Thursday, August 8, 2019

What you never knew, but thought you knew, about "Time," "Now," "Curved Spacetime General Relativity" and "Special Relativity 'Time Dilation'"

By David William Jedell                                UPDATED November 1, 2024
“It's easier to fool people than to convince them that they have been fooled.” - Mark Twain.
Why does such an obvious concept remain undiscovered since consciousness developed? Immanuel Kant insufficiently tackled the question of "Time", along with other very famous philosphers and physicists. Thus, it is a very important topic, however neither Kant nor anybody else has seen the simple truth that Time in and of itself does not exist, although they provide sophistries to beguile their readers with imagined and irrelevant fallacious thoughts. The facts are as follows: It is always Now. If physicists, mathematicians and other scientists would accept this obvious fact, and disregard scientific propaganda and the peer review "requirement", we would approach a better understanding of everything. I challenge anyone to refute this paper.
We exist in our local Space point reference (spacial area where changes in object, energy and wave position are within our conscious sensory perception). The delusion of Time construct follows as a result of our single point reference on earth, giving rise to the conscious inference of Past, Now and Future. Have you ever woken up when it was not Now? The ticks of a watch are only made by gears that are coordinated with a fraction of the earth's rotation we call a "second." It is not keeping track of "Time." It is keeping track of the relation of two motions. The "speed" of these motions are not inherent in Time as a thing in and of itself, but rather, in the ratio of the distance the object travels to an arbitrary fraction of the earth's cyclical rotation as a constant (i.e., the ratio of one to 24, or an "hour"). Space and Now are the same thing. It is only consciousness that creates the delusion of Time; without it the Earth would exist in eternity. However, the universe would actually not "exist" at all without consciousness because existence is strictly a conscious construct.
When there is an event, like a collision of two objects in front of us, we store it in memory. When that event has moved out of our local Space, and there is another event in an ordered sequence, we delude ourselves into believing that the conscious perception of the first sequentially ordered event happened in the "past," as a result of the fact that the event is no longer generating sensory impulses (i.e., you no longer see it in front of you). However that event and its energies still continue in their effects in Space that is non-local. Since our conscious mind can review the perceptions of memory and the lack of the same immediate sensory perceptions simultaneously occurring (i.e., you don't see it anymore), the mental construct is created that there is a past and a present. This is not factual but flawed. As far as the "future," the motions and coincidences in "events" (i.e., the paths of two objects colliding) have not occurred in our local Space reference. The future can only be imagined, predicted or hoped for, but if the future did exist, it would be in our local Space. There are motions of matter and a sensory "observer" however Space is always Now and Now is always Space. So-called "Time Dilations" in relativistic physics are at best accelerations of momentum within Now.
However, Einstein doesn't apply his own postulate that all inertial frames are equivalent. So, the observer on the spaceship sees the clock on earth going slower while the observer on earth sees the clock on the spaceship going slower at the exact same rate. Since all inertial frames are equal, when the two observers are joined back together, the number of clicks of their clocks are physically the same. Otherwise, the observer on the space ship would see the earth spinning like a top, and the spaceship would be a "privileged" frame of reference which Special Relativity does not allow.
Moreover, in accordance with Einstein's Special Relativity, light always moves in a straight line. In his famous thought experiment, the light leaves the emitter and heads straight up towards the receiver at an angle. This is impossible. Actually, the beam must be moving straight up and down. It is the spaceship that is moving, that's all, and in the opposite direction, the "proper" frame is also "moving." (See, 7.2.2 Time dilation, http://www.thestargarden.co.uk/Special-relativity.html). Clocks are not "Time" itself, but rather, they measure and compare relative motions. The use of light, with its constant speed in all reference frames, to measure the rate of clicks, is simply a convenient way to exactly compare the so-called proper frame number of clicks with the relatistic frame number of clicks.
The slowing or red shifting of light moving away from an object near the event horizon of a black hole (or dark neutron star) is just that; the slowing of photons in the grasp of strong gravity continuing in Space-Now. There is no evidence of Time slowing down or even existing in and of itself.
A major obstacle to the general acceptance of the fact that Time is a mathematical convenience or tool to compare relative motions in everyday life, and not a thing in and of itself, is that languages, such as English, are pervaded with words that express Time as a thing in and of itself, such as "happened," "was," "yesterday," tomorrow," and many other expressions of past and future tenses. Calendars, clocks and appointments are other obstacles to the comprehension of Space. Attributing a dimension to Time is analogous to attributing a dimension to a 12 inch ruler and calling it distance. In the same way clocks are not time itself. Moreover, the Sapir-Whorf hypothesis states that the grammatical and verbal structure of a person’s language influences how they perceive the world. It emphasizes that language either determines or influences one’s thoughts. https://thejedellreport.blogspot.com/2022/05/roe-v-wade-getting-worked-up-over.html
