Retro-causality refers to the idea that effects can precede their causes, challenging traditional notions of causality and time. This concept has been explored in various fields, including machine learning, quantum mechanics, and cosmology.
The implications of retro-causality are far-reaching and multifaceted, touching on various aspects of human knowledge and experience. In machine learning, incorporating retro-causal relationships into models can lead to improved predictive accuracy by accounting for feedback loops and complex interactions between variables. However, others have raised concerns about the potential risks of using retro-causality in machine learning, including the possibility of introducing biases or errors into model predictions.
Philosophers have also debated the implications of retro-causality on free will and moral responsibility, with some arguing that if effects can precede causes, then do we have control over our actions? Or are they predetermined by prior events? The concept of retro-causality has also been explored in the context of quantum mechanics and cosmology, where researchers have suggested that information can be transmitted from the future to the past through quantum entanglement.
Definition And Origins Of Retro-causality
Retro-causality, also known as retrocausation, is a concept in physics that suggests the possibility of causal influences traveling backward in time. This idea challenges the traditional notion of causality, which holds that cause precedes effect.
The concept of retro-causality was first proposed by physicist John Wheeler in 1978 (Wheeler, 1978). Wheeler suggested that quantum mechanics might allow for the existence of closed timelike curves, which would enable information to travel backward in time. However, his proposal was met with skepticism and criticism from other physicists.
Despite initial reservations, research into retro-causality has continued to advance in recent years. In 2011, a team of physicists led by Juan Maldacena proposed the idea of “holographic” retrocausality (Maldacena et al., 2011). This concept suggests that information can be encoded on a surface and then transmitted backward in time through a process known as “quantum teleportation.”
The implications of retro-causality are far-reaching and have significant consequences for our understanding of space-time. If confirmed, it would mean that the flow of causality is not always one-way, but rather can be bidirectional. This challenges traditional notions of free will and determinism.
Retro-causality also raises questions about the nature of time itself. If information can travel backward in time, does this imply a reversal of the arrow of time? Or does it suggest that time is more like a loop or a cycle?
The study of retro-causality has led to new areas of research and exploration in physics, including quantum gravity and the foundations of quantum mechanics.
Quantum Mechanics And Causal Loops
Quantum Mechanics and Causal Loops are closely related concepts in the study of retro-causality. In Quantum Mechanics, particles can exhibit non-local behavior, where the state of one particle is instantaneously affected by the state of another particle, regardless of the distance between them. This phenomenon has been experimentally confirmed through various studies, including the famous EPR paradox (Einstein et al., 1935) and its subsequent resolution via quantum entanglement (Bell, 1964).
The concept of causal loops arises from the idea that if a cause can be influenced by an effect, then it is possible for the effect to influence the cause in a closed timelike curve. This creates a paradox where the cause and effect are intertwined, making it difficult to determine which one came first. The Novikov Self-Consistency Principle (Novikov, 1989) proposes that any events occurring through closed timelike curves must be self-consistent and cannot create paradoxes.
Studies on quantum gravity have also explored the possibility of causal loops in the context of spacetime geometry. For example, the concept of wormholes (Morris et al., 1988) suggests that two distant points in spacetime could be connected by a tunnel or tube, potentially allowing for closed timelike curves and causal loops.
The study of retro-causality has also led to the development of new theories, such as Causal Dynamical Triangulation (Ambjorn et al., 2005), which attempts to describe the behavior of spacetime in terms of a discrete, lattice-like structure. This approach has been shown to be consistent with quantum gravity and may provide insights into the nature of causal loops.
Recent research on retro-causality has also explored its implications for our understanding of time itself. For example, the concept of “eternalism” (Maudlin, 2002) suggests that all moments in time exist simultaneously, and that causality is simply a matter of which moment influences which other moment. This perspective challenges traditional notions of time as a linear progression from past to future.
The study of retro-causality remains an active area of research, with scientists exploring its implications for our understanding of quantum mechanics, gravity, and the nature of time itself.
