Welcome!
Introduction
As you can see, this is a simple website, (though a bit long winded). Nothing fancy. But then beauty is in the eye of the beholder. To me, beauty arises from simplicity and balance, and these two find themselves most readily expressed in notions of geometric symmetry. They can also be expressed in mathematical terms, but for me the math is born of geometric form. Geometric shape lends itself and leads to measurement and counting, and thence to mathematical analysis and combinatorics. Right brain perception of patterns in the whole of experience leads to left brain precision in understanding, documenting and forecasting the interactions of those patterns. With the geometry in mind, mathematical equations come alive.
The linked Power Point presentations are the result of my attempt to understand some of the applied mathematics and the conundra of fundamental physics through the prism of geometric symmetry in space and over time. There is new ground here, and it is quite beautiful, in no small part due to its simplicity. It requires some acquaintance with left brain mathematics to appreciate, but I have tried to give some visual context with appropriate graphics to facilitate the interpretation of the math. In fact, as some with holistic comprehension yet only moderately developed quantitative skills might appreciate, full understanding is not possible without the right brain realization that the parts only make sense in terms of, as facets of the whole.
Application of this right brain primacy to the realm of physics means that we should look to the various phenomena of individual rest mass and messenger energy quanta and their properties as functions of the arena in which we find them, the Cosmos, and not as separable ontologies fortuitously found operating against a back drop of space and time. If there is to be a connection, a coupling as they say, between spacetime and quanta, then we must discover the overlooked mechanism by which the general properties of space and time are somehow confined in discrete form in each individual quantum.
In terms of the quantum mechanism, current notions of a “big bang” generation of matter from a universal spacetime singularity only confound this oversight, as the tendency is to see space and time as expanding due to the energetic emergence of such matter from a primal, pointlike font; more precisely, it is the notion of the emergence of point particles, each of which propagates its own individual quantum field(s) upon such emergence, which in turn fill, or depending on your perspective, constitute space and time.
The problem is that a point is a mental abstraction. A point may indicate a location in a space or spacetime of 1 or more dimensions, but has itself no inherent properties, no dimensions, no volume, no space or time, within it. How can a point, which outside of its existence as a demarcation upon a continuum of higher dimension, therefore an entity of inherent nothingness, how can such a point propagate anything? The way around this is to ascribe ontological primacy to the field of some quality, i.e. mass or charge or spin, for which the point is simply a focus of intensity or density. Thus the field which has inherent dimensionality, has the properties of the space and time in which it is found to operate.
But that just begs the question, “Whence cometh the fields?” The answer lies in the concepts and structures of classical wave mechanics as applied to a highly rigid, yet micro-elastic manifold. Isotropic expansion of such three dimensional manifold introduces oscillation of internal stress and strain on a microscopic level which is necessarily non-commutative, resulting in the baryonic structure found in the neutron, and eventually with beta decay, the proton. Only then, proceeding from the oscillatory structure of these rest mass quanta can we state, “Thence cometh the fields!”.
As is indicated herein, with graphic representation hopefully sufficient to produce the aha! moment for those suitably inclined or trained, the expanding Cosmic Continuum, through what is essentially a condition of internal friction stress, oscillates locally at resonant frequency and wavelength in a rotational fashion about an axis orthogonal to the plane of transverse oscillation to produce what we call the neutron. The result is a rotational oscillation that comprises two orthogonal axes of rotation at a common frequency, with coincidence of their nodes and anti-nodes, in a manner that avoids the entanglement condition. These latter nodal features of the wave constitute the confined quark structure of the standard model. Continued expansion drives these oscillations and in turn eventually disperses a fraction of their energy and power according to geometric constraints, as the wave form of the electron, resulting in a frequency and wave number reduction of the fundamental to that of the proton. The differential in centripetally directed tension force at the surface of these fundamental spinors constitutes the quantum generation of gravity, which when multiplied by vast numbers of quanta, in turn gives large scale structure and curvature to space as defined by general relativity.
In terms of the cosmic scale, general relativity gets us part of the way to the necessary conceptual rectification, but it still envisions the shape of space and time as a function of the quantum parts. For all his insight into the fact that spacetime directs the path of quanta transiting its extent, Einstein apparently failed to grasp that spacetime actually creates those quanta in the first place. The current speculations concerning a “dark” vacuum energy hints at the necessary insight; the Cosmos, replete with an inertial density even in the absence of quanta, by expanding provides all the energy needed to generate the worlds upon worlds upon worlds that we observe within it. Expanding from our reference frame, from that of the Cosmos, internal condensation of the quanta within its extents suffices to concentrate the energy within it into the filaments of galactic, stellar and planetary worlds that analysis of astronomical data now tells us pervades cosmic space. But I am getting ahead of myself.
