Hermann Tilke is, I'm sure, a pleasant, compassionate human being, who loves his wife, dotes on his children, and is nice to his mum. And, if Hermann Tilke had become, say, a tax inspector rather than a Formula 1 circuit designer, then I'm sure that someone else, just like Hermann, would also have introduced a collection of bland, insipid, unimaginative, life-force draining circuits into Grand Prix racing. The trend in Formula 1 circuit design is determined by the economic logic of modern Formula 1, rather than the predilections of one particular German architect.
The revenue streams which drive modern Formula 1, are dependent upon maximising the exposure of mass television audiences to international brand-names. Such exposure requires: (i) ultra-safe circuits, in order that the sensitive modern audience will not be exposed to death or injury, and in order that those precious brand-values will not be damaged by association with death and injury; (ii) circuits which, from the perspective of television camera angles, maxmise the period of time over which a stable image is presented of the brand-names on cars and trackside banners; and (iii) circuits which minimise initial construction costs, given that the financial structure of modern Formula 1 entails that the individual circuits hosting Grands Prix struggle to make a profit.
There are only two types of classic motor racing circuit: those shaped by the topography of the natural landscape, and those shaped by the connectivity of a cityscape which has grown organically, rather than by means of urban planning. Classic circuits need gradient, camber, restricted fields of view, overhanging trees, irregular surfaces, and a variety of corner radii. And, crucially, classic cirucits need challenging corners. That means corners which penalise a driving error with a serious crash, not merely a trip across a tarmac apron.
None of which is of any concern to Hermann Tilke. One of Hermann's first tasks was to butcher the awe-inspiring natural curves of the Osterreichring, in Austria's Styrian mountains, into a flat, slow-corner dirge. Since then, he has presented us with abominations such as Bahrain and Shanghai, but was, I must acknowledge, lauded when the new Istanbul circuit contained a challenging fast, triple-apex left-hander...with a run-off area the size of Luxembourg.
Last week, the FIA GT championship raced in Argentina on a mountain circuit, Petrero de Los Funes (pictured), shaped by the lake in a volcanic caldera. The GT series organiser, Stephane Ratel, described the circuit in Autosport as "the Bathurst of South America," and explained: "From the beginning the idea was to have a very fast circuit. The legendary circuits are usually very fast, very challenging, natural circuits not designed by computers."
Not designed by computer: Imagine! Surely any serious person understands that the priority should be to maximise safety and revenue, and to design by means of the computer. Anything else is simply irresponsible.
Hermann Tilke Petrero de Los Funes
Saturday, November 29, 2008
Monday, November 24, 2008
Cosmogenic drift
According to current mathematical physics, there are many aspects of our physical universe which are contingent rather than necessary. These include such things as the values of the numerous free parameters in the standard model of particle physics, and the parameters which specify the initial conditions in general relativistic models of the universe. The values of these parameters cannot be theoretically derived, and need to be determined by experiment and observation.
Lee Smolin proposed that the values of these parameters can be explained by postulating that we live in a population of universes evolving by natural selection. He suggests that in those universes where black holes form, a child universe is created inside the event horizon of the black hole. Specifically, Smolin's proposal is that "quantum effects prevent the formation of singularities, at which time starts or stops. If this is true, then time does not end in the centers of black holes, but continues into some new region of space-time...Going back towards the alleged first moment of our universe, we find also that our Big Bang could just be the result of such a bounce in a black hole that formed in some other region of space and time." (The Life of the Cosmos, 1997, p93).
However, Smolin's scenario cannot explain why our universe is relativistic rather than non-relativistic, and it cannot explain why our universe is a quantum universe rather than a classical universe, because the occurrence of black holes requires a relativistic universe, and the occurrence of a 'bounce' inside the horizon of a black hole requires a quantum universe.
Smolin's hypothesis depends upon the assumption that there is a quantum relativistic universe at the outset. One can ask for an explanation of why there should be such a universe, rather than a universe in which, say, Newtonian gravity governs the large-scale structure of space-time, or in which classical mechanics and classical field theories govern the behaviour of any particles and fields which exist. The existence of a quantum relativistic universe seems to be contingent rather than necessary. There is, therefore, a need to explain the existence of a quantum relativistic universe.
My own proposal for such an explanation is to posit the existence of a random process, cosmogenic drift, which was responsible for the evolution of a quantum relativistic universe prior to the operation of cosmological natural selection.
In evolutionary biology it is known that evolution by natural selection is not the only important evolution process, and that in the absence of selection pressures, the evolution of a population will be dominated by random variations in the genome, a process called genetic drift. Similarly, the proposal made here suggests that the values of the parameters of physics cannot be wholly explained by cosmological evolution by natural selection. However, whilst genetic drift is a process which applies to a population of biological entities reproducing with inheritance and random mutation, the cosmological process postulated here is not restricted to reproducing entities, and in particular is postulated as a necessary prelude to the creation of a population of reproducing universes.
To best explain cosmogenic drift, we shall need a concept from evolutionary biology known as the fitness landscape. Each point on this landscape corresponds to a different combination of genes, and the height of the landscape at each point represents the average number of progeny, produced by an organism with that combination of genes, which themselves survive to reproduce. The height of the landscape therefore represents the 'fitness' of each possible genotype. Each progenitor produces offspring with genomes in a small neighbourhood of the progenitor's position in the landscape. In those parts of the landscape where selection pressures are weak, none of the progeny will have a greater fitness. When selection pressures are weak, the fitness landscape is therefore almost flat. Evolution of a biological population across a flat part of the fitness landscape will be driven by random diffusion. In contrast, in those parts of the landscape where selection operates, the landscape will possess gradient. In these parts of the landscape, some of the progeny produced within a small neighbourhood of one genotype will lie at a slightly greater height because they yield a greater number of progeny which themselves survive to reproduce. As a consequence, the population will come to be dominated by this new genotype, and will take a step-up to a slightly greater height in the fitness landscape. This is biological evolution by natural selection.
Smolin suggested that there is a cosmic fitness landscape analogous to the biological one, with each point corresponding to a combination of values for the parameters of physics, and the height at each point representing the number of progeny produced by a universe with that combination of parameters. I would like to extend this proposal by postulating that the lowest level of the cosmic fitness landscape is a flat region corresponding to all the possible types of universe which do not reproduce. Each point in the cosmic landscape here has a height of zero because none of these universes yield any progeny, and the landscape is flat because natural selection cannot operate in the absence of reproduction. Evolution does, nevertheless, occur in this part of the cosmic landscape. Universes, I propose, evolve by random diffusion in flat parts of the cosmic fitness landscape. In other words, universes which cannot reproduce evolve by cosmogenic drift. Eventually, however, a universe evolving by random cosmogenic drift will evolve into a quantum relativistic universe, a universe type capable of reproducing. The part of the cosmic fitness landscape containing universes capable of reproduction corresponds to a mountain in the landscape. Here there are gradients, and evolution by natural selection operates, as suggested by Smolin, in the same manner it operates in the biological fitness landscape.