Thought Experiment
Instead of trying to think this out with our flawed verbal language system, try to think in a spacial way of what is actually happening. Here is a simple example of spacial comprehension of this; a thought experiment. A jet liner located on the equator takes off due west. When it reaches 35,000 feet it is traveling 1,000 mph ground speed. The pilot has only a sun dial in front of the cockpit that he can see from inside. Nobody on the plane has a clock or watch. The sun dial shadow indicates it is 3pm upon reaching 35,000 feet. The sun can be seen high above. Subsequent to the plane traveling 6,000 miles, the sun dial is in the same 3pm position and the sun hasn't moved. Its still high in the sky. The pilot and everyone on the plane think that time has stopped during the flight. They even confirm this assessment when they land and take a few minutes to walk into the airport. All the clocks on the walls and all the people's watches indicate 3:05pm.
On the ground at the airport that the plane departed from, the ground crew personnel look at their watches and see that they indicate 9pm. It is also night, the stars are shining. They compare their memory of a sunny day with the present sensory input of night and no sun. They construct the delusion of time. Whereas the pilot and passengers have current sensory input of a shining sun and a sun dial that has not moved during the flight. Finally, the pilot and passengers are informed that they are moving through Space from one area of Space to another, and that they passed 6 "Established Time Zones." The pilot and passengers accept this explanation after some thought. But the ground crew believe that it is 9pm and that 6 hours of "Time" have passed because the hands of their watches moved and the sun set and it is night. The crew holds on to delusion like people did when the earth was flat and the earth was the center of the universe, rejecting Columbus and Copernicus on his death bed, and burning Guido at the stake for heresy.
There can be no "Time Travel" without Time, and the "Arrow of Time" can just as easily be reversed with no real difference, i.e., that "Time" moves from the future to the past or moves from past to future. Theoreticallyt, in order to travel into the "Past", all cause and effect vectors would have to be reversed, and it would take 150 years to go back 150 years. However, this cannot be done. Neither can travelling to the "future" because it would rquire an increase in momentum of all vectors of momentum, which cannot be done.
Furthermore, entropy is not only a flawed concept (i.e., the egg was a jumble of particles before it was neatly assembled into an egg, then dropped into a chaotic mess), but is does not prove the existence of time. Einstein's light cone (https://en.wikipedia.org/wiki/Light_cone), in so far as it represents space, is a correct structure with a false premise, i.e., that at the top is "Time" in the "future" moving down to the center which is "Time" in "the present" then lower which is "Time" in the "past." Actually, the top is filled with events whose momentum has not sequenced into our sensory space. The center is our sensory space, and the bottom is where momentum has moved from our sensory space to outside our sensory space. All in NOW! We can account for the entire universe without the delusion of "Time" in and of itself.
The Fact That Light Travels Fast Does Not Prove The Existence of Time
Rather than a light cone, it is more accurate to depict a circle representing your conscious area of sensory perception. Arrows outside of the circle pointed inward to the circle represent sequentially separated momentum or events that have not effected your perception but are poised to do so. See, https://www.dreamstime.com/illustration/arrows-pointing-to-circle-middle.html
Arrows inside the circle (or sphere) pointed outward are events or momentum that affect your perception but are moving away. See, https://www.istockphoto.com/vector/arrows-outwards-circle-round-shape-vector-illustration-gm1473703846-503768100
A sequence does not depend on "Time", i.e., the sequence 1,2,3 will always be 1,2,3 no matter how much the earth has rotated or revolved. A sequence is time independent.
The probability of the above subjective constructs accurately depicting objective facts is as high as can be.
"Serious critical thinking and skepticism addressed to new and even old claims is not just permissible, it is encouraged and desirable as the essence of science." - Carl Sagan

Special Relativity

The thought experiment of Albert Einstein to explain time dilation is a space ship traveling at relativistic speeds (close to the speed of light 'c') with a pulse of light moving up and down in a straight line within the space ship, from the emitter to the receiver and back. Relative to an outside stationary observer on earth, the light pulse is moving over a greater distance than just up and down (it is traveling the hypotenuse of a right angled triangle because of the train's motion on the x-direction), but because light travels at 'c' in every reference frame, the pulse must still travel at the same speed 'c' relative to the outside observer. Hence, according to the theory, because it travels a greater distance with the same speed, it must take longer to do so and hence time will appear to be running slower within the rocket - relative to the man outside.

