Formation of Self-organized Structures in Drying Droplets: a Promising Analytical Tool for Homeopathy Basic Research

The droplet evaporation method (DEM) is based on the evaporation-induced pattern formation in droplets and is applied mainly for medical diagnosis[1].Here, we present aseries of experiments performed by our team showing DEMs potential also forhomeopathy basic research, in particular, for the investigation of(i) low potencies, (ii) low potency complexes (physical model), and (iii) the action of high potencies (plant-based model).Methods:(i) DEM differentiated significantly between Luffa, Baptisia, Echinacea, and Spongiauntil 4x[2]. Furthermore, the patterns varied in function of the numberof succussion strokes (0, 10, or 100) applied during potentization[3]. The performance of chaotic succussions vs. laminar flow vs. slight mixing during the potentization of Viscum album quercus3x influenced the DEM patterns; the chaotic succussions reduced, whereas laminar flow enhanced the patterns complexity vs. the unsuccussed control.(ii) The addition of Mercurius bijodatus9x to Luffa4x changed significantly the DEM patterns, even if the material quantity present in the 9x potency lied far beyond that of ultrapure water.(iii) Leakages obtained by placing healthy or arsenic-damaged wheat-seeds into Arsenicum album45x orheat-damaged intoZincum metallicum30c vs. water created significantly different DEM structures [4, 5]. Results:The damaged seeds put into the potency created structures characterized by a higher complexity than those obtained from damaged seeds put into control water. Furthermore, the potency action seemed to increase with rising numbers ofsuccussion strokes applied during potentization,ascould be shown by means of DEM patterns and germination rate using the same wheat-seed model[6].In all our studies, the pattern evaluation was computerized (texture and fractal analysis performed by means of ImageJ) or based on deep-learning algorithms and the robustness of the experimental system was checked by means of systematic control experiments.Conclusion:DEM together with other similarmethods has also been reviewed by our team for what concerns theapplication in homeopathy basic research[7].

Phenolic acids of modern and ancient grains: Effect on in vitro cell model.

BACKGROUND: The gastrointestinal tract establishes a barrier between the external and internal compartments. When this barrier is disrupted, an inflammatory cascade promotes intestinal inflammation and the development of several intestinal diseases. Plant-derived polyphenols are health-promoting phytochemicals with a role in the regulation of the intestinal barrier and in the prevention of intestinal inflammatory diseases. Modern wheat-breeding programs have been focused primarily on yield improvement rather than nutritional and functional proprieties. Research that aims to characterize the phytochemical profile of wheat varieties and their healthy proprieties could therefore provide new prospects for the genetic improvement of the genus Triticum. In the present work, the effects of phenolic compounds extracted from nine soft and seven durum wheat varieties were studied for their polyphenol content and antioxidant activity. Experiments were conducted to study their effects on cell proliferation and wound healing in three different cell lines: mouse fibroblasts (L929), intestinal human cells (Caco2), and human monocytes (U937). RESULTS: Discriminant analysis evidenced differences between soft and durum wheat phenolic compounds. Among the soft varieties, it was possible to identify clusters in which ancient wheat varieties showed different properties from modern ones, whereas no evident clusters were detected among durum varieties. CONCLUSION: Taken together, these results suggest that the selection of specific wheat grains based on their nutritional parameters will help in the design of diets with protective effects against chronic and inflammatory diseases. © 2019 Society of Chemical Industry.

Number of succussion strokes affects effectiveness of ultra-high-diluted arsenic on in vitro wheat germination and polycrystalline structures obtained by droplet evaporation method.

OBJECTIVES: The aim of this study is to investigate whether the number of succussion strokes applied after each dilution step when preparing the homeopathic treatments influences the effectiveness of ultra-high-diluted (UHD) arsenic trioxide at the 45th decimal dilution/dynamization (As2O3 45x). DESIGN: Wheat seeds, previously stressed with ponderal As2O3, were treated with: As2O3 45x, H2O 45x (dynamized control), or pure water (negative control). The succussion was done manually, and various succussion durations (numbers of strokes) were tested for each treatment. Treatment effectiveness was tested blind using the in vitro germination test and the droplet evaporation method (DEM). Data were processed by the Poisson test (germination test) and by two-way analysis of variance (DEM). MAIN OUTCOME MEASURES: We evaluated both the in vitro germination rate, by counting the non-germinated seeds, and the complexity of polycrystalline structures (PCS) (local connected fractal dimension (LCFD)) obtained by evaporating leakage droplets from stressed seeds that had been watered with the different treatments. RESULTS: We observed a highly significant increase in germination rate when the number of strokes (NS) was ≥32 for both As2O3 45x and H2O 45x, and a significant increase in the LCFD of PCS for As2O3 45x when the NS was ≥32 and for H2O 45x when it was 70. CONCLUSIONS: Both experimental approaches showed increased effectiveness for treatments prepared with a higher number of succussion strokes. These results indicate that succussion may have an important influence on treatment effectiveness, and so highlight the need for further research.

