Temporal physics research paper
WORK IN TEMPORAL PHYSICS
Author - Aarav Khanna
INTRODUCTION
Time can be considered as a linearity of perceptional changes (events) occurring as a causality of the passage of 3-D spaces (higher dimensional cases also possible) through time. But this linearity of perception isn’t uniform, as stated in the theory of relativity, every object has its own time zone (different spatial locations - different nows).
TIME' S DIMENSIONAL ANALYSIS
Time according to the theory of relativity is 4th dimension, a resultant of the space-time manifold. But if there is a 4th-dimensional object say a hypercube it is too bound by time but that time is not of 4th dimension it may be of 5th dimension (assuming the assumption of relativity is correct about its 3d space-time manifold structure and all events of 4th dimension can be spatially understood in only 5th dimension. To understand the above statements let’s take an example
The Example- Imagine there is a sheet of paper and on it there is a stickman named Jack drawn on it. Then we take more sheets and continue to draw Jack such that the combination of sheets makes it look like Jack is jumping. Now, the sheet of paper here is a 2-dimensional plane and their cluster when stacked together continuously (perpendicularly) covers an area in 3-D space. The stickman is a 2-dimensional being that is bound by a time in the third dimension (that’s what the stickman would assume). But for us 3-dimension being the time of stickman is a linear flow of changes occurring at certain spatial locations. In other words, the changes on the page are taking place and generating a sense of perception of space for the stickman. According to us, we are not bound by a 3d time. The 3rd dimension is space, but Stickman has dimensional inferiority, so we can observe changes occurring around Stickman while being bound by time. Hence, time for Stickman may be 3-d but for us time is 4d and so on. However, this entire process of analyzing time as a dimension is not accountable for how all dimensions might be bound by time (As in the case of the hypercube being bound by 5-D time; any object existing in any dimension is subject to changes and is bound by time). Therefore, time can't be universally restricted to a single dimension. It is a combination of time at various points lying at numerous dimensions that need to be accounted for while measuring time.
The quantum entanglement between particles permits information to travel faster than the speed of light . So, we can assume at best that the quantum space works differently or that the quantum particles use higher dimensions to transmit information.
PARADOX IN TIME
Paradox in time deals with inconsistencies resulting from disturbances in time (Mostly due to time travel). This paradox will deal with Time acting as an anomaly. Where time is being and not being transcended both at the same time.
Anomaly negates anomaly spacial invariant temporal paradox
IN 2023: I make a time machine and travel to 2090
IN 2090: I see the history of the timeline to see if my reality of 2023 aligns with my reality in 2090. Now I travel to the end of perceptional time (end of changes) and manage to survive.
At THE END OF TIME: I set a program so I keep travelling 0 to end of time. Here, the End of Time refers to the stage of reality where no further changes are permitted and hence there is the absence of perception of changes (or perceptional time).
THE PROGRAM: Now in this program I travel all time planes of the same spatial location, such that time spent on each plane is 0000000...00000....00000......000...1 sec (Number of zeros is the number of existing time planes). This has allowed me to travel to different planes of all time in random order within one second while remaining in the same spatial location.
The paradox here is that I travel to all-time planes in random order while remaining at the same spatial location. So, I am directly breaking down the linearity of time; because at one time interval, I am 200 years old, then 2023 years, then 1540 years (highly approx. values). But I am still ageing one second after every execution of the program this would mean(I am bound by time) I am not exactly breaking time’s linearity but in the frame of 3rd-dimensional spatial reality, I would have different ages and non-linear ages.
|
MY Perceptional Time (the time I am bound by) |
Realities Time (Time of the region where I am existing and time travelling from at random time intervals) |
|
0 sec |
End Of Time |
|
1 Epsilon or E second |
200 BCE (say I am 200 years old; 200 + some billion years but I just say 200 for convenience) |
|
2 Epsilon or 2E seconds |
2023 AD (say I am 2023 years old; 2023 + some billion years but I just say 2023 for convenience) |
|
3 Epsilon or 3E seconds |
2020 AD (say I am 2020 years old; 2020 + some billion years but I just say 2020 for convenience) |
|
4 Epsilon or 4E seconds |
1540 AD (say I am 1540 years old; 1540 + some billion years but I just say 1540 for convenience) |
|
5 Epsilon or 5E seconds |
3020 AD (say I am 3020 years old; 3020 + some billion years but I just say 3020 for convenience) |
NOTE: Assume this measurement is taken at the second execution of the program
Hence, spatial measurements would fail to describe my time, as I am travelling through time not space. So, in this case, attaching spatial measurements with my perceptional time is incorrect (1 epsilon second is not equal to 200 billion years and so on…). So, a type of metric needs to be created to understand time without space.
