Conventional science considers space and time to be a framework in which the drama of the universe is played out, in manifest form. The thesis of the Reciprocal System, however, is that the universe is not a universe of matter, but a universe of motion, one in which the basic reality is motion, and all entities—photons, particles, atoms, fields, forces, and all forms of energy—are merely manifestations of motion.

Space and time are the two reciprocal aspects of this motion, and cannot exist independently. They have no significance except to establish a common reference in describing phenomena. Velocity is a relation of space per unit time; with energy being the inverse relation of time per unit space. We observe space as being 3-dimensional, but space does not exist without time—therefore time must be 3-dimensional, as well. It is this discovery that opened the door to the quantum world, and the configuration space inside the atom, as a direct result of the basic postulates of the Reciprocal System of theory:

• The physical universe is composed of one component, motion, existing in three dimensions, in discrete units, and with two reciprocal aspects, space and time.
• The physical universe conforms to the relations of ordinary commutative mathematics, its primary magnitudes are absolute, and its geometry is Euclidean.

By developing the natural consequences of these postulates, Larson creates a theoretical universe that bears an uncanny resemblance to the universe we observe around us.

The Reciprocal System is not just a "physics" theory.

Atoms, like all physical entities, are subject to gravitation, and eventually aggregate, forming dust, rocks, and stars. Extrapolating from his basic postulates, Larson continues the development of the theoretical universe with astronomy, starting with the formation of stars, and deducing the existence of multiple star systems, planetary systems, globular clusters, galaxies, nebula, supernovas, and quasi-stellar objects.

The evolution of stars, as posited from the Reciprocal System, appears backwards from popular astronomic theories. Larson concludes that the youngest stars are the red giants, which continue to aggregate material and heat up, moving down to the main sequence as G-class yellow stars, then upwards through F-class white, A-class blue-white stars, and reach the blue giants during their old age, where, due to thermal factors, become a supernova. The by-products of the supernova form the common red giant/white dwarf binaries, multiple stars, and attendant planetary systems.

The evolution of galaxies is also backwards from popular thought, defining globular clusters as the youngest, and most common stellar aggregate. Globular clusters merge to form elliptical galaxies, ellipticals merge to form spirals, spirals merge to form large spherical galaxies, which also have a “thermal limit”, and explode like a supernova, but instead of producing a red giant/white dwarf pair, the galactic supernova produces a radio galaxy/quasar pair.

The Reciprocal System has the distinction of predicting the existence of quasars in 1959, some four years before their official discovery by Maarten Schmidt in 1963, published in Larson’s first book, The Structure of the Physical Universe.

Having defined the characteristics of the inanimate world, Larson then began research into two other realms, that of the living, and that which does not fit into the inanimate nor biological realms, commonly known as “metaphysics”.

The inanimate universe is comprised of two sectors, the Material (the 3-D space of ordinary experience) and Cosmic (3-D time, more colloquially referred to as the universe of “anti-matter”). If matter from either sector enters the other, it becomes unstable and explodes in a burst of particles. However, the Reciprocal System, being comprised totally of motion, allows for a stable combination of material and cosmic aggregates to occur via motion—the result, a new type of aggregate called a Life Unit—a stable combination of matter and anti-matter, and the building block for the cell structure, and biologic life.

With concise definitions of both the inanimate and animate realms, there were still observed phenomena that could not be explained within these systems. Amongst these were the classic extra-sensory abilities, religion, and the concept of ethical behavior. By examining the characteristics of these phenomena, Larson postulated the existence of a Third sector, one that exists outside of both time and space, yet interacts with them through the life units, as a type of behavioral Control Unit.

Larson’s final work, Beyond Space and Time, is the result of his preliminary investigation into both the biological realm, and this unexplored third sector, referred to as the Metaphysical, or Ethical sector.

#1: Quantization

The two aspects of motion, space and time, are quantized.

#2: Reciprocity

Space and time are reciprocally related to speed; an increase in space is tantamount to a decrease in time, and vice versa.

#3: Symmetry

Both space and time have identical characteristics: time has three dimensions like space, and space progresses as clock time does.

#4: Physical State

The states of matter are the result of motion in equilibrium, or motion coming out of the time region:

• Solid, 0 (equilibrium; entirely in T-frame)
• Liquid, 1
• Vapor, 2
• Gas, 3 (entirely in S-frame)

#5: Frame Inversion

Only motion in time can take place in the time region, so the appropriate frame of reference is the 3-dimensional, temporal T-frame.

#6: Spatial Non-Locality

The origin of the T-frame would be apparently at all places in our familiar S-frame and at the same time. It is non-local in space.

#7: Non-Trajectory

The concept of a particle trajectory in the S-frame is not applicable from the point of view of the T-frame, for the obvious reason that the origin of the T-frame is "everywhere" in the S-frame.

#8: Wave-Particle Equivalence

A particle localized in the S-frame is equivalent to a plane monochromatic wave from the point of view of a T-frame, and vice versa.

#9: Equivalent Space

So long as the net speed is on the material sector side of the speed range, the motion in time that might occur as a minor component of the overall speed configuration acts as a modifier of the motion in space which is the major component. In other words, it manifests as motion in equivalent space, rather than motion in time.

#10: Multiple Dimensions

In the case of frame inversion (#5) of two interacting particles, unless inhibited by special conditions [the life unit, Corollary #12], we end up with 6 apparently different dimensions, three each of the two T-frames, respectively. We require 3n dimensions to represent n particles.

#11: Temporal Non-Locality

When the interaction eventually comes out from the time region back into the conventional frame, as at the measurement site, the reference frame has to be switched from the T-frame back to the familiar S-frame. Like in the Case of Corollary #6, frame switching entails the phenomenon of non-locality. But this time, it is the non-locality in time, since the switching is T->S rather than S->T, and so the origin of the S-frame appears "everwhen" at "infinite inverse speed" from the point of view of the T-frame.

#12: Frame Merging

The action of gravitation in the time region of the material sector and of cosmic gravitation in the space region of the cosmic sector are both outward, which results in the merging of the regional T and S frames into a life unit.