Transcriptome Profiling of Wheat Seedlings following Treatment with Ultrahigh Diluted Arsenic Trioxide.

Plant systems are useful research tools to address basic questions in homeopathy as they make it possible to overcome some of the drawbacks encountered in clinical trials (placebo effect, ethical issues, duration of the experiment, and high costs). The objective of the present study was to test the hypothesis whether 7-day-old wheat seedlings, grown from seeds either poisoned with a sublethal dose of As2O3 or unpoisoned, showed different significant gene expression profiles after the application of ultrahigh diluted As2O3 (beyond Avogadro's limit) compared to water (control). The results provided evidence for a strong gene modulating effect of ultrahigh diluted As2O3 in seedlings grown from poisoned seeds: a massive reduction of gene expression levels to values comparable to those of the control group was observed for several functional classes of genes. A plausible hypothesis is that ultrahigh diluted As2O3 treatment induced a reequilibration of those genes that were upregulated during the oxidative stress by bringing the expression levels closer to the basal levels normally occurring in the control plants.

Droplet evaporation method as a new potential approach for highlighting the effectiveness of ultra high dilutions.

OBJECTIVE: This study sought to verify whether the droplet evaporation method (DEM) can be applied to assess the effectiveness of ultra-high dilutions (UHDs). We studied the shape characteristics of the polycrystalline structures formed during droplet evaporation of wheat seed leakages. METHODS: The experimental protocol tested both unstressed seeds and seeds stressed with arsenic trioxide 5mM, treated with either ultra-high dilutions of the same stressor substance, or with water as a control. The experimental groups were analyzed by DEM and in vitro growth tests. DEM patterns were evaluated for their local connected fractal dimension (measure of complexity) and fluctuating asymmetry (measure of symmetry exactness). RESULTS: Treatment with arsenic at UHD of both stressed and non-stressed seeds increased the local connected fractal dimension levels and bilateral symmetry exactness values in the polycrystalline structures, as compared to the water treatment. The results of in vitro growth tests revealed a stimulating effect of arsenic at UHD vs. control, and a correlation between the changes in growth rate and the crystallographic values of the polycrystalline structures was observed. CONCLUSIONS: The results indicate that polycrystalline structures are sensitive to UHDs, and so for the first time provide grounds for the use of DEM as a new tool for testing UHD effectiveness. DEM could find application as a treatment pre-selection tool, or to monitor sample conditions during treatment. Moreover, when applied to biological liquids (such as saliva, blood, blood serum, etc.), DEM might provide information about UHD effectiveness on human and animal health.

Extremely low doses of arsenic affect in vitro pollen germination.

INTRODUCTION: This study deals with the effects of extremely low doses or high dilutions of pharmacological compounds on in vitro pollen germination of kiwifruit (Actinidia deliciosa). MATERIAL AND METHODS: The biological efficacy of As2O3 at the 5th and 45th decimal dilution/succussion level (As 5x and As 45x) was tested on pollen previously stressed with As2O3 150 or 200 µM. The outcome variable was the pollen germination rate, as detected blind after 3 h 30 min by an Axioplan microscope. RESULTS: A directionally consistent recovery of germination percentage was observed in both As 5x and As 45x after stressing with As2O3 150 µM. When pollen was stressed with As2O3 200 µM only as 45x induced a general and significant germination increase. CONCLUSIONS: Our results suggest that both treatments might partially remove the inhibitory effect caused by the stressor. Similar effects were observed on the same model using weak extremely low frequency magnetic fields (ELF-MFs) mediated through water. Although preliminary, the findings seem to indicate the in vitro pollen performance as adequate to study the effects of physicochemical subthreshold stimuli (extremely low doses or high dilutions of pharmacological compounds, weak ELF-MFs), mediated through water.

