Build in Mathematical pattern in Nature Event , a combination of analogue & digital variable along with cause & effect in pair
Analogue change means a process where a particular parameter changes continuously as a function of time, but when a parameter involves a step change in time or changes from one state to another state in zero time then it can be described as digital change. Most probably most of the events or all the events in nature involves either an analogue change or a digital change or a combination of both along with a chain of cause & effect. For example one drinking water tank located on the roof of a residential building is periodically filled up at regular interval of time by a water pump located on ground level. The electrical water pump is operated by two level switches in its circuit passing through tank on ground & the tank on roof. This will results a situation for water pump in such a way that it will pump water for certain time periodically & will not pump water for certain time period. During the operation of pump the height of water level will continuously increase with time which may be described as analogue change. When the pump stops, the flow will come to zero in zero time or in no time means a step/sudden change in the process or a digital change involves there. This is an example of an event which involves a combination of analogue & digital change in pair. Also here the analogue change is the cause & digital change is the effect or a chain of cause & effect in pair exist there.
In the above example if the values of height of water level at different time interval is plotted in graph it will be a linear straight line having a constant slope which can be described by a linear equation( h = kt), where ”h” is the height of water level & it is a variable,” t” is another variable for time . Here k is a constant depending on boundary conditions like area of the tank, capacity of pump etc . These are not function of time so the event may be represented as an example of presence of Constant & variable in pair or together.
Event that involves leaner & non linear change in pair
If a projectile is launched at angle “∅” with horizon (Less than 90⁰) on Earth surface it will follow a parabolic path which results from continuous transformation(analogue process) of kinetic energy to potential energy & vice versa. This is an event which involves , linear & non linear change together. If the value of vertical component of velocity (V₀Sin∅) is plotted at regular interval of time in a graph paper a straight line will appear according to the equation (V = V₀Sin∅ – gt ) which involves a linear change. But if the value of vertical component of distance is plotted at regular interval of time in the graph paper a curve will appear (not a straight line) according to the equation ( y = V₀Sin ∅t – ½ gt²), which involves non linear change. The initial vertical component of velocity & kinetic energy of projectile will start to decrease continuously (Analogue process) until it reaches zero value at maximum height which will result a change of direction of motion towards ground accompanied with a continuous increment of velocity & kinetic energy simultaneously. After certain time period it will attain maximum velocity & kinetic energy at ground level. Throughout the flight horizontal component of velocity (V₀ Cos∅) will remain constant. After striking ground all the kinetic energy stored in horizontal & vertical component of velocity will have a sudden transformation (a step/digital change) to heat energy , sound energy etc .
Example of analogue/digital component in Human life
Any human being may face diabetic / heart disease at old age which is result of continuous food habit, physical activities etc in his passed life. He does not face it suddenly but it appears slowly in time which is an example of analogue process. But a diseases may appear suddenly by the intervention of virus/bacteria in human body which involves a sudden/step change in health.
A man get such a salary at regular interval of time so that he has constant saving which results continuous increase of his bank balance & this may be an example of analogue process. But if he wins a lottery or gain money by selling a property, there will be a sudden increase of his bank balance, which involves a step/digital change of his financial condition.
Nature of periodic events
Event which is repeating uniformly after regular interval continuously is called a periodic event. Example of periodic events are motion of electron in the orbit of atom, motion of planet in the orbit of Solar System & motion of a heavy metallic ball in semi circular path of a pendulum in ordinary life. In case of pendulum the heavy metallic ball attain zero velocity at the two extreme end of oscillation or at maximum oscillation angle or at maximum displacement from vertical axis of oscillation located at centre. The metallic ball attain maximum velocity when the angle of oscillation is zero on the axis at centre and it repeat cycle continuously. The velocity can be represented by a vector” V1” which has got magnitude & direction both & displacement from axis by another vector “V2” having phase angle 90⁰ in between them to describe the relation between two vectors. Vector representation of variables is very useful when at least two parameters are uniformly changing periodically or repeat the cycle. In the same way velocity of electron & planet in their orbit & their distance from the centre of elliptic orbit can be represented by two different vectors having suitable phase angle in between them depending on the boundary conditions. But in case of projectile, variables like Potential energy, Kinetic energy etc are represented by scalar variables (which has got magnitude only & no direction) as the variation of parameters are linear or non linear & the variables are not periodic in nature or there is no repetition of cycle.
Simultaneous presence of Constant & Variable are essential for the existence of all creatures
Human body consist of hundred trillion cells & each cell consist of hundred trillion atoms. Atom consist of elementary particle like electron (one of the basic building block unit of nature or all creatures), composite particles like proton (combination of two up quark & one down quark), neutron (combination of one up quark & two down quark). The charge of electron is constant, but the velocity & distance from centre of its orbit is variable in an atom . If the constant parameter like charge is allowed to change by force (which is not possible) or variable parameters like distance , velocity etc are kept constant then either the structure of atom will collapse or it will disintegrate. Same concept is applicable to the mass of a planet which is constant & its Velocity, distance etc are Variable in the Solar System. Most of the creatures in nature has been formed by micro particle like atom which has got a suitable definite structure & the Human being can comfortably survive only in a medium size planet like Earth, which is located in a structure like multiple planet Solar System having a medium size Star like Sun at its centre , but not in an isolated System. Also Sun together with Earth & all the other planets is a member of another suitable structure known as Galaxy having a Super Massive Black Hole at the centre along with billions of Stars in their orbits & is governed by almost same laws those are displayed in atom. So the simultaneous existence of constant & variable in pair are essential for holding structure otherwise all the creatures will disappear.
Existence of constant & variable in Human life
The presence of constant/variable is also noticed In the structure of family/Social life of Human being. The parent, children are unchangeable or constant means no choice or no alternate option is available there. Spouse is changeable but it is undesirable as this may cause complete destruction of family structure.. Friends, residence, employment etc, are changeable or variable.
There are uncountable number of mathematical pattern or characteristic or components that has been displayed in nature , in the existence as a whole & in Holy Scripture also . All the events in nature or universe can be connected by very long chain of cause & effect which ends at GOD.
The most common & ordinary mathematical component which has been noticed in nature is pair . Examples of pairs are analogue/digital, Linear/non linear, periodic/non periodic, vector/scalar, constant/variable, cause/effect, up quark/down quark, attraction/repulsion, profit/loss, suffering/enjoyment, reward/punishment, , male/ female, visible/invisible. etc are also uncountable.
Holy Quran about pair
Sura Easin 36/36 Glory to ALLAH, Who created in pair (Arabic-Ajwaja) all things that the Earth produces, as well as their own (Human) and other things of which they have no knowledge (Arabic-La Ealamun).
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