https://matpitka.blogspot.com/2024/09/

Wednesday, September 11, 2024

Could the position of Mars have an effect on stock market?

In the group Unifying Physics, Anthony Moore (see this sent an extremely interesting link to his article published in Academia.edu (see this").

I glue below his own summary of his claimed findings.

"Before reading the content, it is important to take into account a recent study published in Nature Communications in March of 2024, roughly 5 years after this idea was first introduced to the public. In that study published in March of 2024, researchers discovered that Mars is exerting a gravitational pull on earth's tilt, exposing earth to warmer temperatures and more sunlight, all within a 2.4 million year cycle. I assert that this allows us to surmise that, even within smaller timeframes, Mars is still exerting a gravitational pull on earth's axial tilt, enough to raise temperatures and affect human behavior, even investor sentiment. Citing the fact of numerous studies that link irritability and negative mood states to warmer temperatures, I can establish an axiom. This perspective should help the reader move beyond the preconceived notion of absurdity and realize that this has scientific merit This paper lays out the 25 major stock market crashes and downturns in US history.

The data shows a 100 percent correlation between such events and Mars position in relation to earth. Every stock market crash and major stock downturn in US history has happened when Mars was orbiting behind the sun from earth’s point of view. When Mars is going further out from earth, it is also when Mars's gravity is pulling Earth’s axial tilt towards the sun, possibly bringing warmer temperatures, which should affect investor sentiment most negatively, presuming that warmer temperatures relative to the mean affect cognitive function and trigger some variant of irritability or pessimism. There are studies that corroborate this dynamic between warmer temperatures and negative mood states. As Mars gets closer to earth, Mars’s gravity is pulling earth’s axial tilt away from the sun, bringing presumably cooler temperatures, and less negative mood outcomes, which may explain why major stock market crashes never happen during that phase of Mars’s orbit."

These findings will be labelled as mere astrology by the mainstream. In the long run it is however very hard to deny simple facts. There is a lot of earlier data about unexpected correlations between planetary physics and human collective behavior. For instance, Russian physicist Shnoll carried his entire life's work by charting this kind of correlations at molecular and even nuclear physics level. In the standard physics framework, this kind of correlations in astrophysical scales are of course impossible.

It is deeply ironic that in the frontier of recent day theoretical physics, fashionable theories which do not have a slightest connection with reality, are sold as breakthroughs, and at the same time data flood from real world phenomena in blatant conflict with the existing views is neglected. This is what happens when career building becomes the main goal of the scientist.

In the TGD framework, the notion of field body (FB), which can be magnetic (MB) or electric (EB), changes the situation completely. Number theoretic view of TGD predicts that FB carries phases of the ordinary matter with very large values of effective Planck constant implying quantum coherence in astrophysical scales. Gravitational and electric fields in long scales are accompanied by a long length scale quantum coherence. There is evidence that the FBs of the Sun, planets and even the FB of the galaxy have effects on the behavior of biological systems and humans as conscious entities.

A long list of numerical miracles involving the masses of astrophysical objects appear in fundamental biology, supporting this view. For instance, EEG would be responsible for the communications to and control by the magnetic body of Earth. It is indeed difficult to understand why the organisms as master energy savers would spend a very large amount of metabolic energy to send information to outer space without any receiver. Furthermore, resonant EEG frequencies correspond to cyclotron frequencies for the associated "endogenous" magnetic field.

If really true, the findings of Moore are a revolutionary discovery. They would fit very nicely with the TGD view of quantum biology, which predicts that the magnetic bodies of the Sun and planets, in particular Mars, can affect biology and consciousness.

  1. Although Mars has no large-scale magnetic field, the monopole tubes of the gravitational magnetic body of Mars could connect Earth and Mars.
  2. The gravitational magnetic bodies of the Sun and planets carrying heff phases of ordinary particles behaving like dark matter, would control biomatter and receive information from it. The large distance of Mars when behind the Sun relative to Earth might reduce this control action.
  3. The reconnection of U-shaped flux tubes is the fundamental interaction mechanism in all scales and plays a key role for instance in bio-catalysis. Also now this mechanism would be naturally involved and it would become less probable when the distance of Mars from the Earth increases (it is roughly 5AU at the backside of the Sun and 1 AU at the front side). Therefore the quantum coherence scale for the Mars-Earth system would be reduced and could affect even collective behavior of humans and of biology in general.
  4. This explanation conforms with the intuition of Moore that the gravitational field of Mars is involved if gravitation is mediated by the radial U-shaped monopole flux tubes, for which the average density decreases as 1/r2, i.e. like gravitational flux. Now however the effect would be based on astrophysical quantum coherence of the gravitational field making possible effects on biology and consciousness.
See for instance this, this and this.

