specularium

Rebel Physics

Peter J. Carroll

Latest Blog Post

  • Decblog 2022

    Decblog 2022

    Monkey Squabbles

    Has Britain reduced itself to an international laughingstock by replacing its Prime Minister twice and reversing all its policies in the space of a couple of months?

    Rather, I prefer to think that we have set a shining example to people living under ghastly systems of glorious authoritarian leadership the world over.

    Nevertheless, we do look set for a winter of discontent having demanded that the government print half a trillion pounds to subsidise furlough in lifesaving covid lockdown and to subsidise hiked fuel prices.

    Printing money effectively devalues the existing money, and it thus acts as a tax.

    As we have ended up with about 10% more money in circulation than goods and services, those goods and services will inevitably inflate in price making everyone 10% poorer for it.

    Now every faction and interest group argues that some other faction or interest group should take the hit rather than them.

    COP-out 27 - another monkey squabble

    It seems we have decided to throw a few peanuts to the worst affected members of our own species by way of a risible climate change compensation, and to carry on burning fossil fuels until it either becomes climactically catastrophic for us all, or clean energy becomes a cheaper way of fuelling our demented addiction to growth.

    The state of the nation, UK end 2022

    Some things do look a bit buggered. In an attempt to inflate property prices, provide cheap labour, and depress wages we have let another 500K people into these stupidly overcrowded islands. The costs of Covid Furlough, resisting Russian aggression, and Brexit have proved high but will prove worthwhile. Paradoxically everybody and his uncle wants a pay rise in excess of inflation - but nobody wants any more inflation………

    Yet on the bright, side over half the nation has managed to disabuse itself of the infantile delusions of religion. Have a look at the recently released the results of the 2021 census: -

    I note that the locations of my place of birth, Chateaux Chaos itself, and my holiday retreat all feature as hotspots of atheism. Cause or effect? I don’t know, but I do like to think that I can still deconsecrate a diocese at a hundred paces with a single chaobolt. London remains a bit of a worry, but the residues of religion there probably arise because of its >50% immigrant population, and in time our freethinking British culture will probably corrupt them.

    Putin

    The last Czar of the Russians must fall, and the corrupt neo-feudal despotism he has created from the ashes of Soviet communism must fall with him and become replaced by a prosperous free democracy. Putin has revealed himself as monstrously egocentric and deluded, inhumanly barbaric, and also geopolitically and militarily incompetent.

    Keep those conjurations coming. Support for him wanes as his hideous ambitions crumble.

    https://www.specularium.org/blog/item/349-putin-s-war

    Festive Gifts for the Illuminati.

    Royalties from the books funds the maintenance of this free Specularium website and its Arcanorium College facility. Thus, we unashamedly promote the books here. If you haven’t yet read the lot so far, then herewith a guide: -

    Liber Null & Psychonaut  and Liber Kaos. These two seminal books revolutionised the theory and practise of magic and they remain indispensable for the modern understanding of it.

    Psybermagick. This quirky book explores a variety of strange ideas in variously provocative, offensive, and humorous ways.

    The Apophenion and The Octavo. These two books explore the magical imagination and the magical creation of personal realities and the creation of useful gods and goddesses.

    The EPOCH. The great triple grimoire of elemental, planetary, and stellar magics embodies the only workable version of the Necronomicon ever brought to this world. This giant book comes replete with full colour illustrations and a separate deck of altar sized cards for evoking or invoking just about anything the magician may require.

    Interview with a Wizard. A book about almost everything, the distillation of a lifetime’s experience in 365 questions and answers, plus the probably correct alternative to the big bang theory in the appendix.

    (For all these books see the Publications pages on this site)

    Singularities?    

    Using a little known tool developed by Kurt Godel, one of the world’s most outstanding logicians who remains famous mainly for his Incompleteness Theorem and his decent into madness, I have created a seasonal present for the world, - a remedy for all those pesky singularities that plague our physics and our understanding of the universe.

    THE ANTI-SINGLARITY THEOREMS.

    We must remain highly suspicious of any theory which asserts that an infinite amount of any physical quantity exists. We can never observe an infinite quantity of anything, and we have no reason to suppose that an infinite quantity of anything can exist. The concept only arises when we introduce it by mistakenly assuming that something else has no limits or by erroneously dividing something by nothing.

    If spacetime and mass/energy have a mutual dependency, then we have no reason to assume that spacetime exists independently and infinitely beyond the presence of mass/energy.  

    Contemporary theoretical physics suffers from the delusion that mass/energy can become concentrated in an arbitrarily small volume, including zero volume. This has led to the assumption that black holes must contain singularities and that this universe arose from a zero dimensional singularity and the assumption that fundamental quanta can exist as zero dimensional point particles.

