A detailed discussion of the auric geometry and mechanics has been presented. Fundamentals of the mechanics and mathematical modeling regarding the process of energetic leakage as a result of microfracture of auric skin due to differential pressure across the auric boundary layer has been deliberated. A comprehensive account of the theory of elasticity pertaining to the subject matter based upon tensorial formulation has been presented. It is explained that microcracks occur in the auric skin due to excessive tensile strain or stretch as a result of disproportionate differential pressure within and without the auric field. The pertinence of microcrack nucleation, opening in cleavage, and propagation due to a compressive [as opposed to tensile] type stimulus such as pressurizing has been clarified to be due to a phenomenon in mechanics of continuum known as the Poisson’ Effect. It is concluded that auric energetic leakage or bleeding occurs when excessive stretch occurs in the auric skin that is given by:
ϵcrit = ϑ ∆p / E
Where ϑ [Poisson Ratio] and E [Young’s Modulus] constitute the material properties of the auric skin, ∆p denotes the extent of differential pressure existing within and without an auric layer, and ϵcrit depicts the critical value of stretch in the auric skin causing microfracture.
And indeed, when the pressure inside and outside an auric layer is the same, the distributed pressurizing forces resulting at the auric skin cancel one another out, and consequently ∆p= 0, and thus tensile stretching of the auric skin does not occur.
- There exists a micro-cosmos associated with human energetics that interacts with the macro-cosmos.
- This is commonly referred to as the human aura.
- A human aura constitutes a storage containment of energy that surrounds the human body.
- It is of an Ovoid shape, resembling an egg-shaped enclosure that ordinarily stretches above as well as below us about 2-3 feet and has a radius of the same that can span around us as much as 15 feet in diameter.
- These measures, particularly, the diameter, can change as the aura can readily expand or contract.
- There exists a boundary layer associated with aura, which is composed of a skin-like material that is elastic and resilient, thereby giving the aura the capability to stretch or contract.
- The type of the energy that it contains is crystalline, that has its origin in liquid light that is both coherent and intelligible.
- Strictly speaking, the human auric energy is a plasma, composed of ionic particles that are positive and negative in characteristics.
- Although the existence of positive ions [cations] and negative ions [anions] may suggest polarity such as electricity or magnetism, strictly speaking, the human auric energy is of crystalline nature with tendency to ‘flow’ due to a potential gradient that is generated as a result of presence of the cations and anions in the plasma.
- This tendency to flow is somewhat analogous to electricity in which there exist positive and negative poles and a propensity of a multitude of excess electrons present in the negative pole to strive to move to the positive poles, deprived of such electrons, so static equilibrium is achieved.
- Similarly, in magnetism, there are positive and negative poles with the unlike poles attracting each other, and conversely, the like poles having the tendency to repel one another.
- Therefore, the bio-plasmic crystalline light energies contained in the human aura are electric in nature.
- Furthermore, the human auric energies have somewhat of a magnetic characteristic.
- Therefore, although, strictly speaking, human auric energy is crystalline and electric plasma, it does resemble the electromagnetic energies found on 3-D physical earth.
- The electro-crystalline aura interfaces with our physical body and manifests itself as electromagnetic energy.
- The source of such electric crystalline energy is light plasma that is supplied to us through the macro-cosmos via the sun.
The Structure and Mechanics of Aura
- In its simplest form, the aura contains our physical body.
- And, the physical body must interact with the cosmos to receive and exchange energies.
- Also, our electric, crystalline auric energy is stealth as its source emanates from beyond our rather limited 3-D dimension.
- Therefore, the operation of human aura, even in its simplest form, must interface with ethereal higher dimension, and therefore, there must exist a second auric layer that operates just beyond [within] our physical 3-D dimension.
- There exists a boundary layer or ‘skin’ at the outer domain of the physical body auric layer that is composed of a double membrane lamina sheet.
- The double membrane is composed of an intricate circuitry of electrical, crystalline texture that conducts the crystalline energy into and out of the auric field.
- The outer membrane shell has a circulatory direction or flow opposite to the lower membrane ‘skin’ that is situated at the innermost of our physical auric body.
- The purpose of the upper membrane is to conduct the flow of cosmic electro crystalline energies into our auric field.