Cosmogenic drift Cosmological natural selection Lee Smolin
Lee Smolin proposed that the values of these parameters can be explained by postulating that we live in a population of universes evolving by natural selection. He suggests that in those universes where black holes form, a child universe is created inside the event horizon of the black hole. Specifically, Smolin's proposal is that "quantum effects prevent the formation of singularities, at which time starts or stops. If this is true, then time does not end in the centers of black holes, but continues into some new region of space-time...Going back towards the alleged first moment of our universe, we find also that our Big Bang could just be the result of such a bounce in a black hole that formed in some other region of space and time." (The Life of the Cosmos, 1997, p93).
However, Smolin's scenario cannot explain why our universe is relativistic rather than non-relativistic, and it cannot explain why our universe is a quantum universe rather than a classical universe, because the occurrence of black holes requires a relativistic universe, and the occurrence of a 'bounce' inside the horizon of a black hole requires a quantum universe.
Smolin's hypothesis depends upon the assumption that there is a quantum relativistic universe at the outset. One can ask for an explanation of why there should be such a universe, rather than a universe in which, say, Newtonian gravity governs the large-scale structure of space-time, or in which classical mechanics and classical field theories govern the behaviour of any particles and fields which exist. The existence of a quantum relativistic universe seems to be contingent rather than necessary. There is, therefore, a need to explain the existence of a quantum relativistic universe.
My own proposal for such an explanation is to posit the existence of a random process, cosmogenic drift, which was responsible for the evolution of a quantum relativistic universe prior to the operation of cosmological natural selection.
In evolutionary biology it is known that evolution by natural selection is not the only important evolution process, and that in the absence of selection pressures, the evolution of a population will be dominated by random variations in the genome, a process called genetic drift. Similarly, the proposal made here suggests that the values of the parameters of physics cannot be wholly explained by cosmological evolution by natural selection. However, whilst genetic drift is a process which applies to a population of biological entities reproducing with inheritance and random mutation, the cosmological process postulated here is not restricted to reproducing entities, and in particular is postulated as a necessary prelude to the creation of a population of reproducing universes.
To best explain cosmogenic drift, we shall need a concept from evolutionary biology known as the fitness landscape. Each point on this landscape corresponds to a different combination of genes, and the height of the landscape at each point represents the average number of progeny, produced by an organism with that combination of genes, which themselves survive to reproduce. The height of the landscape therefore represents the 'fitness' of each possible genotype. Each progenitor produces offspring with genomes in a small neighbourhood of the progenitor's position in the landscape. In those parts of the landscape where selection pressures are weak, none of the progeny will have a greater fitness. When selection pressures are weak, the fitness landscape is therefore almost flat. Evolution of a biological population across a flat part of the fitness landscape will be driven by random diffusion. In contrast, in those parts of the landscape where selection operates, the landscape will possess gradient. In these parts of the landscape, some of the progeny produced within a small neighbourhood of one genotype will lie at a slightly greater height because they yield a greater number of progeny which themselves survive to reproduce. As a consequence, the population will come to be dominated by this new genotype, and will take a step-up to a slightly greater height in the fitness landscape. This is biological evolution by natural selection.
Smolin suggested that there is a cosmic fitness landscape analogous to the biological one, with each point corresponding to a combination of values for the parameters of physics, and the height at each point representing the number of progeny produced by a universe with that combination of parameters. I would like to extend this proposal by postulating that the lowest level of the cosmic fitness landscape is a flat region corresponding to all the possible types of universe which do not reproduce. Each point in the cosmic landscape here has a height of zero because none of these universes yield any progeny, and the landscape is flat because natural selection cannot operate in the absence of reproduction. Evolution does, nevertheless, occur in this part of the cosmic landscape. Universes, I propose, evolve by random diffusion in flat parts of the cosmic fitness landscape. In other words, universes which cannot reproduce evolve by cosmogenic drift. Eventually, however, a universe evolving by random cosmogenic drift will evolve into a quantum relativistic universe, a universe type capable of reproducing. The part of the cosmic fitness landscape containing universes capable of reproduction corresponds to a mountain in the landscape. Here there are gradients, and evolution by natural selection operates, as suggested by Smolin, in the same manner it operates in the biological fitness landscape.
Cosmogenic drift Cosmological natural selection Lee Smolin
Sunday, November 23, 2008
Nothing's plenty
With a tundric wind driving intermittent squalls of rain across the barren agriscape outside, I decided to stay inside today and re-read Ian Aitchison's excellent 1985 review of the concept of the vacuum in quantum field theory, (Contemporary Physics , Vol.26, No.4, pp333-391).
In the popular literature, the vacuum of quantum field theory is characterised as a seething torrent of evanescent 'virtual' particles, popping in and out of existence. It is crucial to appreciate, however, that there are different types of vacuum within quantum field theory. Firstly, there is the vacuum of a free field. The states of a free field are represented in quantum field theory by the elements of a vector space called a Fock space. The vacuum state of a free field is represented by a vector in Fock space with unique properties, called the vacuum vector. Then there is the vacuum state of an interacting field, which is not represented by the vacuum vector in any Fock space. In quantum electrodynamics, for example, there is: (i) the vacuum state of the electromagnetic field; (ii) the vacuum state of the electron field; and (iii) the vacuum state of the interacting electron-electromagnetic field, and all three are distinct.
The popular notion of the vacuum, with its innumerable collection of virtual particles, corresponds to the interacting vacuum, sometimes also called the 'dressed' vacuum. The experimentally detectable effects ascribed to the dressed vacuum are referred to as 'vacuum fluctuations'. However, the free-field vacuum is the only vacuum which is theoretically well-defined in quantum field theory. As Prugovecki states, "the actual computations performed in perturbation theory actually begin with expressions for [free-field states] states,...formulated in Fock space, and then progress through a chain of computations dictated by Feynman rules, which have no direct bearing to a mathematically rigorous realization of a non-Fock representation...Hence, in conventional QFT [quantum field theory] the existence of...a corresponding unique and global 'dressed vacuum', is merely a conjecture rather than a mathematical fact," (Principles of Quantum General Relativity, World Scientific, 1995, p198-199). Rugh and Zinkernagel concur, arguing that the popular picture of the production and annihilation of virtual particles in the 'interacting' vacuum, "is actually misleading as no production or annihilation takes place in the vacuum. The point is rather that, in the ground state of the full interacting field system, the number of quanta (particles) for any of the fields is not well-defined," (The quantum vacuum and the cosmological constant problem, 2002, p12, footnote 27.)