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.

Tuesday, September 03, 2024

Extension of Langlands geometric duality to trinity involving also physics-geometry correspondence

The master formula for TGD allowing construction of quantum states using the interpretation of space-time surfaces as numbers realizes the analog of geometric Langlands duality and generalizes it to a trinity. Geometric Langlands correspondence assigns to a pair of elements of a function field, which is a number theoretic object, a geometric object as algebraic surface having interpretation also as a Riemann surface with K\"ahler structure, twistor structure and spinor structure. This extends the number-theory-algebraic geometry duality to trinity and physics becomes the third part of a trinity.
  1. The most high level form of number theory corresponds to function fields, which are infinite-D structured. In TGD, the pairs (f1,f2) of two functions of generalized complex coordinates of H=M4×CP2 define a linear space and the functions fi are elements of a function field. This is the number theoretic side of the Langlands geometric duality.
  2. A function pair, whose root (f1,f2)=(0,0) defines a space-time surface in H and induces the number field structure of the function field to the space of space-time surfaces, "world of classical worlds" (WCW). Basic arithmetic operations of the number field apply to the component functions fi and induce corresponding operations for space-time surfaces in WCW. The notion of induction, which is the basic principle of TGD, is central also here. It is missing from standard physics and also string models.
  3. The root as a space-time surface obeys holography =holomorphy principle and is a minimal surface (as classical representation of generalized massless particle and massless field equations) and represents the geometry side of the geometric Langlands duality. This connection represents geometric Langlands duality in TGD. Riemannian geometries restricted to algebraic geometries is what makes the geometric Langlands duality possible.

    It is still unclear whether the choice of the classical action defining space-time surfaces and producing, apart from singularities, a minimal surface as an outcome, is only analogous to a choice of the coordinates and whether the recent choice (volume action + Kaehler action) is only the most convenient choice. If so, the laws of physics boil down to a completely action independent form, that is to the construction of quantum states induced by the products for space-time surfaces regarded as generalized numbers.

  4. Space-time surfaces as minimal surfaces with generalized complex structure and are extremals for any variational principle constructible in terms of the induced geometry since extremal property reduces to the generalized complex structure. The action makes itself visible only at the singularities.
  5. Langlands geometric duality becomes actually a trinity: number theory<-->geometry<--->physics. The number theory<-->geometry part of this trinity duality corresponds to Langlands geometric duality. The geometry<--->physics part is the TGD counterpart of Einstein's equations identifying geometry and physics.

See the article About Langlands correspondence in the TGD framework or the chapter with the same title.

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.

Space-time surfaces as numbers and construction of quantum states in terms of products of space-time surfaces

The exact solution of field equations of TGD in terms of holography=holomorphy vision and the recent progress in the understanding of the TGD view of Langlands correspondence allows to propose an explicit recipe, a kind of a master formula, for the construction of states describing the interaction in terms of generalized holomorphic algebraic geometry.

Space-time surfaces have the structure of number field

As I wrote the most recent article about the recent TGD view of Langlands correspondence (see this), I become convinced that the space-time surfaces indeed have a structure of a number field, induced by the structure of the function field formed by the analytic functions with respect to the four generalized complex coordinates of H= M4× CP2 (one of the coordinates is hypercomplex light-like coordinate). Function fields are indeed central in the geometric Langlands correspondence.

  1. This function field also has a hierarchical structure. There are hierarchies of polymials of various degrees and also rational functions with coefficient fields in different extensions of rationals. Analytical functions for which the Taylor coefficients are in extensions of rationals in the expansion is the next step. At the ultimate limit one has algebraic numbers as coefficients. Also transcendental extensions can be thought of and in this way one eventually ends up with complex numbers.
  2. For H=M4× CP2, this would correspond to the lowest level of the hierarchy of infinite primes but the Cartesian powers of H=M4× CP2 correspond to the higher levels in the hierarchy of infinite primes. Again, this hierarchy is be analogous to the hierarchy used in the description of condensed matter, 3N-dimensional spaces, N number of particles.
In zero energy ontology (ZEO) (see this), quantum states corresponds to spinor fields of WCW, which consists of space-time surfaces satisfying holography and therefore being analogous to Bohr orbits, and also having interpretation as elements of number field so that one can multiply them (see this and this). WCW spinor fields assign to a given space-time surface a pair of fermionic Fock states at its 3-D ends located at the opposite light-like boundaries of the causal diamond (CD). Could one multiply two WCW spinor fields so that the space-time surfaces appearing as their arguments are multiplied

X41 ∪ X42 → X41*X42 ,

and the tensor product of the fermionic states at the boundaries of CD is formed. This would give

Ψ(X41)⊗ Ψ(X42) (X41∪ X42) → Ψ(X41)⊗ Ψ(X42)(X41*X42) .