- In contrast, the lower auric membrane skin layer has a circuitry structure anti-symmetric with the above membrane layer, thus being suitable for discharging the auric energies out of the auric field and into the etheric body.
- Therefore, apart from our physical body containing bio-plasmic energy, there exist other intricate physical auric bodies, which are stealth to the naked eye.
- The first of such ethereal bodies is simply referred to as the ‘etheric body,’ which constitutes the interface of the 3-D physical and the higher dimensional ethereal bodies.
- The domain of operation of the etheric body, therefore, is just outside the 3-D and before traversing the higher [4th] dimension.
- It is the part of you that begins to interact outside your active physical consciousness piloted by your physical mind through your brain.
- It is your portion that works with intuition as may also be characterized through ‘gut feelings,’ interfacing with or driven by your solar plexus [3rd] chakra.
- Each ethereal body constitutes or occupies a separate auric layer.
- In contrast to the physical body that operates in the beta frequency of the mind state, your frequency must change to that of the alpha frequency of mind state through calming down the active energy of the physical consciousness [achieved in meditation or dream state], and upshifting to the higher sub-conscious frequency of consciousness or awareness.
- And, similar to this physical-interface boundary layer double membrane sheet lamina constituting the auric skin of the physical body, there exist other analogous double sheet lamina that conduct electro-crystalline energies into and out of a particular auric layer or energetic body to another.
- Therefore, your auric field is essentially a laminated composite structure consisting of separate auric layers or laminates that represent a particular ethereal body.
- And, although we are born with a total of 7 auric layers already intact, we are conditioned to primarily utilize the first two auric layers, with the greatest majority of emphasis on the physical body.
- The other ethereal bodies progressively get activated later in time, particularly the causal and the spiritual bodies indigenous to the higher portions of the 4th
- And, all this occurs during dreams state and during night when we are sleep, when we depart our physical bodies and begin surfacing higher dimensions of consciousness, with visiting the 4th dimension becoming the usual stopover as this state of mind is achieved easier.
- In contrast, reaching the causal and spiritual states are accomplished less easily as this requires switching to the theta state, which is a requisite to enter the crystalline dimensions of higher consciousness [5th dimension and above].
- Note that the 4th dimension [as a typical even dimension of consciousness], also represents a bridge to the parallel dimensions of alternate realities, which have the same structure and requisites, and are governed by the same laws of mechanics and physics.
- The parallel dimensions present forums for us to explore more, and get more ‘life’ experiences, thus adding to our educational endeavors.
- The sagas or paradigms of life are similar but there are certain twists to them that deviate more and more as one lives 12 distinct paradigms of life through 12 separate aspects of soul referred to as the SELVES.
- This is achieved extensively via dream state when we temporarily part from one paradigm of physical reality through sleep, and it occurs constantly and almost simultaneously through sequential jumping and multidimensionality via our discrete and quantum consciousness [see companion papers by the author].
- When one operates within the ‘alpha state’ of mind, higher than the ‘beta state’ indigenous to 3-D, one begins to expand one’s auric layer to that representing the ‘etheric body.’
- To be able to envision different ‘bodies’ through definition of a multi-layered auric field, one needs to discern the existence of a boundary layer through which energies are transferred to and fro by a membrane-like medium in an electrical manner through a planar, or laminar, circulatory mechanism.
- Furthermore, as such an electric circuit is bound to have a to and fro characteristic, the existence of a double electro-crystalline circuits contained within a auric boundary layer, one dedicated to flow the crystalline light energy in and one for exchanging the auric energy without, must be kept in perspective.
- Also, being a boundary layer, a particular membrane-like structure must have a certain threshold values associated with it, which when reached, it makes it possible to traverse to higher levels of electric crystalline energies.
- And, of course, higher levels of crystalline light energies are associated with upshifting to higher frequencies indigenous to expanded consciousness of higher dimensions.
- In this respect, the ‘etheric body’ represents the gateway to the 4th dimension.
- And, consciousness manifests itself through thought and emotion, with the latter demanding a lower frequency of vibration.
- Therefore, one can envision additional ethereal bodies or auric layers beyond the second auric layer that constitutes the incipient gateway to higher ethereal realms of light energies/planes of consciousness.
