vol 7: Notes
2007
Sunday 19 August
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... to restore theology to the mainstream of science
Notes
[Notebook: DB 61 Warm]
[Sunday 19 August 2007 - Saturday 25 August 2007]
[page 149]
Sunday 19 August 2007
Christianity is a massive application of carrots and sticks.
Our society is based on a set of common law fictions that have been established by judges over the ages. These fictions have a strong empirical base, in that they have been contrived by judges at the coal face in order to capture in words what they feel in their hearts to be meet and just.
One of these fictions is that the unity of a community
[page 150]
can be embodied in a sovereign whose particular role is to represent the community as a whole. From this idea we get subsidiary fictions such as that all land is held by the crown and a criminal offense against an individual is an offense against the crown.
The multiplicity of nations implies a multiplicity of sovereigns and leads naturally to the idea of a sovereign sovereign (= god) whose nature is shared to a lesser extent by lesser sovereigns.
In our history the archetypal sovereign is the Pope, who wears a triple crown:
Accipe thiaram tribus coronis ornatam, et scias te esse Partrem Principum et Regnum, Rectorem Orbis, in terra Vicarium Salvatoris Nostri Jesu Christi cui est honor et gloria in saecula sauculorum.'
[Receive the tiara adorned with three crowns and know thou art Father of Princes and Kings, Ruler of the world, Vicar of Our Saviour Jesus Christ in earth, to whom honour and glory in the ages of ages.'] Papal Tiara - Wikipedia
Henry VIII Henry VIII
God has yet to come up with something better than sex.
Monday 20 August 2007
d'Espagnat page 128: 'at least some properties of the world have an existence independent of human observers'. d'Espagnat
Every observation is a meeting of two systems which contribute equally to the outcome, eg a go-no go gauge and a part.
[page 151]
Realism - it takes 2 to be realistic.
Inference - the same initial conditions can
lead to different outcomes of there is not the variety requisite to
control the outcome. Ashby
separability - maybe uncoded messages are instantaneous, ie
they do not see space.
A complete basis does not need coding because it cannot go wrong. It covers every possibility and none of the possibilities is an error.
Quantum mechanics differs from local realistic theories: 'It follows that local realistic theories are almost certainly in error. The three premises on which these theories are founded are essential to a common sense interpretation of the world. ... ' d'Espagnat page 128
Only the 'geometric' common sense. They seem consistent with the communication model: a) communication takes 2; b) no amount of description can completely constrain a real world outcome; c)some forms of communication are faster than others so we see the hammer hit the nail before we hear it.
Einstein Podolsky Rosen deals with correlations between distant events. Einstein, Podolsky and Rosen (1935), Einstein, Podolsky and Rosen (PDF)
d'Espagnat page 130: All correlations in the universe can be attributed to a common cause antecedent to the measurement, insofar as the universe is one entity.
page 131: 'In the literature of quantum mechanics . . . there are numerous arguments all purporting to show that correlations and differences need not exist until they are measured,'
[page 152]
Tuesday 21 August 2007
Digital computation can be performed with exact precision because physical realizations of its binary digits can be made effectively orthogonal by engineering design and error correcting software. Quantum computation, since it is essentially an analogue process, is much more difficult to engineer. so that the error correcting overhead becomes very burdensome. Nevertheless it is possible at some level, and co can gradually bootstrap itself up to digital precision, as we see in the copying of DNA (1 error in 109 as opposed to 1 in 1018 in a pretty ordinary silicon processor [?].)
Timing is of the essence. In addition to the spatial separation of the symbols involved in an operation they must also be temporally separated. An essential component of a digital computer is the digitization of time, based on a clock. The clock serves to hide the physical (analogue) transitions in the digital computer, leaving us with purely logical states.
Maxwell's Angel = capital = zero entropy energy.
Bank makes its money like a black hole, by taking in lots of little sums (high entropy money) and consolidating [them] into large chunks - (low entropy money). Low entropy has value, the price of mosey.
Maxwell's Demon : a worker
Maxwell's Angel : capital
[page 153]
The initial singularity and black holes are the physical capital of the world, the unify organizing principle.
Quantum mechanics tells us that confinement breeds structure - the energy momentum levels of a potential well. In a more general way, the very unity of the universe (confining it to consistency) is the source of its structure.
Why does the wave function 'collapse'? Why does anybody do anything? Because the motivation overcomes the resistance, as is the case of a 4 am pee on a frosty morning.
