(Ink illustration on parchment). in the style of M.C. Escher, Dutch graphic artist, In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

shrew playing banjo in a grand concerto mausoleum, (ps1 style), <lora:ps1_style_SDXL_v2:1>, (game screenshot), (computer generated image), health bar with a stylized musical instrument in top left,

In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest sporadic simple group, having order 3 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 = 246 · 320 · 59 · 76 · 112 · 133 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71 ≈ 8×1053. The finite simple groups have been completely classified. Every such group belongs to one of 18 countably infinite families or is one of 26 sporadic groups that do not follow such a systematic pattern. The monster group contains 20 sporadic groups (including itself) as subquotients. Robert Griess, who proved the existence of the monster in 1982, has called those 20 groups the happy family, and the remaining six exceptions pariahs.

shrew playing banjo in front of a butcher shop, (ps1 style), <lora:ps1_style_SDXL_v2:1>, (game screenshot), (computer generated image)

shrew playing banjo in front of a butcher shop, (ps1 style), <lora:ps1_style_SDXL_v2:1>, (game screenshot), (computer generated image), health bar with a stylized musical instrument in top left, rhythm game

shrew playing banjo in Princess Peaches Castle, (ps1 style), <lora:ps1_style_SDXL_v2:1>, (game screenshot), (computer generated image), health bar with a stylized musical instrument in top left,

shrew playing banjo in Princess Peaches Castle, (ps1 style), <lora:ps1_style_SDXL_v2:1>, (game screenshot), (computer generated image), health bar with a stylized musical instrument in top left,

shrew playing banjo in a grand concerto mausoleum, (ps1 style), <lora:ps1_style_SDXL_v2:1>, (game screenshot), (computer generated image), health bar with a stylized musical instrument in top left,

vibrant environment, masterpiece, amazing, best quality, cinematic lighting, 8k Downe in yonder greene field, Downe a downe, hey downe, hey downe. There lies a Knight slain under his shield—with a downe. His hounds they lie downe at his feete So well do they their Master keepe With a downe derrie, derry, derry, downe, downe.

vibrant environment, masterpiece, amazing, best quality, cinematic lighting, 8k There were three Ravens sat on a tree, Downe a downe, hey downe, hey downe. They were as blacke as blacke could be—with a downe. Then one of them said to his mate, Where shall we our breakefast take? With a downe derrie, derry, derry, downe, downe.

In the area of abstract algebra known as group theory, the monster group M (also known as the Fischer–Griess monster, or the friendly giant) is the largest sporadic simple group, having order 3 808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 = 246 · 320 · 59 · 76 · 112 · 133 · 17 · 19 · 23 · 29 · 31 · 41 · 47 · 59 · 71 ≈ 8×1053. The finite simple groups have been completely classified. Every such group belongs to one of 18 countably infinite families or is one of 26 sporadic groups that do not follow such a systematic pattern. The monster group contains 20 sporadic groups (including itself) as subquotients. Robert Griess, who proved the existence of the monster in 1982, has called those 20 groups the happy family, and the remaining six exceptions pariahs.

The minimal degree of a faithful complex representation is 47 × 59 × 71 = 196,883, hence is the product of the three largest prime divisors of the order of M. The smallest faithful linear representation over any field has dimension 196,882 over the field with two elements, only one less than the dimension of the smallest faithful complex representation. The smallest faithful permutation representation of the monster is on 97,239,461,142,009,186,000 = 24·37·53·74·11·132·29·41·59·71 ≈ 1020 points. The monster can be realized as a Galois group over the rational numbers,[10] and as a Hurwitz group.[11] The monster is unusual among simple groups in that there is no known easy way to represent its elements. This is not due so much to its size as to the absence of "small" representations. For example, the simple groups A100 and SL20(2) are far larger but easy to calculate with as they have "small" permutation or linear representations. Alternating groups, such as A100, have permutation representations that are "small" compared to the size of the group, and all finite simple groups of Lie type, such as SL20(2), have linear representations that are "small" compared to the size of the group. All sporadic groups other than the monster also have linear representations small enough that they are easy to work with on a computer (the next hardest case after the monster is the baby monster, with a representation of dimension 4370). Computer construction

score_9, score_8_up, score_7_up, barbarian cannibal tribe of women,bloodthirtsy hunt, zPDXL2