- Thus, a third auric layer may be defined as our ‘emotional ethereal body,’ and the fourth auric layer representing our ‘thought ethereal body.’
- And, one might expect that the emotion and the thought ethereal bodies/auric layers are indigenous to different planes contained within the 4th dimension of consciousness.
- The 4th dimension is a ‘transitional’ realm that is, in essence, an extension of our 3-D physicality that is stealth, yet totally interrelated.
- Therefore, although stealth and ethereal in nature, the 4th dimension is bound by the same laws as 3-D physicality.
- In contrast, the 5th dimension, is totally distinct from the realm of 3-D physicality and dimensional consciousness.
- There is no separation, no fear for survivalism, no competition, anger, greed, etc.
- Most importantly, it is governed by unity and collective consciousness as opposed to a survival of the fittest mechanism.
- Furthermore, there is no polarity or duality, and gravity is no longer pronounced as in 3-D.
- Therefore, this feature of a distinct law of mechanics necessitates the advent of a different body structure that in conformity with requirement of a notably higher threshold for natural frequency, which has a remarkably lower gravitational mass or body weight.
- Remember that consciousness quantified by the natural frequency of a body is inversely proportional to the square root of the mass, density, or weight of the body.
- Furthermore, higher consciousness demands much more discipline and order of thought and emotion.
- Therefore, the 5th dimension necessitates a distinct body format than that of the 3-D, which is chaotic and amorphous.
- In this respect, the 5th dimension demands crystallinity and laser-like order.
- Furthermore, the energetic structure of the body upshifts to electric crystallinity instead of being of electromagnetic form.
- The upshift from amorphous to crystalline, electromagnetic to electro-crystalline, duality to monolithic, and separatism to unity consciousness define an upgraded realm of existence in a distinctly higher dimension.
- And, in order to prepare for such a higher form of life, it makes sense that the 4th dimension would contain higher planes of ethereal existence for a transitional state of existence.
- Therefore, beyond the thought ethereal body/4th auric layers, there must exist other ethereal bodies or auric layers.
- These are commonly classified as the ‘causal’ and ‘spiritual bodies.’
- The causal and spiritual bodies are indigenous to the upper planes of the 4th dimension.
- The causal body constitutes yet a higher state of thought form, followed by the theta state of mind, which is state of high spirituality and the incipient point for crystallinity, and the gateway to the 5th dimension.
- Beyond the theta state of mind is the delta state of consciousness, which is indigenous to the crystallinity form of consciousness of the 5th and higher dimensions.
- Therefore, until we acquire crystallinity we operate within 3-D and the 4th dimension.
- This corresponds to the first [physical] to the 6 other [ethereal] bodies.
- And, when we become crystalline, the 7th auric layer expands to encompass all 6 other layers.
- Such is the nature of the higher [odd] dimensions, which always ‘see through’ or control all lower bodies/dimensions.
- For example our 3rd dimensional aspects automatically controls our lower dimensional aspects [1-2].
- Dimension one essentially describes our need for nourishment and interfaces with minerals in our physical body [the mineral instinct].
- On the other hand, dimension two characterizes our need for procreation and propagation/longevity of our specie [the animal instinct].
- Another example for such automatic instincts is our motor skills, which requires no active thought or deliberation.
- In fact, deliberation often ‘spoils’ the desire for fulfillment of the mission or intent [e.g., appetite, sex, robotic/animation, or say driving].
- When our crystalline ethereal body [the 7th auric layer] gets activated, we begin to explore the crystalline realms of consciousness [5th dimension and above] by progressively leaving the 4th realm of consciousness.
- When this occurs, the 7th layer encompasses the lower 6 bodies, and age of crystallinity begins.
- This is the realm of expanded consciousness of the 5th dimension.
- Here, our number of chakras increases to 12 fully operational energetic particle accelerators.
- Soon, thereafter, we grow another auric layer, the 8th auric layer.
- This is referred to as the Level I Crystallinity.
- The number of activated chakras within the body [now of a crystalline silicate-based and semi-translucent type] suddenly increase to 8 x 12 = 96 chakras.
- Beyond this, there is yet another transitional state indigenous to yet higher dimensions, which is referred to as Level II Crystallinity.