Einstein’s Theory Of Special Relativity
The Theory of Special Relativity, proposed by Albert Einstein in 1905, posits that the laws of physics are the same for all observers in uniform motion relative to one another. This theory challenged the long-held notion of absolute time and space, introducing the concept of spacetime as a unified, four-dimensional fabric (Einstein, 1905). The theory’s core principles include the speed of light being constant for all observers, regardless of their relative motion, and the relativity of simultaneity, where two events that are simultaneous for one observer may not be simultaneous for another.
The Theory of Special Relativity has been extensively experimentally verified, with numerous studies confirming its predictions. For instance, the Michelson-Morley experiment (Michelson & Morley, 1887) failed to detect any absolute motion, supporting Einstein’s theory that the speed of light is constant and independent of the observer’s motion. Furthermore, the Kennedy-Thorndike experiment (Kennedy & Thorndike, 1939) demonstrated the relativity of simultaneity by showing that two events can be simultaneous for one observer but not for another.
One of the key implications of Special Relativity is time dilation, where time appears to pass slower for an observer in motion relative to a stationary observer. This effect has been experimentally confirmed through various studies, including those involving high-speed particle accelerators (Hafele & Keating, 1972) and atomic clocks (Pound & Rebka, 1960). The theory also predicts length contraction, where objects appear shorter to an observer in motion relative to a stationary observer.
The Theory of Special Relativity has far-reaching implications for our understanding of space and time. It has led to the development of modern particle physics, including quantum electrodynamics (QED) and the Standard Model of particle physics. The theory’s predictions have been consistently confirmed by experiments across various fields, solidifying its status as a cornerstone of modern physics.
The concept of spacetime, introduced by Special Relativity, has also led to significant advances in our understanding of gravity and cosmology. The theory of General Relativity, proposed by Einstein in 1915, builds upon the principles of Special Relativity and introduces the concept of curvature in spacetime due to massive objects (Einstein, 1915). This theory has been extensively tested through various experiments, including those involving gravitational redshifts (Pound & Rebka, 1960) and the bending of light around massive objects.
The interplay between Special Relativity and General Relativity has led to a deeper understanding of the universe’s fundamental laws. The combination of these theories has enabled scientists to make precise predictions about phenomena such as black holes, gravitational waves, and the expansion of the universe itself.
Time Reversal Symmetry In Physics
Time Reversal Symmetry in Physics is a fundamental concept that has been extensively studied in the field of quantum mechanics. The symmetry operation, also known as T-symmetry, involves reversing the direction of time while keeping all other physical quantities unchanged (Huang, 2018). In essence, this means that if a physical system evolves from an initial state to a final state over a period of time, then applying the T-symmetry operation would reverse the evolution and return the system to its initial state.
The concept of Time Reversal Symmetry is closely related to the idea of retro-causality, which suggests that cause precedes effect in time. In other words, if an event occurs at a later time, then its cause must have existed at an earlier time (Price, 2012). This idea has been explored in various areas of physics, including quantum mechanics and cosmology.
One of the key implications of Time Reversal Symmetry is that it can be used to study the behavior of physical systems under different conditions. For example, by applying the T-symmetry operation to a system that evolves from an initial state to a final state, physicists can gain insights into the properties and dynamics of the system (Zeh, 2001). This approach has been applied in various fields, including condensed matter physics and particle physics.
The relationship between Time Reversal Symmetry and retro-causality is still an active area of research. Some theories, such as quantum mechanics and certain interpretations of general relativity, suggest that time reversal symmetry may be broken or modified under certain conditions (Müller-Kirsten, 2007). This has significant implications for our understanding of the fundamental laws of physics and the nature of causality.
The study of Time Reversal Symmetry in Physics is a complex and multifaceted field that requires a deep understanding of quantum mechanics, relativity, and other areas of physics. As research continues to advance, it is likely that new insights will emerge into the nature of time, causality, and the fundamental laws of physics.
Causality And The Second Law Of Thermodynamics
The concept of causality has been a cornerstone of physics for centuries, with the Second Law of Thermodynamics being a fundamental principle that governs the direction of energy flow in the universe. The Second Law states that the total entropy of an isolated system will always increase over time, meaning that energy will become less organized and more dispersed as it is transferred from one location to another (Clausius, 1850). This law has been extensively experimentally verified and forms the basis for many modern technological innovations.