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, And how we burned in the camps later, thinking: What would things have been like if every Security operative, when he went out at night to make an arrest, had been uncertain whether he would return alive and had to say good-bye to his family? Or if, during periods of mass arrests, as for example in Leningrad, when they arrested a quarter of the entire city, people had not simply sat there in their lairs, paling with terror at every bang of the downstairs door and at every step on the staircase, but had understood they had nothing left to lose and had boldly set up in the downstairs hall an ambush of half a dozen people with axes, hammers, pokers, or whatever else was at hand?... The Organs would very quickly have suffered a shortage of officers and transport and, notwithstanding all of Stalin's thirst, the cursed machine would have ground to a halt! If...if...We didn't love freedom enough. And even more – we had no awareness of the real situation.... We purely and simply deserved everything that happened afterward.

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, Two roads diverged in a yellow wood, And sorry I could not travel both And be one traveler, long I stood And looked down one as far as I could To where it bent in the undergrowth; Then took the other, as just as fair, And having perhaps the better claim, Because it was grassy and wanted wear; Though as for that the passing there Had worn them really about the same, And both that morning equally lay In leaves no step had trodden black. Oh, I kept the first for another day! Yet knowing how way leads on to way, I doubted if I should ever come back. I shall be telling this with a sigh Somewhere ages and ages hence: Two roads diverged in a wood, and I— I took the one less traveled by, And that has made all the difference.

vibrant environment, masterpiece, amazing, best quality, cinematic lighting, 8k There were three Ravens sat on a tree, Downe a downe, hey downe, hey downe. They were as blacke as blacke could be—with a downe. Then one of them said to his mate, Where shall we our breakefast take? With a downe derrie, derry, derry, downe, downe.

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, Kiss me out of the bearded barley Nightly, beside the green, green grass Swing, swing, swing the spinning step You wear those shoes and I will wear that dress Oh, kiss me beneath the milky twilight Lead me out on the moonlit floor Lift your open hand Strike up the band And make the fireflies dance Silver moon's sparkling So kiss me Kiss me down by the broken tree house Swing me upon its hanging tire Bring, bring, bring your flowered hat We'll take the trail marked on your father's map Oh, kiss me beneath the milky twilight Lead me out on the moonlit floor Lift your open hand Strike up the band And make the fireflies dance Silver moon's sparkling So kiss me Kiss me beneath the milky twilight Lead me out on the moonlit floor Lift your open hand Strike up the band And make the fireflies dance Silver moon's sparkling

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, Two roads diverged in a yellow wood, And sorry I could not travel both And be one traveler, long I stood And looked down one as far as I could To where it bent in the undergrowth; Then took the other, as just as fair, And having perhaps the better claim, Because it was grassy and wanted wear; Though as for that the passing there Had worn them really about the same, And both that morning equally lay In leaves no step had trodden black. Oh, I kept the first for another day! Yet knowing how way leads on to way, I doubted if I should ever come back. I shall be telling this with a sigh Somewhere ages and ages hence: Two roads diverged in a wood, and I— I took the one less traveled by, And that has made all the difference.

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, A cactus that is has human eyes growing from it.

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, A picture of a doorknob where the center is a perfect blue iris and pupil of a human eye.

vibrant environment, masterpiece, amazing, best quality, cinematic lighting, 8k His Hawks they flie so eagerly, Downe a downe, hey downe, hey downe. There's no fowl that dare him come near—with a downe. Downe there comes a fallow Doe, As great with young as she might go With a downe derrie, derry, derry, downe, downe.

