## Constitutional Oath:

‘ I, *Citizen*, witness my inertial impact identity and affirm that it is the truth, the whole truth, and nothing but the truth: that I will support and protect the Constitutions of the United States’ State of Colorado and the United States of America with all protection of Constitutional Governments—both foreign and domestic—to and from the same; that I take this obligation freely—without any purpose of evasion or mental reservation; that at this historical moment I signal my willful intent to well and faithfully create this record—so help me: Citizens and Nature. ’

## Causal-Mechanical Oath:

‘I, Citizen, witness my inertial impact identity and affirm that it is the truth, the whole truth, and nothing but the truth: that I will support and protect the Constitutions of the United States’ State of Colorado and the United States of America with all protection of Constitutional Governments—both foreign and domestic—to and from the same; that I take this obligation freely—without any purpose of evasion or mental reservation; that at this historical moment—with **terms for the directivity of time**—I signal my willful intent to well and faithfully create this record—so help me:

Citizens and Nature.’

# System-Multiple Equation

- ∂x Equation —
**{S**; T_{N}= (S_{E}/T_{M})(M)}_{M}= (X Produced)/(X Production Cost at__Multiple__)- S
_{N}= System Scale to Necessity - S
_{E}= Cost of Achievement of Example System including Resources - T
_{M}= X or $ Produced / X or $ to Startup - M =
__Multiple__of Systems Proposed

- S

**Causal-Resultant Edifice:**

Overview:

**Real-World Causal Mechanics **– A realizable experience indicates where the cause is and where the result is.

**Statistical Causal Mechanics** – In the statistical grouping, an asymmetrical state in time can develop, owing to unlikely initial conditions caused by the intervention of a proponent of the system, the effect of which is causal.

**OSCC Force Density and Point Source Difference: **The Citizen Directive Casual Coordinates exert a force density existing complete in form as a causal mechanical platform chronicle, such to transmute the precise operational function of OSCC’s delegated role to fulfill its specialized Governmental interface with utilization of the OSCC Citizen Directive Protectorate. Citizen’s participating and obtaining Citizen Directive Declaration(s) create(s) a time pattern or directivity from which a latticework is based for the triangulation of partial derivatives of any and all Citizen-Grade membrane(s) based upon acoustic exhibits for the directivity of time according to live Oaths. The initial point source [dp1] represents the initial conditions to which a secondary point [dp2] is the result. The difference from the initial point source [dp1] prior to inception of Citizen Declaration adoption and certification to the secondary point [dp2] is an approximate spatial difference not equaling zero and an increase in time.

**Solution Development Delineation & Governmental Interface: **Prior to OSCC interface with any form of Government, a Citizen Directive system intrinsically contains a jurisprudential analysis of the terms of the directivity of time, including actual and proposed scenarios to categorically pre‐trace all viable, common and spiritual (or heavenly) pursuit to solution threshold incidence categories, Unfamiliarity/Exemption Protocol(s) and appropriate non-attainability and therefrom each Declaration is created and/or generated. At each independently confirmed, consciously derived, acoustically transduced term of the directivity of time the exchange sequence of the Citizen Directive codes updates with precise notification to any participating Citizen. Development delineation is mapped in terms of causal coordinate base vectors, threshold percentile and the terms of the return of the Citizen Controlled system.

acknowledgement type and threshold percent sequence and development delineation intended for pre‐qualified directivity.

**OSCC Causal-Resultant Specialized Governmental Interface Edifice:**

OSCC is representing the realizable propagation of official Citizen Directive record(s)completed through sublimating Citizen-Grade membranes with active coordinates parallel to the realizable experience of any Citizen consistently capable as an isolated discharge—sovereign and equal, with entire duty declared of the Rights of a Citizen of the United States of America. Each Citizen’s causal-resultant relationship has a certain spatial direction, the base vector of which is signified by i. Therefore, in an actual causal relationship the pseudo-sclari·C2will be oriented by the time pattern. Let us prove that at one point – the cause – and at another point – the result – these values should be in opposite directions. In reality, the result in the future will be situated in relation to the cause, while the cause in the past will be situated in relation to the result. This means that at the points cause and effect should have opposite signs, meaning that there should also be an opposite orientation of the plane perpendicular to i. Then, at a definite i-value we have a change in the type of the coordinate system, and the expression iC2will have different signs. However, if during the transition from the cause to the effect we have a change in the sign of i, the sign of C2 will remain unchanged and, hence, iC2will change sign in this case also. This means that the time pattern is characterized by the values +iC2and constitutes a physical process, the model of which can be the relative rotation of a certain ideal top or gyroscope, eventually comparable to the earth. Each Citizen certified by OSCC to explicit properties of time contributes to a causal force equal to the resultant force to equilibrium. The experiential existence of the OSCC representation platform invites Citizens capable to utilize and attain necessary information for declaration as to apply directivity into a coordinated point in space and time. Therefore, in any Citizen Directive where a Citizen achieves certification there is specified directivity as a developed asymmetrical state in time, by which the Citizen is utilizing OSCC representation as their intervention and proponent within the overall Governmental system, the effect of which is causal to the adopted condition. As a result, the overall system, will lead to the most likely condition; it will prove to be in equilibrium, but then the fluctuations in the entropy of what quality of time will be encountered will occur with equal frequency.

