A SOLUTION TO THE “HUBBLE TENSION” PROBLEM

RICHARD QUIST



(copyright 2026)

Dedicated to my friend and confessor Father Edward John, whose friendship over the years gave me invaluable support during a very difficult journey.

The “Hubble tension” is a discrepancy in the measurement of the rate of expansion of the space of the universe when measured in different ways. This discrepancy cannot be explained by standard physics. I propose that a new approach is needed. This new approach is based upon the concept of time contraction. Time contraction is the opposite of special relativity’s time dilation, and is manifested in nature as “dark energy”. With time contraction time moves at faster rates than normal time, mass is reduced, and length expands. This condition is not caused by velocities, as is the time dilation of special relativity, but instead, it is caused by reductions in mass brought about by variations in rates in expansion-contraction factors that define spacetime and mass-energy, according to my novel approach to the problem, as described in my paper EX-CON PHYSICS (www.richardquist.com)

Dark energy accelerates the rate at which time passes and effectively “inflates” C, the velocity of light. This inflated C then enables photons to move through space at faster rates without violating the restrictions that normally apply to C, since time contraction increases the rate that time passes. The fact that more time passes in a contracted time frame relative to a normal time frame results in a reduction in the time component, t, in equations that are applied to entities in motion through space that's in a time contracted condition. With time accelerated space, energy and particles are able to shift positions in space faster than in normal space. This is exactly what is happening in regards to the accelerating expansion of the Universe that is detected today. According the Ex-Con approach this started when dark matter began converting to dark energy about 6 billion years ago. This caused a gradual acceleration in the rate at which time passes for the space of the Universe, resulting in a gradual increase in Hubbles constant to what it is now measured, 73 km/s/mega parsec. The reasons for this change is intrinsic to the structure of the universe when described with this approach.

A basic principle of expansion-contraction approach is that the expanding nature of the universe is not caused just by an expansion of the space of the universe, but also by a continual contracting of the size of Planck’s length, thus a contraction in the velocity of light with the passing of time. With this approach, one can say that the Planck’s length and the Universe began at a size on the order of about 10^30 larger than today’s Planck’s length, approximately 4.5 x10^-5 m. Time started when Planck’s length began to contract, first according to the equation C =Ci/t, with t being the amount of time since the beginning of time, C being the velocity of light at point (t) in time and Ci being the original velocity of light, approximately 4.5x10-5m. After the intense inflation event that occurred soon after the beginning of the universe, contraction rates changed, reflecting the equation C =[Ci/(t^1/2)], which now governs contraction.

To describe the relationship between the contraction of space and the movement of photons through space it is best first to describe the velocity of light in terms of our present understanding of the expansion of the universe. We can say that when D=Ct, where D is the radius of the universe, C is the speed of light, and (t) equals the amount of time since the beginning of the universe, from any particular point in the universe, when we look in any direction toward the periphery of the universe, there will be a point in space where that space will be measured to be moving from our original point, at a velocity of C, the exact same speed that a photon separates from a matter source located at the original point in space. We can say when the photon is aimed in the direction of that spot at the periphery of the universe, the photon and the point in space near the periphery of the universe are motionless relative to each other, since they are both moving away from the same original propagation point at C. If we now say that the universe stops expanding, then the photon can be said to be moving toward that peripheral point at C. Also, the distance between the photon and the periphery of the universe can now be considered to be contracting toward that static peripheral point, at a rate of C. We can now say that the size of space and the velocity of light contract with time such that even though the universe is no longer actually expanding at C, it will appear to expand at C because of the contraction of space, and of C. (I’ll note here that even though in this example the past is larger than the present, the representations of the past that exist in the present are also contracting, and at the same rate as the present frame, so that whenever in time something exists, the present representation of that past existence will also have contracted to the same relative size as the reality of the present. This is why we don’t perceive obvious evidence of a larger past, and why the relativity principal of a constant velocity for light in all frames holds. Anything that represents a past reality continues to contract along wth the normal frame.) With this view it can be said that photons moving at a velocity of C anywhere in the universe can be said to be contracting toward the periphery of the universe in the direction of motion at a velocity of C. Since space contracts, we can say that under these conditions it can be said that photons follow space as it contracts toward the outer reaches of the Universe.

We can now create a hybrid version, comprised of the two examples given. With this hybrid version the universe actually expands at a rate of (t^1/2)C, while the velocity of light and space contract toward the periphery of the universe at a rate of Ci/ (t^1/2)C. The result is a universe that appears to expand at a rate of C but is actually expanding at a rate of only C/(t^1/2). This, coupled with a contraction factor for space and C of (Ci/t^1/2), makes it appear that space is expanding at a rate of C.