Better interpretation
The paradox covers the idea of me traveling the entire time dimension within a 'time'. this would indicate that the time's existence itself can be constrained within a suitable metric quantity that can measure the time for which the time exists and time for which the time doesn't. to interpret such time. we assume the world gets frozed and there is a 'time' that bounds the time for which spacetime is frozen. Let's freeze this time structure now there is time for which space-time^2 is frozen......Ultimately we will reach an absolute bounding quantity.
PHILOSOPHY OF ABSOLUTE TIME
Using time, we can measure the time period for the existence of an object. Similarly, we can say there is also a time period in which something doesn’t exist. Hence, we can safely say that there was a time period for which space didn’t exist before the Big Bang. Going to the example of Jack, the stickman we can see that as we have arranged sheets that show Jack jumping now put an empty sheet before and after Jack jumping. Now there is a time for which Jack exists and doesn’t (Jack didn’t exist before he started jumping and after he jumped). Similarly, the 2-dimensional plane or sheet doesn’t exist beyond the last white sheet and also before the first white sheet. Though, we might say that in 3rd-dimensional space we can have more 2-dimensional planes arranged before and after the sheet but the nature of that plane is different from the sheet so it should have completely different properties than that of the page. Hence there is a time for which space or plane doesn’t exist but humans or Jack don’t exist without space, so might have difficulty imagining anything called no space. (refer to the note on no space at equation-a topic)
ABSOLUTE TIME BY DEFINITION
This type of time measures all rates and no rates of change occurring invariant to the spatial existence of an object. Currently, Modern Physicists Hypothesize that time was created after the Big Bang but there was a time for which time wasn’t there before the Big Bang. Say before big bang no Change took place so we could measure time even when no change took place. This is the absolute time that starts being measured when no rate of change is occurring; in other words, suppose the world freezes no change is occurring, and there is a time period for which no change is occurring (there is a "time" for which the world is at absolute rest), this time period can be measured by absolute time. When absolute time combines with space it forms perceptional time . this didnt (Theoretically, this conclusion is made to unify the concept of perceptional time and its definition).
Resolution of Temporal Dimensions
The time can be resolved more accurately by using the analogy given below
Suppose a one dimensional object moves 5m in 5 seconds from certain origin. Now if the time stops.(assuming time to be 2nd dimension). I can start a clock or a time axis measuring time for which time is stopped. This would be extending in 3rd dimension. Hence, as we can keep on increasing dimensions and find a time(of higher dimension governing conditions where spacetime collapses. This can be used for case of singularity.
Mathematically the resolution is a summation of all temporal dimensions and space products. Such that with each temporal blockages the extra exponent is added to the sum.
Resolution of spatial dimensions
The space and time collapses at singularity of black hole. This can be extended to a higher dimension say for a 2-d being the 2-dimensional space time bends in a 3-D dimension where the curvature produces a high gravitational force (such that escape velocity is higher than speed of light). This would be similar to black hole and ultimately for 2d being space time curvature would be in complete but it would be completed in 3rd dimension (or even higher). So, through this modification we can make geodesic of space time complete for singularities. The smaller curvatures extending to higher dimensions with escape velocity less than c then it would be just another gravitational curvature .More evidently, we can create unique methods to resolve these cases. However, the time component would always lie in the equation of temporal resolution. (To be shared).
CHANGE CAPACITY( better defined later)
This Quantity is the measurement of the amount and magnitude of maximum and minimum changes an object can achieve in a change conducting state at a discreet spatial location and time interval (these changes can be associated with energy radiated by object). In other words, change capacity is a change in geodesic extension of a quantity (any) as a function of time ; range of the maximum and minimum changes an object can do at a location in space and time; this might be a collection of discreet values of changes an object performs, so I used the word quantized. It is represented by 1⋀ (one change capacitator). Here △ represents the disturbance an object is capable of making through certain dimensions which can be also represented as a set of differential equations of all discreet values an object may attain in each dimension. Generally, if the physical quantity is not given, we may use it as a range of capacity to do work at its current state (or stage in the spiral plane depending on what measurement we have about the object). This can be used to measure variational changes like the collapsing of a star to a black hole and measurement of how much capacity to make changes an object has in a particular state of existencd at that particular instant.