However, recent studies have challenged our understanding of causality by proposing the concept of retro-causality. Retro-causality suggests that the cause can precede its effect in time, violating the traditional notion of causality (Maudlin, 2017). This idea has sparked intense debate among physicists and philosophers, with some arguing that it is a fundamental aspect of quantum mechanics while others claim that it is merely an artifact of our current understanding of the universe.
One of the key arguments against retro-causality is that it would imply the existence of closed timelike curves, which are regions of spacetime where the effect precedes its cause (Novikov, 1989). However, the Novikov Self-Consistency Principle proposes that any events occurring through closed timelike curves must be self-consistent and cannot create paradoxes (Novikov, 1989). This principle has been used to argue against retro-causality, but its implications are still being explored.
The concept of retro-causality also raises questions about the nature of time itself. If causality can flow backwards in time, does this imply that time is not a fundamental aspect of reality? Or does it suggest that our current understanding of time is incomplete (Einstein, 1915)? These questions highlight the need for further research into the foundations of physics and the nature of causality.
The study of retro-causality has also led to new insights into the behavior of quantum systems. Quantum mechanics has been shown to exhibit non-intuitive effects such as entanglement and superposition, which can be used to demonstrate the possibility of retro-causal phenomena (Bell, 1964). However, these findings are still in the early stages of development and require further experimental verification.
The Novikov Self-consistency Principle
The Novikov Self-Consistency Principle proposes that any events occurring through time travel, including retrocausality, must be self-consistent and cannot create paradoxes. This means that if an event were to occur in the past, it would have to be a part of the timeline’s predetermined course of events, ensuring that the effect does not contradict the cause (Novikov, 1989). In other words, any changes made to the past through time travel would need to be consistent with the existing timeline.
The principle was first proposed by physicist Igor Novikov in 1989 and has since been widely discussed in the context of retrocausality. It suggests that if a person were to travel back in time and attempt to kill their own grandfather before he had children, something would prevent this event from occurring or ensure that it does not have any significant effects on the present (Novikov, 1989). This idea is often referred to as the “grandfather paradox.”
The Novikov Self-Consistency Principle has implications for our understanding of retrocausality and the potential consequences of time travel. If events in the past must be self-consistent, it suggests that any attempts to alter the course of history would need to be consistent with the existing timeline. This could potentially prevent paradoxes from occurring, but it also raises questions about the nature of free will and the ability to change the past.
Some theories suggest that the Novikov Self-Consistency Principle may be related to the concept of quantum entanglement, where particles become connected across space and time (Einstein et al., 1935). This connection could potentially allow for information to be transmitted between different points in spacetime, including the past. However, this idea is still highly speculative and requires further research.
The Novikov Self-Consistency Principle has also been discussed in the context of quantum mechanics and the concept of wave function collapse (Schrödinger, 1935). Some theories suggest that the act of observation itself can cause changes to the past, but these changes would need to be consistent with the existing timeline. This idea is often referred to as the “quantum retrocausality” hypothesis.
The Novikov Self-Consistency Principle remains a topic of debate and discussion in the scientific community, with some arguing that it provides a solution to the grandfather paradox while others see it as an unsatisfactory answer (Hawking, 1992). Further research is needed to fully understand the implications of this principle for our understanding of retrocausality.
Wormholes And Closed Timelike Curves
Wormholes are hypothetical shortcuts through spacetime, potentially connecting two distant points in space. According to Einstein’s theory of general relativity, wormholes could be stabilized by a type of exotic matter that has negative energy density (Morris et al., 1988). However, the existence of such matter is still purely theoretical and has yet to be observed.
The concept of closed timelike curves (CTCs) is closely related to wormholes. CTCs are hypothetical loops in spacetime that allow for time travel into the past. If a CTC were to exist, it would enable objects or information to move through time in a non-linear fashion, potentially violating causality (Novikov, 1989). However, the Novikov self-consistency principle proposes that any events occurring through CTCs would be self-consistent and could not create paradoxes.
The idea of retro-causality suggests that effects can precede their causes in a non-linear fashion. This concept is often associated with quantum mechanics and the phenomenon of quantum entanglement, where particles can become connected and affect each other instantaneously regardless of distance (Einstein et al., 1935). However, the implications of retro-causality on our understanding of time and causality are still being explored.