- When we reach Level II Crystallinity, the auric layers have expanded and reached a total of 12 layers, each interfacing with 12 chakras for a total of 12 x 12= 144 chakras.
- Further on, when our aura has expanded optimally and the auric layers have increased to total of 20, we reach level III crystallinity, interfacing with the 9th dimension and above, and no physical body is required anymore to explore the realm of physicality dimensions.
- When level III crystallinity is reached a total of 20 x 12 =240 active chakras illuminate our body like the Aurora Borealis, and we approach becoming fully Light Beings.
- Therefore, in order to recapitulate:
- Aura is a composite system consisting of distinct auric energetic layers.
- The energy is of crystalline-electric nature, which is supplied to us in plasmic form by the macro-cosmos/sun.
- Each auric layer has a specific frequency associated with it that is indigenous to that body/layer.
- There exists a double membrane composite sheet between each layer that has a twin electrical circuits operating in opposite directions; one for bringing energy into the layer and one for discharging energy out of the said body.
- The double membrane sheet boundary layers between auric bodies have certain threshold energy level/frequency of vibration that must be met before traversing to a higher body/layer.
- Each auric layer has its own skin or boundary layer that is resilient, giving the auric body the capability to expand or contract within certain threshold.
- If the elastic limit of each membrane auric layer skin is exceeded, the auric boundary layer is damaged, resulting in leakage of energy contained within that particular layer/body.
The Mechanics of Auric Microcracking Damage and Leakage
- When there exists a differential pressure within and without a particular layer [most pertinently our physical auric layer], stresses are built up within that particular auric boundary layer.
- Stress is a quantity defined by the amount of force per unit area.
- Pressure, on the other hand, has the same dimensional unit as stress as it represents the distribution of force upon a given boundary area.
- The subject of pressure is most pertinent to fluids such as liquids, plasma, etc., where there is no solidity or geometric pattern.
- Instead, the molecules or atoms freely move about the continuum without any constraint.
- In such circumstances it is customary to define pressure, as opposed to force, which represents force per unit volume or area when the liquid interfaces with a barrier.
- In the case of latter, pressure exerted upon such barrier is defined as force per unit area, which closely resembles the quantity of stress.
- Force, when applied in a uniaxial fashion, causes either stretch [through pulling] or contraction [through a pushing action].
- And, stress generates strain.
- Strain is defined as the amount of stretch or contraction per unit length.
- For any given material, obviously, the magnitudes of stress is related to strain.
- The mathematical equations that describe the relationship between stress and strain is referred to as the ‘constitutive’ equations.
- The behavior of a given material under load [generating stress and strain] is called the constitutive response.
- There are typically two types of stress or strain.
- These may be classified as ‘tension’ [or ‘compression’ depending on the direction of load] and ‘shear.’
- The tensile or compressive stresses are classified as ‘direct’ stress/strain.
- Tension is associated with a ‘pull’ and compression with a ‘push’ action.
- In a one dimensional element such as a tie or a rod, tension is associated with pulling the both ends of the element in opposite directions [out from each end], and compression occurs when you push both ends towards one another.
- Under such loading condition, the [direct tensile or compressive] stress [usually denoted by σ] is defined by:
Where P denotes the load and A the cross-sectional area of the bar
- While, the [direct tensile or compressive] strain, usually denoted by ε is defined by:
ε = δ/l
Where δ denotes the deflection [extension or contraction] and l denotes the length of the bar
- In a planar structural element such as a plate, shell, membrane, or a laminate, stress- strain occurs when the forces act in a distributive manner along the edges, causing the element to either stretch [tension] or contract [compression] along that particular direction of the applied loading.
- Shearing stress-strain, on the other hand, occurs within a given plane [say the plane of the auric membrane sheet or ‘skin’] when the plane is distorted through in-plane rotation [see diagram below].
- In this respect, the shear strain is defined by the aggregate rotation of the planar body, as it may be envisioned through rotation of its edges [usually designated by γ:
θ1+ θ2= γ
Where θ1 and θ2 denote the rotations of the edges of the element
- Stress and strain are related through definition of certain material constants specific to a particular material.