(Ink illustration on parchment). in the style of M.C. Escher, Dutch graphic artist, In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

(Ink illustration on parchment). in the style of M.C. Escher, Dutch graphic artist, In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

(Ink illustration on parchment). in the style of M.C. Escher, Dutch graphic artist, In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

(Ink illustration on parchment). in the style of M.C. Escher, Dutch graphic artist, In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

score_9, score_8_up, score_7_up, barbarian cannibal tribe of women,bloodthirtsy hunt, zPDXL2

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, The lead scientist sat in the science station watching the live sensor data pour in. The experiment had been successful. She watched the planet surface consumed in inferno as the sulfurous atmosphere underwent continuous combustion. A large amount of catalyst, helpfully supplied by the Terrans in a hit and run mission, triggered it all. A unique mineral byproduct of the Quwerk missile production supply chain that had been dumped in large lakes on the surface sustained the reaction. Initial modeling had suggested it would take hours for this level of destruction, not mere seconds. She nearly jumped out of her skin when the lieutenant put his hand on her shoulder

vibrant environment, masterpiece, amazing, best quality, cinematic lighting, 8k She buried him before the prime, Downe a downe, hey downe, hey downe. She was dead her selfe ere evensong time—with a downe. God sent every gentleman, Such hawkes, such hounds, and such a leman With a downe derrie, derry, derry, downe, downe.

vibrant environment, masterpiece, amazing, best quality, cinematic lighting, 8k His Hawkes they flie so eagerly, Downe a downe, hey downe, hey downe. There's no fowle that dare him come nie—with a downe. Downe there comes a fallow Doe, As great with yong as she might go With a downe derrie, derry, derry, downe, downe.

vibrant environment, masterpiece, amazing, best quality, cinematic lighting, 8k His Hawkes they flie so eagerly, Downe a downe, hey downe, hey downe. There's no fowle that dare him come nie—with a downe. Downe there comes a fallow Doe, As great with yong as she might go With a downe derrie, derry, derry, downe, downe.

vibrant environment, masterpiece, amazing, best quality, cinematic lighting, 8k Downe in yonder greene field, Downe a downe, hey downe, hey downe. There lies a Knight slain under his shield—with a downe. His hounds they lie downe at his feete So well do they their Master keepe With a downe derrie, derry, derry, downe, downe.

Initially it was thought that although parity was violated, CP (charge parity) symmetry was conserved. In order to understand the discovery of CP violation, it is necessary to understand the mixing of neutral kaons; this phenomenon does not require CP violation, but it is the context in which CP violation was first observed. Neutral kaon mixing Two different neutral K mesons, carrying different strangeness, can turn from one into another through the weak interactions, since these interactions do not conserve strangeness. The strange quark in the anti-K0turns into a down quark by successively absorbing two W-bosons of opposite charge. The down antiquark in the anti-K0turns into a strange antiquark by emitting them.Since neutral kaons carry strangeness, they cannot be their own antiparticles. There must be then two different neutral kaons, differing by two units of strangeness. The question was then how to establish the presence of these two mesons. The solution used a phenomenon called neutral particle oscillations, by which these two kinds of mesons can turn from one into another through the weak interactions, which cause them to decay into pions (see the adjacent figure).These oscillations were first investigated by Murray Gell-Mann and Abraham Pais together. They considered the CP-invariant time evolution of states with opposite strangeness.

In particle physics, a kaon, also called a K meson and denoted K ,[a] is any of a group of four mesons distinguished by a quantum number called strangeness. In the quark model they are understood to be bound states of a strange quark (or antiquark) and an up or down antiquark (or quark). Kaons have proved to be a copious source of information on the nature of fundamental interactions since their discovery in cosmic rays in 1947. They were essential in establishing the foundations of the Standard Model of particle physics, such as the quark model of hadrons and the theory of quark mixing (the latter was acknowledged by a Nobel Prize in Physics in 2008). Kaons have played a distinguished role in our understanding of fundamental conservation laws: CP violation, a phenomenon generating the observed matter–antimatter asymmetry of the universe, was discovered in the kaon system in 1964 (which was acknowledged by a Nobel Prize in 1980). Moreover, direct CP violation was discovered in the kaon decays in the early 2000s by the NA48 experiment at CERN and the KTeV experiment at Fermilab.