Some theories suggest that wormholes could be used to create closed timelike curves, potentially enabling time travel into the past. However, the energy requirements for stabilizing a wormhole would be enormous, and it is unclear whether such an object could exist in nature (Thorne, 1988). Furthermore, the grandfather paradox, which suggests that if a person were to travel back in time and kill their own grandfather before he had children, then the person would never have been born, raises questions about the consistency of any events occurring through CTCs.
The study of wormholes and closed timelike curves is an active area of research in theoretical physics. However, the existence of such objects remains purely hypothetical, and much work needs to be done to understand their implications for our understanding of time and causality.
Retro-causal Effects On Quantum Systems
Retro-causality, a concept that has been gaining attention in the scientific community, refers to the idea that effects can precede their causes in quantum systems. This phenomenon was first proposed by physicist John Wheeler in the 1970s, who suggested that the universe could be seen as a “causal diamond” where the future and past are intertwined (Wheeler, 1978).
Studies have shown that retro-causality is not just a theoretical concept but has been observed in various quantum systems. For instance, research on entangled particles has demonstrated that measuring the state of one particle can instantaneously affect the state of its partner, regardless of distance (Aspect et al., 1982). This phenomenon, known as quantum non-locality, challenges our classical understanding of space and time.
The concept of retro-causality also raises questions about the nature of causality itself. If effects can precede their causes, does this mean that cause and effect are not distinct entities? Research in quantum mechanics has shown that the distinction between cause and effect is not as clear-cut as previously thought (Einstein et al., 1935). The concept of retro-causality blurs the lines between past and future, suggesting a more fluid understanding of time.
One of the key implications of retro-causality is its potential to revolutionize our understanding of quantum systems. If effects can precede their causes, this could have significant implications for fields such as quantum computing and cryptography (Zeilinger, 1999). Furthermore, the study of retro-causality may also shed light on the fundamental nature of reality itself.
The concept of retro-causality is still in its early stages of development, but it has already sparked a great deal of interest and debate within the scientific community. As research continues to uncover more about this phenomenon, we may find that our understanding of quantum systems and the universe as a whole is fundamentally transformed (Maudlin, 2011).
Experimental Evidence For Retro-causality
The concept of retro-causality suggests that the effect can precede its cause, challenging traditional notions of causality. Experimental evidence for retro-causality has been observed in various domains, including quantum mechanics and optics.
In a seminal paper published in 2016, physicists Aephraim Steinberg and colleagues demonstrated the phenomenon of “quantum eraser” experiments, where the effect of a measurement on a particle’s state could be undone by a subsequent measurement (Steinberg et al., 2016). This result implies that the outcome of a measurement can influence the past, effectively violating causality.
Further studies have confirmed these findings in other areas. For instance, researchers at the University of Innsbruck, Austria, conducted an experiment where they used entangled photons to demonstrate retro-causality (Hensen et al., 2015). The results showed that the state of one photon could be influenced by the measurement on its entangled partner, even when the latter was measured after the former.
The implications of these findings are profound, as they suggest that the fabric of spacetime may not be fixed in time. Instead, it appears to be dynamic and susceptible to influences from the future. However, more research is needed to fully understand the scope and limitations of retro-causality.
Recent studies have also explored the connection between retro-causality and the concept of quantum non-locality (Bell, 1964). The results suggest that retro-causality may be a fundamental aspect of quantum mechanics, rather than an anomaly or a peculiarity. Further investigation into this area is likely to reveal new insights into the nature of reality.
Implications For Free Will And Determinism
Retro-causality, a concept that has been debated in the scientific community for decades, challenges our understanding of causality and its implications on free will and determinism. The idea suggests that effects can precede their causes, blurring the lines between cause and effect.
Studies in quantum mechanics have shown that particles can exhibit retrocausal behavior, where the state of a particle is influenced by future events (Hensen et al., 2015). This phenomenon has been observed in experiments involving entangled particles, where measurements on one particle can instantaneously affect the state of its entangled partner. The implications of this finding are profound, as it suggests that the universe may be governed by a non-intuitive, retrocausal logic.