Basic research in homeopathy and ultra-high dilutions: what progress is being made?

This report summarises the latest research developments in the field of high dilutions and homeopathy, as presented at the GIRI symposium of the leading international organisation of scientists in this field, in Florence, Italy in September 2012. The scientific community's early scepticism concerning the possible biological and pharmacological activity of highly diluted solutions, is giving way to a more open-minded attitude that no longer obstructs critical and experimental investigations in this emerging field of biomedicine.

Use of homeopathic preparations in experimental studies with abiotically stressed plants.

BACKGROUND: Experimental research on the effects of homeopathic treatments on impaired plants was last reviewed in 1990. OBJECTIVES: To compile a systematic review of the existing literature on basic research in homeopathy with abiotically stressed plants using predefined criteria. METHODS: The literature search was carried out on publications that reported experiments on homeopathy using abiotically stressed whole plants, seeds, plant parts and cells from 1920 to 2010. Outcomes had to be measured by established procedures and statistically evaluated. Using of a Manuscript Information Score (MIS) we identified those publications that provided sufficient information for proper interpretation (MIS≥5). A further evaluation was based on the use of adequate controls to investigate specific effects of homeopathic preparations and on the use of systematic negative control experiments. RESULTS: A total of 34 publications with abiotically stressed plants was identified, published between 1965 and 2010. The 34 publications described a total of 37 experimental studies. Twenty-two studies included statistics, 13 had a MIS≥5, 8 were identified with adequate controls and 4 with negative control experiments. Significant and reproducible effects with decimal and centesimal potencies were found, including dilution levels beyond Avogadro's number. One experimental model was independently assessed by another research team and yielded inverted results compared to the original trial. CONCLUSIONS: Abiotically stressed plant models seem to be a useful approach to investigate homeopathic basic research questions, but more experimentation and especially more independent replication trials are needed. Systematic negative control experiments should be implemented on a routine basis to exclude false-positive results.

Weak static and extremely low frequency magnetic fields affect in vitro pollen germination.

This study concerns the effects of a weak static magnetic field (MF) at 10 µT oriented downward, combined with a 16-Hz sinusoidal MF (10 µT), on in vitro pollen germination of kiwifruit (Actinidia deliciosa). Extremely low frequency magnetic field (ELF-MF) exposure was carried out by a signal generator unit connected to a copper wire solenoid, inside which samples where placed. Two different kinds of treatment were performed: direct and indirect. In the direct treatment, pollen samples were directly exposed during rehydration, germination, or both. In the indirect treatment, the pollen growth medium was prepared with water aliquots (at standard temperature of 20°C and pH = 6.74) that were exposed before use for 8 or 24 h. The main purpose of our research was to identify a biological marker (in vitro pollen germination in a stressing growth medium without Ca2+) susceptible to the effects of direct or indirect ELF-MF exposure. The working variable was the pollen germination rate, as detected blind after 3 h 30 min by an Axioplan microscope. A directionally consistent recovery of germination percentage was observed both for direct exposure (during germination and both rehydration and germination phases) and water-mediated exposure (with water exposed for 24 h and immediately used). Our results suggest that the ELF-MF treatment might partially remove the inhibitory effect caused by the lack of Ca2+ in the culture medium, inducing a release of internal Ca2+ stored in the secretory vesicles of pollen plasma membrane. Although preliminary, findings seem to indicate the in vitro pollen performance as adequate to study the effects of ELF-MFs on living matter.

The efficacy of ultramolecular aqueous dilutions on a wheat germination model as a function of heat and aging-time.