To define matters position in space relative to free photons we simply add another contraction action that contracts photons positions away from the periphery of the universe and back toward the mass source position. Here we are adding another distinct contraction factor, not simply cancelling the expansions and contract that are all ready occurring. Photons always act like photons as they follow their expansion-contraction path, whether free or part of a matter structure that contains the photons. In a matter state photons simply alter directions of motion over a particular time and distance defined by boundary conditions. The sizes of the volume in which the main activity of the photons occurs are defined by natural boundaries that have radii on the order of 4.5x10^-5m and less, each with different sized but exponentially related boundaries defining “realms of action”. We can see these realms of action under the size of approximately 4.5x10^-5m will be dominated by quantum interactions. With the time contraction concept, the Ex-Con approach can be used as a basis for a non-probabilistic quantum theory, as time contracted particles leap from position to position, with time contracted pilot particles telling the particle where to contract toward next.

According to the ex-con approach, the universe began when a large contracting vacuum collided with an expanding primordial substance, at a size of around 4.5 x ^-5m. (EX-CON PHYSICS copyrighted 2022). Space began to contract according to the equation C=C’/t, where C’= the velocity of light at the beginning of time. The great Inflation began at about 3 x 10^-36 secs after the beginning of time, and finished at about 2x10^-29 sec. Inflation was caused by a massive conversion of dark matter to dark energy, producing a time contraction that expanded the universe by a factor of approximately 10^30 from a size of about 4.5x10^-5m to almost its present size. Remember though, Planck’s length at this time would measure at about (10^30)(1.61x10^-35)m/3.33x10^7. Consequently at that time, the Universe, while now having an actual size close to today’s size, would be measured at that time as approximately 1x10^3m in size.

Here is an equation that defines the base radius of the Universe at any point in time after the great inflation event that occurred at about 3 x 10^-36 secs after the beginning of time, and lasted until about 2x10^-29 sec after the beginning.

Ur=((t+1)^1/2)Urp/(Tp^1/2), where t = the amount of times since the beginning of time and Tp equals the present age of the Universe, and Urp is the present size of the universe.

The extreme inflation’s rapid expansion needs to be averaged into what would be defined as the normal expansion, defined by the equation Ur=ct. This increases the Hubble Constant from 67 km/sec/mega parsec to 70 km/sec/mega parsec.

Extracting the concept of time contraction from special relativity is possible when one accepts that the spatial growth of the space of the universe has two distinct components one expands the overall size of the universe, while the other contracts the internal size of space, as measured in terms of the speed of light. Consequently, when we say that the radius of the universe is expanding according to the equation Ud=C(t), where Ud equals the size of the universe at time (t), we can also say that this is equivalent to: Ud =C(t^1/2)(1/1/t^/2).

We can now say that the size of the universe does not simply expand with time, but instead, expands, while the size of space, and C, also contracts, resulting in a net increase in the apparent size of the Universe of C. I say apparent because in some cases time contraction can substitute for distance. It can describe greater rates of velocity without changing the distance parameter.

Einstein’s Special Theory of Relativity revealed the relative nature of motion. Essentially, it says that when two matter objects are in motion relative to each other, and when an observer that is motionless relative to one of those objects measures the other object’s time component, it will be reduced relative to their own, this because of time dilation, which is a relative expansion in the duration of a unit of time for matter in motion as measured by a stationary observer. Experiments confirm this. The concept that I have introduced, time contraction, on the other hand, produces a reduction in the duration of a unit of time, and it reveals itself in quantum phenomena and dark matter and energy. Time contraction enables dark matter and energy to convert between energy and matter states without detection or direct interaction with normal matter and energy. It also enables particles to choose its future position, the position toward which it contracts. This contraction not only reveals its position chosen by the time contracted (accelerated) element of a mass particle but it also defines the energy and momentum that is be measured at that time.

In my view, Special Relativity’s length contraction proves the concept that the velocity of light contracts with time. A deep dive into Special Relativity reveals that a time dilation of C effectively decreases the capacity of a light photon to move through space, by a factor 1/u^2, where u is the time dilation factor. Part of this reduction is caused by a reduction in the time component by a factor of (1/u). However, with a close look we can see that length contraction not only contracts length, this producing shorter distances for photons to travel through in space, this necessary in order to maintain time synchronization with the normal non-dilated frame, but also, in this case, it also is the other for the contraction of the velocity of light. This is the actual reason the velocity of light becomes contracted by a factor of 1/u^2, rather than just 1/u.

Consequently, length contraction is not just a contraction in length, It represents the contraction of the velocity of light, demonstrating the truth that the velocity of light does contract with the passage of time, and for this reason. Time dilation slows time, by a factor of u, though ultimately, time dilations produces a velocity of light that is effectively reduced by a factor of 1/u^2 relative to a normal frame. Length contraction, actually partly compensates for the loss of velocity, which it partly caused. Length and velocity of light contraction occur according to the contraction hypothesis because length and velocity are greater in the past, so a time dilated condition produces increases in rates of contraction for affected objects, bringing about a length contraction and a velocity reduction when observed from the context and perspective of a smaller normal frame’s time condition. This contraction of space also results in increased energy density, as indicted by the elevated energy needs for mass in motion. This reflects an increases in the rates of expansion and contraction for mass in motion, which this due to the time dilation. Mass becomes more “anchored” to space-time the more its state is dilated.