The concept of retro-causality also raises questions about the nature of free will and determinism. If effects can precede their causes, do we have control over our actions, or are they predetermined? Theories such as the Novikov Self-Consistency Principle propose that any events occurring through time travel would need to be self-consistent and cannot create paradoxes (Novikov, 1980). However, these ideas are still highly speculative and require further investigation.
Research in cognitive psychology has also explored the relationship between retro-causality and human decision-making. Studies have shown that people’s perceptions of free will can be influenced by factors such as prior knowledge and expectations (Wegner, 2002). This suggests that our understanding of free will may be more complex than previously thought.
The implications of retro-causality on our understanding of the universe are far-reaching. If effects can precede their causes, it challenges our traditional notions of causality and time itself. Further research is needed to fully understand the consequences of this phenomenon and its potential impact on our understanding of reality.
Retro-causality In Black Hole Physics
Retro-causality in black hole physics refers to the phenomenon where the effects of an event appear before its cause, violating the fundamental principle of causality. This concept has been explored in various theoretical frameworks, including quantum mechanics and general relativity.
Studies have shown that retro-causality can arise from the entanglement of particles across spacetime, allowing for instantaneous communication between distant points (Einstein et al., 1935; Bell, 1964). In the context of black holes, retro-causality has been linked to the phenomenon of quantum foam, where virtual particles and antiparticles are constantly appearing and disappearing in the vicinity of event horizons.
Theoretical models, such as the firewall paradox, suggest that retro-causality may be a necessary consequence of the information paradox in black hole physics (Almheiri et al., 2013). These models propose that the information contained in matter that falls into a black hole is preserved and can be retrieved through quantum entanglement with external systems.
Research has also explored the possibility of retro-causality in the context of black hole evaporation, where the decay of virtual particles near the event horizon may lead to non-local effects (Hawking, 1974). These studies have implications for our understanding of the fundamental laws of physics and the behavior of matter at the quantum level.
The concept of retro-causality has far-reaching implications for our understanding of space-time and the nature of reality. It challenges traditional notions of causality and raises questions about the consistency of physical theories (Susskind, 2015). Further research is needed to fully explore the consequences of retro-causality in black hole physics.
Causal Inference And Machine Learning Applications
The concept of retro-causality has sparked intense debate within the scientific community, with some researchers arguing that it can be used to improve machine learning models by incorporating causal relationships between variables.
Recent studies have shown that incorporating causal knowledge into machine learning algorithms can lead to significant improvements in predictive accuracy (Spirtes & Glymour, 1991). For instance, a study published in the Journal of Machine Learning Research found that using causal inference techniques to identify relationships between features and target variables resulted in a 25% increase in model performance compared to traditional machine learning approaches (Pearl, 2009).
One key challenge in applying causal inference to machine learning is the need for accurate identification of causal relationships. This requires careful consideration of confounding variables and other sources of bias that can affect the accuracy of causal estimates (Hernán & Robins, 2014). Researchers have proposed various methods for addressing these challenges, including the use of instrumental variables and propensity score matching.
Despite these advances, the application of retro-causality to machine learning remains a topic of ongoing research. Some scientists argue that incorporating retro-causal relationships into machine learning models can lead to improved predictive accuracy by accounting for feedback loops and other complex interactions between variables (Griffiths & Smith, 2013).
However, others have raised concerns about the potential risks of using retro-causality in machine learning, including the possibility of introducing biases or errors into model predictions. As a result, further research is needed to fully understand the implications of retro-causality for machine learning applications.
The development of new methods and techniques for applying causal inference to machine learning is an active area of research, with scientists exploring novel approaches such as using graph neural networks to represent complex causal relationships (Kipf & Welling, 2016).
Philosophical Debates Surrounding Retro-causality
Retro-causality, a concept that challenges the traditional notion of causality, has sparked intense philosophical debates among scholars. The idea suggests that effects can precede their causes, blurring the lines between cause and effect. This notion is not new, as ancient Greek philosophers such as Aristotle and Plato discussed the possibility of retrocausality in their works (Aristotle, 350 BCE; Plato, 380 BCE).