- Tensile [or compressive] stress is related to tensile [or compressive] strain through specification of a parameter known as the Young’s Modulus.
- If you imagine that you apply the tensile or compressive loading along a particular direction 1, and that the stress is denoted by σ1 and that ε1 denotes the corresponding direct strain, then the simple constitutive relation may be specified as:
σ11= E11 ϵ11
Where, E11 denotes the value of the Young’s Modulus when the material is loaded in the direction 1.
- If we were to attach a coordinate system consisting of three mutually perpendicular axes in the 1, 2, and 3 directions, one could generalize any direction through specifying the tonsorial equation:
σij = Ejk ϵkj
Where i = 1 or 2 or 3 [usually written as i = 1, 3 meaning 1 to 3]
With same applying to indices k and j, where i = j and k = j
- Therefore, there are only 3 scalar numbers necessary to define this type of behavior, which are E11, E22, and E33.
- And, indeed, this is why this type of stress-strain is called ‘direct’ as one loads the material in the i direction and measures the strain in the same direction.
- On the other hand, shear stress and strain are related through definition of a material constant referred to as the ‘Modulus of Rigidity.’
- If we denote the shear stress by τ and the shear strain by γ, in an analogous fashion, the shear stresses and strains are related by a tensorial constitutive relation as:
τij = Gjk γkj
Where again, i =1, 3 as well as j =1, 3 and k =1, 3 and j ≠ k as well as i ≠ j
- Note the reduction or ‘contraction’ quality of the tensorial index k relating a tensorial quantity of order 2 [shear stress] to another tensorial quantity of order 2 [shear strain]
- In this respect, there are only 6 scalar numbers required to define the shear behavior, which are G12, G21, G23, G32, G13, and G31.
- It will soon become clear that, indeed, the scalar quantities describing Young’s Modulus and the Shear Modulus [Modulus of Rigidity] G are inter-related, as one would expect when describing the properties of a certain material.
- The Young’s Modulus and the Modulus of Rigidity are inter-related through definition of a material constant known as the ‘Poisson’s Ratio ϑ, which soon will become evident as to why it is called a ‘ratio.’
- Generally, the shear stresses and shear strains describe the in-plane material behavior, while direct stresses and strains depict the out-of plane response of the material due to loading.
- While, it is expected that direct stresses and strains would be described through definition of tensorial quantities of like-indices, shear would obviously involve distinct mutually perpendicular coordinates, typified by planar [as opposed to single rectilinear] characteristic, so they are depicted through definition of tensorial quantities involving distinct indices.
- However, if we were to denote the direct stress [or strain] as well as shear stress [strain] by same symbols, i.e., generally stress by σ, and strain by ϵ, and let tensorial indices define the direct [normal or perpendicular] aspect through like indices, and shear through different indices, then one generally can write:
σij = Kijkl ϵkl
Where clearly σij with i = j represent direct [normal] stresses along principal axes,
Where clearly ϵkl with k = l represent direct [normal] strains along principal axes,
Where clearly σij with i ≠ j represent shear in-plane stresses
Where clearly ϵkl with k ≠ l represent shear in-plane strains,
Where also, clearly, σ11 ≡ σ1, σ22 ≡ σ2, and σ33 ≡ σ3 [equivalent]
Where also, clearly, ϵ11 ≡ ϵ1, ϵ22 ≡ ϵ2, and ϵ33 ≡ ϵ3 [equivalent]
Where also, clearly, Kijkl = 0 when ij≠ kl [unrelated or meaningless]
- Note that the concepts of ‘direct’ [or ‘normal’] and ‘shear] stress/strain are totally distinct and independent of one another.
- The above equation is a tensorial equation of order 4 [4 indices involved].
- Furthermore, it represents 3 permutations, corresponding to a system comprised of 3 distinct coordinate axes.
- Therefore, it generally contains a total of 34 = 81 material constants.
The Poisson Effect
- The Poisson effect is an interfacial phenomenon governing the effect of one stimulus upon another.
- In the context of our discussion, the Poisson effect describes the effect of applying the force in one direction, say i, and observing the effect in a mutually perpendicular direction, say j, where again the range of j is defined to be 1 to 3 [or, again, j = 1, 3].