Aitchison's approach to virtual particles is to argue that they are basically a consequence of the so-called perturbative approach to the representation of interactions in quantum field theory. In quantum theory, the total energy of a system is represented by something called the Hamiltonian H. This Hamiltonian can be broken into a free Hamiltonian H0 and an interaction Hamiltonian HI:
H = H0 + HI
In quantum field theory, the free Hamiltonian is an operator defined upon Fock space. In quantum theory generally, an eigenstate of some operator represents a state of the system in which the quantity represented by that operator possesses a definite value. The vacuum vector in Fock space is the lowest energy eigenstate of the free Hamiltonian. There is another operator on Fock space called the particle number operator, and the vacuum vector is the zero eigenstate of this operator, indicating the presence of zero number of particles. Hence, the vacuum vector in Fock space represents both the lowest energy state of the free field, and the state in which zero particles exist. It is also the unique vector which is invariant under space-time translations; this guarantees that the choice of vacuum state is not dependent upon the position in space or time which the observer occupies.
Now, in perturbative quantum field theory, interactions are represented in Fock space, the state space for the free field, by also defining the interaction Hamiltonian HI as an operator on the Fock space. Aitchison argues that a (perturbative) interacting vacuum is an eigenstate of the full Hamiltonian H defined on the free field Fock space, and is therefore a superposition of the eigenstates of the free field Hamiltonian H0. The various eigenstates of the free field Hamiltonian are also eigenstates of the particle number operator, but an eigenstate of the full Hamiltonian is not. The number of particles in the ground state of the interacting system does not itself possess a definite number of particles, but rather is a superposition of all the definite particle number eigenstates of the free field Hamiltonian. According to Aitchison, the interacting vacuum contains arbitrary numbers of virtual particles only in the sense that the interacting vacuum is a superposition of definite particle number eigenstates of the free Hamiltonian. The so-called fluctuations of the interacting vacuum, are fluctuations over the free field eigenstates within the superposition. Virtual particle transitions appear not to conserve energy-momentum, and never appear in the incoming and outgoing states of a reaction, because reactions in perturbative quantum field theory are represented as transitions from free field eigenstates to interacting field eigenstates, and back again.
This is extremely illuminating, but Aitchison's interpretation needs to be treated with some caution. For a start, Haag's theorem demonstrates that a free-field Fock space cannot directly represent the interacting field vacuum, (see Earman and Fraser for an excellent discussion). Haag's theorem basically proves that a Fock space cannot possess the vacuum vector of a free-field and the vacuum vector of an interacting field. A vacuum vector is required to be invariant under space-time translations, and a Fock space possesses, up to phase, a unique translation-invariant vector. The Fock space vacuum vector cannot be the ground state of both the free Hamiltonian and the full Hamiltonian, and the vacuum vector is the unique vector invariant under space-time translations.
The ongoing absence of a mathematically well-defined representation of interacting quantum field systems, and the failure of string theory to provide a viable alternative, makes it very difficult to say anything meaningful about what the interacting quantum vacuum really is.
Vacuum energy Fock space Virtual particles
In the popular literature, the vacuum of quantum field theory is characterised as a seething torrent of evanescent 'virtual' particles, popping in and out of existence. It is crucial to appreciate, however, that there are different types of vacuum within quantum field theory. Firstly, there is the vacuum of a free field. The states of a free field are represented in quantum field theory by the elements of a vector space called a Fock space. The vacuum state of a free field is represented by a vector in Fock space with unique properties, called the vacuum vector. Then there is the vacuum state of an interacting field, which is not represented by the vacuum vector in any Fock space. In quantum electrodynamics, for example, there is: (i) the vacuum state of the electromagnetic field; (ii) the vacuum state of the electron field; and (iii) the vacuum state of the interacting electron-electromagnetic field, and all three are distinct.
The popular notion of the vacuum, with its innumerable collection of virtual particles, corresponds to the interacting vacuum, sometimes also called the 'dressed' vacuum. The experimentally detectable effects ascribed to the dressed vacuum are referred to as 'vacuum fluctuations'. However, the free-field vacuum is the only vacuum which is theoretically well-defined in quantum field theory. As Prugovecki states, "the actual computations performed in perturbation theory actually begin with expressions for [free-field states] states,...formulated in Fock space, and then progress through a chain of computations dictated by Feynman rules, which have no direct bearing to a mathematically rigorous realization of a non-Fock representation...Hence, in conventional QFT [quantum field theory] the existence of...a corresponding unique and global 'dressed vacuum', is merely a conjecture rather than a mathematical fact," (Principles of Quantum General Relativity, World Scientific, 1995, p198-199). Rugh and Zinkernagel concur, arguing that the popular picture of the production and annihilation of virtual particles in the 'interacting' vacuum, "is actually misleading as no production or annihilation takes place in the vacuum. The point is rather that, in the ground state of the full interacting field system, the number of quanta (particles) for any of the fields is not well-defined," (The quantum vacuum and the cosmological constant problem, 2002, p12, footnote 27.)
Aitchison's approach to virtual particles is to argue that they are basically a consequence of the so-called perturbative approach to the representation of interactions in quantum field theory. In quantum theory, the total energy of a system is represented by something called the Hamiltonian H. This Hamiltonian can be broken into a free Hamiltonian H0 and an interaction Hamiltonian HI:
H = H0 + HI
In quantum field theory, the free Hamiltonian is an operator defined upon Fock space. In quantum theory generally, an eigenstate of some operator represents a state of the system in which the quantity represented by that operator possesses a definite value. The vacuum vector in Fock space is the lowest energy eigenstate of the free Hamiltonian. There is another operator on Fock space called the particle number operator, and the vacuum vector is the zero eigenstate of this operator, indicating the presence of zero number of particles. Hence, the vacuum vector in Fock space represents both the lowest energy state of the free field, and the state in which zero particles exist. It is also the unique vector which is invariant under space-time translations; this guarantees that the choice of vacuum state is not dependent upon the position in space or time which the observer occupies.