The directivity of conditions must prove real-world attainable, such as Citizen Directive Final Conclusion(s)& Declarations of Decree. Rebuttal of attainability is acceptable with sufficient real-world substantiation, though Governmental response or other form. In reality, the ‘Declaration(s) of Decree’ directivity signifies a pattern continuously existing in time, through which Citizen Directive Operational Protocols and Environmental Procedures enter into systems of elementary mechanics of isolated processes. In which, the Citizen Directive specifications may be appropriated into actuation through the OSCC Citizen Directive Protectorate, or another entity, as the adopted Citizen condition equalizes within an equilibrium state.

**Declaration of Decree Axioms:**

__Axiom I:__ Time possess a quality, creating a difference in causes from effects, which are evoked by the Declarations of Decree of the Citizen Directive time pattern. This property determines the difference in the past from the future.

__Axiom II:__ Causes and results are always separated by space as referenced within the Citizen Directive and Declarations of Decree. Therefore, between them exists an arbitrarily small, but not equaling zero, spatial difference.à¶x ¹ 0 NOTE: Based on the impenetrability of matter; Axiom II forms the basis of classical Newtonian mechanics. It is contained in a third law, according to which a variation in a quantity of motion cannot occur under the effect of internal forces. Therefore, in body there cannot develop an external force without the participation of another body. Citizen Declarations are quantities of motion. Citizens are associated with the properties of bodies; Declarations are coupled only with the properties of time and space. External forces opposed to the Declarations may only develop as a descent from lawful dialectic analysis; exhibiting prima facie dispensation in official Citizen Directive Record to be upheld by Government lawfully.

__Axiom III:__ Causes and results are separated in timeas referenced within the Citizen Directive and Declarations of Decree. Therefore, between their appearance there exists an arbitrarily small, but not equaling zero time difference of a fixed sign.à¶t¹ 0

NOTE: On the basis of the complete reversibility of time, axiom III is lacking in the Newtonian mechanics:¶t = 0.

Axiomatics of Two Extreme Systems – Atomic and Newtonian Mechanics: In atomic mechanics, just the opposite takes place. In it, the principle of impenetrability loses its value and, based on the possibility of the superposition of fields, it is obviously assumed that¶x = 0. However, in atomic mechanics there is a temporal irreversibility, which did not exist in the Newtonian mechanics. The influence upon the system of a macroscopic body introduces a difference between the future and the past, because the future proves predictable, while the past is not. Therefore, temporal environs show ¶t¹ 0, although it can be arbitrarily small. In this manner, classical mechanics and atomic mechanics enter into our axiomatics as two extreme systems. This circumstance becomes especially clear if we introduce the relationship: In a real world, C2 most likely constitutes a finite value. However, in classical mechanics,¶x ¹0, ¶t =0, and hence C2= ¥. In atomic mechanics, ¶x = 0, ¶t ¹0, and therefore C2= 0. Calculations of the Causal-Resultant Chains – Qualitative Physical Properties in the Pattern of Time: In a long chain of causal-resultant transformations, we are considering only that elementary chain wherein the cause produces the result. According to the usual physical viewpoints, this chain comprises a spatial time point, not subject to further analysis. However, on the bases of our axioms of causality, this elementary causal-resultant chain should have a structure caused by the impossibility of the spatial-time superimposition of causes and effects. The condition of non-superimposition in the case of the critical approach is stipulated by the symbols ¶x and ¶t. Hence, these symbols signify the limit of the infinitely-small values under the condition that they never revert to 0, ¶x ¹0 &¶t¹ 0. These symbols determine the point distances or dimensions of an “empty” point, situated between the material points, with which the causes and effects are linked. However, in the calculation of the intervals of the entire causal- resultant chain, they should be considered equal to 0 with any degree of accuracy. However, in the calculation of the low values of one order, their ratio C2 can be a finite value and can express a qualitatively physical property of the causal-resultant relationship. This physical property is included in the pattern of time, formulated qualitatively by hypothesis I.