Image result for special relativity time dilationImage result for special relativity time dilation

However, Einstein doesn't apply his own postulate that all inertial frames are equivalent. So, the observer on the spaceship sees the clock on earth going slower while the observer on earth sees the clock on the spaceship going slower at the exact same rate. Since all inertial frames are equal, when the two observers are joined back together, the number of clicks of their clocks are physically the same. Otherwise, the observer on the space ship would see the earth spinning like a top.

Moreover, in accordance with Einstein's Special Relativity, light always moves in a straight line. In his famous thought experiment, the light leaves the emitter and heads straight up towards the receiver at an angle. This is impossible. Actually, the beam must be moving straight up and down. It is the spaceship that is moving, that's all. [4]

A different perspective on the theory of Einstein that does away with his equivalent frames postulate would be that the spaceship is moving within the vacuum energy of space with respect to the "fixed stars."

In other words, the earth is in the framework of the fixed stars and the spaceship is too but it is not within the framework of the earth as an enertial frame moving the opposite way. With this clarification, time has a different connotation. Since inertia (mass) is shown to increase at relativistic speeds, the ship and all that is in it is affected by the slower speed at which objects move in that local Space-Now ("Time-B"). Special Relativity does not exclude Space-Now. 

Gravity and Curved Spacetime - General Relativity

The Einstein field equations (EFE) may be written in the form:

{\displaystyle R_{\mu \nu }-{\tfrac {1}{2}}Rg_{\mu \nu }+\Lambda g_{\mu \nu }={\frac {8\pi G}{c^{4}}}T_{\mu \nu }}
where Rμν is the Ricci curvature tensor, R is the scalar curvature, gμν is the metric tensor, Λ is the cosmological constant, G is Newton's gravitational constant, c is the speed of light in vacuum, and Tμν is the stress–energy tensor.

Despite the fact that it's over a century old, Einstein's theory of general relativity is our current understanding (physicists' consensus) of how gravity operates. In this view, space and time are merged together into a unified framework known as (no surprises here) space-time. This space-time isn't just a fixed stage but bends and flexes in response to the presence of matter and energy.
That bending, warping and flexing of space-time then goes on to tell matter how to move. In general relativity, everything from bits of light to speeding bullets to blasting spaceships want to travel in straight lines. But the space-time around them is warped, forcing them all to follow curved trajectories — like trying to cross a mountain pass in a straight line, but following the peaks and valleys of the topography.
 
Einstein's equations can be loosely summarized as the main relation between matter and the geometry of spacetime (describing gravitational motion). On the right hand side of the equation, the most important thing is the appearance of the energy-momentum tensor
. It encodes exactly how the matter---understood in a broad sense, i.e. any energy (or mass or momentum or pressure) carrying medium---is distributed in the universe. For understanding how to interpret the subscript indices of the , see explanation of the metric tensor below.
It is multiplied by some fundamental constants of nature (the factor but this isn't of any crucial importance: One can view them as book-keeping tools that keep track of the units of the quantities that are related by the equation. In fact, professional physicists typically take the liberty to redefine our units of measurements in order to simplify the look of our expressions by getting rid of pesky constants such as this. One particular option would be to choose "reduced Planck units", in which and , so that the factor becomes
On the left hand side of Einstein's equations, we find a few different terms, which together describe the geometry of spacetime. General relativity is a theory which uses the mathematical framework known as (semi-)Riemannian geometry. In this branch of mathematics, one studies spaces which are in a certain sense smooth, and that are equipped with a metric. Let us first try to understand what these two things mean.
The smoothness property can be illustrated by the intuitive (and historically important!) example of a smooth (two-dimensional) surface in ordinary three-dimensional space. Imagine, for instance, the surface of an idealized football, i.e. a 2-sphere. Now, if one focuses ones attention to a very small patch of the surface (hold the ball up to your own face), it seems like the ball is pretty much flat. However, it is obviously not globally flat. Without regards for mathematical rigor, we can say that spaces that have this property of appearing locally flat are smooth in some sense. Mathematically, one calls them manifolds. Of course, a globally flat surface such as an infinite sheet of paper is the simplest example of such a space.
In Riemannian geometry (and differential geometry more generally) one studies such smooth spaces (manifolds) of arbitrary dimension. One important thing to realize is that they can be studied without imagining them to be embedded in a higher-dimensional space, i.e. without the visualization we were able to use with the football, or any other reference to what may or may not be "outside" the space itself. One says that one can study them, and their geometry, intrinsically.