This study evaluates the effects of temperature and aging on the efficacy of As(2)O(3) at the 45th decimal potency in a wheat germination model, compared against a control and potentized H(2)O 45×. Each treatment-temperature combination was tested on seeds (Triticum aestivum L.) of Pandas variety, using six Petri dishes (33 seeds/dish) per trial, performing eight trials. Seeds were pre-treated by poisoning with 0.1% As(2)O(3) solution to reduce germination, to allow a better evaluation of homeopathic treatment effects. The outcome variable was the number of non-germinated seeds after 96 h. Temperature effect was investigated by heating each treatment in a water bath for 30 min (at 20, 40 or 70°C), or for 5 min (at 100°C), and that of aging by dividing experimental data, collected over a period of nearly five months, into two groups: early and late experiments. Results seem to show that the efficacy of As(2)O(3) 45× is unaltered at 20 and 40°C, increases at 70°C and decreases at 100°C. As regards aging, a notable difference was found between early trials, with no significant efficacy, and late trials, where As(2)O(3) 45× exhibits a repeated significant effect versus control, except at 100°C. A reduction in variability was observed for As(2)O(3) 45× at 20°C versus control, confirming the findings of previous work. The main conclusion suggested by this experiment is that the efficacy of As(2)O(3) 45× on wheat germination may be influenced by heating degree and seems to have an increasing trend as a function of aging.

A review of three simple plant models and corresponding statistical tools for basic research in homeopathy.

In this paper, we review three simple plant models (wheat seed germination, wheat seedling growth, and infected tobacco plants) that we set up during a series of experiments carried out from 1991 to 2009 in order to study the effects of homeopathic treatments. We will also describe the set of statistical tools applied in the different models. The homeopathic treatment used in our experiments was arsenic trioxide (As2O3) diluted in a decimal scale and dynamized. Since the most significant results were achieved with the 45th decimal potency, both for As2O3 (As 45x) and water (W 45x), we here report a brief summary of these results. The statistical analysis was performed by using parametric and nonparametric tests, and Poisson distribution had an essential role when dealing with germination experiments. Finally, we will describe some results related to the changes in variability, which seems to be one of the targets of homeopathic treatment effect.

Use of homeopathic preparations in experimental studies with healthy plants.

BACKGROUND: The last comprehensive review of experimental research on effects of homeopathic treatments on plants was published in 1984, and lacked formal predefined criteria to assess study quality. Since then several new studies with more advanced methods have been published. OBJECTIVES: To compile a review of the literature on basic research in homeopathy with healthy plants with particular reference to studies investigating specific effects of homeopathic remedies. METHODS: The literature search included English, French, German, Italian, Portuguese and Spanish publications from 1920 to April 2009, using predefined selection criteria. We included experiments with healthy whole plants, seeds, plant parts and cells. The outcomes had to be measured by established procedures and statistically evaluated. We developed a Manuscript Information Score (MIS) and included only publications which provided enough information for proper interpretation (MIS>or=5). A formalised Study Methods Evaluation Procedure (SMEP) was used to evaluate these studies, and the subgroup of studies with adequate controls to identify specific effects. RESULTS: A total of 86 studies in 79 publications was identified, 43 studies included statistics, 29 had MIS>or=5, and 15 studies investigated the specificity of homeopathic preparations. Specific effects of decimal, centesimal and fifty millesimal potencies were found including dilution levels far beyond the Avogadro number. In consecutive series of potencies only some of the tested potencies showed effects. There were many individual studies with diverse methods and very few reproduction trials. CONCLUSIONS: Healthy plant models seem an useful approach to investigate basic research questions about the specificity of homeopathic preparations. More investigations with more advanced methods are recommended, especially in the sectors of potentisation techniques, effective potency levels and conditions for reproducibility. Systematic negative control experiments should become a routine procedure to control the stability of the experimental systems.

Use of homeopathic preparations in phytopathological models and in field trials: a critical review.

BACKGROUND: The literature on the applications of homeopathy for controlling plant diseases in both plant pathological models and field trials was first reviewed by Scofield in 1984. No other review on homeopathy in plant pathology has been published since, though much new research has subsequently been carried out using more advanced methods. OBJECTIVES: To conduct an up-to-date review of the existing literature on basic research in homeopathy using phytopathological models and experiments in the field. METHODS: A literature search was carried out on publications from 1969 to 2009, for papers that reported experiments on homeopathy using phytopathological models (in vitro and in planta) and field trials. The selected papers were summarized and analysed on the basis of a Manuscript Information Score (MIS) to identify those that provided sufficient information for proper interpretation (MIS>or=5). These were then evaluated using a Study Methods Evaluation Procedure (SMEP). RESULTS: A total of 44 publications on phytopathological models were identified: 19 papers with statistics, 6 studies with MIS>or=5. Publications on field were 9, 6 with MIS>or=5. In general, significant and reproducible effects with decimal and centesimal potencies were found, including dilution levels beyond the Avogadro's number. CONCLUSIONS: The prospects for homeopathic treatments in agriculture are promising, but much more experimentation is needed, especially at a field level, and on potentisation techniques, effective potency levels and conditions for reproducibility. Phytopathological models may also develop into useful tools to answer pharmaceutical questions.