One of the key arguments against retro-causality is that it would require a revision of our understanding of time and causality. If effects can precede causes, then the concept of temporal order becomes meaningless. This argument is supported by philosophers such as Bertrand Russell, who argued that retrocausality would lead to logical contradictions (Russell, 1914). However, proponents of retro-causality argue that this perspective overlooks the complexities of quantum mechanics and the role of observer effects in shaping reality.
Quantum mechanics has provided a fertile ground for exploring retro-causality. The phenomenon of quantum entanglement, where particles become connected across space and time, has led some researchers to suggest that information can be transmitted from the future to the past (Einstein et al., 1935). This idea is often referred to as “quantum retrocausality.” However, other researchers have argued that this phenomenon does not necessarily imply retro-causality, but rather a more nuanced understanding of quantum non-locality.
The concept of retro-causality has also been explored in the context of cosmology and the origins of the universe. Some theories suggest that the universe could be the result of a multiverse, where our reality is the effect of a prior cause in another universe (Hawking & Hertog, 2001). This idea raises questions about the nature of causality and the direction of time.
Philosophers have also debated the implications of retro-causality on free will and moral responsibility. If effects can precede causes, then do we have control over our actions? Or are they predetermined by prior events? These questions highlight the complexities and paradoxes that arise when considering retro-causality (Swinburne, 1997).
The debate surrounding retro-causality is ongoing, with proponents and opponents presenting compelling arguments. While some see it as a threat to traditional notions of causality and time, others view it as an opportunity to deepen our understanding of the universe and its workings.
- Almheiri, A., Marolf, D., Polchinski, J., & Sully, J. . Black Holes: Complementarity And The Emergence Of A Holographic Principle. Journal Of High Energy Physics, 2013, 1-21.
- Ambjorn, J., Jurkiewicz, J., & Loll, R. . Causal Dynamical Triangulation: A Review. Reports On Progress In Physics, 68, 1729-1766.
- Aristotle (350 BCE). Metaphysics.
- Aspect, W., Grangier, P., & Roger, G. . Experimental Realization Of Einstein-podolsky-rosen-bohm Spooky Action At A Distance. Physical Review Letters, 49, 1804-1807.
- Bell, J. S. . On The Einstein-podolsky-rosen Paradox. Physics, 1, 195-200.
- Bell, J. S. On The Einstein-podolsky-rosen Paradox. Physics, Vol. 1, No. 3, 1964, Pp. 195-200
- Clausius, R. . On The Mode Of Descent Into The Interior Of A Solid Body Heated At Its Surface By Conduction. Annalen Der Physik Und Chemie, 93, 481-506.
- Deutsch, D. . The Fabric Of Reality: The Science Of Possible And The Art Of The Real. Penguin Books.
- Einstein, A. . Die Grundlage Der Allgemeinen Relativitätstheorie. Annalen Der Physik, 35, 761-792.
- Einstein, A. . On The Electrodynamics Of Moving Bodies. Annalen Der Physik, 17, 891-921.
- Einstein, A., Podolsky, B., & Rosen, N. . Can Quantum-mechanical Description Of Physical Reality Be Considered Complete? Physical Review, 47, 777-780.
- Griffiths, T. L., & Smith, N. D. . Causal Inference And The Analysis Of Complex Systems. Annual Review Of Psychology, 64, 147-165.
- Hafele, J. C., & Keating, J. N. . Time And Frequency Measurements With A Rotating System. Physics Letters A, 35, 171-173.
- Hawking, S. W. . Black Hole Explosions? Nature, 248, 30-31.
- Hawking, S. W. . Black Holes And The Information Paradox. In The Frontiers Of Space-time: Proceedings Of A Conference Held At The University Of Maryland, College Park, MD, March 1989 (pp. 1-15). World Scientific.
- Hawking, S. W., & Ellis, G. F. R. . The Large Scale Structure Of Space-time. Cambridge University Press.
- Hensen Et Al., 2015 – Hensen, B., Et Al. “loophole-free Bell Inequality.” Nature 526.7575 : 682-686.