Now, in perturbative quantum field theory, interactions are represented in Fock space, the state space for the free field, by also defining the interaction Hamiltonian HI as an operator on the Fock space. Aitchison argues that a (perturbative) interacting vacuum is an eigenstate of the full Hamiltonian H defined on the free field Fock space, and is therefore a superposition of the eigenstates of the free field Hamiltonian H0. The various eigenstates of the free field Hamiltonian are also eigenstates of the particle number operator, but an eigenstate of the full Hamiltonian is not. The number of particles in the ground state of the interacting system does not itself possess a definite number of particles, but rather is a superposition of all the definite particle number eigenstates of the free field Hamiltonian. According to Aitchison, the interacting vacuum contains arbitrary numbers of virtual particles only in the sense that the interacting vacuum is a superposition of definite particle number eigenstates of the free Hamiltonian. The so-called fluctuations of the interacting vacuum, are fluctuations over the free field eigenstates within the superposition. Virtual particle transitions appear not to conserve energy-momentum, and never appear in the incoming and outgoing states of a reaction, because reactions in perturbative quantum field theory are represented as transitions from free field eigenstates to interacting field eigenstates, and back again.
This is extremely illuminating, but Aitchison's interpretation needs to be treated with some caution. For a start, Haag's theorem demonstrates that a free-field Fock space cannot directly represent the interacting field vacuum, (see Earman and Fraser for an excellent discussion). Haag's theorem basically proves that a Fock space cannot possess the vacuum vector of a free-field and the vacuum vector of an interacting field. A vacuum vector is required to be invariant under space-time translations, and a Fock space possesses, up to phase, a unique translation-invariant vector. The Fock space vacuum vector cannot be the ground state of both the free Hamiltonian and the full Hamiltonian, and the vacuum vector is the unique vector invariant under space-time translations.
The ongoing absence of a mathematically well-defined representation of interacting quantum field systems, and the failure of string theory to provide a viable alternative, makes it very difficult to say anything meaningful about what the interacting quantum vacuum really is.
Vacuum energy Fock space Virtual particles
Friday, November 21, 2008
Slavica Ecclestone files for divorce
It's said that the only sure thing in Formula 1 is that Bernie never loses.
Given that Slavica may take between a third and a half of Bernie's $2 billion fortune, this may be the exception...
As The Times points out, it is not merely the divorce settlement itself, but the fact that the family's F1 ownership rights are in the name of Slavica. And this quote particularly intrigued me:
Friends of Mrs Ecclestone said she believed that her husband would be keen to avoid a legal battle in which his affairs would be pored over in open court..."She’s going to hang on to what she’s got," a friend said. "The settlement is going to be kept absolutely hush-hush. She’s got so much on him that he will not want to go to court."
Slavica Ecclestone
Given that Slavica may take between a third and a half of Bernie's $2 billion fortune, this may be the exception...
As The Times points out, it is not merely the divorce settlement itself, but the fact that the family's F1 ownership rights are in the name of Slavica. And this quote particularly intrigued me:
Friends of Mrs Ecclestone said she believed that her husband would be keen to avoid a legal battle in which his affairs would be pored over in open court..."She’s going to hang on to what she’s got," a friend said. "The settlement is going to be kept absolutely hush-hush. She’s got so much on him that he will not want to go to court."
Slavica Ecclestone
Wednesday, November 19, 2008
Lawrence Krauss on why there's something rather than nothing
In 1973, Ed Tryon proposed that the total energy of our universe might be zero, and that our universe might be a fluctuation of the quantum vacuum. This idea was adopted within inflationary cosmology by luminaries such as Alan Guth, who claim that the flat universe predicted by inflation is just such a universe of zero total energy. Today in New Scientist, a full 35 years after Tryon's proposal, Lawrence Krauss attempts to use this idea to explain why there is something rather than nothing:
"The key point...is that with zero total energy, Aquinas's puzzle is resolvable. And once the energy fluctuations of quantum mechanics are thrown into the mix, the idea of something arising from nothing can become not just possible, but necessary."
Tryon conjectured that all conserved quantities have a net value of zero for the universe as a whole, and, noting that in Newtonian theory the gravitational potential energy is negative, he proposed that there might be a sense in which the negative gravitational energy of the universe cancels the positive mass-energy.
Unfortunately, as I have pointed out in the past, Tryon’s idea runs aground on a fact that Guth himself mentions:
"In general relativity there is no coordinate-invariant way of expressing the [gravitational] energy in a space that is not asymptotically flat, so many experts prefer to say that the total energy is undefined," (footnote, p6). As Robert Wald also points out, "it has long been recognized that there is no meaningful local notion of gravitational energy density in general relativity," (p20).
Let us suppose, however, that this is merely a technical issue, which might ultimately be resolvable, and that there might be a well-defined sense in which the total energy of a flat universe is, indeed, zero. Even then, the notion that the universe was created by a fluctuation of the quantum vacuum, cannot explain why there is something rather than nothing, for the existence of the quantum vacuum pre-supposes the existence of a background space-time equipped with quantum fields in their vacuum states, and this is clearly far from being nothing.
Krauss anticipates that "Purists will argue that this begs the question of how the physical laws that make it all possible arose," but the immediate problem is more that the quantum vacuum, and the pre-existing space-time required by the quantum vacuum, are very much something.
Lawrence Krauss Ed Tryon Something rather than nothing Vacuum energy
"The key point...is that with zero total energy, Aquinas's puzzle is resolvable. And once the energy fluctuations of quantum mechanics are thrown into the mix, the idea of something arising from nothing can become not just possible, but necessary."
Tryon conjectured that all conserved quantities have a net value of zero for the universe as a whole, and, noting that in Newtonian theory the gravitational potential energy is negative, he proposed that there might be a sense in which the negative gravitational energy of the universe cancels the positive mass-energy.
Unfortunately, as I have pointed out in the past, Tryon’s idea runs aground on a fact that Guth himself mentions:
"In general relativity there is no coordinate-invariant way of expressing the [gravitational] energy in a space that is not asymptotically flat, so many experts prefer to say that the total energy is undefined," (footnote, p6). As Robert Wald also points out, "it has long been recognized that there is no meaningful local notion of gravitational energy density in general relativity," (p20).
Let us suppose, however, that this is merely a technical issue, which might ultimately be resolvable, and that there might be a well-defined sense in which the total energy of a flat universe is, indeed, zero. Even then, the notion that the universe was created by a fluctuation of the quantum vacuum, cannot explain why there is something rather than nothing, for the existence of the quantum vacuum pre-supposes the existence of a background space-time equipped with quantum fields in their vacuum states, and this is clearly far from being nothing.
Krauss anticipates that "Purists will argue that this begs the question of how the physical laws that make it all possible arose," but the immediate problem is more that the quantum vacuum, and the pre-existing space-time required by the quantum vacuum, are very much something.
