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Friday, July 25, 2025

Unfinished Special Relativity Theory

It's a little-known fact that the special theory of relativity, a cornerstone of modern physics, is not a complete picture. This theory, which explores the enigmatic realms of the universe's fundamental entities—space, time, energy, and matter—is the pillar of the macroscopic physical realm.

 

The special theory of relativity (1,2) elegantly unifies the seemingly disparate concepts of space and time into a single entity: 4D spacetime. This unification, which introduces higher dimensionality into the otherwise 3D physics, clarifies the framework in which energy and mass are related to Einstein's famous equation E = mc². Since mass is the property of matter, a 3D substance, in the same token, energy should be the property of 4D matter, a meta-substance. It brings a sense of simplicity to the complex world of physics. Humans find it hard to perceive such a 4D object, except Anaximander, who dubbed it Apeiron.

 

Contrary to common belief, spacetime and energy are not separate entities; they are inextricably linked, a principle philosophically known as Aristotle's hylomorphism principle. They are intricately intertwined, much like the spherical form and water substance of a water drop. This interconnectedness underscores the interdependence of these fundamental concepts in the universe.

 

As a geometrical quality of energy, the spacetime has no existence on its own. Energy, or more precisely the Apeiron, on the other hand, is primordial; neither can be destroyed nor created, from which everything else is derived.

 

The dimensionality and polarity of energy

 

The dimensionality of the spacetime is just the reflection of the degree of freedom and the potency of energy as a whole. The higher the energy potency, the greater the number of spacetimes that can be. It is a fact that some advanced physical theories have revealed the existence of higher-dimensional worlds.

 

Under special relativity, the energy as a whole is much more like a 4-dimensional ocean. This metaphor helps us understand that what we know about energy in our daily life is only superficial. From this perspective, energy has no independent existence. It is only a mathematical abstraction, indirectly known from its functional relationship to other physical variables or coordinates.

 

Another important principle that the special relativity theory reveals is the polarity of the energy. The energy as a whole consists of positive and negative energies as expressed in the relativistic energy equation E2 = m2c4+p2c2. This energy polarity, which physicists deny fearing its doomsday catastrophic consequences, is the fundamental prerequisite for the universe's dynamicity. It's not just a mathematical concept; it is the principle of unity of opposites, a key factor in the universe's structure and operation.

 

Creation by Separation (Big Split)

 

The energy as a whole tends to separate into its positive and negative components. As they segregate from each other, a 3D interface (physical space) is created between the two, analogous to the interface that exists between immiscible oil and water, which we can observe in our daily life. This separation process, known as spontaneous symmetry breaking (SSB), we dubbed the Big Split, the rivalry with the Big Bang theory.

 

How do the two opposite energies split? The split is taking place gradually, like a crack propagating across a glass sphere. As such, the 3D interface is stretching out, which we perceive as the universe (more precisely, 3D space) expanding. The repulsive force of the opposite energies that stretch out the 3-interface (space) is the action of the 4D energy sea (Apeiron), the invisible dark energy.

 

Ephemeral Particles, Probabilistic and Non-Locality Features of Nature

 

The perpetual interplay between positive and negative energies gives rise to quantum fields that pierce through and ignite quantum sparks ("quark") at the 3D interface, analogous to the pixels appearing and disappearing on a gigantic plasma TV screen. It is the reality of the quanta, the ephemeral fundamental particles.

 

Fundamental particles are created and annihilated in a continuous process, following Einstein's energy-mass equivalence, E = mc^2, which microscopically resembles relativistic thermodynamic equilibrium between four-dimensional energy seas and three-dimensional matter at an exchange rate to and fro between the two phases at the speed of light, c. There is no persistent fundamental particle in nature. What we perceive as a persistent particle in the macro realm is, in reality, the appearance of a series of different particles subsequently created and annihilated one after another. It is analogous to the flame of a candle, which is never the same entity at any other instant.

 

As such, there could be no continuity and deterministic feature of nature. Instead, discontinuity and probability are the standard features of nature, which are fundamental characteristics of quantum mechanics. Another feature of quantum mechanics, non-locality, is the manifestation of the perpetual wave-particle duality that takes place simultaneously.

 

The Instant of Time, the Wave Motion of Particles, Rotating Universe

 

The perpetual creation and annihilation of particles give us the impression that time is passing. The rate of perpetual creation and destruction is the underlying cause of the speed of light. The irreversibility of the process determines the direction of time.