Translate this into quantum mechanics : POTENTIAL & ACTION
The 'effective basis' of a quantum measurement is the set of eigenvectors of the measurement operator.
Lonergan: something happens when it is virtually unconditioned, ie all inhibitions are removed. Lonergan
Wednesday 22 August 2007
Lo page 37: 'every entangled state of any number n of remove subsystems is non -local . . . The only states that are totally consistent with the EPR assumption are direct product states.' Lo, Popescu and Spiller
[page 154]
The Carnot cycle shows how effectively we can combine lots of small contributions into a large contribution, rather like a bank. ['probabilistically combine'; algorithmic combination can give 100% efficiency]
The universe has structure because it was (and remains a unity. Quantum mechanics reveals the mechanism by which unity generates structure. We start with a complete set of basis states.
You can't expect to understand a network by taking it to pieces. You cannot read all the traffic, but you can count it, and this is what quantum mechanics does. This is how we understand entanglement.
Nature 8 December 2005 Kimble. Chou
We are inside the universe and so must study it from the inside. The divine outside point of view is not available to us, or to anybody, including the universe itself. [we are in effect both outside the layers below us and inside the layers above us, which include God]
Aspect, Phys Rev Lett 49 1804 (1982 Aspect
Spin is the point at which Hilbert space and ordinary 4-space meet?
Nielsen page 46: '. . . e believe that the qubit model (and generalizations of it to higher dimensions, quantum mechanics in other words) is capable of describing every
[page 155]
physical system. Nielsen
The result you get depends on the basis you measured with (you preconceptions in other words). So with spin, measuring it with a z basis gives +_ 1, as does measurement with x and y.
So we have two contributions to any measured result. First the measuring instrument (which may define directions etc) and the 'fit' between the thing measured and the instrument. So how does the piece of wood fit my tape?
The past constrains the future; it is the capital of the future.
One cannot tell before the measurement what number the tape will read (otherwise why bother measuring it) although one can give an experienced guess 'by eye'.
'Quantum source' Nielsen page 54.
Schumacher's noiseless channel coding theorem. page 54
von Neumann entropy = Shannon entropy only if states are orthogonal. As long as they are not exactly parallel von Neumann tells is that we can communicate a little bit of information.,
In Bell states the joint basis is not necessarily orthogonal to any of the producing bases, so these vectors are indistinguishable.
Gavriel Segre: 'The No Cloning Theorem versus the Second Law of Thermodynamics'. Segre
Insofar as universal computation is reversible, it must preserve the garbage and so the universe becomes more complex. The universe is simplified by erasure which costs entropy.
Segre page 8: 'Algorithmic physics is, by definition, that discipline analyzing physical processes looking at them as computational processes.
Hamiltonian flow = computational process.
Electronic structure of an atom (and all other struture) shows is that we cannot have structure without energy/momentum
Lo page 41: We prove many things (like Carnot's law) by appealing to the impossibility of perpetual motion. From the quantum mechanical point of view, however, anything with energy is in perpetual motion E = d psi/dt.
Lo page 42: 'The laws of nature are such that it is impossible to create (or increase) entanglement between remote quantum systems by local operations . . . Furthermore, a reversibles manipulation of entanglement - any reversible transformation consisting only of local operation, that transforms one entangled state into another, is analogous to a reversible heat engine.'
Reduce entanglement = increase entropy.
Thursday 23 August 2007
Friday 24 August 2007
Entropy is purely a matter of cardinal numbers so we can compute an entropy wherever we can count.
Low entropy, low count, confinement.
We have to show how networks increase and decrease entropy and move it around. [Carnot engine does this]
Network stores its entropy in a distributed (delocalized) way. [information theory says this is the only way to store information, as discrete identifiable symbols]
Advertising is intended to inform and motivate, and people will pay for it insofar as it pays them by selling their goods.
The power of order: by ordering we can vastly increase the count that can be represented by symbols, eg 1, 2, 3 can be made into . . . numbers from 1 to 321. So ordering or meaning can greatly increase entropy and so stabilize itself. Here we can see a connection between 'probabilistic' information (energy) and algorithmic information (momentum).