Lawrence Krauss Ed Tryon Something rather than nothing Vacuum energy
Monday, November 17, 2008
Fugly F1 era begins at Barcelona
When I were a lad, the unveiling of a new F1 car would be an event of not mere technical interest, but an occasion of profound aesthetic appreciation. The days before the launch of a new car would be peppered with expectant thoughts, such as 'Will the new Williams be as beautiful as the FW07?'. The creation of a new F1 car was almost like the creation of a new, but extremely exclusive, mechanical species. On first sight, you knew that this was the shape and livery with which a pair of exotic technological phenotypes would contest that year's World Championship.
The last time, however, that I looked at a F1 car and thought that it was beautiful, was the early 1990s, and not only did the cars become less attractive to the eye, they also became increasingly undifferentiated as the regulations grew ever more constrictive. In 1998, the maximum width of the cars was reduced, grooved tyres became mandatory, and an F1 car became distinctly ill-proportioned.
For 2009, slick tyres are back, but the cars remain of post-1998 width, and now come equipped with a risible combination of wide front wings and narrow rear wings. This is surely the nadir of the F1 design aesthetic.
The last time, however, that I looked at a F1 car and thought that it was beautiful, was the early 1990s, and not only did the cars become less attractive to the eye, they also became increasingly undifferentiated as the regulations grew ever more constrictive. In 1998, the maximum width of the cars was reduced, grooved tyres became mandatory, and an F1 car became distinctly ill-proportioned.
For 2009, slick tyres are back, but the cars remain of post-1998 width, and now come equipped with a risible combination of wide front wings and narrow rear wings. This is surely the nadir of the F1 design aesthetic.
Thursday, November 13, 2008
Obama and education levels
Courtesy of John C.Baez, these diagrams appear to demonstrate a strong correlation in the US between a tendency to vote Republican and a lack of education. The first diagram indicates which US states voted for Obama (blue), and which states voted for McCain (red).
The second diagram represents the proportion of people with less than 9 years of education.
One exception I spotted was New Mexico, which has quite poor education levels, but voted for Obama. This, however, can perhaps be explained by the fact that Obama cultivated a large portion of the hispanic vote.
The second diagram represents the proportion of people with less than 9 years of education.
One exception I spotted was New Mexico, which has quite poor education levels, but voted for Obama. This, however, can perhaps be explained by the fact that Obama cultivated a large portion of the hispanic vote.
Leonardo da Vinci and the Large Hadron Collider
The principle of specialisation seems to dominate modern society, both economically and academically. Whilst we look upon the 'universal men' of the Renaissance with admiration, there seems to be little desire to emulate them.
Peter Burke has identified 15 such universal men, each of whom possessed a competency in three or more areas beyond that of a dilettante: Filippo Brunelleschi (1377-1446), architect, engineer, sculptor, painter; Antonio Filarete (1400-1465), architect, sculptor, writer; Leon Battista Alberti (1404-1472), architect, writer, medallist, painter; Lorenzo Vecchietta (1405/1412-1480), architect, painter, sculptor, engineer; Bernard Zenale (1436-1526), architect, painter, writer; Francesco di Giorgio Martini (1439-1506), architect, engineer, sculptor, painter; Donato Bramante (1444-1514), architect, engineer, painter, poet; Leonardo da Vinci (1452-1519), architect, painter, sculptor, scientist; Giovanni Giocondo (1457-1525), architect, engineer, humanist; Silvestro Aquilano (<1471-1504), architect, sculptor, painter; Sebastiano Serlio (1475-1554), architect, painter, writer; Michelangelo Buonarroti (1475-1564), architect, sculptor, painter, writer; Guido Mazzoni (<1477-1518), sculptor, painter, theatrical producer; Piero Ligorio (1500-1583), architect, engineer, sculptor, painter; and Giorgio Vasari (1511-1574), architect, sculptor, painter, writer, (Culture and Society in Renaissance Italy).
Whilst there are no modern counterparts to these individuals, CERN engineer Sergio Cittolin has made a series of drawings of the Compact Muon Solenoid at the Large Hadron Collider, in the style of Leonardo da Vinci. He's even written his notes in mirror-image cursive text, just like Leonardo!
Impressive.
Large Hadron Collider Leonardo da Vinci
Peter Burke has identified 15 such universal men, each of whom possessed a competency in three or more areas beyond that of a dilettante: Filippo Brunelleschi (1377-1446), architect, engineer, sculptor, painter; Antonio Filarete (1400-1465), architect, sculptor, writer; Leon Battista Alberti (1404-1472), architect, writer, medallist, painter; Lorenzo Vecchietta (1405/1412-1480), architect, painter, sculptor, engineer; Bernard Zenale (1436-1526), architect, painter, writer; Francesco di Giorgio Martini (1439-1506), architect, engineer, sculptor, painter; Donato Bramante (1444-1514), architect, engineer, painter, poet; Leonardo da Vinci (1452-1519), architect, painter, sculptor, scientist; Giovanni Giocondo (1457-1525), architect, engineer, humanist; Silvestro Aquilano (<1471-1504), architect, sculptor, painter; Sebastiano Serlio (1475-1554), architect, painter, writer; Michelangelo Buonarroti (1475-1564), architect, sculptor, painter, writer; Guido Mazzoni (<1477-1518), sculptor, painter, theatrical producer; Piero Ligorio (1500-1583), architect, engineer, sculptor, painter; and Giorgio Vasari (1511-1574), architect, sculptor, painter, writer, (Culture and Society in Renaissance Italy).
Whilst there are no modern counterparts to these individuals, CERN engineer Sergio Cittolin has made a series of drawings of the Compact Muon Solenoid at the Large Hadron Collider, in the style of Leonardo da Vinci. He's even written his notes in mirror-image cursive text, just like Leonardo!
Impressive.
Large Hadron Collider Leonardo da Vinci
Monday, November 10, 2008
Ferrari boss smashed TV!
I've been scanning the papers over the last week or so to find a message of congratulation from FIA President Max Mosley to Lewis Hamilton, Ron Dennis, and the McLaren team, for their achievement in winning this year's F1 World Championship. I'm still looking.
Nevertheless, I'm sure Max will be effusive in his praise at the official FIA prize-giving ceremony in December. Bernie Ecclestone was certainly generous in his comments to Ron Dennis, reminding him that the engine from Hamilton's car has yet to be inspected:
"I told Ron, 'Only you know if there's anything wrong with the engine and, if there isn't, you have got nothing to worry about and, if there is, then you had better start worrying,'."