In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

(Ink illustration on parchment). in the style of M.C. Escher, Dutch graphic artist, In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

(Ink illustration on parchment). in the style of M.C. Escher, Dutch graphic artist, In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

(Ink illustration on parchment). in the style of M.C. Escher, Dutch graphic artist, In abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also central to public key cryptography. The early history of group theory dates from the 19th century. One of the most important mathematical achievements of the 20th century[1] was the collaborative effort, taking up more than 10,000 journal pages and mostly published between 1960 and 2004, that culminated in a complete classification of finite simple groups.

The minimal degree of a faithful complex representation is 47 × 59 × 71 = 196,883, hence is the product of the three largest prime divisors of the order of M. The smallest faithful linear representation over any field has dimension 196,882 over the field with two elements, only one less than the dimension of the smallest faithful complex representation. The smallest faithful permutation representation of the monster is on 97,239,461,142,009,186,000 = 24·37·53·74·11·132·29·41·59·71 ≈ 1020 points. The monster can be realized as a Galois group over the rational numbers,[10] and as a Hurwitz group.[11] The monster is unusual among simple groups in that there is no known easy way to represent its elements. This is not due so much to its size as to the absence of "small" representations. For example, the simple groups A100 and SL20(2) are far larger but easy to calculate with as they have "small" permutation or linear representations. Alternating groups, such as A100, have permutation representations that are "small" compared to the size of the group, and all finite simple groups of Lie type, such as SL20(2), have linear representations that are "small" compared to the size of the group. All sporadic groups other than the monster also have linear representations small enough that they are easy to work with on a computer (the next hardest case after the monster is the baby monster, with a representation of dimension 4370). Computer construction

score_9, score_8_up, score_7_up, barbarian cannibal tribe of women,bloodthirtsy hunt, zPDXL2

score_9, score_8_up, score_7_up, barbarian cannibal tribe of women,bloodthirtsy hunt, zPDXL2

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, Kiss me out of the bearded barley Nightly, beside the green, green grass Swing, swing, swing the spinning step You wear those shoes and I will wear that dress Oh, kiss me beneath the milky twilight Lead me out on the moonlit floor Lift your open hand Strike up the band And make the fireflies dance Silver moon's sparkling So kiss me Kiss me down by the broken tree house Swing me upon its hanging tire Bring, bring, bring your flowered hat We'll take the trail marked on your father's map Oh, kiss me beneath the milky twilight Lead me out on the moonlit floor Lift your open hand Strike up the band And make the fireflies dance Silver moon's sparkling So kiss me Kiss me beneath the milky twilight Lead me out on the moonlit floor Lift your open hand Strike up the band And make the fireflies dance Silver moon's sparkling

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, I've got a bad reputation in this town It's something I can't live down I wish I could be what people want me to be But somehow I can't come around So you take your road and I'll take mine I'll drink the whisky and you drink the wine Cause that's the situation I've got a bad reputation I've got a bad reputation in this town People try to put me down They call me a loser A no good boozer And tell me I act like a clown Now if you don't like my face and style Don't waste time trying to tell me how Just show me and get your own bad reputation Yeah if you don't like my face and style Don't waste time tryin' to tell me how Just show me And get your own bad reputation A bad reputation You'll get a bad reputation Bad, bad reputation Such a shame You've got a bad reputation A bad reputation It's a bad bad bad bad reputation A bad reputation

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, And how we burned in the camps later, thinking: What would things have been like if every Security operative, when he went out at night to make an arrest, had been uncertain whether he would return alive and had to say good-bye to his family? Or if, during periods of mass arrests, as for example in Leningrad, when they arrested a quarter of the entire city, people had not simply sat there in their lairs, paling with terror at every bang of the downstairs door and at every step on the staircase, but had understood they had nothing left to lose and had boldly set up in the downstairs hall an ambush of half a dozen people with axes, hammers, pokers, or whatever else was at hand?... The Organs would very quickly have suffered a shortage of officers and transport and, notwithstanding all of Stalin's thirst, the cursed machine would have ground to a halt! If...if...We didn't love freedom enough. And even more – we had no awareness of the real situation.... We purely and simply deserved everything that happened afterward.

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, A massive tree with human eyes looking out from the trunk.