    The Schwarzschild  Solution of General Relativity: -

    r = 2Gm/c^2 shows that an event horizon at radius r will arise when a given mass m collapses to that radius under its own gravity creating a black hole.

    The Penrose-Hawking Singularity Theorems assert that nothing can prevent further collapse and thus that a spacetime singularity consisting of a zero-dimensional point of infinite density must inevitably form within any black hole.

    The Godel Solution of General Relativity: -

    w = 2sqrt(piGp) does however indicate that something will prevent the collapse of matter into spacetime singularities. 

     ‘Matter everywhere rotates relative to the compass of inertia with an angular velocity (w) of twice the square root of pi times the gravitational constant (G) times the density (p)’.

    As matter becomes denser, spacetime curvature increases and a compact body acquires a radius excess which gives it more volume on the inside than an outside observer would expect from its exterior radius by assuming 4/3 pi r^3 for flat Euclidian space.

    When a body contracts to r = 2Gm/pi c^2  (or pi r = 2Gm/c^2) the radius excess makes its internal ‘diameter’ equal to half of its circumference and the body becomes a Glome Hypersphere. With a volume of 2pi^2 r^3 or 2L^3/pi where L means antipode distance.

    The Godel Metric w = 2sqrt(piGp) then supplies the internal metric of such hyperspheres in the reference frame of internal observers, and it shows that such bodies must have an angular velocity w.

    Substituting hypersphere volume into the Godel metric shows that a Glome hypersphere will rotate with an angular velocity of pi c/L and hence a frequency f of c/2L and have balanced centripetal and centrifugal accelerations a of c^2/L.

    Given that: -    w = 2sqrt(piGp)w = 2pi f,   p = mass m/volume v,    2Gm/L = c^2

    And that hypersphere volume v = 2L^3/pi

    Then: -    w = 2sqrt(piGp),         w^2 = 4pi^2Gm/2L^3,            w^2 = pi^2c^2/L^2,

    w = pi c/L,        2pi f = pi c/L,      f = c/2L,    a = c^2/L.

    The mass inside a Glome hypersphere does not rotate as a simple sphere with a single axis of rotation, but rather it rotates about the randomly orientated axes of the Hopf Fibration.

    Hence such Glome Hyperspheres cannot contract any further because that would cause them to rotate faster than light. This falsifies the Penrose-Hawking Singularity Theorems for both black holes and the universe as a whole.

    If the mass of the universe remains constant, then so does its size, despite appearances. (See the Hypersphere Cosmology redshift-distance and hyperspherical lensing relationships.)

    Now if such hypersphere mechanics forbids the formation of spacetime singularities at cosmic and astronomical scales then it most likely also forbids the formation of fundamental zero dimensional point particles. Yet we cannot usefully regard quanta as miniature cannon balls.

    Quanta also have characteristic wavelengths many orders of magnitude greater than the antipode lengths suggested by L = 2Gm/c^2 for such particles. Yet the wavelengths of quanta have a directional quality which we most commonly observe in the direction of propagation rather than transverse to it.

    The following calculation shows that given the Planck-Einstein relationship E = hf and the Godel metric w = 2sqrt(piGp), quanta with mass have a definite volume: -

    Given that: -  E = hf,    w = 2sqrt(piGd),   w = 2pi f,   E = mc^2,   p = mass m/volume v

    Then: -      f = mc^2/h,         w = 2pi mc^2/h,         2pi mc^2/h = 2sqrt(piGm/v),  

    pi^2 m^2c^4/h^2 = piGm/v,       pi mc^4/h^2 = G/v,

    v = Gh^2/pi mc^4       

    This closely matches the Einstein-Cartan volume of a quantum ~ Gh^2/mc^4  (derived by other means).

    Thus, it seems probable that quanta embody a hyper-geometrical component in their probably variable dynamic geometry, rather than existing as simple 3-sphere Glome Hyperspheres. Rotating Hypertoruses of some kind may supply a solution. Research continues.

    As quanta have a spatial volume, then that volume sets yet another limit to the compressibility of matter and its maximum possible density. This also sets a minimum bound for the mass of any black hole.

    Merry Solstice, Alban Arthan, Mithrasmas, Christmas, or whatever; from Stokastikos, Pete.

    Written on Thursday, 01 December 2022 18:29 in Blog Read 324 times

Latest Games Post

  • Frontier Space War 4.

    FSW4-AD 2222. Humans have spread to surrounding star systems. Following squabbles insurrections and skirmishes, humanity has split into 5 ideological factions. The treaty of 2220 established the militarisation of occupied systems only and the de-militarisation of unoccupied systems and space areas. Peace ensued for two years until factions started building transportable fortresses and a technologically advanced alien race began moving into unoccupied systems and space areas and sought to forge alliances with various of the human factions. Conflicts over systems and control space areas then ensued.

