Quantum

It has been quite well established using mathematical jugglery that the light travels through vacuum by means of (electro-magnetic) radiation; and the properties of such radiation are such that the energy E of a wave is the product of the frequency ν of the wave and an unexplained constant ℏ named by the scientist who found it to be constant , Max Plank.

but what really is missed out is the reason why so and so physical phenomenon is constant, and why it is so! no one cared to explain what this new Plank's Constant really meant, perhaps not even the one who made the discovery. So, here we are accepting the postulate E = ℏ ν as god given, but without really understanding what it really meant.

In this paper we make an attempt to decipher the secrets of the quantum theory that were held back by the greats like Max Plank and Einstein who postulated the quantum nature of electromagnetic radiation and quantified the energy of an electromagnetic wave in the quantum nature, respectively.

Let us start with the very equation for the energy of an electromagnetic wave, E =   ℏ ν, where ν is the frequency of wave with a particular wavelength λ. what this can mean is  ℏ = E / ν - meaning ℏ can be explained as the energy possessed by a single wave (since frequency means the number of waves per second crossing the distance of a meter) . now this becomes more interesting since the ℏ is the same for red wave with a wave length of  700 nm or a blue wave with a wave length of 400 nm. this means the energy possessed or carried by a red wave is lesser than that of blue wave, which is quite well known. but the unknown is what makes/keeps the ℏ always a constant, irrespective of which wave is traveling through a given unit of space.

Let us step in to another terrain where another physical quantity, the speed of light, is quagmired by the quantum theory. Special Theory of Relativity has fixed the speed of light in vacuum at 3 X 10^8 meters/second, without providing any rationale for doing so. Here in this paper we also try to explain why the speed of light is constant in vacuum and the relation between C, the constant speed of light and ℏ the energy per wave (Plank's Constant). The speed of light is given by the formula C = (Distance/Time) = frequency  X wavelength =  λ * ν (i.e. number of waves that traveled a unit space per second multiplied by the length of each wave). Thus whatever the wavelength is, the product of wavelength and the number of waves is always constant, giving the speed of light. This means the distance traveled by the waves in 1 Second is 3 X 10^8 meters. i.e. the product of distance traveled by red waves and the number of waves per second is the same as the product of the distance traveled by the blue waves and the number of waves per second. if wavelength increases the number of waves decreases but the total distance traveled per second by the electromagnetic waves remains the same. This means the distance traveled by the electromagnetic energy [having whatever wavelength or frequency] in a unit time is always constant.

E =   ℏ ν , and  C = λ * ν, makes (E/ℏ)λ = C; where E/ℏ gives the number of waves traveled a unit space per second, multiplied by the wavelength gives the speed of light. thus we define this ℏ as the fundamental characteristic of the medium trough which the medium is traveling, i.e. space. it is the amount of energy possessed by an electromagnetic wave having any wavelength. Since the energy per wave is constant, the speed of light  of any wavelength is also constant (considering the wavelength is an unchanging characteristic of a particular electromagnetic energy radiation).  if we consider a single crest and trough of a transverse wave as a photon, then we can say that the energy possessed by a photon of any size (wavelength) is always constant, denoted by ℏ, and the speed with which a photon travels through space is also constant, but what changes is the number of photons traveling a unit space in a unit time.

with E = hν, C = λν, we can deduce Eλ = Ch; 

since h & C are constants, it implies that the product of energy of a wave and its wavelength is also constant. it implies the energy spent by the wave in traveling a distance of a full wave of any wavelength is constant.  i.e. the energy of a quantum is not constant but varies according to the wave present in the quantum. it can vary from a certain minimum to a certain maximum, exhibiting an elastic nature. i.e. the space occupied the quantum is not constant, it depends on the energy present in the quantum. if the energy is less [red light] the quantum occupies more space, if the energy is more [blue light] the quantum occupies less space. thus the space-energy continuum or inseparability is established beyond doubt. when you are talking about energy you name it photon whereas when you are talking about space you name it photon. these two are not duals but are two interdependent  physical phenomenon, which  cannot exist without each other