The Holographic principle expresses all of nature as sets of information (R. Bousso, "The Holographic Principle," Rev.Mod.Phys.74:825-874 (2002). e-Print: hep-th/0203101.) Based on this principle we can express Distance as the spread or how far away from an initial position the information content of an object is in the line of motion and Time is the increase of entropy or we can say that it is the changes or evolution the information content goes through since only then does the notion become an idea through experience in our mind (Empiricism).
The fabric of space time can be thought of as a trampoline which is made up of elastic material like rubber we often use this to explain the view of general relativity. Assume that the rubber used in our trampoline is ruff and if magnified would consist of a landscape with occlusions or blockage's three dimensional in nature. If the fabric is stretched enough it would become smooth thus eliminating the occlusions present at previous. The stretched trampoline can accurately be described using a 2D model since it is now flat, thus the extra 3rd dimension has flattened due to this action of stretching, this is a good instance to conceive the idea of dimensional flattening which will not be speculated in this article but can be argued to be validated since if mass of an object can bend space it can also be stretched and deformed, after which subsequently bending can take place under practical circumstances. If space-time is a closed system a compression or decompression has to take place somewhere along the line of reasoning. Therefore stretching is the initial and bending is the final effect of mass on space.
String theory initially proposed by Michael Green and modified by Ed Witten states that space and time comprises of more than Einstein's 4 dimensions which are known as extra or hidden dimensions, hidden due to them being microscopic or curled up in a small space but quantum particles such as protons neutrons and electrons are affected by their presence.
From general relativity we can also strain out the increase of mass by velocity near light speed, which explains why any object cannot exceed the speed of light since whilst doing so their masses increase exponentially causing an inertia never letting them do so which I modify under normal circumstances of space since LHT experiments did contradict this fact.
What if the increased mass near the speed of light of a neutron particle is insufficient to bend space but is enough only to stretch it thus removing a couple of extra dimensions from the picture appealing a special case in space-time.
From the holographic principle we know that the underlying substance of any given celestial body is information and is also true for a neutron or any other quantum or elementary particle. The information content describing a neutron in space is small enough to fit into curled up extra dimensions thus relating to quantum weirdness or why they are in contrast to common sense (The famous double slit experiment). This creates an image of space as the medium of information.
Considering the artificial scenario of a neutron accelerated to the speed of light, applying the above idioms we have to consider the probability of the neutron having to describe itself in less special dimension than it does in nature due to the elimination of extra dimensions by the flattening of the fabric of space due to the mass of the accelerated neutron which shall be referred to as energy for convenience. For this neutron when a measurement of distance is taken the spread or expansion of the particle along the line of motion should also be taken into consideration since it significantly reduces the actual displacement. This is only true if the human mind our most powerful tool to read and interpret nature perceives the neutron and space in the same way under special and normal scenarios regardless of slight deformations or change of shape (an optical illusion if I may). In conclusion we can state that at any point the distance travelled by the particle is not only the actual numerical distance travelled but also the addition of the spread of information along the line of motion.
Velocity is proportional to distance since the above case requires an increase of distance the velocity of the particle also increases along with the decreasing inversely promotional time. Special relativity states that objects near the speed of light undergo time dilation, but for an outside observer in a different frame of reference the effect of this is not visible. It is arguably feasible to state that the stretching and spread of information resulting by the above case is invisible for the outside observer, In this case the only observable or measurable effect of the particle is its velocity as a whole, thus it is possible for it to apparently go beyond the speed of light since the spread of information ads up to the actual distance reducing the time taken to travel from one point to the other, boosting the velocity beyond restricted values such as the speed of light.