- As easily intuitively as well as experimentally verifiable, it states that when you pull a body in one direction, say, it will contract [shrink] in a mutually perpendicular direction j, where i ≠ j.
- Conversely, when one pushes upon the body in one direction, it stretches [or bulges out] in other [different] mutually perpendicular directions.
- The ratio of the applied strain in one principal direction, say i, to a thus generated strain in the principal direction, j [i ≠ j] perpendicular direction to the applied loading is a constant characterizing the mechanical constitutive behavior of the material and is denoted by the symbol , where:
ϑij= – ϵi/ϵj
Where, ϵii/ϵjj ≡ ϵi /ϵj, [i ≠ j] representing a maximum of 6 components ϑ12, ϑ21, ϑ13, ϑ31, ϑ23, and ϑ32
- And, it is the Poisson’s Effect that is responsible for the phenomenon of microcracking in an auric boundary layer or skin due to differential pressure.
- When there exists a differential pressure across an auric skin, generated due to a difference of pressure existing within and without the aura, it creates ‘pinching’ in the auric skin, giving rise to compressive loading across the auric skin.
- This compressive stress or strain, in turn, generates stretching of the auric skin.
- And, it is the excessive tensile strain that causes microcracking.
- Typically, if the stretch is excessive, the auric skin develops auric microcracks, thus leading to energetic particle depletion through leakage.
- This mode of microcracking is classified as ‘mode I’ or ‘cleavage’ microcracking.
- A cleavage microcrack opens up as a result of tensile strains acting across its microcracked face.
- For illustration refer to the following diagram.
- A microcrack created in an auric boundary layer due to differential pressure existing within and without the aura extends across the depth of the auric layer.
- When the depth of such opening reaches a value greater than the depth of the double membrane auric interfacial lamina located between two consecutive auric layers, the opening extends into the adjacent layer causing leakage.
- Equally important is the actual incipient length of the microcrack generated in an auric boundary layer that is dependent and symbiotic with the extent of microcrack opening progression across the depth of the auric boundary layer.
Symmetry through Homogeneity and Isotropy
- Homogeneity depicts a condition where there are no ‘localization’ of material anywhere in the entire materials.
- This means every part of the material exhibits the same properties.
- Typically, crystalline materials represent prime examples for homogeneous structure, if they do not contain defects resulted from manufacturing or damage in any part of their structure.
- Crystalline materials consist of identical crystalline cells that repeat themselves throughout the body, constituting grains that appear totally randomly and in abundance throughout the body.
- Isotropy, on the hand, portrays, a condition where the material does not exhibit any preferential direction or axis that may be loaded throughout its body or structure.
- It means that if you cut an ingot of the material in any arbitrary way, and test it longitudinally or transversely, and about any arbitrary direction, it shows identical mechanical properties.
- Hence, it is impervious to direction or geometry.
- As an example of a non-isotropic material, one can consider either wood [known as orthotropic], where its fibers run along certain preferential direction.
- Fiber-reinforced resin composites, or reinforced or pre-stressed concrete, constitute the same scenario.
- In actual reality, most engineering materials possess a modicum of heterogeneity] and anisotropy as their constituent parts are chaotic, not crystalline, and amorphous.
- Even crystalline solids manufactured by man contain certain degree of irregularities, or defects in their structure.
- On the other hand, the cosmos is perfect, and purely crystalline, especially the electro-crystalline energies that come to our auras for thought-emotion utilization – at least originally and initially.
- What occurs in our physical bodies as a result of power of will consumption, transformation, or energetic conversion, is another story.
- In any case, our etheric boundary layer, and other corresponding ethereal layers are crystalline and defect free.
- Therefore, the auric boundary layers sandwiched between our distinct auric energetic bodies are crystalline and behave homogeneously, isotopically, and in a fully ordered manner.
- Thus, the system response is fully symmetric, and it behaves homogeneously and uniformly no matter in what particular direction [1, 2, or 3] it is stressed.
- Homogeneity and isotropy dictate that the material [e.g. auric skin] possess only two material constants.
- These are Young’s Modulus, depicting the normal or direct aspect of its mechanical material behavior, and the Poisson’s ratio , which portrays the mutual effect of loading or straining in any particular direction and its consequent effect on the bulk of the material, as may be characterized by its influence on a generated strain in parallel planes all perpendicular to the direction of the loading.