The act of creation and annihilation does not occur in time, but instead builds up time. If the fundamental particles were created permanently, there would be no instant of time. It is the mystery about the nature of time that has puzzled humankind since the dawn of history.

 

What we perceive as a permanent particle moving forward is, in fact, a series of different particles that subsequently appear and disappear, analogous to water wave motion in which individual water molecules don't move forward but are only moving up and down.

 

The 3-dimensional interface between the two energies is dynamic. The repulsive opposite energies rotate the interface in the normal direction to its plane, the fourth dimension. This interface, the universal now, is not necessarily flat but curving here and there, representing the local time. This space perpetually appears and disappears concurrently with the ephemeral particles that construct it.

 

Defying our common sense, we should make up our minds that space is somehow built up from particles, rather than particles inhabiting a spatial geometry. Roger Penrose (5) remarkably described the Galilean dynamical concept of 3D space as akin to the dynamical concept of ephemeral particles. He remarked that according to Galilean relativity," the physical space seems to be of something that evaporates completely as one moment passes, and reappears as a completely different space as the next moment arrives. There is no single space that serves as an arena for the physical world's actions evolving; instead, there is a different space for each moment in time, with no natural connection between the various spaces. There is no dynamical meaning to saying that a particular point in space is, or is not, the same point as some chosen point in space at a later time. Every succeeding moment represents a new universe, similar to the preceding (vaporized) universe, but also different."

 

Alas, he was reluctant to accept the reality when confronted with the physical space's ephemerality, with all its content as a physical reality. The perpetual creation and annihilation mechanism under modern relativity theory aligns completely with the relativity concepts from the time of Galileo.

 

The Flow of Time

 

We are unaware of those perpetual changes since the lapses of the individual sequence of creation and annihilation are on the order of 10^-44 seconds, the Planck time unit, the smallest universal time unit that nature allows. It corresponds to the changes that occur in space at the speed of light. The ordering of time, the essential ingredient of the dynamical concept of time, is precisely the appearance of underlying sequences of creation and annihilation that take place at the speed of light. When new particles come into existence, the unformed future is transforming itself into the reality of the present. When they vanish, the reality of the present is dissolving back into the past.

 

This perpetual creation and annihilation underlie the reality of time's flow. The direction of the said electromagnetic waves, and thus the irreversibility of the constant change and transformation sequences, determines the direction of the time flow. It is the intrinsic phenomenon that explains why the speed of any given object in (three-dimensional) space cannot exceed the speed of light, which is the basic foundation of special relativity.

 

As stated in the foregoing, because of the repulsive force of the positive-negative energies, the 3D interface (space) is rotating in the direction normal to its surface (the fourth dimension). Roger Penrose firmly ruled out the closed time-like direction curves as unphysical because they would violate causality. We here emphasize, however, that a rotating universe around a closed time-like direction does not necessarily violate causality, and it is highly plausible.

 

But one question is still open. If the universe does rotate around a closed time-like direction, then how could nature allow time to go forward on one side of the universe while moving backward on the other side? The only explanation for this is that only matters are created on one side and antimatters are equally created on the other side of the universe, so that matters go forward in time on one side. Antimatters move backward on the other side. The effect is that time will pass forward on both sides.

 

As we can see, the above elucidation answers the mystery that has long puzzled physicists about the absence of antimatter in this corner of the universe, where we reside, and the possible existence of "dark" antimatter on the other, remote side of the universe. The concept of the revolving universe seems to have been known since time immemorial, as schematically depicted in the revolving globe of "yin and yang" that "we are all familiar with, but without understanding the real meaning of it.

 

It is advisable to abandon once and for all the futile debate about time travel and kindly place Stephen Hawking's protection device in the museum, for there is no more worry about someone who wishes to travel back in time to kill their grandmother.


References:

1. Einstein, Albert et al.: "The Principle of Relativity Theory," Dover Publication, Inc. New York, 1952
2. Einstein, Albert: "The Meaning of Relativity, "Princeton Science Library, New Jersey, 1988
3. Herbert, Nick: "Quantum Reality, "Anchor Books, New York, 1985
4. Abbott & Van Ness: "Thermodynamics," McGraw-Hill, New York, 1967
5. Penrose, Roger: "The Road to Reality," Vintage, Random House, London, 2005
6. Hawking, Stephen: "The Future of Spacetime," W.W. Norton & Co., New York, 2002








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