**Value of C2 as a Velocity & Transition of the Cause to the Effect: **In reality, according to definition I, the value C2has the dimensionality of velocity and yields a value of the rate of the transition of the cause to the effect. This transition is accomplished through the “empty” point, where there are no material bodies and there is only space and time. Hence, the value C2 can be associated only with the properties of time and space, not with the properties of bodies. Therefore, C2should be a universal constant, typifying the pattern of time of our world. The conversion of the cause to an effect requires the overcoming of the “empty” point in space. This point is an abyss, the transition through which can be realized only with the aid of the time pattern. From this, there follows directly the active participation of time in the process of the material systems.

**C2 Defined as a Pseudo-Scalar: **In (1), the symbol ¶t has a definite meaning. It can be established by the standard condition: the future minus the past comprises a positive value. However, the sign of the value for ¶x is quite arbitrary, since space is isotropic and in it there is no principal direction. At the same time, the sign of C2should be definite, because logically we should have a possibility of conceiving the world with an opposite time pattern: i.e., of another sign. The difficulty arises which at first glance seems insurmountable, and disrupting the entire structure formulated until now. However, owing to just this difficulty, it becomes possible to make an unequivocal conclusion: C2is not a scalar value but a pseudo-scalar value: i.e., a scalar changing sign in case of the mirror image or inversion of the coordinate system. In order to be convinced of this, let us rewrite (1) in a vector form, having signified by I the unit vector of the direction of the causal-resultant relationship:

**Orientation of C2: **If C2 is pseudo-scalar, i¶t should be a critical value of a pseudo-vector collinear with the critical vector ¶x. The pseudo-vector nature of i¶t signifies that in the plane YZ of a perpendicular to the X-axis there occurs a certain turning, the sign of which can be determined by the sign of ¶t. This means that with the aid of ¶t, we can orient the plane perpendicular to the X-axis: i.e., we can allocate the arrangement of the Y and Z axes. The time pattern should be determined in relation to a certain invariant. Such an invariant, independent of the properties of matter, can be only space. The absolute value of the time pattern is obtained when the absolute difference in the future and the past will be linked with the absolute difference in the properties of space. In space there are no differences in directions, but there is an absolute difference between right and left, although these concepts per se are quite tentative. Therefore, the time pattern also should be established by a value having the sense of a linear velocity of turning (rotation). From this it follows that C2cannot equal the speed of light C1comprising the conventional scalar.

**Causal Resultant Spatial Directions: **Each causal-resultant relationship has a certain spatial direction, the base vector of which is signified by i. Therefore, in an actual causal relationship the pseudo-scalar i×C2will be oriented by the time pattern. Let us prove that at one point – the cause – and at another point – the result – these values should be in opposite directions. In reality, the result in the future will be situated in relation to the cause, while the cause in the past will be situated in relation to the result. This means that at the points cause and effect should have opposite signs, meaning that there should also be an opposite orientation of the plane perpendicular to i. Then, at a definite i-value we have a change in the type of the coordinate system, and the expression iC2 will have different signs. However, if during the transition from the cause to the effect we have a change in the sign of i, the sign of C2will remain unchanged and, hence, iC2will change sign in this case also. This means that the time pattern is characterized by the values +iC2and constitutes a physical process, the model of which can be the relative rotation of a certain ideal top (gyroscope). By an ideal gyroscope, we connote a body the entire mass of which is located at a certain single distance from the axis. This top can have an effect on another body through a material axis of rotation and material relationships with this axis, the masses of which can be disregarded. Therefore, the mechanical property of an ideal gyroscope will be equivalent to the properties of a material point having the mass of the gyroscope, and its rotation. Let us assume that the point with which the top interacts is situated along the direction of its axis. Let us signify by j the base vector of this direction and consider it to be a standard vector. We can tentatively, independently of the type of the coordinate system, place it in another point: for example, in the direction from which the rotation of the top appears to be originating – in this case, in a clockwise direction. The rotation of the top which is occurring can be described by the approximate pseudo-scalar ju, where u equals the linear velocity of rotation. With such a description and the direction selected by us, u should be pseudo-scalar, positive in the left hand system of coordinates. Let us now consider the motion of a point upon which the gyroscope axis is acting from the position of the point on its rim. Since the distance of this point from the plane of the rim is arbitrarily small, its velocity, computed from the position of the rim in respect to the radius and the period, will be the same value for u. We can draw on a sheet of paper the motion of the points of the rim relative to the center and to the motion of the center from the position of the rim points. The motion is obtained in one direction if we examine the paper from the same side: e.g., from above. However, the infinitely small emergence of a stationary point from the plane of the rim compels us to examine the rotation from another position: i.e., to examine the paper from beneath. We obtain a rotation in the opposite direction, as a result of which we should compare with the gyroscope the approximate pseudo-scalar: i.e., ju. This signifies that the time pattern being determined by the values +iC2actually has an affinity with the relative rotation, which is determined by the value +ju of the same type. It is understandable that this formal analogy does not fully explain the essence of a time pattern. However, it opens up the remarkable possibility of an experimental study of the properties of time. In reality, if into the causal relationship there will enter a rotating body, we can expect a combination of values +iC2and +ju, since this operation is quite permissible from a mathematical standpoint. In other words, we can expect that in a system with rotation the time pattern changes instead of +iC2: it becomes equal to +(iC2+ ju). Let us now attempt to explain which variations can occur in a mechanical system. For this, it is necessary to refine the concept of cause and effect in mechanics.