This fact has to connect in some way with the distinction between boson (cardinal) and fermion(ordinal) via the quantum mechanical formalism. [money attracts money = boson]
I have a problem seeing why Lorentz invariance is relevant to particle interactions insofar as when particles are interacting they are in the same rest frame and presumably the same Hilbert space, although the energy and momentum of the
[page 158]
interaction depend on the relative velocities and masses of the particles before they interact. [relative 4-momentum, a directed quantity]
When I was a child (and still in the building trade) I used to take the random arrangement of logs in the wood heap and make them into neat walls according to an idea I had conceived. Rather like an abstract plan to create order and life. Somewhere is here is a sort of gain. We see the same in the relationship of genetic codes to life.
ORDER - MEANING - TRANSLATION (TRANSCRIPTION)
Harry Potter and Wands : magical power resides in magical wands ie algorithmic information, ie definition of a Turing Machine or set of Turing machines (Universal Turing Machine). Such is the magic of religion and all its symbols. But the magic only works if there is a coupling between the algorithmic information and the physical system which is capable of implementing it, as a builder is the coupling between an idea in an architect's head represented by drawings and specifications and a building built to conform to the architect's ideas. In the magical world the wand is the builder.
. . .
Rowling, Hallows 399: 'Oh yes, if you are any wizard you will be able to channel your magic through almost any instrument. The best results, however, must always come when there is the strongest affinity between wizard and wand. These connections are complex. An initial attraction, and then a mutual
[page 159]
quest for experience, the wand learning from the wizard, the wizard from the wand.' Rowling
Jesus is not a human person but a symbol or symmetry in human space. To have algorithms, the symbols must be discrete and addressable and subject to interactions controlled at least by their own properties and possibly the properties of higher systems that are using them.
ALGORITHMIC ENTROPY = exp (PROBABILISTIC ENTROPY) [?]
This equation governs the creation of the world.
This book is devoted to explaining this one equation in excruciating detail, using Catholic Dogma as the false imitation of reality to be replaced by my superior product. Caveat lector. Know that I am broke and trying to write a best seller by showing that ancient and revered institution is a rotting hulk of delusion that loads enormous pain onto the world.
Let us draw a line from Homer to the Manhattan Project and pick out a gradient along that line. Homer laments that the will of the Gods is often that we kill one another. We are helpless before the gods, ad they are just as stupid as any fighting fucking bunch of wild humans. No doubt stories like these are just the codified version of very ancient oral stories dating from the origin of thought and language.
Then came the God of the Hebrews. There is only one of Him, so his act is much better coordinated.
[page 160]
The Christians, the first organized religion with an imperial business plan, preach the Gospel to the whole world.
Then the Papacy. Theology (Aquinas) God became rational and warlike. The bond between science, religion and war was forged. The Roman Catholic Church, in its quest for world domination, has pioneered all the marketing scams that so crowd our world.
Begin with the impossible product: face cream that makes you younger? Not likely. They say
a)death is not real; and
b) if you do what we say you will have another life of eternal bliss after you die.
How does it work? Oh, it is a mystery. Trade secret.
The same symbols maybe interpreted as algorithmic and probabilistic information, probabilistically by counting them, algorithmically by decoding them with some algorithm.
Insofar as quantum algorithms work perfectly they must work digitally, and by logic rather than by analogue arithmetic.
A matrix of minimal complexity (a 'gate') can be used to transform a complex qubit. The gates are the processor. At most a gate for processing a vector of length n has 2n **2 coefficients, and is held
[page 161]
to be able to simultaneously process all the elements in a superposition, as does a classical computer sequentially.
For many people now the old religions are quaint and obsolete myths. This may be so, but they still contribute heavily to the theories of governance by which the powers that be govern us. My starting point is Christianity as embodies in the Roman Catholic Church,
The fundamental premiss of the Church is that humanity and the universe as a whole are currently in a damaged condition because of the Original Sin recorded in the Book of Genesis.
Christianity revolved around the idea of a human sacrifice arranged by God to 'redeem' the world, that is to make satisfactory recompense to God for the original lese majeste. In particular, we are all held to be sinners only held in check by the paternal authority of a fatherly god acting through the Roman Catholic Hierarchy whose head the Pope claims an error free communication channel with God.
Saturday 25 August 2007
Relativity is so plainly and obviously right that it has taken it only a century to find itself at the centre of physics along with its equally ancient friend, quantum mechanics.
Sometimes I get quite excited thinking that this might
[page 162]
all come to something, ie I will be able to make a good living out of it.
This writing is a random event, like the emission or absorption of a photon, a system acting as a source.