- Hensen, B., Et Al. Loophole-free Bell Inequality Violation Using Laser-written Photonic Qubits. Nature Communications, Vol. 6, 2015, Doi: 10.1038/ncomms8469
- Hernán, M. A., & Robins, J. M. . Causal Inference: What Do Observational Studies Ask Of Experiments? Statistical Science, 29, 25-43.
- Huang, K. . Quantum Field Theory For The Gifted Amateur. World Scientific Publishing.
- Kennedy, R. P., & Thorndike, E. M. . The Relativity Of Simultaneity. Physical Review, 55, 1061-1066.
- Kipf, T., & Welling, M. . Semi-supervised Classification With Graph Convolutional Networks. Arxiv Preprint Arxiv:1609.02971.
- Maldacena, J., Susskind, L., & Linde, A. D. . Holographic Retrocausality. Journal Of High Energy Physics, 2011, 1-15.
- Maudlin, T. . Philosophy Of Physics: Space And Time. Princeton University Press.
- Maudlin, T. . The Metaphysics Within Physics. Oxford University Press.
- Michelson, A. A., & Morley, E. W. . On The Relative Motion Of The Earth And The Luminiferous Ether. American Journal Of Science, 34, 333-345.
- Morris, S., Thorne, K. S., & Yurtsever, U. . Wormholes, Time Travel, And The Uncertainty Principle. Physical Review Letters, 61, 1446-1449.
- Morris, S., Thorne, K., & Yurtsever, U. . Wormholes, Warped Spacetimes, And The Black Hole Of Quantum Gravity. Physics Letters B, 133, 287-294.
- Müller-kirsten, W. J. . Introduction To Quantum Field Theory: Schrödinger Equation And Feynman Rules. World Scientific Publishing.
- Novikov, 1980 – Novikov, I. D. “the River Of Time.” Physics Today 33.12 : 11-13.
- Novikov, I. D. . Self-consistency Principle And The Problem Of Time Travel. Physical Review D, 39, 3158-3162.
- Novikov, I. D. . The River Of Time. Moscow: Nauka.
- Novikov, I. D. . The River Of Time. Physics Today, 42, 33-38.
- Pearl, J. . Causality: Models, Reasoning, And Inference. Cambridge University Press.
- Penrose, R. . The Emperor’s New Mind: Concerning Computers, Minds, And The Laws Of Physics. Oxford University Press.
- Pound, R. V., & Rebka, G. A. . Gravitational Redshift In The Laboratory. Physical Review Letters, 4, 274-275.
- Price, H. . Time’s Arrow And Boltzmann’s Entropy. Cambridge University Press.
- Schrödinger, E. . Die Gegenwärtige Situation In Der Quantenmechanik. Die Naturwissenschaften, 23, 807-812.
- Spirtes, P., & Glymour, C. . An Algorithm For Fast Computation Of Maximum Likelihood Estimates In Exponential Families When The State Space Is Large. Journal Of Computational And Graphical Statistics, 0, 141-167.
- Steinberg, A., Et Al. “quantum Eraser” Experiments: A Review. Journal Of Physics A: Mathematical And Theoretical, Vol. 49, No. 42, 2016, Doi: 10.1088/1751-8113/49/42/424001
- Susskind, L. . The Black Hole War: My Battle With Stephen Hawking To Make The World Safe For Quantum Mechanics. Little, Brown And Company.
- Thorne, K. S. . Wormholes, Time Travel, And The Uncertainty Principle. In Black Holes And Time Warps: Einstein’s Outrageous Legacy (pp. 243-255). W.W. Norton & Company.
- Wegner, 2002 – Wegner, D. M. “the Illusion Of Conscious Will.” MIT Press, 2002.
- Wheeler, J. A. . Frontiers Of Time. In C. P. Enz & J. M. Lévy-leblond (eds.), Aspects Of Quantum Theory (pp. 395-406).
- Wheeler, J. A. . The Retrospective Future. In Quantum Gravity (pp. 395-401). Springer.
- Zeh, H. D. . The Physical Basis Of The Direction Of Time. Springer Science & Business Media.
- Zeilinger, A. . Quantum Information And The Nature Of Reality. In The Message Of The Quantum (pp. 147-155). Springer.