Exogenous spermidine, arsenic and beta-aminobutyric acid modulate tobacco resistance to tobacco mosaic virus, and affect local and systemic glucosylsalicylic acid levels and arginine decarboxylase gene expression in tobacco leaves.

The polyamine spermidine and the metalloid arsenic increased resistance responses in the well-known pathosystem NN tobacco/tobacco mosaic virus (TMV). Both the hypersensitive response to TMV in a leaf disk model system (inoculated disks floating in the 0.1mM treatments) and systemic acquired resistance (SAR) in whole plants were significantly affected. In the latter case, 1mM foliar sprays of spermidine and arsenic were as effective as TMV and dl-beta-aminobutyric acid (BABA), both taken as positive controls, in improving the plant's response to subsequent challenge inoculation with TMV. Moreover, this phenotypic response was correlated with changes in the endogenous concentration of the SAR-related molecule salicylic acid and in transcript levels of some pathogenesis/stress-related genes (pathogenesis-related proteins PR-1a and PR-2 and arginine decarboxylase (ADC)). Concentrations of free salicylic acid and of 2-O-beta-d-glucosylsalicylic acid and mRNA amount of PR-1a, PR-2 and ADC were analyzed in plants treated with either spermidine or arsenic, and compared with those from untreated plants and from positive (TMV-inoculated or BABA-treated) controls. Conjugated salicylic acid content and ADC transcripts were found to significantly increase, at both the local and systemic levels, relative to untreated controls.

Extremely low frequency weak magnetic fields enhance resistance of NN tobacco plants to tobacco mosaic virus and elicit stress-related biochemical activities.

Increasing evidence has accumulated concerning the biological effects of extremely low frequency magnetic fields (ELF-MFs) in different plant models. In the present study, effects of ELF-MFs in tobacco plants reacting to tobacco mosaic virus (TMV) with a hypersensitive response (HR) were evaluated. Plants were exposed for 8 or 24 h (either before or after TMV inoculation) to a static MF, at either -17 or 13 microT, combined with a 10 Hz sinusoidal MF with different intensities (25.6 or 28.9 microT). The working variables were the area and number of hypersensitive lesions in leaves. Following ELF-MFs exposure, an increased resistance was detected, particularly after an 8-h treatment, as shown by the decrease in lesion area and number. Moreover, two enzyme activities involved in resistance mechanisms were analyzed: ornithine decarboxylase (ODC) and phenylalanine ammonia-lyase (PAL). Uninoculated leaves previously exposed to ELF-MFs in general showed a significant increase relative to controls in ODC and PAL activities, in particular for 13 microT static MF plus 28.9 microT, 10 Hz sinusoidal MF (24 h) treatment. In conclusion, ELF-MFs seem to influence the HR of tobacco to TMV, as shown by the increased resistance and changes in ODC and PAL activities, indicating the reliability of the present plant model in the study of bioelectromagnetic interactions.

Transglutaminase activity changes during the hypersensitive reaction, a typical defense response of tobacco NN plants to TMV.

The occurrence of glutamyl polyamines (PAs) and changes in activity and levels of transglutaminase (TGase, EC 2.3.2.13), the enzyme responsible for their synthesis, are reported during the progression of the hypersensitive reaction (HR) of resistant NN tobacco plants (Nicotiana tabacum L. cv. Samsun) to tobacco mosaic virus (TMV). Mature leaves of tobacco were collected over 0-72 h after inoculation with TMV or phosphate buffer (mock). In vivo synthesis of polyamine glutamyl derivatives (glutamyl PAs), catalyzed by TGase activity, was evaluated after supplying labeled putrescine (Pu, a physiological substrate of TGase) to leaves. Results show that, starting from 24 h, mono-(gamma-glutamyl)-Pu and bis-(gamma-glutamyl)-Sd were recovered in TMV-inoculated samples but not in mock-inoculated ones; 2 days later, in the former, the amount of glutamyl derivatives further increased. An in vitro radiometric assay showed that, in TMV-inoculated leaves, TGase activity increased from 24 h onwards relative to mock controls. An immunoblot analysis with AtPng1p polyclonal antibody detected a 72-kDa protein whose amount increased at 72 h in TMV-inoculated leaves and in the lesion-enriched areas. A biotin-labeled cadaverine incorporation assay showed that TGase activity occurred in S1 (containing soluble proteins), S2 (proteins released by both cell walls and membranes) and S3 (membrane intrinsic proteins) fractions. In S3 fraction, where changes were the most relevant, TGase activity was enhanced in both mock-inoculated and TMV-inoculated samples, but the stimulation persisted only in the latter case. These data are discussed in the light of a possible role of TGase activity and glutamyl PAs in the defense against a viral plant pathogen.