Since time contraction is the inverse of time dilation, it says that time contracted conditions mean that Ea=(M/a)[(C^2)(a)(a), this equal to Ma(C^2), where Ea equal dark energy and Ma equals dark mass. This is because time contraction, by accelerating time, effectively increases velocity by a factor of (a)^2, mass is reduced by a factor of (a), and length is expanded by a factor of a. Of course, centrally different between time dilation and time contraction is that, as time dilation increases mass increases, while with time contraction mass decreases as time contraction increases, this providing for a system of motion with perfect equilibrium. This characteristic makes it a perfect system as a basis for a non-probabilistic quantum theory because it can predict where particles will be, without observer interference.

Equations relevant to the “Hubble Tension” problem can be solved in a unique way, as shown earlier, since we now have a source of dark energy it converts from dark matter. To show this more clearly, assume that the universe expands at a rate of D=Ct. Time contraction of space effectively inflates the rate at which objects and photons move through space by inflating the size of space and of C, as defined by the size of C relative to the overall size of the universe. This reduces the amount of time necessary to cross a given distance of space, by a factor of (a), where (a) is the time acceleration factor. When we reduce the time component for objects moving through time contracted space by a factor of (a), we reveal that time contraction has effectively increased an objects ability to move through space faster, by a factor of (a).

As mentioned earlier, six billion years or so ago space began increasing its rate of expansion. According to the Ex-Con hypothesis this occurs because space reaches a size limit, a limit defined by the initial mega burst of inflation early in the universe. Reaching this limit produces a time contraction, caused by the imbalance in the expansion-contraction ratio that results from the restriction on expansion, this according to the time contraction principle that EX/CON =1 (Ex-Con Physics). When space can’t expand as necessary there will be a compensating increase in the rate of contraction of the size of internal space as measured by the speed of light relative to the overall size of the universe. Space can still expand at a constant rate by going through a series of mini expansion-contraction cycles. This way the universe inflates in small increments instead of a mega inflation like at the beginning.

The beauty of using time contraction to describe the increase in the rate of the expansion of the space is that it can enable us to describe a situation where a constant size for the Universe is maintained, even while there remains variations in the rate of expansion in the size of the space within the Universe. Growing the amount of measured space within the universe without increasing the actual size of the universe can be achieved by simply adding a super overall contraction which slides the new space back into the old pre-existing space. This creates two layers of space in the same space that don’t interact as you would expect because, according to the contraction hypothesis, the size of space is contracting with time, so each level of space, which we can referred to as “quantum levels”, have a different “range of sizes” relative to other levels. This “stacking “ of space not only allows us to define an infinite number of quantum levels of space, it explains dark matter as a form of dark energy. Dark matter is stacked dark energy, forming a counter weight “halo” around large gravitational bodies. The largest filaments in the universe are actually these initial halos that have broken into pieces, producing large strands of space anchored by elevated levels of dark matter.

Appendix

Einstein’s Special Theory of Relativity revealed the relative nature of motion. Essentially, it says that when two matter objects are in motion relative to each other, and when an observer that is motionless relative to one of those objects measures the other object’s time component, it will be reduced relative to their own, this because of time dilation, which is a relative expansion in the duration of a unit of time for matter in motion as measured by a stationary observer. Experiments confirm this. The concept that I have introduced, time contraction, on the other hand, produces a reduction in the duration of a unit of time, and it reveals itself in quantum phenomena and dark matter and energy. Time contraction enables dark matter and energy to convert between energy and matter states without detection or direct interaction with normal matter and energy. It also enables particles to choose its future position, the position toward which it contracts. This contraction not only reveals its position chosen by the time contracted (accelerated) element of a mass particle but it also defines the energy and momentum that is be measured at that time.

In regards to Quantum theory, the expansion-contraction hypothesis proposes that all mass and energy has a time contracted aspect to them, the time contracted expansion element, that tells the particle where to go, while normal and dilated conditions for that same particle define its rest mass and changes in mass due to motion. This can be represented by two concentric spheres that begin with the same length radius but which expand and contract out of phase and with inverted rates. Thus, when the expansion sphere expands by a factor of (a) for example, the contraction sphere contracts by a factor of (1/a). Each then switch directions, and functions the expansion sphere becomes the contraction sphere and vice-versa. However, the new contraction point, which determines position, need not be at the center of the sphere. It can be anywhere, as determined by the summations of the expansion-contraction factors. If you notice, at all times one or the other sphere is contracting or expanding, so at all times position and momentum are knowable quantities, which undermines the Heisenberg principle. This is explained further in my paper “Philosophical Consequences of Ex-Con Physics”.








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