illustrations may be helpful. For gravity, the mnp Model sees the information needed as 1) How much effect from the mass remains at this point and 2) which direction is the mass. The reality check, how can gravitons continue without being diminished, led to the concept of recruitment, to gravitons being bi-directional. Amount of effect is the number or density of gravitons. Direction to the mass and the radius part of acceleration is encoded in the angular divergence of the gravitons (and perhaps the related divergence in density with tiny differences in distance from the mass). Gravity is the simplest of the fields in the mnp Model because it relies only on the mediators (called m's in the mnp Model) and assumes their Axis (polarization) averages to 0.

For static charge, the information needed is similar. But instead of inventing a different mediator, that points in a negative or positive charge direction, the author is attempting to use the three constituents of the mnp Model. The charge constituents move, if matching the charge, more axially away from the charge. Those opposite the charge move more tangentially to the surface of the charge and so may return sooner but do not propagate. The third constituents, mediators, adopt the Axis alignment of the axial charge constituents and propagate more tangentially to the surface of the logical sphere around the charge, themselves recruiting charge constituents.

For magnetic fields, the information is the direction of the +B vector and how much influence exists at the point of interest. Since propagation is perpendicular to the information and since how the information is received and translated into changed motion with the influence being proportional only to the angle between receiver motion and +B vector direction, the author has much need for understanding and creativity. To be continued.

Appendix

This blog post, like many of late, has jumped out of order. Describing and modeling the fields created by motion is overdue. Explanations of why the 3-vector and 4-momentum formulations with complex numbers work well and images of the meaning of mixing angle in the mnp Model await. Development of the scale established for the constituents of the mnp Model, as developed in Energy and h in the mnp Model, including investigation of the 10^-10m/s^2 limit for gravitational acceleration, is pending. Discussion of divergence and curl in the loops of particles can be postponed, as can the mundane topic with the dramatic title Gravitons' Return. A rewrite of the general mnp Model description is called for, to reduce embarrassment at the many mistakes therein, even though the development and understanding of field structure will lead to further changes.

Field Constituent Theories - Classification

Field constituent theories can be seen as a spectrum (or an n-space) from truly baryonic to pure instantaneous information with no mass. Baryonic constituents probably have mass and might be able to transmit energy, torque, and direction. Constituents might be specific to the field type or types. Constituents might be limited to the speed of light. Constituents of the field might well be different from constituents of particles. Constituents might be spread across the universe, as if all were holographic projections from a boundary. Pure mass-less endless information theories require that the recipients must have the ability to respond to all information by themselves.

The mnp Model is just one point in the range of constituent theories and shares many attributes with other constituent theories. In the mnp Model, all constituents move at the speed of light, only three types exist and form particles as well as fields. They interact on two attributes, Travel direction and Axis direction, and cease to interact if packed too closely. The author is trying to develop the mnp Model as a minimal set that will cover the range of physical phenomena and measurements. Someday.

Constituent Scale in the mnp Model

For reference, a table of the scale for constituents as developed in Energy and h in the mnp Model is included. The influence distance is the most interesting number. The rest, including number of constituents in an electron and constituent mass, merely give a sense of scale.

                                   Torus            Cylinder     Units
Influence distance - maximum       1.56e-25                      m
Number of coils                    2.45e25                       m
Separation distance                8.0e-50          5.1e-50      m
Constituents per electron          2.25e50          3.5e50
Constituent mass                   4.05e-81         2.6e-81      kg
Maximum density at separation distance (hexagonal packing)
                                   9.1e66           2.25e67      kg/m^3
Compact electron size              5x5x1.6*10-25    1.6x1.6x3.2*10-25  m
Compact electron density           xxxe45           xxxe45       kg/m^3
This estimate is based on four measured quantities: the speed of light, the mass of the electron, h, and the time for weak nuclear interactions to occur. It is based on the observation of consistency for those quantities and on the quantized behavior of electrons. Using the classic formula for angular acceleration only, the units of energy and the constituents ability to redirect other constituents and the units of h have physical explanations in the mnp Model.

mnp Specific Thoughts

The "what information do mediators need to carry" was the turning point in the author's musing about magnetic fields. The question seems to support the Axis (reversed?) along the B lines, yet how does the Axis get oriented that way rather than 180, when the charge is moving one direction? This related to the production of information or the transformation of information.

This might be an interesting paper in its own right, though it will be easier to write when the fields are complete. LoL Like issues of understanding physics but personally needed a causal picture to be able to understand enough.

mnp Muddling - Leading to General Concepts

For reference, a glimpse of how the author talks to himself:

How could we model the zero force lines for magnetism - a) if the Axis were one way or another along the zero force vector then direction of B would be established and axial independence if propagation direction is not needed. Need to figure how current would cause axis to be 90 degrees to current axis alignment. Though being affected at 90 degrees may be a reciprocal arrangement b) Zero force vector is perpendicular to both Axis and Travel, then Axis cross travel would give B direction. Need Travel and Axis to work out equal at all axial positions. Seems difficult to work out or at least hard to make excuses c) if just axis parallel to negative current, not enough info to be axially symmetric about some other axis/coordinate line d) propagation direction <notes> - does that have a wavelength and recruit similar? I'd think not - averaging out

Draw - electrons move vertical (current down) B equal force lines clockwise, Axis up. Not just equal force lines, but the zero force axis. In mnp, perpendicular to the spread of the magnetic field and perpendicular to the axis. Direction of the B (Could it be that Axis direction does not matter to a moving charge??)

Replenishment: eg. For static charge, the p's are sent out more tangentially, the n's sent out more axially, the balance of flow will need to be uniform. n's may be recruited and redirected from a distance, p's may seem to hang out closer but the net away must match the net toward if steady state is achieved. (I have at times thought that this might not be the case on a cosmological or long time scales, and have not entirely given up on this possibility) </notes>

mnp Future Development

The fields created by particle movement, which the mnp Model calls deBroglie fields, will be important to understanding all fields from moving particles. <notes>: - pull n's and p's more into parallel than the m's which then cause n's and p's to align with the movement, then cause m's to align more with the movement, so the zero force line represents the Axis. No, that would picture more axis parallel to the charge movement. But provides additional reason for Axis aligned with source. Wait - electron moving, n's oncoming pulled in less, n's parallel pulled in more. p's following pulled in less, p's oncoming pulled in more m's come in by deBroglie, try to align with the mid-line, cross past it, do they try to reverse Axis? Axis only works around the line of travel? - no it does redirect. </notes>

Causes for Optimism

Behavior of the constituents of a wave created solely by a particle or neturino or fhoton's movement, called here a deBroglie field, is counter-intuitive. Constituents recruited by the moving particle cross the mid-line and operate in a reverse fashion. Oncoming and "overtaken" constituents behave differently and interact with each other. The simulation and understanding of such fields, as posited in the mnp Model, will be useful. In addition to the investigation of the neutral (neutrino) moving particle and the polarized (fhoton) moving particle, it now becomes apparent that the charged (idealized electron or positron) moving particle and eventually the coiled/charged moving particle (electron and positron) will provide needed understanding of the fields created by movement.

Constituent Field Models and Structural Models of Everything may actually have a future, even if the author's approach in the mnp Model turns out to be merely interesting.

No comments:

Post a Comment