One can only speculate what Mosley's thoughts were as he watched Hamilton and McLaren winning the World Championship at the final corner of the final race, but perhaps they were similar to those of Ferrari president Luca di Montezemolo, who has revealed that he smashed his television set in response:
"I broke the television, I must tell the truth," Reuters quoted di Montezemolo saying from a press conference at the Ferrari Finals in Mugello. "When a television breaks it makes a terrible bang.
"My daughter in the other room was given an awful fright. Luckily we had another television so I was able to watch the podium ceremony, which I enjoyed."
It's almost too good to be true.
Lewis Hamilton Max Mosley Luca di Montezemolo Ron Dennis Bernie Ecclestone
Nevertheless, I'm sure Max will be effusive in his praise at the official FIA prize-giving ceremony in December. Bernie Ecclestone was certainly generous in his comments to Ron Dennis, reminding him that the engine from Hamilton's car has yet to be inspected:
"I told Ron, 'Only you know if there's anything wrong with the engine and, if there isn't, you have got nothing to worry about and, if there is, then you had better start worrying,'."
One can only speculate what Mosley's thoughts were as he watched Hamilton and McLaren winning the World Championship at the final corner of the final race, but perhaps they were similar to those of Ferrari president Luca di Montezemolo, who has revealed that he smashed his television set in response:
"I broke the television, I must tell the truth," Reuters quoted di Montezemolo saying from a press conference at the Ferrari Finals in Mugello. "When a television breaks it makes a terrible bang.
"My daughter in the other room was given an awful fright. Luckily we had another television so I was able to watch the podium ceremony, which I enjoyed."
It's almost too good to be true.
Lewis Hamilton Max Mosley Luca di Montezemolo Ron Dennis Bernie Ecclestone
A proof of the non-existence of God
Carra
Alan Hansen, obviously distressed at our form, said the club was in danger of becoming a 'relic'. I had to ask people what the word meant, but I could tell from the tone of his voice that it wasn't a compliment.
I'm currently reading Jamie Carragher's autobiography, and a decent read it is too. Particularly interesting are Carragher's analysis of the Houllier years:
Illness cruelly deprived him of the sharp judgement that had led to swift early progress, but for three years he was a great Liverpool manager...I owe much of my success to him.
Nevertheless, Carragher provides some insight into Houllier's sometimes baffling judgement. Carragher played as a centre-back during the 1998-99 season, and acquitted himself extremely well. However, after one poor performance against Man. Utd the next season, "any faith Houllier had in me as a centre-back was gone for good...I still find the haste with which Houllier changed his mind about my best position puzzling...I spent the next couple of years fighting for a place at left- and right-back...I had few complaints at first because...it was a formality [Hyppia] and Stephane [Henchoz] would form a new partnership. But in later years when there were injuries or suspensions, I still wasn't considered a centre-back. Houllier would select Salif Diao, Igor Biscan or Djimi Traore ahead of me in the position, and just before he left the club he wanted to buy Jean-Alain Boumsong, and then Philippe Mexes from Auxerre, to play alongside Biscan. Phil Thompson would plead with Houllier to give me a chance back in the middle, but he was stubborn right until the last month of his reign, claiming I was a couple of inches too short for the role."
Elsewhere, Carragher recounts the general astonishment, and downright dejection, when the players learnt that Benitez had selected Kewell to play up front in the 2005 Champions League Final, pushing Gerrard back into central midfield, and dropping Hamann from the starting line-up: "'Harry is playing as a striker,' [said Gerrard], his voice almost quivering with disbelief."
But finally, I loved Carragher's recollection of the rendition given to You'll Never Walk Alone, as he walked out of the tunnel to begin the second-half of that famous game, 3-0 down:
It wasn't the usual version of our anthem though. There are different moments when The Kop summons Gerry Marsden's classic. Before every home game it's a deafening rallying cry, as if to inspire us to perform and frighten our opponents into submission. If we're winning in the closing stages of a huge match, it will be sung again, this time in celebration. But there are other occasions the words of the song have greater meaning, and at half-time in Istanbul the fans were singing it in sympathy more than belief. There was a slow, sad sound to it, almost as if it were being sung as a hymn.
And we all know what happened next...
I'm currently reading Jamie Carragher's autobiography, and a decent read it is too. Particularly interesting are Carragher's analysis of the Houllier years:
Illness cruelly deprived him of the sharp judgement that had led to swift early progress, but for three years he was a great Liverpool manager...I owe much of my success to him.
Nevertheless, Carragher provides some insight into Houllier's sometimes baffling judgement. Carragher played as a centre-back during the 1998-99 season, and acquitted himself extremely well. However, after one poor performance against Man. Utd the next season, "any faith Houllier had in me as a centre-back was gone for good...I still find the haste with which Houllier changed his mind about my best position puzzling...I spent the next couple of years fighting for a place at left- and right-back...I had few complaints at first because...it was a formality [Hyppia] and Stephane [Henchoz] would form a new partnership. But in later years when there were injuries or suspensions, I still wasn't considered a centre-back. Houllier would select Salif Diao, Igor Biscan or Djimi Traore ahead of me in the position, and just before he left the club he wanted to buy Jean-Alain Boumsong, and then Philippe Mexes from Auxerre, to play alongside Biscan. Phil Thompson would plead with Houllier to give me a chance back in the middle, but he was stubborn right until the last month of his reign, claiming I was a couple of inches too short for the role."
Elsewhere, Carragher recounts the general astonishment, and downright dejection, when the players learnt that Benitez had selected Kewell to play up front in the 2005 Champions League Final, pushing Gerrard back into central midfield, and dropping Hamann from the starting line-up: "'Harry is playing as a striker,' [said Gerrard], his voice almost quivering with disbelief."
But finally, I loved Carragher's recollection of the rendition given to You'll Never Walk Alone, as he walked out of the tunnel to begin the second-half of that famous game, 3-0 down:
It wasn't the usual version of our anthem though. There are different moments when The Kop summons Gerry Marsden's classic. Before every home game it's a deafening rallying cry, as if to inspire us to perform and frighten our opponents into submission. If we're winning in the closing stages of a huge match, it will be sung again, this time in celebration. But there are other occasions the words of the song have greater meaning, and at half-time in Istanbul the fans were singing it in sympathy more than belief. There was a slow, sad sound to it, almost as if it were being sung as a hymn.
And we all know what happened next...
Friday, November 07, 2008
Lewis Hamilton and schizophrenia
'Lewis Hamilton'. Discuss.