**Forces of Mechanical Systems: **The forces are the cause altering the mutual arrangement of bodies and their quantity of motion. The change in the arrangement of bodies can lead to the appearance of new forces, and according to the d’Alembert principle, the variation of a quantity of motion for unit time, taken with an opposite sign, can be regarded as the force of inertia. Therefore, in mechanics the forces are comprised of the causes and all possible effects. However, in the movement of a body (1) under the effect of a force F, the force of inertia dp/dt does not constitute a result. Both of these forces originate at one point. According to axiom II, owing to this there cannot be a causal-resultant relationship between them, and they are identical concepts. Therefore, the force of inertia can serve as a determination of the force F. The force F, applied to point (1) can evoke an effect only in another point (2). Let us call this force of the result of the effect S0of the first point upon the second:

**For the first point, however, it comprises the lost d’Alembert force:**

**Pulsed Point Transmissions:**

In conformity with these expressions, we can consider that for the time dt, point 1 loses the pulse dp2which is transmitted to point 2. In the case for which there is a causal relationship between point 1 and 2,¶t ¹0, and between them there exists the approximate difference ¶p2¹0. When the cause is situated at point 1, the transition of dp2from point 1 to point 2 corresponds to an increase in the time. Therefore:

**Forces of The Effect:**

Let us signify by ithe unit vector of effect S0. Then, according to (3): According to (1), the value ½¶x½/¶t can be replaced by C2if we tentatively utilize that system of coordinates in which C2is positive.

Forces of The Reaction (Counter Effect): The factor at iC2comprises a value independent of a time pattern: i.e., a force invariant. In reality, during any pattern of time not only the spatial intervals but also the time intervals should be measured by the unchanging scales. Therefore, the velocity and, consequently, also the pulses should not depend on the pattern (course) of time. As was demonstrated above, in case of the existence of a time pattern iC2in point 2, there must be in point 1 the time pattern –iC2. This means that during the effect upon point 2, there must be a counter effect or a reaction force R0in point 1:

**Transformation of Forces: **Let us now assume that the time pattern has varied and, instead of +iC2 it has become equal to +(iC2+ ju). Then, based on (4), and (5), the following transformation of forces should occur:

__Energy of Time __–

**Graphing and Stresses within the System:** The appearance of the additional forces can perhaps be graphically represented in the following manner: Time enters a system through the cause to the effect. The rotation alters the possibility of this inflow, and, as a result, the time pattern can create additional stresses in the system. The additional stresses alter the potential and the full energy of the system. These variations produce the time pattern. From this it follows that time has energy. Since the additional forces are equal and are directed oppositely, the pulse of the system does not vary. This signifies that time does not have a pulse, although it possesses energy. In Newtonian mechanics, C2= ¥. The additional forces according to (6) disappear, as should occur in this mechanics. This is natural because the infinite pattern of time can in no way be altered. Therefore, time proves to be an imparted fate and invincible force. However, the actual time has a finite pattern and can be effective, and this signifies that the principle of time can be reversible. How, in reality, these effects can be accomplished should be demonstrated sometime by experiments studying the properties of time.