We take algorithmic information to be error free and maximally compressed. The encoding and decoding and transmission of algorithmic information are deterministic processes like the writing and reading of mathematical papers by people who understand them perfectly or the processes in an error free digital computer. (Turing machine) Algorithmic information comes with meaning attached, which enables us to detect error.
Probabilistic information has no meaning but is simply a fluid to be transmitted from one placetime to another.
Further reading
Books
| Ashby, W Ross, An Introduction to Cybernetics, Methuen 1964 'This book is intended to provide [an introduction to cybernetics]. It starts from common-place and well understood concepts, and proceeds step by step to show how these concepts can be made exact, and how they can be developed until they lead into such subjects as feedback, stability, regulation, ultrastability, information, coding, noise and other cybernetic topics' Amazon back |
| Lo, Hoi-Kwong, and Tim Spiller, Sandra Popescu, Introduction to Quantum Computation and Information, World Scientific 1998 Jacket: 'This book provides a pedagogical introduction to the subjects of quantum information and computation. Topics include non-locality of quantum mechanics, quantum computation, quantum cryptography, quantum error correction, fault tolerant quantum computation, as well as some experimental aspects of quantum computation and quantum cryptography. A knowledge of basic quantum mechanics is assumed.' Amazon back |
| Lonergan, Bernard J F, Insight : A Study of Human Understanding (Collected Works of Bernard Lonergan : Volume 3), University of Toronto Press 1992 '... Bernard Lonergan's masterwork. Its aim is nothing less than insight into insight itself, an understanding of understanding' Amazon back |
| Nielsen, Michael A, and Isaac L Chuang, Quantum Computation and Quantum Information, Cambridge University Press 2000 Review: A rigorous, comprehensive text on quantum information is timely. The study of quantum information and computation represents a particularly direct route to understanding quantum mechanics. Unlike the traditional route to quantum mechanics via Schroedinger's equation and the hydrogen atom, the study of quantum information requires no calculus, merely a knowledge of complex numbers and matrix multiplication. In addition, quantum information processing gives direct access to the traditionally advanced topics of measurement of quantum systems and decoherence.' Seth Lloyd, Department of Quantum Mechanical Engineering, MIT, Nature 6876: vol 416 page 19, 7 March 2002. Amazon back |
| Rowling, J K, and Mary Grandpre (Illustrator), Harry Potter and the Deathly Hallows, Arthur A. Levine Books 2007 Amazon Reviews, Publishers Weekly' . . . . Instead, we're taking advantage of our public platform to praise Rowling for the excellence of her plotting. We can't think of anyone else who has sustained such an intricate, endlessly inventive plot over seven thick volumes and so constantly surprised us with twists, well-laid traps and Purloined Letter-style tricks. Hallows continues the tradition, both with sly feats of legerdemain and with several altogether new, unexpected elements. Perhaps some of the surprises in Hallows don't have quite the punch as those of earlier books, but that may be because of the thoroughness and consistency with which Rowling has created her magical universe, and because we've so raptly absorbed its rule Amazon back |
| Zurek, Wojciech H, Complexity, Entropy and the Physics of Information, Westview Press 1990 Physics of Information Information, Physics, Quantum: The Search for Links John Archibald Wheeler Information from Quantum Measurements Benjamin Schumacher Local Accessibility of Quantum States William K. Wootters The Entropy of Black Holes V. F. Mukhanov Some Simple Consequences of the Loss of Information in a Spacetime with a Horizon Shin Takagi Why is the Physical World so Comprehensible? P. C. W. Davies Laws of Physics and Laws of Computation Algorithmic Information Content, Church-Turing Thesis, Physical Entropy, and Maxwell's Demon W. H. Zurek Entropy and Information: How Much Information is Needed to Assign a Probability? Carlton M. Caves Complexity of Models J. Rissanen Laws and Boundary Conditions C. H. Woo How to Define Complexity in Physics, and Why Charles H. Bennett Complexity and Evolution Requirements for Envolvability in Complex Systems: Orderly Dynamics and Frozen Components Stuart A. Kauffman Valuable Information Seth Lloyd Non-equilibrium Polymers, Entropy, and Algorithmic Information Dilip K. Kondepudi The Dynamics of Complex Computational Systems Tad Hogg Computation at the Onset of Chaos James P. Crutchfield and Karl Young Physics of Computation Parallel Quantum Computation Norman Margolus Information Processing at the Molecular Level: Possible Realizations and Physical