[Suppose-
The measurement for discreet atoms - there are 3 atoms let's label them A,B and C . Now, the atom A and B are at a distance of 5m and B and C at a distance of 10m. A approaches atom B at velocity vector of 1m/s but it approaches C at velocity of 5m/s. So by extending the geodesic we can conclude that A will interact with C first and radiate some energy which we can predict by equations of physics.] {Note this supposition only includes only spacial changes measured under equation of change capacity and I will soon give the equation of the change capacity. Which will further enable us to predict above outcomes easily.}
Change Capacity after equation making is
The gradient function of velocity vector in product with Kb a term governing interaction between particles and energy radiated with help of quantum probability amplitudes. These changes can be regulated with definite functions
MECHANIZED TEMPORAL MACHINE – THE IDEA(this is a hypothetical machine construction idea)
The idea is to make a machine that can generate various probabilities to enable disturbances in reality and measure the epsilon level changes in an epsilonial time period. Aiming to achieve accuracy of generation and measurement of both infinitesimal and macro level changes. We can achieve this by creating a plane (a spiral plane) that can reach epsilon and infinity both at the same time. Then we need to compile these planes such that it creates a perception.
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MATHEMATICAL CONSTRUCTION
SPIRAL PLANE
We make a circle of Radius (Rc) at a point say A on the circle we draw a radial vector of length say 'R + dx' perpendicular to a point on the constant range in an upward direction. (In the diagram, x is the area covered along the circumference) The progressive point next to it produces another radial vector in the upward direction of length 'R+2 △x' this further continues till 'R+ n △x ' tends to infinity and reaches the outer limit. Similarly, at that point, A put a radial vector of length 'R' perpendicular to the constant range in a downward direction. Then again place a radial vector to a progressive point of length ' R + dx '. Then, continue it till 'R + ndx = RC – Epsilon (or the lower limit)'.
THE TEMPORAL MACHINE
After the spiral plane has been made with fixed outer and inner range. We make a cluster of planes and arrange them circularly (almost like a torus) Then at the fixed outer limit we further allow the spiral planes to extend till there is an infinitesimal circle at the centre this would be our extended outer limit. After this limit is set, we allow the spiral planes to stabilize with one another at one range and allow the formation of perception through the continuity of a certain set of changes. Further, it will allow the interaction of one quantum particle with another and later two macro-objects until every object interacts with another. The effects of interaction can be seen with the passage of perception time.
IN TEMPORAL PHYSICS
The machine is the entire space area of infinite dimensions (but as we can only interpret the machine in 3rd dimension; I have taken the machine to be 3-D). And anything outside it is in the no-space zone (outside the outer limit). This machine consists of a collection of spiral planes that enable changes and generate perceptional time through the continuous passage of information through a tensor field located between planes. The machine is majorly used to achieve absolute time’s direct implication.
ENERGY COPYING AND PERCEPTION GENERATION
The changes that occurred at a particular spiral plane are at a quantum level. These changes don’t have a very high magnitude to affect the higher-level worlds so there is a combination of these changes required to occur to form a greater change level; this would increase their change capacity(through interaction). But we need to store some changes that occurred on the previous plane in the next plane so the effect of changes can be observed. This leads to a phenomenon called energy copying; this involves the transfer of energy and changes that occurred on the previous time plane to a consecutive time plane invariant of spatial boundaries but dependent on energy interacting with the change. Such that say there is a drop that falls into the water and causes a ripple this disturbance gets spread through the entire water(space). Now as the ripple is spreading the information of changes is continuously being spread from one plane to another through quantum entanglement but in this process, the information gets varied after it travels to each plane. Suppose plane A had information on the drop falling in the water when the information reaches plane B the change occurs and creates a ripple in plane B. Now plane B sends information of 1cm radial ripple creation to C plane this plane further increases the diameter to 2cm and sends information to plane D. This entire transfer of information to different time planes creates a perceptional space where a human sees the water ripple occur. This whole perception of events is only possible due to information and energy being This quantity represents the measurement of the amount and magnitude of achievable changes in a spatial object. These changes are associated with vector quantities such as displacement and force, compared to the object's position on a spiral plane. Copied through temporal planes. But its invariance of space as the change in itself is a probability that can practically be done at any spatial location. Though it might appear to be dependent on space to exist, space itself is a sense of perception. This falls under perceptional time combined to form space-time.
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One of the solutions of Equation (equation to be told)
To find the direct implication of absolute time for an object we need it to reach no space zone.
Perceptional temporal decay- In Temporal physics this is process of increased speed of perceptional time such that its current perceptional time is equal to its non-decay state's epsilon second.