Here X41*X42 would be the product of surfaces induced by the function algebra and the product of fermion states would be tensor product. Could Gods compute using spacetime surfaces as numbers and could our arithmetics be a shadow on the wall of the cave.

So: could a believer of TGD dream conclude that these meta-levels and perhaps even mathematical thinking could be described within the framework of the mathematics offered by the infinite dimensional number field formed by the space-time surfaces. This quite a lot more complicated than binary math with a cutoff of the order of 1038!

Product of space-time surfaces as geometric counterpart of the tensor product

What could the product of space-time surfaces mean concretely? The physical intuition suggest that t corresponds to ae creation of an interacting pair of 3-D particles identified as they 4-D Bohr orbits. The product would be the equivalent of a tensor product, but now with interaction. If so, this product could provide a geometric and algebraic description of the interactions.

What would you get?

  1. Let's examine the function pairs (f1,f2) and (g1,g2) defined in H=M4× CP2 and the corresponding space-time surfaces for which (f1,f2)=(0,0) and (g1,g2)=(0,0) apply. It should be noted that, for example, that the condition f1=0 defines the analog of a 6-D twistor space, and the space-time surface X4 is the intersection of the analogs of the twistor bundles of M4 and CP2, i.e., its base space.
  2. The product of the function pairs is (f1g1,f2g2). Its components vanish in four cases.
    1. The cases (f1,f2)= (0,0) and (g1,g2)=(0,0) correspond to the union of the incoming surfaces. The corresponding particles are free.
    2. The cases (f1,g2)= (0,0) and (f2,g1)=(0,0) could define space-time regions having an interpretation in terms of the interaction of the particles. Under what conditions could this interpretation makes sense geometrically?

      Physical intuition suggests that for interacting particles, which do not form a bound state, the product reduces near the passive boundary (initial state) of the CD to the union of the surfaces associated with the free particles. The surfaces (f1,g2)= (0,0) and (f2,g1)=(0,0) would not temporally extend to the passive boundary of the CD. which correspond to the initial state of the particle reaction.

      This imposes some conditions on the functions involved. f1=0 and g2=0 (f2=0 and g1=0) are not satisfied near to the passive boundary of the CD simultaneously , so that the intersection of the corresponding 6-D surfaces (analogous to twistori space) is empty near the boundary of the CD.

      If this condition is not true, the interpretation would be as a bound state. TGD view of nuclei, atoms, and molecules assume that particles forming the bound state are indeed connected by monopole flux tubes (see this).

What about the product of spinors fields?

The WCW spinor field assigns multifermion states to the 3-D ends of a given spacetime surface at the boundaries of the CD. If one can define what happens to the multifermion states associated with the zero energy states in the interaction, then one has a universal construction for the states of WCW as spinor fields of WCW providing a precise description of interactions analogous to an exact solution of an interacting quantum field theory. At the geometric level, the product of the surfaces corresponds to the interaction. At the fermion level, essentially the ordinary tensor product of the multifermion states should correspond to this interaction.

Under what conditions does this vision work for fermionic states as WCW spinors, identified in ZEO as pairs of the many-fermion states at the 3-surfaces at the boundaries of the CD? It is obvious that the definition of the fermion state should be universal in the sense that at the fundamental level the fermion state is defined without saying anything about space-time surfaces involved.

Induction is a basic principle of TGD and the induction of spinor fields indeed conforms with this idea. The basic building bricks of WCW spinor fields are second quantized spinor fields of H restricted to the 3-surfaces defining the ends of the space-time surfaces at the boundaries of CD. Therefore the multifermion states are restrictions of the multifermion states of H to the spacetime surfaces. The Fourier components (in the general sense) for the second quantized spinor field Ψ of H (not WCW!) and its conjugate Ψ{†} would only be confined to the ends of X4 at the light-like boundaries of CD.

The oscillator algebra of H spinor fields makes it possib le to calculate all fermionic propagators and fermionic parts of N-point functions reduce to free fermionic field theory in H but arguments restricted to the space-time surfaces. The dynamics of the formally classical spinor fields of WCW would very concretely be a "shadow" of the dynamics of the second quantized spinor fields of H. One would have a free fermionic field theory in H induced to space-time surfaces!

In this way, one could construct multiparticle states containing an arbitrary number of particles. The construction of quantum spaces would reduce to a multiplication in the number field formed by space-time surfaces, accompanied by fermionic tensor product!

For a summary of earlier postings see Latest progress in TGD.

For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.