The metric

When it comes to intrinsically studying the geometry of manifolds, the main object of study is the metric (tensor). Physicists typically denote it by
. In some sense, it endows us with a notion of distance on the manifold. Consider a two-dimensional manifold with metric, and put a "coordinate grid" on it, i.e. assign to each point a set of two numbers, . Then, the metric can be viewed as a matrix with entries. These entries are labeled by the subscripts , which can each be picked to equal or . The metric can then be understood as simply an array of numbers:


We should also say that the metric is defined such that
, i.e. it is symmetric with respect to its indices. This implies that, in our example, . Now, consider two points that are nearby, such that the difference in coordinates between the two is We can denote this in shorthand notation as where is either or and and Then we define the square of the distance between the two points, called as


To get some idea of how this works in practice, let's look at an infinite two-dimensional flat space (i.e. the above-mentioned sheet of paper), with two "standard" plane coordinates
defined on it by a square grid. Then, we all know from Pythagoras' theorem that

This shows that, in this case, the natural metric on flat two-dimensional space is given by

Now that we known how to "measure" distances between nearby points, we can use a typical technique from basic physics and integrate small segments to obtain the distance between points that are further removed:

The generalization to higher dimensions is straightforward. 

Curvature tensors

As explained above, the metric tensor defines the geometry of our manifold (or spacetime, in the physical case). In particular, we should be able to extract all the relevant information about the curvature of the manifold from it. This is done by constructing the Riemann (curvature) tensor
, which is a very complicated object that may, in analogy with the array visualization of the metric, be regarded as a four-dimensional array, with each index being able to take on values if there are coordinates on the manifold (i.e. if we're dealing with an -dimensional space). It is defined purely in terms of the metric in a complicated way that is not all too important for now. This tensor holds pretty much all the information about the curvature of the manifold---and much more than us physicists are typically interested in. However, sometimes it is useful to take a good look at the Riemann tensor if one really wants to know what's going on. For instance, an everywhere vanishing Riemann tensor () guarantees that the spacetime is flat. One famous case where such a thing is useful is in the Schwarzschild metric describing a black hole, which seems to be singular at the Schwarzschild radius . Upon inspection of the Riemann tensor, it becomes apparent that the curvature is actually finite here, so one is dealing with a coordinate singularity rather than a "real" gravitational singularity.
By taking certain "parts of" the Riemann tensor, we can discard some of the information it contains in return for having to only deal with a simpler object, the Ricci tensor:

This is one of the tensors that appears in the Einstein field equations. the second term of the equations features the Ricci scalar
, which is defined by once again contracting (a fancy word for "summing over all possible index values of some indices") the Ricci tensor, this time with the inverse metric which can be constructed from the usual metric by the equation

As promised, the Ricci scalar is the contraction of the Ricci tensor and inverse metric:

Of course, the Ricci scalar once again contains less information than the Ricci tensor, but it's even easier to handle. Simply multiplying it by once again results in a two-dimensional array, just like and are. The particular combination of curvature tensors that appears in the Einstein field equations is known as the Einstein tensor

The cosmological constant

There is one term that we have left out so far: The cosmological constant term
. As the name suggests, is simply a constant which multiplies the metric. This term is sometimes put on the other side of the equation, as can be seen as some kind of "energy content" of the universe, which may be more appropriately grouped with the rest of the matter that is codified by .

