UNIVERSAL REALITY
The ‘universal reality’ of ‘all’ can be conceived as one, and when so envisioned its Universe is fundamentally and uniquely geometrical. One that is indivisible lest it become several fractions constituted of units metamorphosed into mere facets of a compound entity. One thus ranges from the smallest unit (that can be perceived in Lorentz space-time) to the Universe itself.
Nature’s geometrical basis endows a unit in Lorentz space-time with an identity that is unique from all other units: inviolability is its essence. Observation of a compound as a unit as opposed to a composite of individual units means the latter coalesce losing their independent status. However, a compound’s vectors are not necessarily collinear with any of those of its constituents, hence, its essence will include a temporal extension beyond the Lorentz space-time of the elementary objects that are its constituents: a compound may be perceived constituted as an independent ‘elementary’ unit with its own unique temporal vector. Consequently, while integral to universal reality, a compound cannot be understood in terms of the Lorentz space-time of its constituents and vice versa (constituents which yet may maintain their individuality in another Lorentz frame, e.g. as separate or just an aggregate of units). Note that a presumed ‘collective’ of an aggregate is an inadmissible state as an aggregate entity is not a separate elementary (inviolable) unit of which it would be a state. Accordingly, a comparison of a unit conceived of a compound and such collective state is inappropriate as would be between dissimilar entities. Hence, the notion that a compound is ‘more’ than its constituents is meaningless and misleading: in order to qualify ‘more’ subjective criteria must be introduced by the observer. (The relation ‘more than’ requires that the two compared entities share predicates- attributes of like class, e.g. a peach may be juicier than an apple, while the latter has more seeds, but a peach cannot be just ‘more’ than an apple). Any vector of an elementary unit may in turn yet be a composite vector composed of the vectors of other units whose direction will only incidentally be the same, and thus otherwise will be component vectors. Accordingly, a compound may be discerned as a composite of individual units or it may be perceived transformed into a new unit whose vectors are congruent with the vector addition of the individual units.
Addition of spatial vectors of individual units renders a resultant vector in 3-space. However, the imaginary temporal vectors of individual units will either be perceived separately, each in terms of components that are collinear with the observer’s temporal vector, or will add up their temporal vectors to the resultant temporal vector of a compound system that subsumes the observer. When the observer considers itself part of the compound system, other imaginary temporal vectors of a compound’s constituents are inherently inaccessible in (the macroscopic time of) Lorentz space-time (i.e. apart from temporal vectors that incidentally are coincident with that of the observer and the resultant temporal vector- only the constituents’ collinear temporal components will be perceived). The resultant temporal vector will be equal or larger than the sum of the individual temporal vector components by a factor equal to the cosine between the two possible directions of the observer’s temporal vector (an uncertainty present at any scale).
While all one in universal reality, the above relationship between units, whether they be singular or compound, means that in a human context an individual in its Lorentz space-time is an autonomous sovereign unit. A unit is autonomous when, in spite of interdependence, it retains its sovereignty from an aggregate body, whether the one it inhabits or an association it has with others, and not only during but also beyond the time span in which the aggregate retains its integrity. Accordingly, sovereignty does not mean that an individual can choose to ignore others but imparts a commensurate responsibility to respect the sovereignty of others. Likewise, neither does sovereignty mean that one should shun association and so forgo economies of scale. Quite the opposite, indeed the largest possible resultant temporal vector will obtain when the temporal vectors of the observer and other constituents of its association are collinear. Accordingly, an association should be entered into freely for should its goals subordinate- that is, not be- those of the individual, the latter’s sovereignty would be violated and the resultant temporal vector rendered less than optimal. Therefore, the ultimate choice whether to associate with another entity or regard it as an individual unit, rests exclusively with the one unit endowed to observe and does not derive from the other entity (even if a compound that as a unit may exercise a similar prerogative in its Lorentz space-time). Consequently, ‘universal reality’ imposes a maxim that our privilege to carve and observe the convoluted section we may call our own Lorentz space-time, rests on our covenant to hold the sovereignty of a unit capable of observing as inviolable, from which derives our duty to uphold this privilege of others as a right to which all other laws must conform.