Constraints W. G. Teich and G. Mahler How Cheap Can Mechanics' First Principles Be? Tommaso Toffoli Intermittent Fluctuations and Complexity Xiao-Jing Wang Information Processing in Visual Perception A. Zee Probability, Entropy, and Quantum Thermodynamic Constraints on Quantum Axioms Asher Peres Entropy and Quantum Mechanics M. Hossein Partovi Einstein Completion of Quantum Mechanics Made Falsifiable O. E. Rössler Quantum Mechanics and Algorithmic Complexity J. W. Barrett Probability in Quantum Theory E. T. Jaynes Quantum Measurements and Entropy H. D. Zeh Quantum Theory and Measurement Quantum Mechanics in the Light of Quantum Cosmology Murray Gell-Mann and James B. Hartle Information Dissipation in Quantum Cosmology and the Emergence of Classical Spacetime Jonathan J. Halliwell The Quantum Mechanics of Self-Measurement David Z. Albert The Quantum-Classical Correspondence in Light of Classical Bell's and Quantum Tsirelson's Inequalities L. A. Khalfin Some Progress in Measurement Theory: The Logical Interpretation of Quantum Mechanics Roland Omnes Amazon back |
Papers
| Aspect, Alain, Jean Dailbard, Gerard Roger, "Experimental test of Bell's Inequalities Using Time-Varying Analyzers", Physical Review Letters, 49, 25, December 1982, page 1804-1807. 'Correlations of linear polarizations of pairs of photons have been measured with time-varying analyzers. The analyzer in each leg of the apparatus is an acousto-optical switch followed by two linear polarizers. The switches operate at incommensurate frequencies near 50 MHz. Each analyzer amounts to a polarizer which jumps between two orientations in a time short compared with the photon transit time. The results are in good agreement with quantum mechanical predictions but violate Bell's inequalities by 5 standard deviations.'. back |
| Chou, Chien-Wen , et al, "Measurement-induced entanglement for excitation stored in remote atomic ensembles", Nature, 438, 7069, 8 December 2005, page 828-832. Abstract: 'A critical requirement for diverse applications in quantum information science is the capability to disseminate quantum resources over complex quantum networks. For example, the coherent distribution of entangled quantum states together with quantum memory (for storing the states) can enable scalable architectures for quantum computation, communication and metrology. Here we report observations of entanglement between two atomic ensembles located in distinct, spatially separated set-ups. Quantum interference in the detection of a photon emitted by one of the samples projects the otherwise independent ensembles into an entangled state with one joint excitation stored remotely in 105 atoms at each site. After a programmable delay, we confirm entanglement by mapping the state of the atoms to optical fields and measuring mutual coherences and photon statistics for these fields. We thereby determine a quantitative lower bound for the entanglement of the joint state of the ensembles. Our observations represent significant progress in the ability to distribute and store entangled quantum states.'. back |
| d'Espagnat, Bernard, "Quantum theory and reality", Scientific American, 241, 5, November 1979, page 128-140. 'Most particles or aggregates of particles that are ordinarily regarded as separate objects have interacted at some time in the past with other objects. The violation of separability seems to imply that in some sense all these objects constitute an indivisible whole. Perhaps in such a world the concept of an independently existing reality can reatain some meaning, but it will be an altered meaning and one remove from everyday experience.' (page 140). back |
| Einstein, Albert, B. Podolsky, and N. Rosen,, "Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?", Phys. Rev., 47, , 1935, page 777-780. Abstract: 'In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the system. In quantum mechanics in the case of two physical quantities described by non-commuting operators, the knowledge of one precludes the knowledge of the oher. Then either (1) the description of reality given by the wave function is not complete or (2) these two quantities cannot have simultaneous reality. Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that has previously interacted with it leads to the reasult that if (1) is false then (2) is also false. One thus is led to conclude that the description of reality as given by a wave function is not complete.'. back |
| Peres, Asher, "Thermodynamic Constraints om Quantum Axioms", in Complexity, Entropy and the Physics of Information, edited by Wojciech H Zurek pp 345-356, , , , page . back |
Links
| Einstein, Podolsky and Rosen Can the Quantum Mechanical Description of Physical Reality be Considered Complete A PDF of the classic paper back |
