@article{Giorgallides_2018, title={The How Energy from Chaos becomes ,The Spin of monads ,Their Energy – Stores , And Photons}, volume={4}, url={https://ijrdo.org/index.php/mce/article/view/2065}, DOI={10.53555/mce.v4i5.2065}, abstractNote={<p><strong><em>From Mechanics in case that , </em></strong><em>in an Axisymmetric Rotating Body , with constant Angular-Velocity</em> , w , <strong><em>the moment of Inertia , </em></strong>span style="font-family: Cambria Math;font-size:8pt;color:rgb(0,0,0);font-style:normal;font-variant:normal;"&gt;��� = span style="font-family: Cambria Math;font-size:8pt;color:rgb(0,0,0);font-style:normal;font-variant:normal;"&gt;��� <strong><em>, </em></strong><em>is equal about the two ofthe three Principal axis </em>, <strong><em>then </em></strong>,<br><strong>1.. </strong><strong><em>The Angular </em></strong><strong><em>– </em></strong><strong><em>velocity - vector , </em></strong>���� <strong><em>, </em></strong>describes the Ellipsoid of Angular Velocity and its nib describes a Cone of which Plane-Base is Fixed , <strong><em>and Simultaneously </em></strong>,<br><strong>2.. </strong><strong><em>The Angular-Momentum , </em></strong>���� <strong><em>, </em></strong>describes the Ellipsoid of Angular-Momentum and its nib describes a Cone also of which Plane-Base is also Fixed .<br><strong>3.. </strong><strong><em>The Nib of Angular </em></strong><strong><em>– </em></strong><strong><em>velocity - vector </em></strong><strong>, </strong>���� , describes on the Tangential-Plane of the Angular-Momentum-Ellipsoid , <strong><em>the Herpolhode </em></strong>, while ,<br><strong>4.. </strong><strong><em>The Nib of Angular-Momentum </em></strong><strong>, </strong>���� , describes on the Tangential-Plane , of the Angular-Velocity-Ellipsoid , <strong><em>the Polhode </em></strong>.<br><strong>5.. </strong><strong><em>The Fixed-Tangential-Planes on , </em></strong>���� <strong><em>, and , </em></strong>���� , <strong><em>nib </em></strong>are alternately Perpendicular to , B̅ , and , w̅ , central axes of rotation .<br><strong>6.. </strong><strong><em>The Kinetic Rotational </em></strong><strong><em>– </em></strong><strong><em>Energy ofmonad , </em></strong>which is the Work in monad <strong><em>, is the Scalar</em></strong><br><strong><em>quantity </em></strong><strong>, L , </strong><strong><em>The Vector Angular Momentum quantity </em></strong>is <strong>, </strong>���� <strong>, </strong>and the <strong><em>Vector Angular -</em></strong><br><strong><em>Velocity quantity </em></strong>is , ���� <strong><em>, </em></strong><em>which Three monads are related as </em>���� <strong>. </strong>���� <strong>= 2L = J . w²</strong> where J = The moment of inertia around the axis of rotation.<br><strong><em>All above happen in , </em></strong>Material-Point <strong><em>, where the Positive </em></strong>⊕ <strong><em>constituent , is Eternally selfrolling on the</em></strong><br><strong><em>Negative </em></strong>⊝ <strong><em>constituent , </em></strong>with Angular-Velocity , w <strong><em>, in Infinite Spherical traces , either at Great-circles</em></strong> [+or -] , <strong><em>or Small-circles , </em></strong>[+] where is the Clockwise Left direction , and [ - ] where is the Anti-Clockwise Right direction , <strong><em>or any other close Spherical-curve , and by Applying all laws of Mechanics into this</em></strong><br><strong><em>Energy - Chaos , is thus created the </em></strong><strong><em>→ </em></strong><strong>First–Discrete – Energy–monad </strong><strong><em>, the Material Point i.e. ,</em></strong><br><em>The Quantum ofPhysics and , ofall Energy-Space-Universe </em><strong><em>. </em></strong>Article [65] is the completion ofprior [64M]. The Energy E dissipated per cycle is equal to the Work Wd → E = h.f = h(1+ √5 ] )<br>4π . [ br&gt;span style="font-family: ;font-size:12pt;color:rgb(0,0,0);font-style:normal;font-variant:normal;"&gt; ] = 8.kζ(πr²) , and<br><strong><em>Stored in monad </em></strong>, <em>which is a Stationary Wave </em>, <strong><em>in </em></strong><strong>,</strong><strong>n</strong><strong>, </strong><strong><em>loops </em></strong><strong>as , </strong>span style="font-family: Cambria Math;font-size:8pt;color:rgb(0,0,0);font-style:normal;font-variant:normal;"&gt;��� <strong>= [ </strong>����������<br>br&gt;<strong>].</strong>span style="font-family: Cambria Math;font-size:8pt;color:rgb(0,0,0);font-style:normal;font-variant:normal;"&gt;��� <strong>= [</strong>����������<br>br&gt;<strong>].