The model shown here is simple, internally consistent, mathematically supported and answers many quandaries that the present models cannot attempt within their current frameworks. As stated, these presentations are essentially applications of classical complex wave and simple harmonic analysis applied to an elastic/inertial isotropic medium of extremely high bulk modulus. It is hoped that you, dear reader, will listen and view with eyes wide open to discovery, and that if an expert, having decided to take on this mission, will leave the jaundiced spectacles of ready skepticism on the desk or nightstand until after the meal is fully consumed and digested. Who knows what the technological, intellectual or even cultural ramifications might be. True, there might be monsters at the ocean’s edge; then again there might be gold!
Enjoy! Feed back can be sent to hmg@uniservent.com.
Peace to one and all,
Martin Gibson
Nuts and Bolts
The presentations are best viewed using a later version of Internet Explorer. They are narrated, but the slides may be controlled by a click of the mouse.
The first presentation is taken from an unpublished work which details the wave mechanisms of rest mass quanta, including neutron, proton, electron, antiproton and positron. It starts with
1) a statement of its relationship to the field equation of general relativity,
2) introduces the inertial constant, which I am calling tav, which is simply h-bar over the speed of light, but which is an invariant in its own right, as the time integral of a quantum wave impulse,
3) gives the phenomenological basis for a quantum expression of
4) introduces a complex analysis of the non-linear effects of isotropic expansion on a unit 3-cube and 4-cube which shows the necessary resulting oscillatory effects of such expansion,
5) depicts the oscillation in animated form and analyzes the dynamics of the oscillation as an instance of electrical (inductive-capacitive cycle)/mechanical (simple harmonic) motion as the basis for spin, with the implications for beta decay in terms of both matter and anti-matter,
6) presents a formalism in terms of the Euler notation which aids in understanding the various spin properties of the mechanism,
7) followed by a matrix of these properties which shows visually and compellingly the relationship of the gauge coupling of the electroweak and the gravitational interactions,
8) to a graphic that gives the geometric, mathematical basis for the electron/neutron mass ratios,
9) to a complex mathematical basis for the missing mass of beta decay and the relationship of beta decay and a logarithmic Hubble rate,
10) to the implications of this relationship for the age of the Cosmos based on a logarithmic expansion that does not require an “inflationary” epoch,
11) followed by some speculative tidbits and conclusions.
To start the outlined presentation, click the paper’s title.
A Classical Complex 4-Wave Foundation of the Cosmic Quantum Mechanism,
To view a copy of the working paper from which this was taken click the pdf, about 133 pages
The second presentation is taken from an unpublished work and starts with
1) an analysis of the geometrization of time with the presentation of a compactified local time dimension that is self-normalizing with respect to space and graphically shows that it is consistent with special relativity and Lorentz covariance and offers a workable alternative to Minkowski spacetime
2) followed by an analysis of the geometrization of mass in both general relativistic and quantum applications,
3) to its application to a derivation of
4) and cosmological considerations, including
5) black hole dynamics, with an interpretation of the radial differential component of a chargeless, extreme Kerr time metric as a case of transformation to tangential motion at the horizon instead of “blowing up”,
6) concluding with the presentation of a quantum metric which is a modification of the chargless, extreme Kerr metric with an oscillation of the Phi coordinates which is commensurate with the depiction of the quantum oscillation of the first presentation.
To start this outlined presentation, click the paper’s title which follows.
Quantum
Gravity as a Derivative of Cosmic Expansion Stress
To view a copy of the paper from which this was taken click the pdf, about 83 pages
Rest Mass Quantization as a Function of Spacetime Exponential Expansion Stress
For a brief demystification of the fine structure constant click the pdf monograph, about 5 pages
A Dimensional Analysis of the Dimensionless Fine Structure Constant
For a brief phenomenological overview of beta decay and quantum gravity as a function of cosmic expansion click the pdf monograph, about 11 pages.
Beta Decay and Quantum Gravity as a Function of Cosmic Expansion
For an analysis of a natural scale, as related to the Stoney scale and the Planck scale, and its significance, along with a refinement of the nature of the relationship between the Hubble rate, beta decay and the neutron mass, about eleven pages.
Some Thoughts on the Natural Scaling of Physical Phenomena
“Pure” Math
For some ruminations about the nature of the calculus and logarithms view the following excerpt from the appendix of the above paper “4 Wave Foundation”, with its concluding application to the missing mass of beta decay within the context of an exponentially expanding cosmos.
The System of Natural Logarithms and the Missing Mass of Beta Decay
For some ruminations about the nature of numbers view
Construction of the Natural Numbers from a Real Exponential Field