Einstein's equation relates the matter content (right side of the equation) to the geometry (the left side) of the system. It can be summed up with "mass creates geometry, and geometry acts like mass".
For more detail, let's consider what a tensor is. A two-index tensor (which is what we have in Einstein's equation), can be thought of as a map which takes one vector into another vector. For example, the stress-energy tensor takes a position vector and returns a momentum vector, mathematically
The interpretation is that the right side of Einstein's equation tells us the momentum which is passing through a surface defined by the position vector.
The left side can be interpreted in this manner as well. The Ricci curvature
takes a position vector and returns a vector telling us how much the curvature is changing through the surface defined by . The second and third terms, both having factors of the metric , tell us how much distance measurements are changed when traveling along the vector. There are two contributions to this change in distance - the scalar curvature and the . If is "curvature in a single direction", than is the "total curvature". is a constant which tells us how much innate energy empty space has, making all distances get larger for .
So, reading the equation right to left, "Einstein's equation tells us that momentum (moving mass) causes both curvature and a change in how distances are measured." Reading left to right, "Einstein's equation tells us that curvature and changing distance acts just like moving mass."

Despite its intricacy, relativity remains the most accepted way to account for the physical phenomena we know about. Yet scientists know that their models are incomplete because relativity is still not fully reconciled with quantum mechanics. which explains the properties of subatomic particles with extreme precision but does not incorporate the force of gravity. 

That's it for Relativity. Now we explore how the internal feeling of the amount of "Time-C" gets smaller as our body ages.

Subjective Feeling of Time Accelerates as We Get Older. Getting "older" is correlated with Objective Time but it is only the biological division of cells and other harmful health factors that are truly "aging."

Subjective Time ("Time-C) is interactive memory and recall of the distance between "events" that is mistaken as the duration of "Time-A" in and of itself. Our largest subjective feeling of Subjective Time is when we are first aware of being conscious, sometime in the first Objective Year of life.

Moreover, in 2005, Wittmann & Lehnhoff [1] systematically asked large samples of younger and older people how they experienced time. In the study, 499 German and Austrian participants aged 14 to 94 were asked how fast time usually passed for them. The study indicated that this set of people feel time passing more quickly as they get older.

Wittman and Lehnhoff found that everybody, regardless of age, thought that time was passing quickly. The question, “How fast did the last 10 years pass for you?” yielded a tendency for the perception of the speed of time to increase in the previous decade. This pattern peaked at Objective age 50, however, and remained steady until the mid-90s. [2]

Dr. William Friedman [3] proposed a theory, originally proposed by William James in 1877 (labelled the "Father of American psychology"), to explain this phenomenon as follows (I thought of this when I was 8 years old myself as it is self evident to me): 

“As we get older, each year is a smaller proportion of our lives. For example, a year is 1/10 of the life of a 10 year old, but 1/70th of the life of a 70 year old. Therefore each year feels shorter relative to all the time we've lived and thus seems to be going by faster.”

Mathematical Treatment of Dr. Friedman's Statement and its Implications  
The t-axis represents Objective Time;
Objective Time (as a mathematical tool) is represented by t (based on "ticks" of an objective "clock" at 1 objective year intervals);
The y-axis represents Subjective Time; 
Subjective Time represented by y is defined as a function of t; 
y(t) = 1/t , t > 0; 
F(t) is the area under y(t), which is the perceived cumulative Subjective Time; 
F'(t) is the rate of change of the area under y(t).
 

F(t)  =y dt – 0 = y dt  

We may infer that the Subjective Area of Perceived Time during the Objective Time interval (t1, tn) is the integral of y(t) between (t1, tn).

                ∫ y dt
y 

                                                                                               t

The curve represents the Subjective Time as a function of Objective clock t. The shaded area under the curve is the Area of Subjective Perceived Time. The smaller the Area, the faster Subjective Time is perceived to pass. 
At 80 years of Objective age, looking back to the Objective year “1” we find that the Subjective Area of Perceived Time is,
                                    80
                   ∫ y dt = ln (80) = 4.3820266347 ≈ 4.4 Subjective Years.
                                    1
Furthermore, whereas most people sleep for 1/3rd of their first conscious year, lives, we do not adjust for sleep. This is a general number and subject to minor differences and aberrations with each different person.

