UNIVERSAL REALITY
UNIVERSAL REALITY
The linear coordinates of Lorentz and Euclidean reference frames make measurement of e.g. relative motion uniquely possible. However, independent measurement of spatial and temporal linear increments concerning an object or event (e.g. to compute relative velocity) is but a macroscopic Euclidean notion that (the uncertainty principle of) quantum physics disallows at microscopic scales. Moreover, the space and time coordinates of a Lorentz frame whose speed relative to us is that of light and the spatial and temporal increments of events in that frame lose their direct relationship to us, becoming respectively zero and infinite in our 'Euclidean-like reality'. The conclusion that inertial reference frames must be local rests on a need to measure Euclidean parameters in a reference frame that for convenience is made to approximate Euclidean geometry. This despite the fact that Lorentz reference frames not only fail microscopic application but in fact cannot exist at any scale and at best can only be approximated. One could say that the set of all Lorentz reference frames comprises infinitesimals of one spatial dimension (in the line-of-sight) neither within nor without the universe that thus constitute in a sense the boundary of Lorentz space-time (Relativistic effects will not occur simultaneously in the other two spatial dimensions that are perpendicular to the line-of-sight, since 'macroscopic' velocity is unidirectional). The rejection of a universal reference frame is in other words based on moot constraints of Euclidean and Lorentz geometry that have no external relevance and thus should have no bearing on conceiving an inertial reference frame that is not a Lorentz reference frame. Accordingly, an inertial reference frame may yet be universal if we discard its Euclidean constraints and account for the dissonant role of the temporal co-ordinate in Lorentz geometry.
An inertial frame will provide a universal reference when free of all forces at any scale, i.e. all its spatial points are at rest and each occupies a unique set of spatial coordinates at any and all time (even though these coordinates will not be linear or at rest in a Lorentz reference frame). A point is at rest when its spatial and temporal increments are respectively zero and infinite (ds=0, dt=¥; note the correspondence with Lorentz contraction and dilation in frames moving at the speed of light according to Relativity). A point whose locus forms an orbit around a gravitational entity in a Euclidean reference frame could be at rest in a non-Euclidean reference frame and will be so in the universal reference frame. Accordingly we will chose as reference frame one in which the state of the universe is such that none of its constituents undergoes any motion from its own vantage point, i.e. acceleration applies to the aggregation of gravitational entities which, however, individually are in a state of equilibrium and do not experience its compelling action (any sub-luminal velocity in a Lorentz frame being the result of prior acceleration, except zero velocity and- by definition and nature- the velocity of light)
The implication of the last statement may not be immediately obvious, but actually means that the universe be described in purely geometric terms. In effect the geometry of this universal reference frame is equivalent to the space-time geometry of our universe as 'distorted' by its constituents- the entire universe conceived as a Bose-Einstein Condensate. One might wonder what could be gained from such an unwieldy and very baroque reference frame? Everything it turns out: at the expense of concepts such as relative motion relative motion we will be able to gain an understanding of the nature and geometry of space-time in ways that neither Relativity nor the Quantum theory has been able to provide.
One significant dividend of the universal reference frame is that all the forces of nature are inherently integral and all manifestations that may be evident in sub-ordinal frames such as a Lorentz reference frame are internalised and thus unified (i.e. it will provide a common reference). The strong and weak (nuclear) forces concern interaction between nuclear particles that are limited to a short finite range and, hence, the strong and weak forces do not exhibit separate extrinsic attributes in the universal frame, i.e. they are in a sense artifacts of our Euclidean perception. Gravity and the electromagnetic force also interact with individual elementary entities and are thus similarly integral to the universal reference frame. However, the range of gravity and the electromagnetic force is without limit and thus permeates the universal reference frame in which all associated motion including that at the speed of light is as if brought to a halt. Presently we will show that gravity and the electromagnetic force apparent in Lorentz reference frames delineate the universal reference frame and confirm the geometrical nature of the universe. A geometrical basis for our universe means that all matter and the forces apparent in a Lorentz reference frame originate from geometrical differences with respect to the universal reference frame. (The lack of such reference explains why it has been impossible to identify the basis for the attractive and repulsive forces that emerge with different ranges of action). However, we do not intend to elaborate on the myriad particles that emanate from Euclidean reality (and its proxy Lorentz geomentry) and the interaction between them, since as inferred above, these are derivative. However, we will refer to their ultimate constituent as an elementary object.