It's sometimes difficult to know if Lewis Hamilton is the new Ayrton Senna or the new Nigel Mansell. By common consent, Lewis drove immaculately in 2007, his rookie F1 season, until the final couple of races, when he made a couple of errors and threw away the championship. At the time, those errors were ascribed to inexperience, the impetuosity of youth, and the understandable anxiety of fighting to close out a championship. Strangely, however, Lewis carried his late-season 2007 form into 2008, and spent the entire year alternating between brilliance and bathos.
December's Motorsport magazine contains a Nigel Roebuck interview with Lewis, and constitutes the first serious interview Lewis has conducted with a specialist journalist. The interview seems to reveal that there are very much two Lewis Hamiltons. One is calm and rational in the McLaren way, rising above provocation; the other is emotional and easily provoked.
Lewis spends a fair portion of the interview talking about two things: (i) the incident at Spa in 2007, when then-teamate Alonso forced him off the road; and (ii) drivers who generally get in the way or try to intimidate and provoke.
Consider Lewis's comments about the first incident: "If I had...wanted to hold my position, we'd have crashed[...]But I'm not like that - I'm big enough to be able to walk away[...]You have to be a big man in a situation like that. I could have been, you know...'I don't care, I'm going into this corner flat out, do or die', just to make a point, but it just wouldn't have been a very smart thing to do, would it? I don't think you're losing out if you do back off in that situation - I think being a bigger man has many more positives, quite honestly."
Which is all fine and good, and one can almost hear Ron Dennis's calm, ethical guidance echoing like Obi Wan Kenobi in Lewis's head. However, Lewis then adds this:
"In the incident here at Spa last year, I said to myself, 'I know what he's just done to me', and it did knock me in a sense. I mean, if I'd got close to him, I would have gone up the inside, and he would have been on the grass - I would have put him into a position where he would have tried to turn, and I would have let him know that I was there...but still fair. Otherwise, though, I wasn't retaliating."
So, not retaliating then, and still playing fair, but nevertheless putting your team-mate off the road if the opportunity arises. There seems to be an element of the Dark Side of the Force creeping in here, and one senses that Lewis is often trying to talk himself into believing things that, deep down, he doesn't believe.
Consider then Lewis's comments on the general conduct of other drivers:
"On the track I've always been polite, I've never really got in people's way - although there are a lot of drivers who do, and I look at that calmly[...]I don't do that, but there are some idiots here, who'll stay in front of you to hold you up, or they'll back off into you, and the way I see it, they only do that because they see you as a threat - so in a way it's a kind of compliment, I suppose[...]I can kind of see through them. I don't think there are many who deliberately use intimidation tactics - well, there is one, but I'm not going to say who it is, because I don't want to speak negatively about any other driver. We've all got flaws, in one way or another. Mind you, I think a lot of them continue to ignore their flaws."
Bear in mind here that these comments were made before Lewis's Spa penalty, and before all the other drivers in the paddock came out and criticised Lewis's overtaking manoeuvre at Spa. In the wake of that criticism, Lewis drove an extremely robust race at Monza, chopping Alonso, putting Glock on the grass, and banging wheels with Webber. One felt watching that race that Lewis was racing with a very strong sense of injustice, and that it was pay-back time for those three drivers in particular. One can only speculate on which driver Lewis considers to be deliberately intimidative, but my money would be on Mr Webber, who appears to specialise in high-speed intimidation (see Webber vs. Massa, Fuji 2008 and Webber vs. Alonso, Suzuka 2005), and also had the temerity to deem Lewis a dangerous driver after Fuji this year.
A number of Lewis's errors this year seem to have been borne of emotion: he ran into Alonso in Bahrain because he was rattled at fluffing his start; he ran in Raikkonen in the pit-lane at Canada because he was rattled at losing the lead in the pit-stop; he made a mis-judgement in France because he was rattled at the injustice of receiving a penalty for the pit-lane incident; he mis-judged qualifying at Monza because he was rattled at the injustice of the Spa penalty; and he overshot at the first corner at Fuji because he was rattled at losing the lead to Raikkonen.
Lewis Hamilton is a proper racer. He loves overtaking, and loves sliding the rear end of the car through a corner. Nevertheless, there is fundamentally a tension in Lewis's driving persona between his rational side and his emotional side. The emotional side is opened up if he becomes the victim of injustice, either at the hands of the FIA, or at the hands of other drivers, and this emotional side skews Lewis's better judgement. In a sense, this is completely understandable, and one suspects that most of us would react in a similar fashion. However, as Nigel Roebuck remarks elsewhere in the same issue of Motorsport, "until [Hamilton] is more selective in when to go for it and when not, he will never be as good as he thinks he is".
Lewis Hamilton
It's sometimes difficult to know if Lewis Hamilton is the new Ayrton Senna or the new Nigel Mansell. By common consent, Lewis drove immaculately in 2007, his rookie F1 season, until the final couple of races, when he made a couple of errors and threw away the championship. At the time, those errors were ascribed to inexperience, the impetuosity of youth, and the understandable anxiety of fighting to close out a championship. Strangely, however, Lewis carried his late-season 2007 form into 2008, and spent the entire year alternating between brilliance and bathos.
December's Motorsport magazine contains a Nigel Roebuck interview with Lewis, and constitutes the first serious interview Lewis has conducted with a specialist journalist. The interview seems to reveal that there are very much two Lewis Hamiltons. One is calm and rational in the McLaren way, rising above provocation; the other is emotional and easily provoked.
Lewis spends a fair portion of the interview talking about two things: (i) the incident at Spa in 2007, when then-teamate Alonso forced him off the road; and (ii) drivers who generally get in the way or try to intimidate and provoke.
Consider Lewis's comments about the first incident: "If I had...wanted to hold my position, we'd have crashed[...]But I'm not like that - I'm big enough to be able to walk away[...]You have to be a big man in a situation like that. I could have been, you know...'I don't care, I'm going into this corner flat out, do or die', just to make a point, but it just wouldn't have been a very smart thing to do, would it? I don't think you're losing out if you do back off in that situation - I think being a bigger man has many more positives, quite honestly."
Which is all fine and good, and one can almost hear Ron Dennis's calm, ethical guidance echoing like Obi Wan Kenobi in Lewis's head. However, Lewis then adds this:
"In the incident here at Spa last year, I said to myself, 'I know what he's just done to me', and it did knock me in a sense. I mean, if I'd got close to him, I would have gone up the inside, and he would have been on the grass - I would have put him into a position where he would have tried to turn, and I would have let him know that I was there...but still fair. Otherwise, though, I wasn't retaliating."
So, not retaliating then, and still playing fair, but nevertheless putting your team-mate off the road if the opportunity arises. There seems to be an element of the Dark Side of the Force creeping in here, and one senses that Lewis is often trying to talk himself into believing things that, deep down, he doesn't believe.