2000s vintage RAW photo, photorealistic, film grain, candid camera, color graded cinematic, eye catchlights, atmospheric lighting, macro shot, skin pores, imperfections, natural, shallow dof, A picture of a car where the tires are a perfect iris and pupil of a human eye.

Initially it was thought that although parity was violated, CP (charge parity) symmetry was conserved. In order to understand the discovery of CP violation, it is necessary to understand the mixing of neutral kaons; this phenomenon does not require CP violation, but it is the context in which CP violation was first observed. Neutral kaon mixing Two different neutral K mesons, carrying different strangeness, can turn from one into another through the weak interactions, since these interactions do not conserve strangeness. The strange quark in the anti-K0turns into a down quark by successively absorbing two W-bosons of opposite charge. The down antiquark in the anti-K0turns into a strange antiquark by emitting them.Since neutral kaons carry strangeness, they cannot be their own antiparticles. There must be then two different neutral kaons, differing by two units of strangeness. The question was then how to establish the presence of these two mesons. The solution used a phenomenon called neutral particle oscillations, by which these two kinds of mesons can turn from one into another through the weak interactions, which cause them to decay into pions (see the adjacent figure).These oscillations were first investigated by Murray Gell-Mann and Abraham Pais together. They considered the CP-invariant time evolution of states with opposite strangeness.

In particle physics, a kaon, also called a K meson and denoted K ,[a] is any of a group of four mesons distinguished by a quantum number called strangeness. In the quark model they are understood to be bound states of a strange quark (or antiquark) and an up or down antiquark (or quark). Kaons have proved to be a copious source of information on the nature of fundamental interactions since their discovery in cosmic rays in 1947. They were essential in establishing the foundations of the Standard Model of particle physics, such as the quark model of hadrons and the theory of quark mixing (the latter was acknowledged by a Nobel Prize in Physics in 2008). Kaons have played a distinguished role in our understanding of fundamental conservation laws: CP violation, a phenomenon generating the observed matter–antimatter asymmetry of the universe, was discovered in the kaon system in 1964 (which was acknowledged by a Nobel Prize in 1980). Moreover, direct CP violation was discovered in the kaon decays in the early 2000s by the NA48 experiment at CERN and the KTeV experiment at Fermilab.

In particle physics, a kaon, also called a K meson and denoted K ,[a] is any of a group of four mesons distinguished by a quantum number called strangeness. In the quark model they are understood to be bound states of a strange quark (or antiquark) and an up or down antiquark (or quark). Kaons have proved to be a copious source of information on the nature of fundamental interactions since their discovery in cosmic rays in 1947. They were essential in establishing the foundations of the Standard Model of particle physics, such as the quark model of hadrons and the theory of quark mixing (the latter was acknowledged by a Nobel Prize in Physics in 2008). Kaons have played a distinguished role in our understanding of fundamental conservation laws: CP violation, a phenomenon generating the observed matter–antimatter asymmetry of the universe, was discovered in the kaon system in 1964 (which was acknowledged by a Nobel Prize in 1980). Moreover, direct CP violation was discovered in the kaon decays in the early 2000s by the NA48 experiment at CERN and the KTeV experiment at Fermilab.

In particle physics, a kaon, also called a K meson and denoted K ,[a] is any of a group of four mesons distinguished by a quantum number called strangeness. In the quark model they are understood to be bound states of a strange quark (or antiquark) and an up or down antiquark (or quark). Kaons have proved to be a copious source of information on the nature of fundamental interactions since their discovery in cosmic rays in 1947. They were essential in establishing the foundations of the Standard Model of particle physics, such as the quark model of hadrons and the theory of quark mixing (the latter was acknowledged by a Nobel Prize in Physics in 2008). Kaons have played a distinguished role in our understanding of fundamental conservation laws: CP violation, a phenomenon generating the observed matter–antimatter asymmetry of the universe, was discovered in the kaon system in 1964 (which was acknowledged by a Nobel Prize in 1980). Moreover, direct CP violation was discovered in the kaon decays in the early 2000s by the NA48 experiment at CERN and the KTeV experiment at Fermilab.