4.4 Subjective Years is virtually all that is lived in a lifetime.

The Area of Subjective Time begins to become imperceptible from about 50 objective years to 80 objective years, because it is sufficiently small. This idea is consistent with the findings by Wittman and Lehnhoff, as stated above, that everybody, regardless of age, thought that "Time" was passing quickly and this pattern peaked at age 50, however, and remained steady until the mid-90s. 
In conclusion, the theory of Subjective Time under consideration is consistent with the empirical study. Dr. Friedman's statement that “As we get older, each year is a smaller proportion of our lives,” and that “each year feels shorter relative to all the time we've lived and thus seems to be going by faster,” further implies the mathematical result that a full 80 Objective Year lifespan results in only 4.4 Subjective Years.
(The above is a general theory of subjective time, It does not explore the small aberrations made by the brain depending on other factors. See, Good timing: Study unravels how our brains track time) https://medicalxpress.com/news/2024-07-good-unravels-brains-track.html

Your General Subjective Time = Natural Log of your chronological age in objective years. 
So, if you want to know your specific amount of Subjective Time that you have lived, use this Natural Log Calculator. Ex. ln (80)= 4.4
In conclusion, the idea that there are three types of Time is a fiction to deal with the misconceptions involved in the use of the word "Time." In reality, these are three different phenomena fictionally subsumed under the rubric of the common notion of "Time."


References 
[1] Wittmann, M. and Lehnhoff, S., (2005), Age effects in perception of time, Psychological Reports 97: 921-935
https://www.researchgate.net/publication/7266174_Age_effects_in_perception_of_time 
[2] Lewis , Jordan Gaines, Why Does Time Fly as We Get Older, Scientific American, (Dec. 18, 2013).
https://blogs.scientificamerican.com/mind-guest-blog/why-does-time-fly-as-we-get-older/
[3] Based on Aging and the Speed of Time presented by Dr. Friedman on 10/14/2010 at Oberlin College. Ibid.
[4]  Ricker III,  Harry H., Refutation Of Einstein's Principle of Relativity, General Science Journal, (May 28, 2011)
http://gsjournal.net/Science-Journals/Research%20Papers-Relativity%20Theory/Download/3494


Other Resources 
Jedell, David W., Einstein's Field Equation Explains Faster than Light Warp Drive
https://thejedellreport.blogspot.com/2019/09/theoretical-alcubierre-warp-drive.html

Sutter, Paul, The Universe Remembers Gravitational Waves — And We Can Find Them,  
Space.com (12-6-2019)
https://www.space.com/gravitational-waves-memory-space-time.html


Bergmann, Peter Gabriel; Einstein, Albert, Theory of Relativity, Dover Publications, Inc., (1976); Stanford General Relativity Lecture Series, Leonard Susskind, https://m.youtube.com/watch?v=JRZgW1YjCKk

Mann, Adam, What is Space-Time, Live Science (Dec. 19, 2019)
https://www.livescience.com/space-time.html


Related Material
Time's Arrow Within Glass Appears To Go In Both Directions, Raising Huge Questions. Processes within glass, as well as a few other materials with similar properties, appear to be time-reversible, potentially telling us something interesting about the second law of thermodynamics. Just about all physical laws are time reversible, from the Schrödinger equation to Newton’s laws of classical mechanics. Play them back in reverse, and they will look the same either way. But the second law of thermodynamics is different, and shows us an arrow of time. If you see a system heading towards disorder, you can bet your bottom dollar that it is going forward in time. You cannot un-cook an egg. https://www.iflscience.com/times-arrow-within-glass-appears-to-go-in-both-directions-raising-huge-questions-75551 Time "Arrow" Reversability (Peer Reviewed) https://www.nature.com/articles/s41567-023-02366-z
Jose N. Pecina-Cruz, Intelligent Systems, Inc., On the Collapse of Neutron Stars. Neutron Stars not Black Holes. This paper reviews the Oppenheimer, Volkoff and Snyder’s claim upon the formation of black holes from the collapse of Neutron Stars. It is found that such collapse is inconsistent with microscopic causality and Heisenberg uncertainty principle. https://arxiv.org/pdf/physics/0608121
Profound Brain Changes and Non Linear Thinking. The brain is actually soft-wired, meaning it is plastic and malleable, undergoing significant changes as we learn and age. When neuronal circuits are fine-tuned for whatever reason, gray matter tends to be pruned back while white matter connections increase, allowing information to travel around the brain more efficiently (and for a higher IQ). https://www.sciencealert.com/profound-brain-changes-of-pregnancy-revealed-in-scientific-first
Copyright © 2024 David William Jedell
 
Email: d.w.jedell@gmail.com

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