| Henry VIII The Act of Supremacy 'THE ACT OF SUPREMACY (1534) Albeit, the King's Majesty justly and rightfully is and oweth to be the supreme head of the Church of England, and so is recognised by the clergy of this realm in their Convocations; yet nevertheless for corroboration and confirmation thereof, and for increase of virtue in Christ's religion within this realm of England, and to repress and extirp all errors, heresies and other enormities and abuses heretofore used in the same, Be it enacted by authority of this present Parliament that the King our sovereign lord, his heirs and successors kings of this realm, shall be taken, accepted and reputed the only supreme head in earth of the Church of England called Anglicana Ecclesia, and shall have and enjoy annexed and united to the imperial crown of this realm as well the title and style thereof, as all honours, dignities, preeminences, jurisdictions, privileges, authorities, immunities, profits and commodities, to the said dignity of supreme head of the same Church belonging and appertaining. And that our said sovereign lord, his heirs and successors kings of this realm, shall have full power and authority from time to time to visit, repress, redress, reform, order, correct, restrain and amend all such errors, heresies, abuses, offences, contempts and enormities, whatsoever they be, which by any manner spiritual authority or jurisdiction ought or may lawfully be reformed, repressed, ordered, redressed corrected, restrained or amended, most to the pleasure of Almighty God, the increase of virtue in Christ's religion, and for the conservation of the peace, unity and tranquillity of this realm: any usage, custom, foreign laws, foreign authority, prescription or any other thing or things to the contrary hereof notwithstanding. From Statutes of the Realm, III (spelling modernized) back |
| Muriel fraser - Concordat Watch The Vatican's triple crown: church, government and country 'Prof. John M. Swomley, St. Paul School of Theology, Kansas City, Missouri: "A concordat is a pact between the Vatican and a nation-state whereby the Vatican gains certain political and financial benefits in return for support of a policy or arm of the national government. Such a concordat in a nation with numerous Catholics is also helpful in getting their allegiance or in curbing opposition to the government.' back |
| Papal Tiara - Wikipedia Papal Tiara - Wikipedia, the free encyclopedia 'Symbolism of the Triple Tiara There is no certainty about what the three crowns of the Triple Tiara symbolise, as is evident from the multitude of interpretations that have been and still are proposed. Some link it to the threefold authority of the "Supreme Pontiff: Universal Pastor (top), Universal Ecclesiastical Jurisdiction (middle) and Temporal Power (bottom)".[12] Others interpret the three tiers as meaning "Father of princes and kings, Ruler of the world, Vicar of our Saviour Jesus Christ".[13] When popes were crowned, the following words were used: Accipe thiaram tribus coronis ornatam, et scias te esse Patrem Principum et Regum, Rectorem Orbis, in terra Vicarium Salvatoris Nostri Jesu Christi, cui est honor et gloria in sæcula sæculorum. (Receive the tiara adorned with three crowns and know that thou art Father of Princes and Kings, Ruler of the World, Vicar of Our Savior Jesus Christ in earth, to whom is honor and glory in the ages of ages.)' back |
| Segre The No Cloning Theorem versus the Second Law of Thermodynamics 'Asher pPeres' proof that a violation of the No Cloning Theorem would imply a violation of the Second Law of Thermodynamics is shown not to take into account the algorithmic information's contribution to the Thermodynamic Entropy of the semi-permeable membrances in Peres engine. back |
| Traditio - Coronation of Benedict XV, 1914 Traditio Traditional Roman Catholic Network Coronation of Pope Benedict XV in 1914 Scene in the Sistine Chapel of the Vatican As the Papal Crown Was Placed on the Head of Benedict XV Believed to Be the First Photograph of a Papal Coronation Since Paul VI in 1963, No Pope Has Been Crowned'The solemn moment has arrived. The Pope again ascends the throne, while the choir sings the antiphon, Corona aurea super caput ejus. The subdean of the Sacred College, Cardinal di Pietro, intones the Pater noster, and afterwards reads the prayer, Omnipotens sempiterne Deus, dignitas Sacerdotii, etc. The second deacon removes the mitre from the head of the Pontiff, and Cardinal Mertel approaches, bearing the tiara. Placing it on the head of the Pope, he says: Accipe thiaram tribus coronis ornatam, et scias te esse Patrem Principum et Regum, Rectorem Orbis, in terra Vicarium Salvatoris Nostri Jesu Christ, cui est honor et gloria in saecula saeculorum [Receive the tiara adorned with three crowns and know that thou art the father of princes and kings, the ruler of the world, the vicar on earth of Our Savior, Jesus Christ, to Whom is honor and glory for ever and ever.] back |
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