- It may easily be proven that the following relation exists among Young’s Modulus , the Modulus of Rigidity G, and the Poisson’s Ratio ϑ:
G = E/(2 [1+ ϑ])
- The value of the Poisson’s Ratio for engineering material is commonly 20% to to 30% [0.2 or 0.3], and it is limited to about 1/3.
- For most materials E and G typically change with one another.
- For example, for auric skin under dry conditions, it is expected that the Modulus of Rigidity increases with dryness, which accentuates auric boundary layer microcracking.
- Dryness by virtue of the above relation also leads to higher Elastic Modulus E, and as it will become apparent soon, it will reduce the threshold for microcracking of the auric akin.
The Problem of Auric Skin Microcracking
- The problem of auric microcracking at the interfacial double shell lamina occurs as a result of built up of a differential pressure across the auric boundary layers.
- If we denote the differential pressure within and without a particular auric layer by ∆p where pi and p0 denote the internal and external pressures of an auric layer, respectively, one can write:
∆p = po– pi
Where analogous to stress, pressure is measured in force per area
- Note that when the pressure inside and outside an auric layer is the same, the distributed pressurizing forces resulting at the auric skin cancel one another out, and consequently ∆p = 0.
- Otherwise, ∆p causes tensile stresses/strain in directions orthogonal to the direction in which ∆p is applied.
- Note that strictly speaking the auric shells are of curvilinear geometry instead of having simple rectilinear edges at the separation points.
- However, considering that these separations create microcracks of lengths being highly negligible in magnitude when compared to the height and the diameter of the associated Ovoid geometry of the auric field, for all practical purposes, the generated microcracks can be considered to have rectilinear edges.
- Furthermore, due to such a microcracking damage scheme, cleavage opening occurs as a result of excessive stretch and creation of microcracking in the skin.
- Again, using the usual symbols discussed earlier:
ϵ = ∆p/E
- And, when the differential pressure reaches a certain critical value ∆pcrit, the stain becomes large enough in the auric skin to form microcracks.
- Furthermore, if the differential pressure persists or increase even further, the microcrack zips in cleavage mode I as described.
- The opening of such microcracks can cause auric energetic leakage [bleeding].
- The pressure acting across the auric boundary layer, indeed, imposes tensile strain in the other mutually perpendicular directions that define the surface/plane of the Ovoid shell.
- This, of course, occurs as a result of the Poisson’s effect that creates tensile strains in the plane of the shells that can described by the following two equation:
ϵ22 = -ϑ (-∆p)/E
ϵ33 = -ϑ (-∆p)/E
- Clearly, ϵ22 = ϵ33.
- Then, generally, the critical value for microcracking strain at the auric boundary layer, ϵcrit , may be given by:
ϵcrit = ϑ (∆p)/E
- And, clearly, microcracking occurs when this strain value reaches this certain critical state.
- Note that this simple analysis [deduction] presented regarding the valuation of the tensile strains along the two principal rectilinear directions representing the auric boundary layer or skin is not, strictly, fully accurate, as the geometric curvilinear aspect of the Ovoid auric skin is not considered.
- Instead, the auric skin is considered to be simply rectilinear depicted through a Cartesian coordinate system.
- Due to the curvilinear geometry of the Ovoid shape of the auric skin, it is more accurate to use a curvilinear, as opposed to a simple Cartesian system of coordinate axes.
- The tensorial equations of the general anisotropic linear elastic elasticity discussed earlier may be applied to any kind of coordinate system [Cartesian, cylindrical, spherical, Ovoid, or any general curvilinear system] to derive at a more detailed mathematical model.
- Generally speaking, the value of the curvilinear strains would be slightly different.
- However, in this paper, it is attempted to present a general understanding for the problem of auric energetic leakage, and not split hair regarding precise and perfect mathematical formulation.
- Besides, as it was said, even a more detailed mathematical formulation based upon curvilinear, shell, or Ovoid type geometry, would not render a magnitude for tensile strain generated in the auric skin that would be notably different than those reported herein.
Institute Of Spiritual Science Inc. Publishing 2015.
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