</strong>�������<strong>��� </strong>n (����√��������<br>br&gt;<br>The How Energy from Chaos Becomes Discrete - Monads and Spin<br><strong><em>Geometry </em></strong>has the Monad , <em>the discrete continuity </em><strong>AB </strong>length becoming from the <em>Zero-Point </em>≡ 0 , and<br><strong><em>Mechanics - Physics </em></strong>the Recent-Acquisition of the Material - Geometry , where Zero-point 0 =  = {⊕+⊝} = The Material-point = <em>The Quantum = </em>Positive Space and Negative Anti-Space . [58]<br><strong><em>Monad in Geometry </em></strong>→ <strong><em>Linearly </em></strong>is , through mould of Parallel Theorem [44-45] ,<em>which are the equal</em><br><em>distances between points of parallel and line </em>→ <strong><em>In Plane </em></strong>is through mould of Squaring the circle [46-47] , <em>where the two equal and perpendicular monads consist a Plane acquiring the common Plane- meter </em>,π,<br>→ <strong><em>In Space </em></strong>(volume) is through mould of the Duplication of the Cube [44-46] <em>, where any two Unequal</em><br><em>perpendicular monads acquire the common Space-meter ,</em>³√2 <em>, to be twice each other . </em><strong><em>Monad in</em></strong><br><strong><em>Mechanics </em></strong><em>and Physics </em>is → The Material-point = <em>the discrete continuity </em>|{⊕+⊝} | = <strong><em>The Quantum</em></strong> through mould of Space –Anti-space in itself , <em>which is the material dipole in inner monad Structure and</em><br><em>is Identical with the Electromagnetic cycloidal field of Energy monads .</em><br><strong><em>This is , </em></strong><strong>the Energy distance </strong><strong><em>, the deep concept of Material-geometry </em></strong><em>.</em> Energy monads presuppose Energy-Space Base (<em>the caves beyond Planck`s length ,Gravity`s and Spaces</em><br><em>levels </em>) the [PNS] Space Anti-Space as work → W = ∫ P.ds = 0 , which is the cause of Spaces existence and the motion of particles . Since are also Quantized then , this property is encountered in Stationary waves where energy , <strong>E </strong>, is proportional to angular velocity <strong>w </strong>. This property of particles , <em>Angular</em><br><em>momentum </em>= The <em>Spin </em>, becomes from the Intrinsic , <em>Inward </em>, cycloidal wave motion, which is their cause of external motion <em>as outward waves </em>.[43] The varying lever arms , on cycloid-evolute is the cause of vibrations and which cause the EM-waves and Spin . Common-circle of radius , rc , is the common source of vibration excitation for the Space , Anti – space , considered as rotating with angular velocity <strong>,w</strong>, and then their relative motion becomes the , Rolling of Space , ABC , on Anti-space AEBECE and since also this relative motion is applied on STPL [Six Triple Points Line] Mechanism , then DA , PA , points on it are the corresponding linear links of vibrations and Poles of rotation . [STPL] is a <strong><em>Geometrical Mechanism </em></strong>that produces and composite all opposite Space and Anti - space Points to Material-points → Waves ← the three Breakages { [s² = ± (w̅.r)² , [i] = 2(wr)²] of [MFMF] mechanism under v̅ = c̅ thrust } , and through it are becoming ,<br><strong><em>The Fermions </em></strong>→ <strong>[ ±</strong>����<strong>.s²] </strong>and <strong><em>The Bosons </em></strong>→ [v̅.i = [v̅.2(w̅.r)²] = <strong>[</strong>����<strong>.2s² ] </strong>, [35] It was shown [33-36] that Un-clashed Fragments through center , O , consist the Medium-Field Material-Fragment → [ ± s² ] = [MFMF] = <strong><em>The Chaos </em></strong>, as base for all motions , and Gravity as force [i] , while the clashed with the constant velocity ,c̅, consist the Dark matter [ ±.c̅.s ] and the Dark energy [c̅.i] <strong><em>,</em></strong><br><strong><em>declaring that </em></strong><strong>→ </strong>Antimatter-Galaxies and Antimatter – Asteroids can exist only as Dark-matter or and Dark-Energy and <strong>Not </strong>as Antimatter light , <strong>- c </strong>, alone , or from → Breakages<br>[ ± s² = ± (wr)²] and [ i = 2(wr)² ] , where then become Waves { <em>Distance </em>ds = |AAE| <em>is the Work embedded</em><br><em>in monads and it is what is vibrated </em>} with the Vibrating equations of motion , become , A → Particles , with Inherent Vibration , B → Gravity-Field-Energy , without Vibration C → Dark-matter-Energy constituents and as below ,<br>A.. [ ±v̅.s²] → Fermions and → [v̅.i] → Bosons ,<br>B.. [ ± s²] → [MFMF] Field ≡ <strong><em>The Energy - Chaos </em></strong>, and the binder Field is [ i ] → Gravity force , C.. [ ±c̅.s² ] → Dark matter , and the binder Gravity force [i] , [c̅.i] → The Expanding Dark energy, which both are moving with light velocity , c , causing the universe to grow.<br><em>From above in , </em>A , <em>and , </em>C, <em>case </em><em>→ </em><em>Energy as velocity , </em>v̅, <em>exists in the Discrete monads ,</em>± v̅.s² <em>and </em>± c̅.s².</p&gt;}, number={5}, journal={IJRDO - Journal of Mechanical And Civil Engineering}, author={Giorgallides, Marcos}, year={2018}, month={May}, pages={10-116} }