A Dialogue on Fifth Dimension, Empty-Space

: Gravity and space-time are relative to each other because gravity or more precisely a gravitational wave is the only candidate responsible for empty-space around a mass and empty-space is the only candidate responsible for the mass of an object. It is true that a gravitational wave is a ripple in space-time but space-time is a result of a web of gravitational waves is also true and hence it is more appropriate to call space-time as gravitational-space-time and its known word to us is empty-space. Smallest unit of this web of gravitational waves is known as kaushal constant (K) [1]. Gravity is a result of the force of attraction in between two adjacent kaushal constants of the adjacent planes at a relative point in gravitational-space-time and hence this can be nicknamed as a web of gravity. The slower you move through space, the smaller your gravity web (or weaker the relative gravity) and hence the faster you move through time and vice versa. This paper is a solution to both mathematical and theoretical problems encountered in the field of quantum gravity [2] using theory of special connectivity [3].


Introduction
Theory of special connectivity [3] states that every mass from atom to black hole is a web of gravitational waves whose smallest unit is kaushal constant. This web starts from the centre of gravity of an object and ends up as a reason for the gravity of that object. Kaushal constant [3] or K is defined as: Where m is mass, G is gravitational constant, h is plank's constant, g is acceleration due to gravity, a is radius, t is time and Q is heat. Kaushal constant is known as angular momentum.

Special Connectivity using Quantum Physics
This theory is a unified theory based on gravitational waves, let us first define what a gravitational wave is: According to general relativity [4], the bend of a light ray is defined by the formula: Where G is gravitational constant, m is the mass of the object, c 2 is the speed of gravitational waves in gravitational-space-time and a is the radius of the object. Also, angle of consciousness derived on the basis of a thought experiment [5] based of a fact that our consciousness has a power to bend a gravitational wave by a certain angle is given by the formula: Where x is the ratio of the refractive index of two imaginary media given by: = 2 1 n2 is the refractive index of the denser medium and n1 is the refractive index of the less dense medium. According to postulate 3 light is a particle and travels with the help of gravitational waves, hence on equating equation 4 and 5, we get: 2 sin (sin ) − 4 sin(cos ) = 0 (6) Equation 6 can be seen as a wave function , defined as: ; h is Plank's constant, t is time.
In special connectivity, Kinetic energy and Potential energy [3] is given by the formula: Where K is kaushal constant, m is mass and a is the radius. Hence, Hamiltonian becomes zero, thus equation 10 is reduced to: also holds true when m is equal to infinity According to equation 7, speed of gravitational waves traveling in mass is c and in gravitational-space-time is c 2 [1].

Uncertainty Principle
In special connectivity, uncertainty [19] occurs in between space and empty space since momentum is a property of empty space and is defined as: Where K is kaushal constant, a is radius, x denotes position and ℏ is reduced plank's constant. Now let us explore other areas of physics including EM waves, Electrodynamics and classical physics including Newtonian mechanics before moving onto relativity theory.

Special Connectivity using Electromagnetic Waves
Electromagnetic waves are special type of gravitational waves. Let us apply formulas form special connectivity on electromagnetic wave equations.

Electric Field
Charge is defined in terms of kaushal constant as: Where K is kaushal constant and R is the resistance.
Electric field can be defined using coulomb's law [7]: Where r is the distance in between two charges. Also, using equation 2, √ can be defined as: Using 20 and 21 in 19, we get: = 0, meaning kaushal constant (K) is 0 using equation 2 and infinite using equation 1 at the same time. Also, equation 19 holds true when special connectivity is applied.

Magnetic Field
Magnetic field using special connectivity is given by: Where current, I, is defined as: Equation of motion in magnetic field [9] is given by the equation: Hence: Also, Using equation 25 and 26 in 24, we get: is one of the equations of consciousness which can only be applied according to the reasonable will of a conscious mind and also proves that magnetic field is the reason responsible for the statement that white light is a combination of seven colours. [20] is given by: = ( + × ) (28) Where F is the force, q is charge, E is electric field, v is velocity and B is magnetic field. In special connectivity:

Special Connectivity using Electrodynamics Equation of motion in electrodynamics
Using above equations of special connectivity in 28 while considering angle to be 0 degree, we get: Equation 31 is the reason why sine and cosine have a range of ±1.

Special Connectivity using Classical Physics
Let us first see Hamiltonian and Lagrangian mechanics:

Hamiltonian and Lagrangian
Since Hamiltonian in special connectivity is zero and hence equation of motion in LaGrange Mechanics [12] is defined as: Lagrangian is defined as, = Since this equation denotes various instances of a same object and hence let the web of kaushal constant at speed u be K1, at speed v be K2 and during acceleration and distance travel be K0 Using velocity and acceleration along with equation 2, we get:

2.
= + (42) Taking same assumption as above we get: Taking same assumptions as above we get: On solving equations 41, 43 and 45, we get the following results: • 1 = 2 = 0 ; It implies that these are different stages of a same web of gravitational waves or mass. • 7 = 0 ; It is an equation of consciousness and was defined in earlier parts of this paper. • 5 = 0 ; It is also an equation of consciousness and implies that every living and nonliving in this universe is composed of only 5 elements. {Air, Water, Fire, Dust & Empty-Space} Equation of consciousness can only be used according to the reasonable will of a conscious mind.