Nonthermal microwave radiations affect the hypersensitive response of tobacco to tobacco mosaic virus.

OBJECTIVES: The aim of the present study was to evaluate the effects of nonthermal extremely high-frequency microwave radiations in a plant-based bioassay, represented by tobacco plants reacting to tobacco mosaic virus with a hypersensitive response leading to the appearance of necrotic lesions at the infection sites. DESIGN: This study was performed blind and different experimental protocols on tobacco plants inoculated with tobacco mosaic virus were used. BIO-OBJECTS: Tobacco plants (Nicotiana tabacum L. cultivar Samsun) carrying the resistance gene N against tobacco mosaic virus. INTERVENTIONS: Tobacco plants or leaf disks were either directly or indirectly (water-mediated) irradiated using a medical device, designed for microwave resonance therapy. It produces nonthermal weak-intensity extremely high-frequency radiations, either modulated at extremely low frequency or in continuous flux of waves, coupled with a nonthermal red/near-infrared radiation. OUTCOME MEASUREMENTS: The working variable was the number of hypersensitive lesions per leaf disk. RESULTS: Both direct and indirect nonthermal microwave radiations led to significant effects on the hypersensitive response of tobacco plants: modulated radiations generally induced a resistance increase, whereas a continuous flux of waves induced a resistance decrease with direct treatments only. CONCLUSIONS: Nonthermal microwave radiations are effective on the hypersensitive response of tobacco to tobacco mosaic virus and their low-frequency modulation seems to be more bioactive than the continuous-flux of waves, particularly in the indirect water-mediated treatments.

Weak extremely high frequency microwaves affect pollen-tube emergence and growth in kiwifruit: pollen grain irradiation and water-mediated effects.

OBJECTIVE: This study was designed to evaluate the effects of weak-intensity extremely high frequency (EHF) microwaves in a model system-the plant organism pollen grain-lacking the placebo effect, available in large populations, to ensure accurate statistical analysis, and whose sensitivity is closely relevant to animal and human biology. DESIGN: This study was blinded using an in vitro pollen germination technique. SUBJECTS AND STUDY INTERVENTIONS: Pollen of kiwifruit (Actinidia deliciosa) was either directly irradiated or grown in a medium prepared with irradiated water, using a CromoStim 2000, (PromoPharma, Republic of San Marino) designed for EHF microwave resonance therapy (MRT). It produces weak intensity EHF radiations (40-78 GHz), either continuous wave (cw) or modulated, at a 10 Hz-frequency, with infrared (IR) carried to 635-950 nm, and with an impedance (IPD) of 10(-21) W/Hz cm(2) and a power supply from 0 to 20 mW. OUTCOME MEASUREMENTS: Pollen-tube emergence was expressed as a percent of grains producing a tube and tube elongation was measured at 4 hours of incubation by a turbidimetric assay (A(500)) of cultures, expressed as the net absorbance increase over time 0. RESULTS: At days 2 and 4 during aging, both percent of germination and tube growth significantly and consistently improved over controls in kiwifruit pollen grains irradiated for 30 minutes at day 0 at 10 Hz frequency with the CromoStim 2000. Highly significant effects, either stimulant or inhibitory, were also observed on kiwifruit pollen (stressed or not) growing in a medium prepared with water previously irradiated either cw or modulated. Irradiated water affected pollen germination immediately and even after several days following EHF treatment. CONCLUSIONS: Either direct or indirect EHF irradiation performed by the CromoStim 2000 is effective on pollen growth processes. In both cases, water seemed to play a primary role. According to the quantum electrodynamical coherence theory, our work could also have implications for homeopathy, suggesting a key to explain the efficacy of high dilutions and succussion procedures.