    SHIP                      DICE                                    COST               

    Fortress                  20                                          6                      

    Hive                        20                                         4

    Battleship                12                                         6

    Serpent                  12                                         4

    Battlecruiser           10                                         5                                          

    Cruiser/Carriers       8                                         4                             

    Destroyer                 6                                         3                                                                

    Frigate                     4                                          2

    Fighter                     4                                         1(Imperials only)

     

    SURFACE UNITS            

    Garganaught           8                                        3

    Scorpion                8                                        2               

    Devastator               6                                       2

    Reaper                    4                                       1

    1) Turn sequence. Income, Production, Movements & Combats.

    2) Income of (5), 4, 3, 2, depending on system size. Income from any home system not occupied by enemy units, income from any other system occupied by own surface units.

    3) Production only on systems where a fortress has been planted. Income units can only move across uncontested (connected) pathways of any length. Ships appear in neighbouring uncontested space. Surface unit appear on systems.

    4) Movements & Combats.

    A) Ships may move from one area of space to an adjacent one. (Imperial Fighters can only move from one area of space to another in Carriers.) If it contains enemy ships, Combat will occur. The attacking side can elect to retreat to the space it came from, and the defending side can elect to retreat to any friendly occupied or unoccupied space at the beginning of any combat round after the first.

    B) Ships may fire on surface units in systems adjacent to the space they occupy. Combat occurs at the discretion of the attacking ships.

    C)  Ships may convey surface units between any two systems that border the space they occupy. Surface units may only be moved across one space area to another system in a turn. If surface units land on a system occupied by enemy surface units or fortresses Combat occurs.

    D) A fortress may land on a system not occupied by enemy forces, and assimilate its carrier.

    5) Combat. Risk Protocols. Up to 3Attack dice against 2Defence dice. by combat rounds, highest dice against highest dice, defenders win draws. Casualties at the discretion of each combatant.

    6) The number of pieces of each type supplied reflects the limits of units of that type that a civilisation can support.

    7) Initial Production Levels. Imperials 24, Aquarians 22, Chaoists 21, Darwinians 22, Soviets 22. No production on first move.

    8) Fortresses. All civilisations start with one immobile Fortress on their largest world, and one fortress in a carrier in a space adjacent to the homeworld. Civilisations may purchase additional Fortresses and Carriers to transport them to other systems. A Fortress only becomes operational when landed on a system empty of opposing assets and its Carrier has become assimilated and removed from the display. Fortresses can only defend and only when not in a Carrier. If attacked in a carrier only the carrier defends.

    9) Starting Conditions - Humans. 1 Fortress on homeworld, one next to it in space, all Cruisers, Destroyers, and Frigates deployed at will on any space territories adjacent to at least two home systems.

    Reapers equal in number to the production values of all home systems on those systems.   

    10) Victory Objectives, conquest of as many systems as possible.

     

    ALIENS. Special rules.

    2) Income. From any system occupied by a Hive or Scorpion.

    3) Production. At any system occupied by a Hive. (If connected)

    Mutations: (performed during production phase) Scorpion to Hive cost 2. Scorpion to Serpent cost 1. Serpent to Hive not possible. Free mutations, Hive to Scorpion, Serpent to Scorpion, Hive to Serpent.

    9) Starting Conditions. 1 Hive, 8 Serpents, 8 Scorpions, placed on any un-militarised treaty spaces or systems.

    ALLIANCES. 2 Player. Aliens pick any two allies but not Imperials, by picking an ideology to back. The Imperials then ally with the other two factions. Aliens then set up and move first. Play order then established by lot and proceeds clockwise or anticlockwise by lot. Allied ships but not surface forces may occupy the same areas.

     

    The following chart shows the ideological relationships of the five factions. The Aliens can pretend to any ideology to select a pair of allies. The Imperials will adjust their ideology to suit the allies they become left with.

                            

                           (Individualist)

                                      l

             Goths               l              Capitalists

                                      l

    (Mystical) ---------Imperials ------------(Rationalist)

                                      l                     

             Aquarians       l                 Soviets

                                      l

                             (Collectivist)

     

    Additional optional tournament rules.

    Tactical Attack dice bonus. D4+1, D6+2, D8+3, D10+3, D12+4.

    Tactical Defence dice bonus. D4+1, D6+2, D8+3, D10+3, D12+4, D20+5.

    Psychic Attack Bonus. Throw all attack dice twice, use highest score.

    Psychic Defence Bonus. Throw all attack dice twice, use highest score.

    Production bonuses. Add 1 or 2 to the income value of any system.

    Leader and Character pieces can be added to the game to add these powers to any forces on a system or space area.

    Written on Monday, 24 January 2022 13:51 in Games Read 3314 times

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