Laws of Motion
Postulate one of special connectivity is a different viewpoint of the first law of motion [14] i.e. law of inertia. So, let us see second law of motion: = (46) Acceleration in special connectivity is given by the equation: This is an important result which states that every action has an opposite reaction but it may or may not be equal.

Special Connectivity using Special Relativity
Special relativity is composed of two parts, time dilation and length contraction [15]. Special connectivity introduces a new frame of reference in which each mass is identified by a web of gravitational waves. Let us see time dilation and length contraction one by one:

Length Contraction
It is defined by the formula:

Time Dilation
Time dilation is defined by the formula: In special connectivity, time is defined as:

Special Connectivity using General Relativity
Gravity can also be seen as a field phenomenon [4]. Line element in special connectivity is given by: A point in space can be described by the coordinates (x, y, z, t, K), where K denotes empty space. Equation 56 can be written using tensor [16] as: 2 = ( 1 ) 2 + ( 2 ) 2 + ( 3 ) 2 − ( 4 . 5 ) (57) Also, as: 2 = (u, v = 1, 2, 3, 4, 5) Where is a fundamental tensor and , is are covariant vectors. It is different for a medium and vacuum and is defined as: Hence, we can see that is symmetric and for vacuum can also be written as: According to Newtonian theory of gravitation [17]: (59) Where Φ is gravitational potential, ρ is the density of matter and G is gravitational constant. Equation 59 is generalised into tensor form and is given by Where is ricci tensor, = , is the fundamental tensor and is the materialenergy tensor. We have seen two type of fundamental tensor in special connectivity. Now let us examine ricci and material-energy tensor.
Ricci tensor is defined as: Where u, v = 1, 2, 3, 4, 5 On solving, ricci tensor in special connectivity is defined by the coefficients: Let us now find the material-energy tensor in terms of special connectivity: Where is coordinate density of the matter, p is momentum, a is radius, K is kaushal constant and E is energy. Hence, considering u, v, w as the components of velocity, is defined as: Where a is the radius and K is kaushal constant.

Tests of General Relativity Explained
There are three crucial tests of general relativity [18], namely: 1. The advance of the perihelion of the planet which is rightly explained as c 2 is the speed of gravitational waves in gravitational-wave-time. 2. Light is a particle and travels with the help of gravitational waves. Our consciousness has a power to bend a gravitational wave by a certain angle called as angle of consciousness [5]. Bend of 1.76 sec is a result of 36 different consciousness acting together. 3. Gravitational shifts are only possible because in gravitational-space-time, speed of gravitational waves is faster than that of light. This is the reason the frequency of light decreases as it leaves the gravitational field and when it is received in gravitation free space or vice versa.

Universe in Special Connectivity
Theory of special connectivity predicts hyperbolic universe. Line element in special connectivity is given by: It can be written as: 2 = 2 − 2 , which is an equation of hyperbola [22]. Hence, every galaxy must have its inverted parallel replica about its supermassive black hole hidden in our plane sight and universe is a sphere (not so perfect!) with its spherical inverted parallel replica making it an equation of hyperbola and hence there must be an ultra-massive black hole at the centre of the universe. Thus, there are only 3 advanced civilizations with us in this universe and of course universe is finite.

Natural Frequency of Vibration
According to special connectivity, capacitance [23] is given by the formula:

Motion of Test Particle in Gravitational Field
Motion of test particle in gravitational field [4] corresponding to the line element described by equation 56 can be given by the formula: Where u, v, = 1, 2, 3, 4, 5

Conclusion
Empty space is the fifth dimension which is the basis of all other four known dimensions. Kaushal constant is the smallest unit of empty space and can only be seen relatively. Theory of special connectivity is a unified theory and can be applied to all the existing and forthcoming realms of science and technology. According to it, mass is a pure web of energy or consciousness and gravity is a pure web of energy created by the mass. Time can also be seen as a decreasing perspective if we accept the fact that death comes before birth. We all are a result of a same fabric of empty space and this is the only reason why no fringe shift was observed in Michelson and Morley's Experiment [21]. Last but not the least, gravitational wave is the only source of energy, frequency and vibration in the universe and every wave we know as of today is a special type of gravitational wave including gravitational waves itself because we have measured gravitational waves traveling in mass and not in gravitational-space-time.

Data Availability
The data that support the findings of this study are openly available in [Open Access], reference number [1,5,10,11,23]. The data that support the findings of this study are available in [Scholars' Press, Book Publisher (ISBN: 978-6202314763)], reference number [3].