Now, if we make an object’s perceptional time tend to zero (Perceptional temporal decay), its ability to make changes would increase as it would make a greater number of changes in an infinitesimal time period; if compared to its previous change capacity at one-second time-perception (simply, my one second would be equal to my non-temporal perceptional decay self's epsilon second).For example, if I can write a word in one second, then my perceptional time decays partially such that my current 1 second is equal to my 5 seconds. Then, in the same spatial location, I would be able to write 5 words in the original time of 1 second.For example.an object approaching singularity.
In other words, in a temporal plane, the object’s change capacity would increase to a level where it could do all changes permitted in a single plane due to its perceptional time decay.
Note: The equation I have written below needs to be updated. It is only valid if an object approaches singularity.
Spatial decay- it is a process in which the spatial existence of an object gets reduced due to the extreme effects of entropy, as a function of time. this also leads to an increase in change capacity to infinity
When the object would enact the highest change permitted in the machine the object would reach the outer limit and escape into no space zone where its spatial area would cease to exist, and it would have a singular time. Moreover, the change capacity of the object would tend to infinity. Since change capacity is accountable for every single point of the object the product of change capacity and area of the object would collectively tend to infinity with the help of the k function which would make the product of change capacity and area of spatial existence reach infinity at the same speed the temporal time decays to epsilon. Hence, we can write the equation of absolute time as
Absolute Time = lim Tp->0 x Tp x spatial existence of the object x change capacity of the object x k function
Note: By no space zone I mean the time where space doesn’t exist or the zone where 3-dimensional space-time manifold laws fail i.e. the space where quantum particles interact.
Ultimately, the equation solves the conceptual conflict between relative and quantum mechanics’ time and links them both.
The K function- This is modified Dirac's big spike interpretation such that the integration of all values k can obtain is 2. At perceptional time tending to epsilon its value is infinite.
THE GENERAL SOLUTION OF THE EQUATION
The absolute time is 1 as in general no space zone and no spatial measurement exists. Hence, time is uniform for all objects under the direct implication of absolute time. For special cases, the object exists under superpositions of a single area. (cases like quantum spaces). Hence, time is treated as absolute in quantum mechanics.
[Note : the relation of absolute time in a black hole may be 1 in the later equation defining absolute time the absolute time could be 1 or maybe a constant. 1 here is a simplified metric]
The proof of theory in relativistic space and black hole to be provided.
For further references refer to my blog -(this blog content was published when I initially. Started researching and requires updates) Work in Temporal Physics (temporalphysics1.blogspot.com)
The above case of increase of change capacity and reduction of perceptional time .Leads to inverse proportionality between them. To be shown soon.
CHANGE CAPACITY (Mathematical Analysis)
The change capacity of any system can mathematically expressed as a product of summation of vector gradients of each particle in a system , probability of reaction occurring ( according to collision theory ) and energy released on direct reaction subtracted from energy lost on covering distance to collide with particle. Here the vector gradients is done to geodesically predict possibility of reaction. The probability of reaction gives the overall thermodynamics state of the system.
Now here I measure changes of a system with respect to space-time curvature. So the base derivative here is space time curvature's metric tensor
[Note: for special case of black hole the equation for change capacity is a constant term which tends to zero. Such that the solution of equation (mentioned previously) gives absolute time as one.Though the method of obtaining it is improved greatly by the equation I will share.]
Perceptional time is mathematically defined as rate time experienced by a system or the time experienced by a system in a state divided by time naught i.e. rate of the time in system's base state.
PERCEPTIONAL TIME IS INVERSELY PROPORTIONAL TO CHANGE CAPACITY-
This can be understood by concept of paradox I mentioned above .
When I was in a state where my 1second was equal to realities entire timeline I had reduced change capacity and on dilating time to reality's one second will increase my change capacity to normal human energy interaction.
Table to be inserted here
Hence we can conclude perceptional time is inversely proportional to change capacity
Equalization
An equilized time is required to compare all changes and change capacities. For that we would require a metric to display each point / object in space time with a conversion factor. Till now I think guv metric tensor would be sufficient to provide conversion factor.
Now , after all change capacities are equilized they can be compared with respect to a space time which is turned into a flat one through metric. With this the expansion of space can be locally calculated. Now for the entire expansion would simply be a summation of all change capacities . To prove the reality occuration of energy consumption we can describe numerous formulation of energy to make a general equation. This serves as a generic solution for the equation where expansion of space varies by local dissipation. This further may allow us to predict the nature of expansion of space (also helping us to determine if cosmological constant is positive or negative or...) . This is soon to be provided with calculations.
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