Consider then Lewis's comments on the general conduct of other drivers:
"On the track I've always been polite, I've never really got in people's way - although there are a lot of drivers who do, and I look at that calmly[...]I don't do that, but there are some idiots here, who'll stay in front of you to hold you up, or they'll back off into you, and the way I see it, they only do that because they see you as a threat - so in a way it's a kind of compliment, I suppose[...]I can kind of see through them. I don't think there are many who deliberately use intimidation tactics - well, there is one, but I'm not going to say who it is, because I don't want to speak negatively about any other driver. We've all got flaws, in one way or another. Mind you, I think a lot of them continue to ignore their flaws."
Bear in mind here that these comments were made before Lewis's Spa penalty, and before all the other drivers in the paddock came out and criticised Lewis's overtaking manoeuvre at Spa. In the wake of that criticism, Lewis drove an extremely robust race at Monza, chopping Alonso, putting Glock on the grass, and banging wheels with Webber. One felt watching that race that Lewis was racing with a very strong sense of injustice, and that it was pay-back time for those three drivers in particular. One can only speculate on which driver Lewis considers to be deliberately intimidative, but my money would be on Mr Webber, who appears to specialise in high-speed intimidation (see Webber vs. Massa, Fuji 2008 and Webber vs. Alonso, Suzuka 2005), and also had the temerity to deem Lewis a dangerous driver after Fuji this year.
A number of Lewis's errors this year seem to have been borne of emotion: he ran into Alonso in Bahrain because he was rattled at fluffing his start; he ran in Raikkonen in the pit-lane at Canada because he was rattled at losing the lead in the pit-stop; he made a mis-judgement in France because he was rattled at the injustice of receiving a penalty for the pit-lane incident; he mis-judged qualifying at Monza because he was rattled at the injustice of the Spa penalty; and he overshot at the first corner at Fuji because he was rattled at losing the lead to Raikkonen.
Lewis Hamilton is a proper racer. He loves overtaking, and loves sliding the rear end of the car through a corner. Nevertheless, there is fundamentally a tension in Lewis's driving persona between his rational side and his emotional side. The emotional side is opened up if he becomes the victim of injustice, either at the hands of the FIA, or at the hands of other drivers, and this emotional side skews Lewis's better judgement. In a sense, this is completely understandable, and one suspects that most of us would react in a similar fashion. However, as Nigel Roebuck remarks elsewhere in the same issue of Motorsport, "until [Hamilton] is more selective in when to go for it and when not, he will never be as good as he thinks he is".
Lewis Hamilton
Tuesday, November 04, 2008
Quantization of Solace
Imagine, if you will, my disappointment: there I was, thinking that Quantum of Solace would be a thoughtful cinematic tract upon a new approach to psychology, and it turned out to be just another Bond film!
If classical, Newtonian psychology posits definite emotional states to people, then quantum psychology presumably accepts superpositions of different emotional states: people can be both happy and sad at the same time, according to quantum psychology. And whilst classical psychology assumes that the degree of an emotion lies on a continuum, quantum psychology suggests that emotions come in discrete lumps, such as a quantum of melancholy. Or a quantum of solace.
My initial confusion was only intensified when the film also appeared to suffer from a huge (quantized) degree of what can only be described as 'Bourne envy'. The first action sequence was a car chase filmed in exactly the style of a car chase from the Jason Bourne franchise, and the second action sequence, which was separated from the first by only the merest scintilla of plot, was a chase across the rooftops of a charming Southern European cityscape, filmed in the style of just such an escapade from the Bourne trilogy.
Truthfully, though, the film isn't as bad as many critics are suggesting. Bond goes around callously killing people because, (so I'm told), his girl died in Casino Royale, and there's no real plot to speak of, but it's all pretty exciting stuff.
My favourite bit, though, was a close-up of Judi Dench applying moisturiser. I've never seen moisturiser applied in a film before.
If classical, Newtonian psychology posits definite emotional states to people, then quantum psychology presumably accepts superpositions of different emotional states: people can be both happy and sad at the same time, according to quantum psychology. And whilst classical psychology assumes that the degree of an emotion lies on a continuum, quantum psychology suggests that emotions come in discrete lumps, such as a quantum of melancholy. Or a quantum of solace.
My initial confusion was only intensified when the film also appeared to suffer from a huge (quantized) degree of what can only be described as 'Bourne envy'. The first action sequence was a car chase filmed in exactly the style of a car chase from the Jason Bourne franchise, and the second action sequence, which was separated from the first by only the merest scintilla of plot, was a chase across the rooftops of a charming Southern European cityscape, filmed in the style of just such an escapade from the Bourne trilogy.
Truthfully, though, the film isn't as bad as many critics are suggesting. Bond goes around callously killing people because, (so I'm told), his girl died in Casino Royale, and there's no real plot to speak of, but it's all pretty exciting stuff.
My favourite bit, though, was a close-up of Judi Dench applying moisturiser. I've never seen moisturiser applied in a film before.
Saturday, November 01, 2008
Gotterdammerung
The history of F1 is an epic narrative of heroism and technical ingenuity, interwoven with tragedy, politics and greed. Emasculated by the nanny-state culture and top-down regulation of the modern world, the spectre of death no longer hangs over the sport, but it has developed into the most competitive technological arms-race on the planet. In fact, F1 is the most sophisticated, multi-dimensional cultural activity on the surface of the Earth; no other activity features the intense combination of sport, technology, politics, and business which defines F1. Teams with annual budgets of $500,000,000, employ wind-tunnels which operate 24/7, and supercomputers which perform 10,000,000,000,000 floating-point operations per second, to equip their drivers with the means to maximally extend their biological bipedal locomotive capabilities. Years of practice honing kinaesthetic sensitivities, sensory feedback loops, reaction speeds, spatial pattern recognition, racecraft, and mind management skills, will culminate tomorrow when Lewis Hamilton and Felipe Massa compete to achieve their respective lifetime ambitions.
It's just as well that the stewards of the Belgian Grand Prix stripped Lewis Hamilton of victory in that race, otherwise we wouldn't now be on the verge of another revenue-generating, mass television-audience finale to the F1 World Championship.
Would we Bernie?
Lewis Hamilton Bernie Ecclestone
It's just as well that the stewards of the Belgian Grand Prix stripped Lewis Hamilton of victory in that race, otherwise we wouldn't now be on the verge of another revenue-generating, mass television-audience finale to the F1 World Championship.
Would we Bernie?
Lewis Hamilton Bernie Ecclestone